Safe Haskell	Safe-Inferred
Language	Haskell2010

MAlonzo.Code.Algebra.Structures

Documentation

d__DistributesOver__16 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d__DistributesOver'691'__18 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d__DistributesOver'737'__20 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_AlmostLeftCancellative_30 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_AlmostRightCancellative_32 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_Alternative_34 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_Associative_36 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_Commutative_40 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_Congruent'8321'_42 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> () #

d_Congruent'8322'_44 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_Flexible_48 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_Idempotent_50 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_Identical_54 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_Identity_56 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_Inverse_60 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> AgdaAny -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_LeftAlternative_66 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_LeftBol_68 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_LeftCongruent_72 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_LeftDivides_76 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_LeftDivides'691'_78 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_LeftDivides'737'_80 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_LeftIdentity_82 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_LeftInverse_84 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> AgdaAny -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_LeftSemimedial_88 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_LeftZero_90 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_Medial_92 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_MiddleBol_94 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_RightAlternative_96 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_RightBol_98 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_RightCongruent_102 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_RightDivides_106 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_RightDivides'691'_108 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_RightDivides'737'_110 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_RightIdentity_112 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_RightInverse_114 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> AgdaAny -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_RightSemimedial_118 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_RightZero_120 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_Selective_122 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_Semimedial_126 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_StarDestructive_128 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> () #

d_StarExpansive_130 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> () #

d_StarLeftDestructive_132 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> () #

d_StarLeftExpansive_134 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> () #

d_StarRightDestructive_136 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> () #

d_StarRightExpansive_138 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> () #

d_Zero_140 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> () #

d_IsSuccessorSet_146 :: p -> p -> p -> p -> p -> p -> () #

data T_IsSuccessorSet_146 #

Constructors

C_IsSuccessorSet'46'constructor_817 T_IsEquivalence_26 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)

d_isEquivalence_156 :: T_IsSuccessorSet_146 -> T_IsEquivalence_26 #

d_suc'35''45'cong_158 :: T_IsSuccessorSet_146 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isPartialEquivalence_162 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSuccessorSet_146 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_162 :: T_IsSuccessorSet_146 -> T_IsPartialEquivalence_16 #

d_refl_164 :: T_IsSuccessorSet_146 -> AgdaAny -> AgdaAny #

d_reflexive_166 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSuccessorSet_146 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_166 :: T_IsSuccessorSet_146 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_sym_168 :: T_IsSuccessorSet_146 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_170 :: T_IsSuccessorSet_146 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_setoid_172 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSuccessorSet_146 -> T_Setoid_44 #

du_setoid_172 :: T_IsSuccessorSet_146 -> T_Setoid_44 #

d_IsMagma_176 :: p -> p -> p -> p -> p -> () #

data T_IsMagma_176 #

Constructors

C_IsMagma'46'constructor_1867 T_IsEquivalence_26 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)

d_isEquivalence_184 :: T_IsMagma_176 -> T_IsEquivalence_26 #

d_'8729''45'cong_186 :: T_IsMagma_176 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isPartialEquivalence_190 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsMagma_176 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_190 :: T_IsMagma_176 -> T_IsPartialEquivalence_16 #

d_refl_192 :: T_IsMagma_176 -> AgdaAny -> AgdaAny #

d_reflexive_194 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsMagma_176 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_194 :: T_IsMagma_176 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_sym_196 :: T_IsMagma_176 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_198 :: T_IsMagma_176 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_setoid_200 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsMagma_176 -> T_Setoid_44 #

du_setoid_200 :: T_IsMagma_176 -> T_Setoid_44 #

d_'8729''45'cong'737'_202 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsMagma_176 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_202 :: T_IsMagma_176 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_206 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsMagma_176 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_206 :: T_IsMagma_176 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsCommutativeMagma_212 :: p -> p -> p -> p -> p -> () #

data T_IsCommutativeMagma_212 #

Constructors

C_IsCommutativeMagma'46'constructor_3749 T_IsMagma_176 (AgdaAny -> AgdaAny -> AgdaAny)

d_isMagma_220 :: T_IsCommutativeMagma_212 -> T_IsMagma_176 #

d_comm_222 :: T_IsCommutativeMagma_212 -> AgdaAny -> AgdaAny -> AgdaAny #

d_isEquivalence_226 :: T_IsCommutativeMagma_212 -> T_IsEquivalence_26 #

d_isPartialEquivalence_228 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeMagma_212 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_228 :: T_IsCommutativeMagma_212 -> T_IsPartialEquivalence_16 #

d_refl_230 :: T_IsCommutativeMagma_212 -> AgdaAny -> AgdaAny #

d_reflexive_232 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeMagma_212 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_232 :: T_IsCommutativeMagma_212 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_234 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeMagma_212 -> T_Setoid_44 #

du_setoid_234 :: T_IsCommutativeMagma_212 -> T_Setoid_44 #

d_sym_236 :: T_IsCommutativeMagma_212 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_238 :: T_IsCommutativeMagma_212 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_240 :: T_IsCommutativeMagma_212 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_242 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeMagma_212 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_242 :: T_IsCommutativeMagma_212 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_244 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeMagma_212 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_244 :: T_IsCommutativeMagma_212 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsIdempotentMagma_248 :: p -> p -> p -> p -> p -> () #

data T_IsIdempotentMagma_248 #

Constructors

C_IsIdempotentMagma'46'constructor_4535 T_IsMagma_176 (AgdaAny -> AgdaAny)

d_isMagma_256 :: T_IsIdempotentMagma_248 -> T_IsMagma_176 #

d_idem_258 :: T_IsIdempotentMagma_248 -> AgdaAny -> AgdaAny #

d_isEquivalence_262 :: T_IsIdempotentMagma_248 -> T_IsEquivalence_26 #

d_isPartialEquivalence_264 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsIdempotentMagma_248 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_264 :: T_IsIdempotentMagma_248 -> T_IsPartialEquivalence_16 #

d_refl_266 :: T_IsIdempotentMagma_248 -> AgdaAny -> AgdaAny #

d_reflexive_268 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsIdempotentMagma_248 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_268 :: T_IsIdempotentMagma_248 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_270 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsIdempotentMagma_248 -> T_Setoid_44 #

du_setoid_270 :: T_IsIdempotentMagma_248 -> T_Setoid_44 #

d_sym_272 :: T_IsIdempotentMagma_248 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_274 :: T_IsIdempotentMagma_248 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_276 :: T_IsIdempotentMagma_248 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_278 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsIdempotentMagma_248 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_278 :: T_IsIdempotentMagma_248 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_280 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsIdempotentMagma_248 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_280 :: T_IsIdempotentMagma_248 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsAlternativeMagma_284 :: p -> p -> p -> p -> p -> () #

data T_IsAlternativeMagma_284 #

Constructors

C_IsAlternativeMagma'46'constructor_5319 T_IsMagma_176 T_Σ_14

d_isMagma_292 :: T_IsAlternativeMagma_284 -> T_IsMagma_176 #

d_alter_294 :: T_IsAlternativeMagma_284 -> T_Σ_14 #

d_isEquivalence_298 :: T_IsAlternativeMagma_284 -> T_IsEquivalence_26 #

d_isPartialEquivalence_300 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsAlternativeMagma_284 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_300 :: T_IsAlternativeMagma_284 -> T_IsPartialEquivalence_16 #

d_refl_302 :: T_IsAlternativeMagma_284 -> AgdaAny -> AgdaAny #

d_reflexive_304 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsAlternativeMagma_284 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_304 :: T_IsAlternativeMagma_284 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_306 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsAlternativeMagma_284 -> T_Setoid_44 #

du_setoid_306 :: T_IsAlternativeMagma_284 -> T_Setoid_44 #

d_sym_308 :: T_IsAlternativeMagma_284 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_310 :: T_IsAlternativeMagma_284 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_312 :: T_IsAlternativeMagma_284 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_314 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsAlternativeMagma_284 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_314 :: T_IsAlternativeMagma_284 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_316 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsAlternativeMagma_284 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_316 :: T_IsAlternativeMagma_284 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_alternative'737'_318 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsAlternativeMagma_284 -> AgdaAny -> AgdaAny -> AgdaAny #

du_alternative'737'_318 :: T_IsAlternativeMagma_284 -> AgdaAny -> AgdaAny -> AgdaAny #

d_alternative'691'_320 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsAlternativeMagma_284 -> AgdaAny -> AgdaAny -> AgdaAny #

du_alternative'691'_320 :: T_IsAlternativeMagma_284 -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsFlexibleMagma_324 :: p -> p -> p -> p -> p -> () #

data T_IsFlexibleMagma_324 #

Constructors

C_IsFlexibleMagma'46'constructor_6681 T_IsMagma_176 (AgdaAny -> AgdaAny -> AgdaAny)

d_isMagma_332 :: T_IsFlexibleMagma_324 -> T_IsMagma_176 #

d_flex_334 :: T_IsFlexibleMagma_324 -> AgdaAny -> AgdaAny -> AgdaAny #

d_isEquivalence_338 :: T_IsFlexibleMagma_324 -> T_IsEquivalence_26 #

d_isPartialEquivalence_340 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsFlexibleMagma_324 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_340 :: T_IsFlexibleMagma_324 -> T_IsPartialEquivalence_16 #

d_refl_342 :: T_IsFlexibleMagma_324 -> AgdaAny -> AgdaAny #

d_reflexive_344 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsFlexibleMagma_324 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_344 :: T_IsFlexibleMagma_324 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_346 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsFlexibleMagma_324 -> T_Setoid_44 #

du_setoid_346 :: T_IsFlexibleMagma_324 -> T_Setoid_44 #

d_sym_348 :: T_IsFlexibleMagma_324 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_350 :: T_IsFlexibleMagma_324 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_352 :: T_IsFlexibleMagma_324 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_354 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsFlexibleMagma_324 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_354 :: T_IsFlexibleMagma_324 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_356 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsFlexibleMagma_324 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_356 :: T_IsFlexibleMagma_324 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsMedialMagma_360 :: p -> p -> p -> p -> p -> () #

data T_IsMedialMagma_360 #

Constructors

C_IsMedialMagma'46'constructor_7467 T_IsMagma_176 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)

d_isMagma_368 :: T_IsMedialMagma_360 -> T_IsMagma_176 #

d_medial_370 :: T_IsMedialMagma_360 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isEquivalence_374 :: T_IsMedialMagma_360 -> T_IsEquivalence_26 #

d_isPartialEquivalence_376 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsMedialMagma_360 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_376 :: T_IsMedialMagma_360 -> T_IsPartialEquivalence_16 #

d_refl_378 :: T_IsMedialMagma_360 -> AgdaAny -> AgdaAny #

d_reflexive_380 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsMedialMagma_360 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_380 :: T_IsMedialMagma_360 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_382 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsMedialMagma_360 -> T_Setoid_44 #

du_setoid_382 :: T_IsMedialMagma_360 -> T_Setoid_44 #

d_sym_384 :: T_IsMedialMagma_360 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_386 :: T_IsMedialMagma_360 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_388 :: T_IsMedialMagma_360 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_390 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsMedialMagma_360 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_390 :: T_IsMedialMagma_360 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_392 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsMedialMagma_360 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_392 :: T_IsMedialMagma_360 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsSemimedialMagma_396 :: p -> p -> p -> p -> p -> () #

data T_IsSemimedialMagma_396 #

Constructors

C_IsSemimedialMagma'46'constructor_8257 T_IsMagma_176 T_Σ_14

d_isMagma_404 :: T_IsSemimedialMagma_396 -> T_IsMagma_176 #

d_semiMedial_406 :: T_IsSemimedialMagma_396 -> T_Σ_14 #

d_isEquivalence_410 :: T_IsSemimedialMagma_396 -> T_IsEquivalence_26 #

d_isPartialEquivalence_412 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemimedialMagma_396 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_412 :: T_IsSemimedialMagma_396 -> T_IsPartialEquivalence_16 #

d_refl_414 :: T_IsSemimedialMagma_396 -> AgdaAny -> AgdaAny #

d_reflexive_416 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemimedialMagma_396 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_416 :: T_IsSemimedialMagma_396 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_418 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemimedialMagma_396 -> T_Setoid_44 #

du_setoid_418 :: T_IsSemimedialMagma_396 -> T_Setoid_44 #

d_sym_420 :: T_IsSemimedialMagma_396 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_422 :: T_IsSemimedialMagma_396 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_424 :: T_IsSemimedialMagma_396 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_426 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemimedialMagma_396 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_426 :: T_IsSemimedialMagma_396 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_428 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemimedialMagma_396 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_428 :: T_IsSemimedialMagma_396 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_semimedial'737'_430 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemimedialMagma_396 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_semimedial'737'_430 :: T_IsSemimedialMagma_396 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_semimedial'691'_432 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemimedialMagma_396 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_semimedial'691'_432 :: T_IsSemimedialMagma_396 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsSelectiveMagma_436 :: p -> p -> p -> p -> p -> () #

data T_IsSelectiveMagma_436 #

Constructors

C_IsSelectiveMagma'46'constructor_9631 T_IsMagma_176 (AgdaAny -> AgdaAny -> T__'8846'__30)

d_isMagma_444 :: T_IsSelectiveMagma_436 -> T_IsMagma_176 #

d_sel_446 :: T_IsSelectiveMagma_436 -> AgdaAny -> AgdaAny -> T__'8846'__30 #

d_isEquivalence_450 :: T_IsSelectiveMagma_436 -> T_IsEquivalence_26 #

d_isPartialEquivalence_452 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSelectiveMagma_436 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_452 :: T_IsSelectiveMagma_436 -> T_IsPartialEquivalence_16 #

d_refl_454 :: T_IsSelectiveMagma_436 -> AgdaAny -> AgdaAny #

d_reflexive_456 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSelectiveMagma_436 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_456 :: T_IsSelectiveMagma_436 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_458 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSelectiveMagma_436 -> T_Setoid_44 #

du_setoid_458 :: T_IsSelectiveMagma_436 -> T_Setoid_44 #

d_sym_460 :: T_IsSelectiveMagma_436 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_462 :: T_IsSelectiveMagma_436 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_464 :: T_IsSelectiveMagma_436 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_466 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSelectiveMagma_436 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_466 :: T_IsSelectiveMagma_436 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_468 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSelectiveMagma_436 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_468 :: T_IsSelectiveMagma_436 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsSemigroup_472 :: p -> p -> p -> p -> p -> () #

data T_IsSemigroup_472 #

Constructors

C_IsSemigroup'46'constructor_10417 T_IsMagma_176 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)

d_isMagma_480 :: T_IsSemigroup_472 -> T_IsMagma_176 #

d_assoc_482 :: T_IsSemigroup_472 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isEquivalence_486 :: T_IsSemigroup_472 -> T_IsEquivalence_26 #

d_isPartialEquivalence_488 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemigroup_472 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_488 :: T_IsSemigroup_472 -> T_IsPartialEquivalence_16 #

d_refl_490 :: T_IsSemigroup_472 -> AgdaAny -> AgdaAny #

d_reflexive_492 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemigroup_472 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_492 :: T_IsSemigroup_472 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_494 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemigroup_472 -> T_Setoid_44 #

du_setoid_494 :: T_IsSemigroup_472 -> T_Setoid_44 #

d_sym_496 :: T_IsSemigroup_472 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_498 :: T_IsSemigroup_472 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_500 :: T_IsSemigroup_472 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_502 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemigroup_472 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_502 :: T_IsSemigroup_472 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_504 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemigroup_472 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_504 :: T_IsSemigroup_472 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsBand_508 :: p -> p -> p -> p -> p -> () #

data T_IsBand_508 #

Constructors

C_IsBand'46'constructor_11205 T_IsSemigroup_472 (AgdaAny -> AgdaAny)

d_isSemigroup_516 :: T_IsBand_508 -> T_IsSemigroup_472 #

d_idem_518 :: T_IsBand_508 -> AgdaAny -> AgdaAny #

d_assoc_522 :: T_IsBand_508 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isEquivalence_524 :: T_IsBand_508 -> T_IsEquivalence_26 #

d_isMagma_526 :: T_IsBand_508 -> T_IsMagma_176 #

d_isPartialEquivalence_528 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsBand_508 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_528 :: T_IsBand_508 -> T_IsPartialEquivalence_16 #

d_refl_530 :: T_IsBand_508 -> AgdaAny -> AgdaAny #

d_reflexive_532 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsBand_508 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_532 :: T_IsBand_508 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_534 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsBand_508 -> T_Setoid_44 #

du_setoid_534 :: T_IsBand_508 -> T_Setoid_44 #

d_sym_536 :: T_IsBand_508 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_538 :: T_IsBand_508 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_540 :: T_IsBand_508 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_542 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsBand_508 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_542 :: T_IsBand_508 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_544 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsBand_508 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_544 :: T_IsBand_508 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsCommutativeSemigroup_548 :: p -> p -> p -> p -> p -> () #

data T_IsCommutativeSemigroup_548 #

Constructors

C_IsCommutativeSemigroup'46'constructor_12093 T_IsSemigroup_472 (AgdaAny -> AgdaAny -> AgdaAny)

d_isSemigroup_556 :: T_IsCommutativeSemigroup_548 -> T_IsSemigroup_472 #

d_comm_558 :: T_IsCommutativeSemigroup_548 -> AgdaAny -> AgdaAny -> AgdaAny #

d_assoc_562 :: T_IsCommutativeSemigroup_548 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isEquivalence_564 :: T_IsCommutativeSemigroup_548 -> T_IsEquivalence_26 #

d_isMagma_566 :: T_IsCommutativeSemigroup_548 -> T_IsMagma_176 #

d_isPartialEquivalence_568 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeSemigroup_548 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_568 :: T_IsCommutativeSemigroup_548 -> T_IsPartialEquivalence_16 #

d_refl_570 :: T_IsCommutativeSemigroup_548 -> AgdaAny -> AgdaAny #

d_reflexive_572 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeSemigroup_548 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_572 :: T_IsCommutativeSemigroup_548 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_574 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeSemigroup_548 -> T_Setoid_44 #

du_setoid_574 :: T_IsCommutativeSemigroup_548 -> T_Setoid_44 #

d_sym_576 :: T_IsCommutativeSemigroup_548 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_578 :: T_IsCommutativeSemigroup_548 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_580 :: T_IsCommutativeSemigroup_548 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_582 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeSemigroup_548 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_582 :: T_IsCommutativeSemigroup_548 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_584 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeSemigroup_548 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_584 :: T_IsCommutativeSemigroup_548 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isCommutativeMagma_586 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeSemigroup_548 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_586 :: T_IsCommutativeSemigroup_548 -> T_IsCommutativeMagma_212 #

d_IsCommutativeBand_590 :: p -> p -> p -> p -> p -> () #

data T_IsCommutativeBand_590 #

Constructors

C_IsCommutativeBand'46'constructor_13109 T_IsBand_508 (AgdaAny -> AgdaAny -> AgdaAny)

d_isBand_598 :: T_IsCommutativeBand_590 -> T_IsBand_508 #

d_comm_600 :: T_IsCommutativeBand_590 -> AgdaAny -> AgdaAny -> AgdaAny #

d_assoc_604 :: T_IsCommutativeBand_590 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_idem_606 :: T_IsCommutativeBand_590 -> AgdaAny -> AgdaAny #

d_isEquivalence_608 :: T_IsCommutativeBand_590 -> T_IsEquivalence_26 #

d_isMagma_610 :: T_IsCommutativeBand_590 -> T_IsMagma_176 #

d_isPartialEquivalence_612 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeBand_590 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_612 :: T_IsCommutativeBand_590 -> T_IsPartialEquivalence_16 #

d_isSemigroup_614 :: T_IsCommutativeBand_590 -> T_IsSemigroup_472 #

d_refl_616 :: T_IsCommutativeBand_590 -> AgdaAny -> AgdaAny #

d_reflexive_618 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeBand_590 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_618 :: T_IsCommutativeBand_590 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_620 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeBand_590 -> T_Setoid_44 #

du_setoid_620 :: T_IsCommutativeBand_590 -> T_Setoid_44 #

d_sym_622 :: T_IsCommutativeBand_590 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_624 :: T_IsCommutativeBand_590 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_626 :: T_IsCommutativeBand_590 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_628 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeBand_590 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_628 :: T_IsCommutativeBand_590 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_630 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeBand_590 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_630 :: T_IsCommutativeBand_590 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isCommutativeSemigroup_632 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeBand_590 -> T_IsCommutativeSemigroup_548 #

du_isCommutativeSemigroup_632 :: T_IsCommutativeBand_590 -> T_IsCommutativeSemigroup_548 #

d_isCommutativeMagma_636 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeBand_590 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_636 :: T_IsCommutativeBand_590 -> T_IsCommutativeMagma_212 #

d_IsUnitalMagma_642 :: p -> p -> p -> p -> p -> p -> () #

data T_IsUnitalMagma_642 #

Constructors

C_IsUnitalMagma'46'constructor_14317 T_IsMagma_176 T_Σ_14

d_isMagma_652 :: T_IsUnitalMagma_642 -> T_IsMagma_176 #

d_identity_654 :: T_IsUnitalMagma_642 -> T_Σ_14 #

d_isEquivalence_658 :: T_IsUnitalMagma_642 -> T_IsEquivalence_26 #

d_isPartialEquivalence_660 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsUnitalMagma_642 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_660 :: T_IsUnitalMagma_642 -> T_IsPartialEquivalence_16 #

d_refl_662 :: T_IsUnitalMagma_642 -> AgdaAny -> AgdaAny #

d_reflexive_664 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsUnitalMagma_642 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_664 :: T_IsUnitalMagma_642 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_666 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsUnitalMagma_642 -> T_Setoid_44 #

du_setoid_666 :: T_IsUnitalMagma_642 -> T_Setoid_44 #

d_sym_668 :: T_IsUnitalMagma_642 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_670 :: T_IsUnitalMagma_642 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_672 :: T_IsUnitalMagma_642 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_674 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsUnitalMagma_642 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_674 :: T_IsUnitalMagma_642 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_676 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsUnitalMagma_642 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_676 :: T_IsUnitalMagma_642 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity'737'_678 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsUnitalMagma_642 -> AgdaAny -> AgdaAny #

du_identity'737'_678 :: T_IsUnitalMagma_642 -> AgdaAny -> AgdaAny #

d_identity'691'_680 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsUnitalMagma_642 -> AgdaAny -> AgdaAny #

du_identity'691'_680 :: T_IsUnitalMagma_642 -> AgdaAny -> AgdaAny #

d_IsMonoid_686 :: p -> p -> p -> p -> p -> p -> () #

data T_IsMonoid_686 #

Constructors

C_IsMonoid'46'constructor_15873 T_IsSemigroup_472 T_Σ_14

d_isSemigroup_696 :: T_IsMonoid_686 -> T_IsSemigroup_472 #

d_identity_698 :: T_IsMonoid_686 -> T_Σ_14 #

d_assoc_702 :: T_IsMonoid_686 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isEquivalence_704 :: T_IsMonoid_686 -> T_IsEquivalence_26 #

d_isMagma_706 :: T_IsMonoid_686 -> T_IsMagma_176 #

d_isPartialEquivalence_708 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMonoid_686 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_708 :: T_IsMonoid_686 -> T_IsPartialEquivalence_16 #

d_refl_710 :: T_IsMonoid_686 -> AgdaAny -> AgdaAny #

d_reflexive_712 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMonoid_686 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_712 :: T_IsMonoid_686 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_714 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMonoid_686 -> T_Setoid_44 #

du_setoid_714 :: T_IsMonoid_686 -> T_Setoid_44 #

d_sym_716 :: T_IsMonoid_686 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_718 :: T_IsMonoid_686 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_720 :: T_IsMonoid_686 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_722 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMonoid_686 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_722 :: T_IsMonoid_686 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_724 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMonoid_686 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_724 :: T_IsMonoid_686 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity'737'_726 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMonoid_686 -> AgdaAny -> AgdaAny #

du_identity'737'_726 :: T_IsMonoid_686 -> AgdaAny -> AgdaAny #

d_identity'691'_728 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMonoid_686 -> AgdaAny -> AgdaAny #

du_identity'691'_728 :: T_IsMonoid_686 -> AgdaAny -> AgdaAny #

d_isUnitalMagma_730 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMonoid_686 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_730 :: T_IsMonoid_686 -> T_IsUnitalMagma_642 #

d_IsCommutativeMonoid_736 :: p -> p -> p -> p -> p -> p -> () #

data T_IsCommutativeMonoid_736 #

Constructors

C_IsCommutativeMonoid'46'constructor_17695 T_IsMonoid_686 (AgdaAny -> AgdaAny -> AgdaAny)

d_isMonoid_746 :: T_IsCommutativeMonoid_736 -> T_IsMonoid_686 #

d_comm_748 :: T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny -> AgdaAny #

d_assoc_752 :: T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_754 :: T_IsCommutativeMonoid_736 -> T_Σ_14 #

d_identity'691'_756 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny #

du_identity'691'_756 :: T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny #

d_identity'737'_758 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny #

du_identity'737'_758 :: T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny #

d_isEquivalence_760 :: T_IsCommutativeMonoid_736 -> T_IsEquivalence_26 #

d_isMagma_762 :: T_IsCommutativeMonoid_736 -> T_IsMagma_176 #

d_isPartialEquivalence_764 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeMonoid_736 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_764 :: T_IsCommutativeMonoid_736 -> T_IsPartialEquivalence_16 #

d_isSemigroup_766 :: T_IsCommutativeMonoid_736 -> T_IsSemigroup_472 #

d_isUnitalMagma_768 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeMonoid_736 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_768 :: T_IsCommutativeMonoid_736 -> T_IsUnitalMagma_642 #

d_refl_770 :: T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny #

d_reflexive_772 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_772 :: T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_774 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeMonoid_736 -> T_Setoid_44 #

du_setoid_774 :: T_IsCommutativeMonoid_736 -> T_Setoid_44 #

d_sym_776 :: T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_778 :: T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_780 :: T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_782 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_782 :: T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_784 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_784 :: T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isCommutativeSemigroup_786 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeMonoid_736 -> T_IsCommutativeSemigroup_548 #

du_isCommutativeSemigroup_786 :: T_IsCommutativeMonoid_736 -> T_IsCommutativeSemigroup_548 #

d_isCommutativeMagma_790 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeMonoid_736 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_790 :: T_IsCommutativeMonoid_736 -> T_IsCommutativeMagma_212 #

d_IsIdempotentMonoid_796 :: p -> p -> p -> p -> p -> p -> () #

data T_IsIdempotentMonoid_796 #

Constructors

C_IsIdempotentMonoid'46'constructor_19237 T_IsMonoid_686 (AgdaAny -> AgdaAny)

d_isMonoid_806 :: T_IsIdempotentMonoid_796 -> T_IsMonoid_686 #

d_idem_808 :: T_IsIdempotentMonoid_796 -> AgdaAny -> AgdaAny #

d_assoc_812 :: T_IsIdempotentMonoid_796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_814 :: T_IsIdempotentMonoid_796 -> T_Σ_14 #

d_identity'691'_816 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentMonoid_796 -> AgdaAny -> AgdaAny #

du_identity'691'_816 :: T_IsIdempotentMonoid_796 -> AgdaAny -> AgdaAny #

d_identity'737'_818 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentMonoid_796 -> AgdaAny -> AgdaAny #

du_identity'737'_818 :: T_IsIdempotentMonoid_796 -> AgdaAny -> AgdaAny #

d_isEquivalence_820 :: T_IsIdempotentMonoid_796 -> T_IsEquivalence_26 #

d_isMagma_822 :: T_IsIdempotentMonoid_796 -> T_IsMagma_176 #

d_isPartialEquivalence_824 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentMonoid_796 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_824 :: T_IsIdempotentMonoid_796 -> T_IsPartialEquivalence_16 #

d_isSemigroup_826 :: T_IsIdempotentMonoid_796 -> T_IsSemigroup_472 #

d_isUnitalMagma_828 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentMonoid_796 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_828 :: T_IsIdempotentMonoid_796 -> T_IsUnitalMagma_642 #

d_refl_830 :: T_IsIdempotentMonoid_796 -> AgdaAny -> AgdaAny #

d_reflexive_832 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentMonoid_796 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_832 :: T_IsIdempotentMonoid_796 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_834 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentMonoid_796 -> T_Setoid_44 #

du_setoid_834 :: T_IsIdempotentMonoid_796 -> T_Setoid_44 #

d_sym_836 :: T_IsIdempotentMonoid_796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_838 :: T_IsIdempotentMonoid_796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_840 :: T_IsIdempotentMonoid_796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_842 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentMonoid_796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_842 :: T_IsIdempotentMonoid_796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_844 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentMonoid_796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_844 :: T_IsIdempotentMonoid_796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isBand_846 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentMonoid_796 -> T_IsBand_508 #

du_isBand_846 :: T_IsIdempotentMonoid_796 -> T_IsBand_508 #

d_IsIdempotentCommutativeMonoid_852 :: p -> p -> p -> p -> p -> p -> () #

data T_IsIdempotentCommutativeMonoid_852 #

Constructors

C_IsIdempotentCommutativeMonoid'46'constructor_20685 T_IsCommutativeMonoid_736 (AgdaAny -> AgdaAny)

d_isCommutativeMonoid_862 :: T_IsIdempotentCommutativeMonoid_852 -> T_IsCommutativeMonoid_736 #

d_idem_864 :: T_IsIdempotentCommutativeMonoid_852 -> AgdaAny -> AgdaAny #

d_assoc_868 :: T_IsIdempotentCommutativeMonoid_852 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_comm_870 :: T_IsIdempotentCommutativeMonoid_852 -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_872 :: T_IsIdempotentCommutativeMonoid_852 -> T_Σ_14 #

d_identity'691'_874 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentCommutativeMonoid_852 -> AgdaAny -> AgdaAny #

du_identity'691'_874 :: T_IsIdempotentCommutativeMonoid_852 -> AgdaAny -> AgdaAny #

d_identity'737'_876 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentCommutativeMonoid_852 -> AgdaAny -> AgdaAny #

du_identity'737'_876 :: T_IsIdempotentCommutativeMonoid_852 -> AgdaAny -> AgdaAny #

d_isCommutativeMagma_878 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentCommutativeMonoid_852 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_878 :: T_IsIdempotentCommutativeMonoid_852 -> T_IsCommutativeMagma_212 #

d_isCommutativeSemigroup_880 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentCommutativeMonoid_852 -> T_IsCommutativeSemigroup_548 #

du_isCommutativeSemigroup_880 :: T_IsIdempotentCommutativeMonoid_852 -> T_IsCommutativeSemigroup_548 #

d_isEquivalence_882 :: T_IsIdempotentCommutativeMonoid_852 -> T_IsEquivalence_26 #

d_isMagma_884 :: T_IsIdempotentCommutativeMonoid_852 -> T_IsMagma_176 #

d_isMonoid_886 :: T_IsIdempotentCommutativeMonoid_852 -> T_IsMonoid_686 #

d_isPartialEquivalence_888 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentCommutativeMonoid_852 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_888 :: T_IsIdempotentCommutativeMonoid_852 -> T_IsPartialEquivalence_16 #

d_isSemigroup_890 :: T_IsIdempotentCommutativeMonoid_852 -> T_IsSemigroup_472 #

d_isUnitalMagma_892 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentCommutativeMonoid_852 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_892 :: T_IsIdempotentCommutativeMonoid_852 -> T_IsUnitalMagma_642 #

d_refl_894 :: T_IsIdempotentCommutativeMonoid_852 -> AgdaAny -> AgdaAny #

d_reflexive_896 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentCommutativeMonoid_852 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_896 :: T_IsIdempotentCommutativeMonoid_852 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_898 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentCommutativeMonoid_852 -> T_Setoid_44 #

du_setoid_898 :: T_IsIdempotentCommutativeMonoid_852 -> T_Setoid_44 #

d_sym_900 :: T_IsIdempotentCommutativeMonoid_852 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_902 :: T_IsIdempotentCommutativeMonoid_852 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_904 :: T_IsIdempotentCommutativeMonoid_852 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_906 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentCommutativeMonoid_852 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_906 :: T_IsIdempotentCommutativeMonoid_852 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_908 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentCommutativeMonoid_852 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_908 :: T_IsIdempotentCommutativeMonoid_852 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isIdempotentMonoid_910 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentCommutativeMonoid_852 -> T_IsIdempotentMonoid_796 #

du_isIdempotentMonoid_910 :: T_IsIdempotentCommutativeMonoid_852 -> T_IsIdempotentMonoid_796 #

d_isBand_914 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentCommutativeMonoid_852 -> T_IsBand_508 #

du_isBand_914 :: T_IsIdempotentCommutativeMonoid_852 -> T_IsBand_508 #

d_isCommutativeBand_916 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsIdempotentCommutativeMonoid_852 -> T_IsCommutativeBand_590 #

du_isCommutativeBand_916 :: T_IsIdempotentCommutativeMonoid_852 -> T_IsCommutativeBand_590 #

d_IsInvertibleMagma_924 :: p -> p -> p -> p -> p -> p -> p -> () #

data T_IsInvertibleMagma_924 #

Constructors

C_IsInvertibleMagma'46'constructor_22695 T_IsMagma_176 T_Σ_14 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)

d_isMagma_938 :: T_IsInvertibleMagma_924 -> T_IsMagma_176 #

d_inverse_940 :: T_IsInvertibleMagma_924 -> T_Σ_14 #

d_'8315''185''45'cong_942 :: T_IsInvertibleMagma_924 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isEquivalence_946 :: T_IsInvertibleMagma_924 -> T_IsEquivalence_26 #

d_isPartialEquivalence_948 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsInvertibleMagma_924 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_948 :: T_IsInvertibleMagma_924 -> T_IsPartialEquivalence_16 #

d_refl_950 :: T_IsInvertibleMagma_924 -> AgdaAny -> AgdaAny #

d_reflexive_952 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsInvertibleMagma_924 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_952 :: T_IsInvertibleMagma_924 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_954 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsInvertibleMagma_924 -> T_Setoid_44 #

du_setoid_954 :: T_IsInvertibleMagma_924 -> T_Setoid_44 #

d_sym_956 :: T_IsInvertibleMagma_924 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_958 :: T_IsInvertibleMagma_924 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_960 :: T_IsInvertibleMagma_924 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_962 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsInvertibleMagma_924 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_962 :: T_IsInvertibleMagma_924 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_964 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsInvertibleMagma_924 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_964 :: T_IsInvertibleMagma_924 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_inverse'737'_966 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsInvertibleMagma_924 -> AgdaAny -> AgdaAny #

du_inverse'737'_966 :: T_IsInvertibleMagma_924 -> AgdaAny -> AgdaAny #

d_inverse'691'_968 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsInvertibleMagma_924 -> AgdaAny -> AgdaAny #

du_inverse'691'_968 :: T_IsInvertibleMagma_924 -> AgdaAny -> AgdaAny #

d_IsInvertibleUnitalMagma_976 :: p -> p -> p -> p -> p -> p -> p -> () #

data T_IsInvertibleUnitalMagma_976 #

Constructors

C_IsInvertibleUnitalMagma'46'constructor_24571 T_IsInvertibleMagma_924 T_Σ_14

d_isInvertibleMagma_988 :: T_IsInvertibleUnitalMagma_976 -> T_IsInvertibleMagma_924 #

d_identity_990 :: T_IsInvertibleUnitalMagma_976 -> T_Σ_14 #

d_inverse_994 :: T_IsInvertibleUnitalMagma_976 -> T_Σ_14 #

d_inverse'691'_996 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny #

du_inverse'691'_996 :: T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny #

d_inverse'737'_998 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny #

du_inverse'737'_998 :: T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny #

d_isEquivalence_1000 :: T_IsInvertibleUnitalMagma_976 -> T_IsEquivalence_26 #

d_isMagma_1002 :: T_IsInvertibleUnitalMagma_976 -> T_IsMagma_176 #

d_isPartialEquivalence_1004 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsInvertibleUnitalMagma_976 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_1004 :: T_IsInvertibleUnitalMagma_976 -> T_IsPartialEquivalence_16 #

d_refl_1006 :: T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny #

d_reflexive_1008 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_1008 :: T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_1010 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsInvertibleUnitalMagma_976 -> T_Setoid_44 #

du_setoid_1010 :: T_IsInvertibleUnitalMagma_976 -> T_Setoid_44 #

d_sym_1012 :: T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_1014 :: T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8315''185''45'cong_1016 :: T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_1018 :: T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_1020 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_1020 :: T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_1022 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_1022 :: T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity'737'_1024 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny #

du_identity'737'_1024 :: T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny #

d_identity'691'_1026 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny #

du_identity'691'_1026 :: T_IsInvertibleUnitalMagma_976 -> AgdaAny -> AgdaAny #

d_isUnitalMagma_1028 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsInvertibleUnitalMagma_976 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_1028 :: T_IsInvertibleUnitalMagma_976 -> T_IsUnitalMagma_642 #

d_IsGroup_1036 :: p -> p -> p -> p -> p -> p -> p -> () #

data T_IsGroup_1036 #

Constructors

C_IsGroup'46'constructor_26963 T_IsMonoid_686 T_Σ_14 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)

d_isMonoid_1050 :: T_IsGroup_1036 -> T_IsMonoid_686 #

d_inverse_1052 :: T_IsGroup_1036 -> T_Σ_14 #

d_'8315''185''45'cong_1054 :: T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_assoc_1058 :: T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_1060 :: T_IsGroup_1036 -> T_Σ_14 #

d_identity'691'_1062 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> AgdaAny -> AgdaAny #

du_identity'691'_1062 :: T_IsGroup_1036 -> AgdaAny -> AgdaAny #

d_identity'737'_1064 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> AgdaAny -> AgdaAny #

du_identity'737'_1064 :: T_IsGroup_1036 -> AgdaAny -> AgdaAny #

d_isEquivalence_1066 :: T_IsGroup_1036 -> T_IsEquivalence_26 #

d_isMagma_1068 :: T_IsGroup_1036 -> T_IsMagma_176 #

d_isPartialEquivalence_1070 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_1070 :: T_IsGroup_1036 -> T_IsPartialEquivalence_16 #

d_isSemigroup_1072 :: T_IsGroup_1036 -> T_IsSemigroup_472 #

d_isUnitalMagma_1074 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_1074 :: T_IsGroup_1036 -> T_IsUnitalMagma_642 #

d_refl_1076 :: T_IsGroup_1036 -> AgdaAny -> AgdaAny #

d_reflexive_1078 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_1078 :: T_IsGroup_1036 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_1080 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> T_Setoid_44 #

du_setoid_1080 :: T_IsGroup_1036 -> T_Setoid_44 #

d_sym_1082 :: T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_1084 :: T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_1086 :: T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_1088 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_1088 :: T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_1090 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_1090 :: T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d__'92''92'__1092 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny #

du__'92''92'__1092 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny #

d__'47''47'__1098 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny #

du__'47''47'__1098 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny #

d__'45'__1104 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny #

du__'45'__1104 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny #

d_inverse'737'_1106 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> AgdaAny -> AgdaAny #

du_inverse'737'_1106 :: T_IsGroup_1036 -> AgdaAny -> AgdaAny #

d_inverse'691'_1108 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> AgdaAny -> AgdaAny #

du_inverse'691'_1108 :: T_IsGroup_1036 -> AgdaAny -> AgdaAny #

d_unique'737''45''8315''185'_1114 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_unique'737''45''8315''185'_1114 :: (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_unique'691''45''8315''185'_1120 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_unique'691''45''8315''185'_1120 :: (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isInvertibleMagma_1122 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> T_IsInvertibleMagma_924 #

du_isInvertibleMagma_1122 :: T_IsGroup_1036 -> T_IsInvertibleMagma_924 #

d_isInvertibleUnitalMagma_1124 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsGroup_1036 -> T_IsInvertibleUnitalMagma_976 #

du_isInvertibleUnitalMagma_1124 :: T_IsGroup_1036 -> T_IsInvertibleUnitalMagma_976 #

d_IsAbelianGroup_1132 :: p -> p -> p -> p -> p -> p -> p -> () #

data T_IsAbelianGroup_1132 #

Constructors

C_IsAbelianGroup'46'constructor_32441 T_IsGroup_1036 (AgdaAny -> AgdaAny -> AgdaAny)

d_isGroup_1144 :: T_IsAbelianGroup_1132 -> T_IsGroup_1036 #

d_comm_1146 :: T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny #

d__'47''47'__1150 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny #

du__'47''47'__1150 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny #

d_assoc_1152 :: T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_1154 :: T_IsAbelianGroup_1132 -> T_Σ_14 #

d_identity'691'_1156 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny #

du_identity'691'_1156 :: T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny #

d_identity'737'_1158 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny #

du_identity'737'_1158 :: T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny #

d_inverse_1160 :: T_IsAbelianGroup_1132 -> T_Σ_14 #

d_inverse'691'_1162 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny #

du_inverse'691'_1162 :: T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny #

d_inverse'737'_1164 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny #

du_inverse'737'_1164 :: T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny #

d_isEquivalence_1166 :: T_IsAbelianGroup_1132 -> T_IsEquivalence_26 #

d_isInvertibleMagma_1168 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> T_IsInvertibleMagma_924 #

du_isInvertibleMagma_1168 :: T_IsAbelianGroup_1132 -> T_IsInvertibleMagma_924 #

d_isInvertibleUnitalMagma_1170 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> T_IsInvertibleUnitalMagma_976 #

du_isInvertibleUnitalMagma_1170 :: T_IsAbelianGroup_1132 -> T_IsInvertibleUnitalMagma_976 #

d_isMagma_1172 :: T_IsAbelianGroup_1132 -> T_IsMagma_176 #

d_isMonoid_1174 :: T_IsAbelianGroup_1132 -> T_IsMonoid_686 #

d_isPartialEquivalence_1176 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_1176 :: T_IsAbelianGroup_1132 -> T_IsPartialEquivalence_16 #

d_isSemigroup_1178 :: T_IsAbelianGroup_1132 -> T_IsSemigroup_472 #

d_isUnitalMagma_1180 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_1180 :: T_IsAbelianGroup_1132 -> T_IsUnitalMagma_642 #

d_refl_1182 :: T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny #

d_reflexive_1184 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_1184 :: T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_1186 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> T_Setoid_44 #

du_setoid_1186 :: T_IsAbelianGroup_1132 -> T_Setoid_44 #

d_sym_1188 :: T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_1190 :: T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_unique'691''45''8315''185'_1192 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_unique'691''45''8315''185'_1192 :: (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_unique'737''45''8315''185'_1194 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_unique'737''45''8315''185'_1194 :: (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8315''185''45'cong_1196 :: T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_1198 :: T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_1200 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_1200 :: T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_1202 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_1202 :: T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isCommutativeMonoid_1204 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> T_IsCommutativeMonoid_736 #

du_isCommutativeMonoid_1204 :: T_IsAbelianGroup_1132 -> T_IsCommutativeMonoid_736 #

d_isCommutativeMagma_1208 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_1208 :: T_IsAbelianGroup_1132 -> T_IsCommutativeMagma_212 #

d_isCommutativeSemigroup_1210 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132 -> T_IsCommutativeSemigroup_548 #

du_isCommutativeSemigroup_1210 :: T_IsAbelianGroup_1132 -> T_IsCommutativeSemigroup_548 #

d_IsNearSemiring_1218 :: p -> p -> p -> p -> p -> p -> p -> () #

data T_IsNearSemiring_1218 #

Constructors

C_IsNearSemiring'46'constructor_35025 T_IsMonoid_686 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) (AgdaAny -> AgdaAny)

d_'43''45'isMonoid_1236 :: T_IsNearSemiring_1218 -> T_IsMonoid_686 #

d_'42''45'cong_1238 :: T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'assoc_1240 :: T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_distrib'691'_1242 :: T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_zero'737'_1244 :: T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny #

d_assoc_1248 :: T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_1250 :: T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_1252 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_1252 :: T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_1254 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_1254 :: T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_1256 :: T_IsNearSemiring_1218 -> T_Σ_14 #

d_identity'691'_1258 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny #

du_identity'691'_1258 :: T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny #

d_identity'737'_1260 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny #

du_identity'737'_1260 :: T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny #

d_isMagma_1262 :: T_IsNearSemiring_1218 -> T_IsMagma_176 #

d_isSemigroup_1264 :: T_IsNearSemiring_1218 -> T_IsSemigroup_472 #

d_isUnitalMagma_1266 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsNearSemiring_1218 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_1266 :: T_IsNearSemiring_1218 -> T_IsUnitalMagma_642 #

d_isEquivalence_1268 :: T_IsNearSemiring_1218 -> T_IsEquivalence_26 #

d_isPartialEquivalence_1270 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsNearSemiring_1218 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_1270 :: T_IsNearSemiring_1218 -> T_IsPartialEquivalence_16 #

d_refl_1272 :: T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny #

d_reflexive_1274 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_1274 :: T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_1276 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsNearSemiring_1218 -> T_Setoid_44 #

du_setoid_1276 :: T_IsNearSemiring_1218 -> T_Setoid_44 #

d_sym_1278 :: T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_1280 :: T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'isMagma_1282 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsNearSemiring_1218 -> T_IsMagma_176 #

du_'42''45'isMagma_1282 :: T_IsNearSemiring_1218 -> T_IsMagma_176 #

d_'42''45'isSemigroup_1284 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsNearSemiring_1218 -> T_IsSemigroup_472 #

du_'42''45'isSemigroup_1284 :: T_IsNearSemiring_1218 -> T_IsSemigroup_472 #

d_'8729''45'cong'691'_1288 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_1288 :: T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_1290 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_1290 :: T_IsNearSemiring_1218 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsSemiringWithoutOne_1298 :: p -> p -> p -> p -> p -> p -> p -> () #

data T_IsSemiringWithoutOne_1298 #

Constructors

C_IsSemiringWithoutOne'46'constructor_37629 T_IsCommutativeMonoid_736 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) T_Σ_14 T_Σ_14

d_'43''45'isCommutativeMonoid_1316 :: T_IsSemiringWithoutOne_1298 -> T_IsCommutativeMonoid_736 #

d_'42''45'cong_1318 :: T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'assoc_1320 :: T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_distrib_1322 :: T_IsSemiringWithoutOne_1298 -> T_Σ_14 #

d_zero_1324 :: T_IsSemiringWithoutOne_1298 -> T_Σ_14 #

d_comm_1328 :: T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny -> AgdaAny #

d_isCommutativeMagma_1330 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_1330 :: T_IsSemiringWithoutOne_1298 -> T_IsCommutativeMagma_212 #

d_isCommutativeSemigroup_1332 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> T_IsCommutativeSemigroup_548 #

du_isCommutativeSemigroup_1332 :: T_IsSemiringWithoutOne_1298 -> T_IsCommutativeSemigroup_548 #

d_isMonoid_1334 :: T_IsSemiringWithoutOne_1298 -> T_IsMonoid_686 #

d_setoid_1336 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> T_Setoid_44 #

du_setoid_1336 :: T_IsSemiringWithoutOne_1298 -> T_Setoid_44 #

d__'8776'__1340 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny -> () #

d__'8777'__1342 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny -> () #

d_Carrier_1344 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> () #

d_isEquivalence_1346 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> T_IsEquivalence_26 #

du_isEquivalence_1346 :: T_IsSemiringWithoutOne_1298 -> T_IsEquivalence_26 #

d_isPartialEquivalence_1348 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_1348 :: T_IsSemiringWithoutOne_1298 -> T_IsPartialEquivalence_16 #

d_partialSetoid_1350 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> T_PartialSetoid_10 #

du_partialSetoid_1350 :: T_IsSemiringWithoutOne_1298 -> T_PartialSetoid_10 #

d_refl_1352 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny #

du_refl_1352 :: T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny #

d_reflexive_1354 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_1354 :: T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_sym_1356 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_sym_1356 :: T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_1358 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_trans_1358 :: T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'isMagma_1360 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> T_IsMagma_176 #

du_'42''45'isMagma_1360 :: T_IsSemiringWithoutOne_1298 -> T_IsMagma_176 #

d_'42''45'isSemigroup_1362 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> T_IsSemigroup_472 #

du_'42''45'isSemigroup_1362 :: T_IsSemiringWithoutOne_1298 -> T_IsSemigroup_472 #

d_'8729''45'cong'691'_1366 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_1366 :: T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_1368 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_1368 :: T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_zero'737'_1370 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny #

du_zero'737'_1370 :: T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny #

d_zero'691'_1372 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny #

du_zero'691'_1372 :: T_IsSemiringWithoutOne_1298 -> AgdaAny -> AgdaAny #

d_isNearSemiring_1374 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsSemiringWithoutOne_1298 -> T_IsNearSemiring_1218 #

du_isNearSemiring_1374 :: T_IsSemiringWithoutOne_1298 -> T_IsNearSemiring_1218 #

d_IsCommutativeSemiringWithoutOne_1382 :: p -> p -> p -> p -> p -> p -> p -> () #

data T_IsCommutativeSemiringWithoutOne_1382 #

Constructors

C_IsCommutativeSemiringWithoutOne'46'constructor_41457 T_IsSemiringWithoutOne_1298 (AgdaAny -> AgdaAny -> AgdaAny)

d_isSemiringWithoutOne_1394 :: T_IsCommutativeSemiringWithoutOne_1382 -> T_IsSemiringWithoutOne_1298 #

d_'42''45'comm_1396 :: T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny -> AgdaAny #

d__'8776'__1400 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny -> () #

d__'8777'__1402 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny -> () #

d_'42''45'assoc_1404 :: T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'cong_1406 :: T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_1408 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_1408 :: T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_1410 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_1410 :: T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'isMagma_1412 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> T_IsMagma_176 #

du_'42''45'isMagma_1412 :: T_IsCommutativeSemiringWithoutOne_1382 -> T_IsMagma_176 #

d_'42''45'isSemigroup_1414 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> T_IsSemigroup_472 #

du_'42''45'isSemigroup_1414 :: T_IsCommutativeSemiringWithoutOne_1382 -> T_IsSemigroup_472 #

d_comm_1416 :: T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny -> AgdaAny #

d_isCommutativeMagma_1418 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_1418 :: T_IsCommutativeSemiringWithoutOne_1382 -> T_IsCommutativeMagma_212 #

d_'43''45'isCommutativeMonoid_1420 :: T_IsCommutativeSemiringWithoutOne_1382 -> T_IsCommutativeMonoid_736 #

d_isCommutativeSemigroup_1422 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> T_IsCommutativeSemigroup_548 #

du_isCommutativeSemigroup_1422 :: T_IsCommutativeSemiringWithoutOne_1382 -> T_IsCommutativeSemigroup_548 #

d_isMonoid_1424 :: T_IsCommutativeSemiringWithoutOne_1382 -> T_IsMonoid_686 #

d_Carrier_1426 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> () #

d_distrib_1428 :: T_IsCommutativeSemiringWithoutOne_1382 -> T_Σ_14 #

d_isEquivalence_1430 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> T_IsEquivalence_26 #

du_isEquivalence_1430 :: T_IsCommutativeSemiringWithoutOne_1382 -> T_IsEquivalence_26 #

d_isNearSemiring_1432 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> T_IsNearSemiring_1218 #

du_isNearSemiring_1432 :: T_IsCommutativeSemiringWithoutOne_1382 -> T_IsNearSemiring_1218 #

d_isPartialEquivalence_1434 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_1434 :: T_IsCommutativeSemiringWithoutOne_1382 -> T_IsPartialEquivalence_16 #

d_partialSetoid_1436 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> T_PartialSetoid_10 #

du_partialSetoid_1436 :: T_IsCommutativeSemiringWithoutOne_1382 -> T_PartialSetoid_10 #

d_refl_1438 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny #

du_refl_1438 :: T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny #

d_reflexive_1440 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_1440 :: T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_1442 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> T_Setoid_44 #

du_setoid_1442 :: T_IsCommutativeSemiringWithoutOne_1382 -> T_Setoid_44 #

d_sym_1444 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_sym_1444 :: T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_1446 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_trans_1446 :: T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_zero_1448 :: T_IsCommutativeSemiringWithoutOne_1382 -> T_Σ_14 #

d_zero'691'_1450 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny #

du_zero'691'_1450 :: T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny #

d_zero'737'_1452 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny #

du_zero'737'_1452 :: T_IsCommutativeSemiringWithoutOne_1382 -> AgdaAny -> AgdaAny #

d_'42''45'isCommutativeSemigroup_1454 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> T_IsCommutativeSemigroup_548 #

du_'42''45'isCommutativeSemigroup_1454 :: T_IsCommutativeSemiringWithoutOne_1382 -> T_IsCommutativeSemigroup_548 #

d_isCommutativeMagma_1458 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeSemiringWithoutOne_1382 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_1458 :: T_IsCommutativeSemiringWithoutOne_1382 -> T_IsCommutativeMagma_212 #

d_IsSemiringWithoutAnnihilatingZero_1468 :: p -> p -> p -> p -> p -> p -> p -> p -> () #

data T_IsSemiringWithoutAnnihilatingZero_1468 #

Constructors

C_IsSemiringWithoutAnnihilatingZero'46'constructor_43811 T_IsCommutativeMonoid_736 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) T_Σ_14 T_Σ_14

d_'43''45'isCommutativeMonoid_1488 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsCommutativeMonoid_736 #

d_'42''45'cong_1490 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'assoc_1492 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'identity_1494 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> T_Σ_14 #

d_distrib_1496 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> T_Σ_14 #

d_distrib'737'_1498 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'737'_1498 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_distrib'691'_1500 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'691'_1500 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_assoc_1504 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_comm_1506 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_1508 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_1510 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_1510 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_1512 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_1512 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_1514 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> T_Σ_14 #

d_identity'691'_1516 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny #

du_identity'691'_1516 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny #

d_identity'737'_1518 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny #

du_identity'737'_1518 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny #

d_isCommutativeMagma_1520 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_1520 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsCommutativeMagma_212 #

d_isCommutativeSemigroup_1522 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsCommutativeSemigroup_548 #

du_isCommutativeSemigroup_1522 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsCommutativeSemigroup_548 #

d_isMagma_1524 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsMagma_176 #

d_isMonoid_1526 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsMonoid_686 #

d_isSemigroup_1528 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsSemigroup_472 #

d_isUnitalMagma_1530 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_1530 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsUnitalMagma_642 #

d_isEquivalence_1532 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsEquivalence_26 #

d_isPartialEquivalence_1534 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_1534 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsPartialEquivalence_16 #

d_refl_1536 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny #

d_reflexive_1538 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_1538 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_1540 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> T_Setoid_44 #

du_setoid_1540 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> T_Setoid_44 #

d_sym_1542 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_1544 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'isMagma_1546 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsMagma_176 #

du_'42''45'isMagma_1546 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsMagma_176 #

d_'42''45'isSemigroup_1548 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsSemigroup_472 #

du_'42''45'isSemigroup_1548 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsSemigroup_472 #

d_'42''45'isMonoid_1550 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsMonoid_686 #

du_'42''45'isMonoid_1550 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> T_IsMonoid_686 #

d_'8729''45'cong'691'_1554 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_1554 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_1556 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_1556 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity'691'_1558 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny #

du_identity'691'_1558 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny #

d_identity'737'_1560 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny #

du_identity'737'_1560 :: T_IsSemiringWithoutAnnihilatingZero_1468 -> AgdaAny -> AgdaAny #

d_IsSemiring_1570 :: p -> p -> p -> p -> p -> p -> p -> p -> () #

data T_IsSemiring_1570 #

Constructors

C_IsSemiring'46'constructor_48071 T_IsSemiringWithoutAnnihilatingZero_1468 T_Σ_14

d_isSemiringWithoutAnnihilatingZero_1584 :: T_IsSemiring_1570 -> T_IsSemiringWithoutAnnihilatingZero_1468 #

d_zero_1586 :: T_IsSemiring_1570 -> T_Σ_14 #

d_'42''45'assoc_1590 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'cong_1592 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_1594 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_1594 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_1596 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_1596 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'identity_1598 :: T_IsSemiring_1570 -> T_Σ_14 #

d_identity'691'_1600 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> AgdaAny -> AgdaAny #

du_identity'691'_1600 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny #

d_identity'737'_1602 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> AgdaAny -> AgdaAny #

du_identity'737'_1602 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny #

d_'42''45'isMagma_1604 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> T_IsMagma_176 #

du_'42''45'isMagma_1604 :: T_IsSemiring_1570 -> T_IsMagma_176 #

d_'42''45'isMonoid_1606 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> T_IsMonoid_686 #

du_'42''45'isMonoid_1606 :: T_IsSemiring_1570 -> T_IsMonoid_686 #

d_'42''45'isSemigroup_1608 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> T_IsSemigroup_472 #

du_'42''45'isSemigroup_1608 :: T_IsSemiring_1570 -> T_IsSemigroup_472 #

d_assoc_1610 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_comm_1612 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_1614 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_1616 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_1616 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_1618 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_1618 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_1620 :: T_IsSemiring_1570 -> T_Σ_14 #

d_identity'691'_1622 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> AgdaAny -> AgdaAny #

du_identity'691'_1622 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny #

d_identity'737'_1624 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> AgdaAny -> AgdaAny #

du_identity'737'_1624 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny #

d_isCommutativeMagma_1626 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_1626 :: T_IsSemiring_1570 -> T_IsCommutativeMagma_212 #

d_'43''45'isCommutativeMonoid_1628 :: T_IsSemiring_1570 -> T_IsCommutativeMonoid_736 #

d_isCommutativeSemigroup_1630 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> T_IsCommutativeSemigroup_548 #

du_isCommutativeSemigroup_1630 :: T_IsSemiring_1570 -> T_IsCommutativeSemigroup_548 #

d_isMagma_1632 :: T_IsSemiring_1570 -> T_IsMagma_176 #

d_isMonoid_1634 :: T_IsSemiring_1570 -> T_IsMonoid_686 #

d_isSemigroup_1636 :: T_IsSemiring_1570 -> T_IsSemigroup_472 #

d_isUnitalMagma_1638 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_1638 :: T_IsSemiring_1570 -> T_IsUnitalMagma_642 #

d_distrib_1640 :: T_IsSemiring_1570 -> T_Σ_14 #

d_distrib'691'_1642 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'691'_1642 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_distrib'737'_1644 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'737'_1644 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isEquivalence_1646 :: T_IsSemiring_1570 -> T_IsEquivalence_26 #

d_isPartialEquivalence_1648 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_1648 :: T_IsSemiring_1570 -> T_IsPartialEquivalence_16 #

d_refl_1650 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny #

d_reflexive_1652 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_1652 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_1654 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> T_Setoid_44 #

du_setoid_1654 :: T_IsSemiring_1570 -> T_Setoid_44 #

d_sym_1656 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_1658 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isSemiringWithoutOne_1660 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> T_IsSemiringWithoutOne_1298 #

du_isSemiringWithoutOne_1660 :: T_IsSemiring_1570 -> T_IsSemiringWithoutOne_1298 #

d_isNearSemiring_1664 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> T_IsNearSemiring_1218 #

du_isNearSemiring_1664 :: T_IsSemiring_1570 -> T_IsNearSemiring_1218 #

d_zero'691'_1666 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> AgdaAny -> AgdaAny #

du_zero'691'_1666 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny #

d_zero'737'_1668 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsSemiring_1570 -> AgdaAny -> AgdaAny #

du_zero'737'_1668 :: T_IsSemiring_1570 -> AgdaAny -> AgdaAny #

d_IsCommutativeSemiring_1678 :: p -> p -> p -> p -> p -> p -> p -> p -> () #

data T_IsCommutativeSemiring_1678 #

Constructors

C_IsCommutativeSemiring'46'constructor_51895 T_IsSemiring_1570 (AgdaAny -> AgdaAny -> AgdaAny)

d_isSemiring_1692 :: T_IsCommutativeSemiring_1678 -> T_IsSemiring_1570 #

d_'42''45'comm_1694 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'assoc_1698 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'cong_1700 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_1702 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_1702 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_1704 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_1704 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'identity_1706 :: T_IsCommutativeSemiring_1678 -> T_Σ_14 #

d_identity'691'_1708 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny #

du_identity'691'_1708 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny #

d_identity'737'_1710 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny #

du_identity'737'_1710 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny #

d_'42''45'isMagma_1712 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> T_IsMagma_176 #

du_'42''45'isMagma_1712 :: T_IsCommutativeSemiring_1678 -> T_IsMagma_176 #

d_'42''45'isMonoid_1714 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> T_IsMonoid_686 #

du_'42''45'isMonoid_1714 :: T_IsCommutativeSemiring_1678 -> T_IsMonoid_686 #

d_'42''45'isSemigroup_1716 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> T_IsSemigroup_472 #

du_'42''45'isSemigroup_1716 :: T_IsCommutativeSemiring_1678 -> T_IsSemigroup_472 #

d_assoc_1718 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_comm_1720 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_1722 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_1724 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_1724 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_1726 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_1726 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_1728 :: T_IsCommutativeSemiring_1678 -> T_Σ_14 #

d_identity'691'_1730 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny #

du_identity'691'_1730 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny #

d_identity'737'_1732 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny #

du_identity'737'_1732 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny #

d_isCommutativeMagma_1734 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_1734 :: T_IsCommutativeSemiring_1678 -> T_IsCommutativeMagma_212 #

d_'43''45'isCommutativeMonoid_1736 :: T_IsCommutativeSemiring_1678 -> T_IsCommutativeMonoid_736 #

d_isCommutativeSemigroup_1738 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> T_IsCommutativeSemigroup_548 #

du_isCommutativeSemigroup_1738 :: T_IsCommutativeSemiring_1678 -> T_IsCommutativeSemigroup_548 #

d_isMagma_1740 :: T_IsCommutativeSemiring_1678 -> T_IsMagma_176 #

d_isMonoid_1742 :: T_IsCommutativeSemiring_1678 -> T_IsMonoid_686 #

d_isSemigroup_1744 :: T_IsCommutativeSemiring_1678 -> T_IsSemigroup_472 #

d_isUnitalMagma_1746 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_1746 :: T_IsCommutativeSemiring_1678 -> T_IsUnitalMagma_642 #

d_distrib_1748 :: T_IsCommutativeSemiring_1678 -> T_Σ_14 #

d_distrib'691'_1750 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'691'_1750 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_distrib'737'_1752 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'737'_1752 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isEquivalence_1754 :: T_IsCommutativeSemiring_1678 -> T_IsEquivalence_26 #

d_isNearSemiring_1756 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> T_IsNearSemiring_1218 #

du_isNearSemiring_1756 :: T_IsCommutativeSemiring_1678 -> T_IsNearSemiring_1218 #

d_isPartialEquivalence_1758 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_1758 :: T_IsCommutativeSemiring_1678 -> T_IsPartialEquivalence_16 #

d_isSemiringWithoutAnnihilatingZero_1760 :: T_IsCommutativeSemiring_1678 -> T_IsSemiringWithoutAnnihilatingZero_1468 #

d_isSemiringWithoutOne_1762 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> T_IsSemiringWithoutOne_1298 #

du_isSemiringWithoutOne_1762 :: T_IsCommutativeSemiring_1678 -> T_IsSemiringWithoutOne_1298 #

d_refl_1764 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny #

d_reflexive_1766 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_1766 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_1768 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> T_Setoid_44 #

du_setoid_1768 :: T_IsCommutativeSemiring_1678 -> T_Setoid_44 #

d_sym_1770 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_1772 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_zero_1774 :: T_IsCommutativeSemiring_1678 -> T_Σ_14 #

d_zero'691'_1776 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny #

du_zero'691'_1776 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny #

d_zero'737'_1778 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny #

du_zero'737'_1778 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny #

d_isCommutativeSemiringWithoutOne_1780 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> T_IsCommutativeSemiringWithoutOne_1382 #

du_isCommutativeSemiringWithoutOne_1780 :: T_IsCommutativeSemiring_1678 -> T_IsCommutativeSemiringWithoutOne_1382 #

d_isCommutativeMagma_1784 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_1784 :: T_IsCommutativeSemiring_1678 -> T_IsCommutativeMagma_212 #

d_'42''45'isCommutativeSemigroup_1786 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> T_IsCommutativeSemigroup_548 #

du_'42''45'isCommutativeSemigroup_1786 :: T_IsCommutativeSemiring_1678 -> T_IsCommutativeSemigroup_548 #

d_'42''45'isCommutativeMonoid_1788 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678 -> T_IsCommutativeMonoid_736 #

du_'42''45'isCommutativeMonoid_1788 :: T_IsCommutativeSemiring_1678 -> T_IsCommutativeMonoid_736 #

d_IsCancellativeCommutativeSemiring_1798 :: p -> p -> p -> p -> p -> p -> p -> p -> () #

data T_IsCancellativeCommutativeSemiring_1798 #

Constructors

C_IsCancellativeCommutativeSemiring'46'constructor_55863 T_IsCommutativeSemiring_1678 (AgdaAny -> AgdaAny -> AgdaAny -> (AgdaAny -> T_Irrelevant_20) -> AgdaAny -> AgdaAny)

d_isCommutativeSemiring_1812 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsCommutativeSemiring_1678 #

d_'42''45'cancel'737''45'nonZero_1814 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> (AgdaAny -> T_Irrelevant_20) -> AgdaAny -> AgdaAny #

d_'42''45'assoc_1818 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'comm_1820 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'cong_1822 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_1824 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_1824 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_1826 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_1826 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'identity_1828 :: T_IsCancellativeCommutativeSemiring_1798 -> T_Σ_14 #

d_identity'691'_1830 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny #

du_identity'691'_1830 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny #

d_identity'737'_1832 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny #

du_identity'737'_1832 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny #

d_isCommutativeMagma_1834 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_1834 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsCommutativeMagma_212 #

d_'42''45'isCommutativeMonoid_1836 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> T_IsCommutativeMonoid_736 #

du_'42''45'isCommutativeMonoid_1836 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsCommutativeMonoid_736 #

d_'42''45'isCommutativeSemigroup_1838 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> T_IsCommutativeSemigroup_548 #

du_'42''45'isCommutativeSemigroup_1838 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsCommutativeSemigroup_548 #

d_'42''45'isMagma_1840 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> T_IsMagma_176 #

du_'42''45'isMagma_1840 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsMagma_176 #

d_'42''45'isMonoid_1842 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> T_IsMonoid_686 #

du_'42''45'isMonoid_1842 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsMonoid_686 #

d_'42''45'isSemigroup_1844 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> T_IsSemigroup_472 #

du_'42''45'isSemigroup_1844 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsSemigroup_472 #

d_assoc_1846 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_comm_1848 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_1850 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_1852 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_1852 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_1854 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_1854 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_1856 :: T_IsCancellativeCommutativeSemiring_1798 -> T_Σ_14 #

d_identity'691'_1858 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny #

du_identity'691'_1858 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny #

d_identity'737'_1860 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny #

du_identity'737'_1860 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny #

d_isCommutativeMagma_1862 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_1862 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsCommutativeMagma_212 #

d_'43''45'isCommutativeMonoid_1864 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsCommutativeMonoid_736 #

d_isCommutativeSemigroup_1866 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> T_IsCommutativeSemigroup_548 #

du_isCommutativeSemigroup_1866 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsCommutativeSemigroup_548 #

d_isMagma_1868 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsMagma_176 #

d_isMonoid_1870 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsMonoid_686 #

d_isSemigroup_1872 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsSemigroup_472 #

d_isUnitalMagma_1874 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_1874 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsUnitalMagma_642 #

d_distrib_1876 :: T_IsCancellativeCommutativeSemiring_1798 -> T_Σ_14 #

d_distrib'691'_1878 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'691'_1878 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_distrib'737'_1880 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'737'_1880 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isCommutativeSemiringWithoutOne_1882 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> T_IsCommutativeSemiringWithoutOne_1382 #

du_isCommutativeSemiringWithoutOne_1882 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsCommutativeSemiringWithoutOne_1382 #

d_isEquivalence_1884 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsEquivalence_26 #

d_isNearSemiring_1886 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> T_IsNearSemiring_1218 #

du_isNearSemiring_1886 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsNearSemiring_1218 #

d_isPartialEquivalence_1888 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_1888 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsPartialEquivalence_16 #

d_isSemiring_1890 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsSemiring_1570 #

d_isSemiringWithoutAnnihilatingZero_1892 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsSemiringWithoutAnnihilatingZero_1468 #

d_isSemiringWithoutOne_1894 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> T_IsSemiringWithoutOne_1298 #

du_isSemiringWithoutOne_1894 :: T_IsCancellativeCommutativeSemiring_1798 -> T_IsSemiringWithoutOne_1298 #

d_refl_1896 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny #

d_reflexive_1898 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_1898 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_1900 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> T_Setoid_44 #

du_setoid_1900 :: T_IsCancellativeCommutativeSemiring_1798 -> T_Setoid_44 #

d_sym_1902 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_1904 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_zero_1906 :: T_IsCancellativeCommutativeSemiring_1798 -> T_Σ_14 #

d_zero'691'_1908 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny #

du_zero'691'_1908 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny #

d_zero'737'_1910 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny #

du_zero'737'_1910 :: T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny #

d_'42''45'cancel'691''45'nonZero_1912 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> (AgdaAny -> T_Irrelevant_20) -> AgdaAny -> AgdaAny #

du_'42''45'cancel'691''45'nonZero_1912 :: (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCancellativeCommutativeSemiring_1798 -> AgdaAny -> AgdaAny -> AgdaAny -> (AgdaAny -> T_Irrelevant_20) -> AgdaAny -> AgdaAny #

d_IsIdempotentSemiring_1922 :: p -> p -> p -> p -> p -> p -> p -> p -> () #

data T_IsIdempotentSemiring_1922 #

Constructors

C_IsIdempotentSemiring'46'constructor_60011 T_IsSemiring_1570 (AgdaAny -> AgdaAny)

d_isSemiring_1936 :: T_IsIdempotentSemiring_1922 -> T_IsSemiring_1570 #

d_'43''45'idem_1938 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny #

d_'42''45'assoc_1942 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'cong_1944 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_1946 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_1946 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_1948 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_1948 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'identity_1950 :: T_IsIdempotentSemiring_1922 -> T_Σ_14 #

d_identity'691'_1952 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny #

du_identity'691'_1952 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny #

d_identity'737'_1954 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny #

du_identity'737'_1954 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny #

d_'42''45'isMagma_1956 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> T_IsMagma_176 #

du_'42''45'isMagma_1956 :: T_IsIdempotentSemiring_1922 -> T_IsMagma_176 #

d_'42''45'isMonoid_1958 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> T_IsMonoid_686 #

du_'42''45'isMonoid_1958 :: T_IsIdempotentSemiring_1922 -> T_IsMonoid_686 #

d_'42''45'isSemigroup_1960 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> T_IsSemigroup_472 #

du_'42''45'isSemigroup_1960 :: T_IsIdempotentSemiring_1922 -> T_IsSemigroup_472 #

d_assoc_1962 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_comm_1964 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_1966 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_1968 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_1968 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_1970 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_1970 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_1972 :: T_IsIdempotentSemiring_1922 -> T_Σ_14 #

d_identity'691'_1974 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny #

du_identity'691'_1974 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny #

d_identity'737'_1976 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny #

du_identity'737'_1976 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny #

d_isCommutativeMagma_1978 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_1978 :: T_IsIdempotentSemiring_1922 -> T_IsCommutativeMagma_212 #

d_'43''45'isCommutativeMonoid_1980 :: T_IsIdempotentSemiring_1922 -> T_IsCommutativeMonoid_736 #

d_isCommutativeSemigroup_1982 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> T_IsCommutativeSemigroup_548 #

du_isCommutativeSemigroup_1982 :: T_IsIdempotentSemiring_1922 -> T_IsCommutativeSemigroup_548 #

d_isMagma_1984 :: T_IsIdempotentSemiring_1922 -> T_IsMagma_176 #

d_isMonoid_1986 :: T_IsIdempotentSemiring_1922 -> T_IsMonoid_686 #

d_isSemigroup_1988 :: T_IsIdempotentSemiring_1922 -> T_IsSemigroup_472 #

d_isUnitalMagma_1990 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_1990 :: T_IsIdempotentSemiring_1922 -> T_IsUnitalMagma_642 #

d_distrib_1992 :: T_IsIdempotentSemiring_1922 -> T_Σ_14 #

d_distrib'691'_1994 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'691'_1994 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_distrib'737'_1996 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'737'_1996 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isEquivalence_1998 :: T_IsIdempotentSemiring_1922 -> T_IsEquivalence_26 #

d_isNearSemiring_2000 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> T_IsNearSemiring_1218 #

du_isNearSemiring_2000 :: T_IsIdempotentSemiring_1922 -> T_IsNearSemiring_1218 #

d_isPartialEquivalence_2002 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_2002 :: T_IsIdempotentSemiring_1922 -> T_IsPartialEquivalence_16 #

d_isSemiringWithoutAnnihilatingZero_2004 :: T_IsIdempotentSemiring_1922 -> T_IsSemiringWithoutAnnihilatingZero_1468 #

d_isSemiringWithoutOne_2006 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> T_IsSemiringWithoutOne_1298 #

du_isSemiringWithoutOne_2006 :: T_IsIdempotentSemiring_1922 -> T_IsSemiringWithoutOne_1298 #

d_refl_2008 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny #

d_reflexive_2010 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_2010 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_2012 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> T_Setoid_44 #

du_setoid_2012 :: T_IsIdempotentSemiring_1922 -> T_Setoid_44 #

d_sym_2014 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_2016 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_zero_2018 :: T_IsIdempotentSemiring_1922 -> T_Σ_14 #

d_zero'691'_2020 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny #

du_zero'691'_2020 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny #

d_zero'737'_2022 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny #

du_zero'737'_2022 :: T_IsIdempotentSemiring_1922 -> AgdaAny -> AgdaAny #

d_'43''45'isIdempotentCommutativeMonoid_2024 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> T_IsIdempotentCommutativeMonoid_852 #

du_'43''45'isIdempotentCommutativeMonoid_2024 :: T_IsIdempotentSemiring_1922 -> T_IsIdempotentCommutativeMonoid_852 #

d_isBand_2028 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> T_IsBand_508 #

du_isBand_2028 :: T_IsIdempotentSemiring_1922 -> T_IsBand_508 #

d_isCommutativeBand_2030 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> T_IsCommutativeBand_590 #

du_isCommutativeBand_2030 :: T_IsIdempotentSemiring_1922 -> T_IsCommutativeBand_590 #

d_isIdempotentMonoid_2032 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsIdempotentSemiring_1922 -> T_IsIdempotentMonoid_796 #

du_isIdempotentMonoid_2032 :: T_IsIdempotentSemiring_1922 -> T_IsIdempotentMonoid_796 #

d_IsKleeneAlgebra_2044 :: p -> p -> p -> p -> p -> p -> p -> p -> p -> () #

data T_IsKleeneAlgebra_2044 #

Constructors

C_IsKleeneAlgebra'46'constructor_63875 T_IsIdempotentSemiring_1922 T_Σ_14 T_Σ_14

d_isIdempotentSemiring_2062 :: T_IsKleeneAlgebra_2044 -> T_IsIdempotentSemiring_1922 #

d_starExpansive_2064 :: T_IsKleeneAlgebra_2044 -> T_Σ_14 #

d_starDestructive_2066 :: T_IsKleeneAlgebra_2044 -> T_Σ_14 #

d_'42''45'assoc_2070 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'cong_2072 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_2074 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_2074 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_2076 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_2076 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'identity_2078 :: T_IsKleeneAlgebra_2044 -> T_Σ_14 #

d_identity'691'_2080 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

du_identity'691'_2080 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

d_identity'737'_2082 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

du_identity'737'_2082 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

d_'42''45'isMagma_2084 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> T_IsMagma_176 #

du_'42''45'isMagma_2084 :: T_IsKleeneAlgebra_2044 -> T_IsMagma_176 #

d_'42''45'isMonoid_2086 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> T_IsMonoid_686 #

du_'42''45'isMonoid_2086 :: T_IsKleeneAlgebra_2044 -> T_IsMonoid_686 #

d_'42''45'isSemigroup_2088 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> T_IsSemigroup_472 #

du_'42''45'isSemigroup_2088 :: T_IsKleeneAlgebra_2044 -> T_IsSemigroup_472 #

d_assoc_2090 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_comm_2092 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_2094 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_2096 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_2096 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_2098 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_2098 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'43''45'idem_2100 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

d_identity_2102 :: T_IsKleeneAlgebra_2044 -> T_Σ_14 #

d_identity'691'_2104 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

du_identity'691'_2104 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

d_identity'737'_2106 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

du_identity'737'_2106 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

d_isBand_2108 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> T_IsBand_508 #

du_isBand_2108 :: T_IsKleeneAlgebra_2044 -> T_IsBand_508 #

d_isCommutativeBand_2110 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> T_IsCommutativeBand_590 #

du_isCommutativeBand_2110 :: T_IsKleeneAlgebra_2044 -> T_IsCommutativeBand_590 #

d_isCommutativeMagma_2112 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_2112 :: T_IsKleeneAlgebra_2044 -> T_IsCommutativeMagma_212 #

d_'43''45'isCommutativeMonoid_2114 :: T_IsKleeneAlgebra_2044 -> T_IsCommutativeMonoid_736 #

d_isCommutativeSemigroup_2116 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> T_IsCommutativeSemigroup_548 #

du_isCommutativeSemigroup_2116 :: T_IsKleeneAlgebra_2044 -> T_IsCommutativeSemigroup_548 #

d_'43''45'isIdempotentCommutativeMonoid_2118 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> T_IsIdempotentCommutativeMonoid_852 #

du_'43''45'isIdempotentCommutativeMonoid_2118 :: T_IsKleeneAlgebra_2044 -> T_IsIdempotentCommutativeMonoid_852 #

d_isIdempotentMonoid_2120 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> T_IsIdempotentMonoid_796 #

du_isIdempotentMonoid_2120 :: T_IsKleeneAlgebra_2044 -> T_IsIdempotentMonoid_796 #

d_isMagma_2122 :: T_IsKleeneAlgebra_2044 -> T_IsMagma_176 #

d_isMonoid_2124 :: T_IsKleeneAlgebra_2044 -> T_IsMonoid_686 #

d_isSemigroup_2126 :: T_IsKleeneAlgebra_2044 -> T_IsSemigroup_472 #

d_isUnitalMagma_2128 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_2128 :: T_IsKleeneAlgebra_2044 -> T_IsUnitalMagma_642 #

d_distrib_2130 :: T_IsKleeneAlgebra_2044 -> T_Σ_14 #

d_distrib'691'_2132 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'691'_2132 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_distrib'737'_2134 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'737'_2134 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isEquivalence_2136 :: T_IsKleeneAlgebra_2044 -> T_IsEquivalence_26 #

d_isNearSemiring_2138 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> T_IsNearSemiring_1218 #

du_isNearSemiring_2138 :: T_IsKleeneAlgebra_2044 -> T_IsNearSemiring_1218 #

d_isPartialEquivalence_2140 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_2140 :: T_IsKleeneAlgebra_2044 -> T_IsPartialEquivalence_16 #

d_isSemiring_2142 :: T_IsKleeneAlgebra_2044 -> T_IsSemiring_1570 #

d_isSemiringWithoutAnnihilatingZero_2144 :: T_IsKleeneAlgebra_2044 -> T_IsSemiringWithoutAnnihilatingZero_1468 #

d_isSemiringWithoutOne_2146 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> T_IsSemiringWithoutOne_1298 #

du_isSemiringWithoutOne_2146 :: T_IsKleeneAlgebra_2044 -> T_IsSemiringWithoutOne_1298 #

d_refl_2148 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

d_reflexive_2150 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_2150 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_2152 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> T_Setoid_44 #

du_setoid_2152 :: T_IsKleeneAlgebra_2044 -> T_Setoid_44 #

d_sym_2154 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_2156 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_zero_2158 :: T_IsKleeneAlgebra_2044 -> T_Σ_14 #

d_zero'691'_2160 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

du_zero'691'_2160 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

d_zero'737'_2162 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

du_zero'737'_2162 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

d_starExpansive'737'_2164 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

du_starExpansive'737'_2164 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

d_starExpansive'691'_2166 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

du_starExpansive'691'_2166 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny #

d_starDestructive'737'_2168 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_starDestructive'737'_2168 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_starDestructive'691'_2170 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_starDestructive'691'_2170 :: T_IsKleeneAlgebra_2044 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsQuasiring_2180 :: p -> p -> p -> p -> p -> p -> p -> p -> () #

data T_IsQuasiring_2180 #

Constructors

C_IsQuasiring'46'constructor_69993 T_IsMonoid_686 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) T_Σ_14 T_Σ_14 T_Σ_14

d_'43''45'isMonoid_2202 :: T_IsQuasiring_2180 -> T_IsMonoid_686 #

d_'42''45'cong_2204 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'assoc_2206 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'identity_2208 :: T_IsQuasiring_2180 -> T_Σ_14 #

d_distrib_2210 :: T_IsQuasiring_2180 -> T_Σ_14 #

d_zero_2212 :: T_IsQuasiring_2180 -> T_Σ_14 #

d_assoc_2216 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_2218 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_2220 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_2220 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_2222 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_2222 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_2224 :: T_IsQuasiring_2180 -> T_Σ_14 #

d_identity'691'_2226 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> AgdaAny -> AgdaAny #

du_identity'691'_2226 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny #

d_identity'737'_2228 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> AgdaAny -> AgdaAny #

du_identity'737'_2228 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny #

d_isMagma_2230 :: T_IsQuasiring_2180 -> T_IsMagma_176 #

d_isSemigroup_2232 :: T_IsQuasiring_2180 -> T_IsSemigroup_472 #

d_isUnitalMagma_2234 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_2234 :: T_IsQuasiring_2180 -> T_IsUnitalMagma_642 #

d_isEquivalence_2236 :: T_IsQuasiring_2180 -> T_IsEquivalence_26 #

d_isPartialEquivalence_2238 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_2238 :: T_IsQuasiring_2180 -> T_IsPartialEquivalence_16 #

d_refl_2240 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny #

d_reflexive_2242 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_2242 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_2244 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> T_Setoid_44 #

du_setoid_2244 :: T_IsQuasiring_2180 -> T_Setoid_44 #

d_sym_2246 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_2248 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_distrib'737'_2250 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'737'_2250 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_distrib'691'_2252 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'691'_2252 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_zero'737'_2254 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> AgdaAny -> AgdaAny #

du_zero'737'_2254 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny #

d_zero'691'_2256 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> AgdaAny -> AgdaAny #

du_zero'691'_2256 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny #

d_identity'737'_2258 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> AgdaAny -> AgdaAny #

du_identity'737'_2258 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny #

d_identity'691'_2260 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> AgdaAny -> AgdaAny #

du_identity'691'_2260 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny #

d_'42''45'isMagma_2262 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> T_IsMagma_176 #

du_'42''45'isMagma_2262 :: T_IsQuasiring_2180 -> T_IsMagma_176 #

d_'42''45'isSemigroup_2264 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> T_IsSemigroup_472 #

du_'42''45'isSemigroup_2264 :: T_IsQuasiring_2180 -> T_IsSemigroup_472 #

d_'42''45'isMonoid_2266 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> T_IsMonoid_686 #

du_'42''45'isMonoid_2266 :: T_IsQuasiring_2180 -> T_IsMonoid_686 #

d_'8729''45'cong'691'_2270 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_2270 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_2272 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_2272 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity'691'_2274 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> AgdaAny -> AgdaAny #

du_identity'691'_2274 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny #

d_identity'737'_2276 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsQuasiring_2180 -> AgdaAny -> AgdaAny #

du_identity'737'_2276 :: T_IsQuasiring_2180 -> AgdaAny -> AgdaAny #

d_IsRingWithoutOne_2286 :: p -> p -> p -> p -> p -> p -> p -> p -> () #

data T_IsRingWithoutOne_2286 #

Constructors

C_IsRingWithoutOne'46'constructor_75855 T_IsAbelianGroup_1132 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) T_Σ_14

d_'43''45'isAbelianGroup_2304 :: T_IsRingWithoutOne_2286 -> T_IsAbelianGroup_1132 #

d_'42''45'cong_2306 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'assoc_2308 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_distrib_2310 :: T_IsRingWithoutOne_2286 -> T_Σ_14 #

d__'47''47'__2314 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny #

du__'47''47'__2314 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny #

d_assoc_2316 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_comm_2318 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_2320 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_2322 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_2322 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_2324 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_2324 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_2326 :: T_IsRingWithoutOne_2286 -> T_Σ_14 #

d_identity'691'_2328 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny #

du_identity'691'_2328 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny #

d_identity'737'_2330 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny #

du_identity'737'_2330 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny #

d_isCommutativeMagma_2332 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_2332 :: T_IsRingWithoutOne_2286 -> T_IsCommutativeMagma_212 #

d_isCommutativeMonoid_2334 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> T_IsCommutativeMonoid_736 #

du_isCommutativeMonoid_2334 :: T_IsRingWithoutOne_2286 -> T_IsCommutativeMonoid_736 #

d_isCommutativeSemigroup_2336 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> T_IsCommutativeSemigroup_548 #

du_isCommutativeSemigroup_2336 :: T_IsRingWithoutOne_2286 -> T_IsCommutativeSemigroup_548 #

d_isGroup_2338 :: T_IsRingWithoutOne_2286 -> T_IsGroup_1036 #

d_isInvertibleMagma_2340 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> T_IsInvertibleMagma_924 #

du_isInvertibleMagma_2340 :: T_IsRingWithoutOne_2286 -> T_IsInvertibleMagma_924 #

d_isInvertibleUnitalMagma_2342 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> T_IsInvertibleUnitalMagma_976 #

du_isInvertibleUnitalMagma_2342 :: T_IsRingWithoutOne_2286 -> T_IsInvertibleUnitalMagma_976 #

d_isMagma_2344 :: T_IsRingWithoutOne_2286 -> T_IsMagma_176 #

d_isMonoid_2346 :: T_IsRingWithoutOne_2286 -> T_IsMonoid_686 #

d_isSemigroup_2348 :: T_IsRingWithoutOne_2286 -> T_IsSemigroup_472 #

d_isUnitalMagma_2350 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_2350 :: T_IsRingWithoutOne_2286 -> T_IsUnitalMagma_642 #

d_'8315''185''45'cong_2352 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_inverse_2354 :: T_IsRingWithoutOne_2286 -> T_Σ_14 #

d_inverse'691'_2356 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny #

du_inverse'691'_2356 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny #

d_inverse'737'_2358 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny #

du_inverse'737'_2358 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny #

d_isEquivalence_2360 :: T_IsRingWithoutOne_2286 -> T_IsEquivalence_26 #

d_isPartialEquivalence_2362 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_2362 :: T_IsRingWithoutOne_2286 -> T_IsPartialEquivalence_16 #

d_refl_2364 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny #

d_reflexive_2366 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_2366 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_2368 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> T_Setoid_44 #

du_setoid_2368 :: T_IsRingWithoutOne_2286 -> T_Setoid_44 #

d_sym_2370 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_2372 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_unique'691''45''8315''185'_2374 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_unique'691''45''8315''185'_2374 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_unique'737''45''8315''185'_2376 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_unique'737''45''8315''185'_2376 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_distrib'737'_2378 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'737'_2378 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_distrib'691'_2380 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'691'_2380 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_zero'737'_2382 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny #

du_zero'737'_2382 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny #

d_zero'691'_2384 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny #

du_zero'691'_2384 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny #

d_zero_2386 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> T_Σ_14 #

du_zero_2386 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> T_Σ_14 #

d_'42''45'isMagma_2388 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> T_IsMagma_176 #

du_'42''45'isMagma_2388 :: T_IsRingWithoutOne_2286 -> T_IsMagma_176 #

d_'42''45'isSemigroup_2390 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> T_IsSemigroup_472 #

du_'42''45'isSemigroup_2390 :: T_IsRingWithoutOne_2286 -> T_IsSemigroup_472 #

d_'8729''45'cong'691'_2394 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_2394 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_2396 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_2396 :: T_IsRingWithoutOne_2286 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsNonAssociativeRing_2408 :: p -> p -> p -> p -> p -> p -> p -> p -> p -> () #

data T_IsNonAssociativeRing_2408 #

Constructors

C_IsNonAssociativeRing'46'constructor_83447 T_IsAbelianGroup_1132 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) T_Σ_14 T_Σ_14 T_Σ_14

d_'43''45'isAbelianGroup_2430 :: T_IsNonAssociativeRing_2408 -> T_IsAbelianGroup_1132 #

d_'42''45'cong_2432 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'identity_2434 :: T_IsNonAssociativeRing_2408 -> T_Σ_14 #

d_distrib_2436 :: T_IsNonAssociativeRing_2408 -> T_Σ_14 #

d_zero_2438 :: T_IsNonAssociativeRing_2408 -> T_Σ_14 #

d__'47''47'__2442 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny #

du__'47''47'__2442 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny #

d_assoc_2444 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_comm_2446 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_2448 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_2450 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_2450 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_2452 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_2452 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_2454 :: T_IsNonAssociativeRing_2408 -> T_Σ_14 #

d_identity'691'_2456 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny #

du_identity'691'_2456 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny #

d_identity'737'_2458 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny #

du_identity'737'_2458 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny #

d_isCommutativeMagma_2460 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_2460 :: T_IsNonAssociativeRing_2408 -> T_IsCommutativeMagma_212 #

d_isCommutativeMonoid_2462 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> T_IsCommutativeMonoid_736 #

du_isCommutativeMonoid_2462 :: T_IsNonAssociativeRing_2408 -> T_IsCommutativeMonoid_736 #

d_isCommutativeSemigroup_2464 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> T_IsCommutativeSemigroup_548 #

du_isCommutativeSemigroup_2464 :: T_IsNonAssociativeRing_2408 -> T_IsCommutativeSemigroup_548 #

d_isGroup_2466 :: T_IsNonAssociativeRing_2408 -> T_IsGroup_1036 #

d_isInvertibleMagma_2468 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> T_IsInvertibleMagma_924 #

du_isInvertibleMagma_2468 :: T_IsNonAssociativeRing_2408 -> T_IsInvertibleMagma_924 #

d_isInvertibleUnitalMagma_2470 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> T_IsInvertibleUnitalMagma_976 #

du_isInvertibleUnitalMagma_2470 :: T_IsNonAssociativeRing_2408 -> T_IsInvertibleUnitalMagma_976 #

d_isMagma_2472 :: T_IsNonAssociativeRing_2408 -> T_IsMagma_176 #

d_isMonoid_2474 :: T_IsNonAssociativeRing_2408 -> T_IsMonoid_686 #

d_isSemigroup_2476 :: T_IsNonAssociativeRing_2408 -> T_IsSemigroup_472 #

d_isUnitalMagma_2478 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_2478 :: T_IsNonAssociativeRing_2408 -> T_IsUnitalMagma_642 #

d_'8315''185''45'cong_2480 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_inverse_2482 :: T_IsNonAssociativeRing_2408 -> T_Σ_14 #

d_inverse'691'_2484 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny #

du_inverse'691'_2484 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny #

d_inverse'737'_2486 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny #

du_inverse'737'_2486 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny #

d_isEquivalence_2488 :: T_IsNonAssociativeRing_2408 -> T_IsEquivalence_26 #

d_isPartialEquivalence_2490 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_2490 :: T_IsNonAssociativeRing_2408 -> T_IsPartialEquivalence_16 #

d_refl_2492 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny #

d_reflexive_2494 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_2494 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_2496 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> T_Setoid_44 #

du_setoid_2496 :: T_IsNonAssociativeRing_2408 -> T_Setoid_44 #

d_sym_2498 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_2500 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_unique'691''45''8315''185'_2502 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_unique'691''45''8315''185'_2502 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_unique'737''45''8315''185'_2504 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_unique'737''45''8315''185'_2504 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_zero'737'_2506 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny #

du_zero'737'_2506 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny #

d_zero'691'_2508 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny #

du_zero'691'_2508 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny #

d_distrib'737'_2510 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'737'_2510 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_distrib'691'_2512 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'691'_2512 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'isMagma_2514 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> T_IsMagma_176 #

du_'42''45'isMagma_2514 :: T_IsNonAssociativeRing_2408 -> T_IsMagma_176 #

d_'42''45'identity'737'_2516 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny #

du_'42''45'identity'737'_2516 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny #

d_'42''45'identity'691'_2518 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny #

du_'42''45'identity'691'_2518 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny #

d_'42''45'isUnitalMagma_2520 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> T_IsUnitalMagma_642 #

du_'42''45'isUnitalMagma_2520 :: T_IsNonAssociativeRing_2408 -> T_IsUnitalMagma_642 #

d_'8729''45'cong'691'_2524 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_2524 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_2526 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_2526 :: T_IsNonAssociativeRing_2408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsNearring_2538 :: p -> p -> p -> p -> p -> p -> p -> p -> p -> () #

data T_IsNearring_2538 #

Constructors

C_IsNearring'46'constructor_90609 T_IsQuasiring_2180 T_Σ_14 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)

d_isQuasiring_2556 :: T_IsNearring_2538 -> T_IsQuasiring_2180 #

d_'43''45'inverse_2558 :: T_IsNearring_2538 -> T_Σ_14 #

d_'8315''185''45'cong_2560 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'assoc_2564 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'cong_2566 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_2568 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_2568 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_2570 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_2570 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'identity_2572 :: T_IsNearring_2538 -> T_Σ_14 #

d_identity'691'_2574 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> AgdaAny -> AgdaAny #

du_identity'691'_2574 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny #

d_identity'737'_2576 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> AgdaAny -> AgdaAny #

du_identity'737'_2576 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny #

d_'42''45'isMagma_2578 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> T_IsMagma_176 #

du_'42''45'isMagma_2578 :: T_IsNearring_2538 -> T_IsMagma_176 #

d_'42''45'isMonoid_2580 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> T_IsMonoid_686 #

du_'42''45'isMonoid_2580 :: T_IsNearring_2538 -> T_IsMonoid_686 #

d_'42''45'isSemigroup_2582 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> T_IsSemigroup_472 #

du_'42''45'isSemigroup_2582 :: T_IsNearring_2538 -> T_IsSemigroup_472 #

d_assoc_2584 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_2586 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_2588 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_2588 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_2590 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_2590 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_2592 :: T_IsNearring_2538 -> T_Σ_14 #

d_identity'691'_2594 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> AgdaAny -> AgdaAny #

du_identity'691'_2594 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny #

d_identity'737'_2596 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> AgdaAny -> AgdaAny #

du_identity'737'_2596 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny #

d_isMagma_2598 :: T_IsNearring_2538 -> T_IsMagma_176 #

d_'43''45'isMonoid_2600 :: T_IsNearring_2538 -> T_IsMonoid_686 #

d_isSemigroup_2602 :: T_IsNearring_2538 -> T_IsSemigroup_472 #

d_isUnitalMagma_2604 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_2604 :: T_IsNearring_2538 -> T_IsUnitalMagma_642 #

d_distrib_2606 :: T_IsNearring_2538 -> T_Σ_14 #

d_distrib'691'_2608 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'691'_2608 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_distrib'737'_2610 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'737'_2610 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity'691'_2612 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> AgdaAny -> AgdaAny #

du_identity'691'_2612 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny #

d_identity'737'_2614 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> AgdaAny -> AgdaAny #

du_identity'737'_2614 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny #

d_isEquivalence_2616 :: T_IsNearring_2538 -> T_IsEquivalence_26 #

d_isPartialEquivalence_2618 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_2618 :: T_IsNearring_2538 -> T_IsPartialEquivalence_16 #

d_refl_2620 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny #

d_reflexive_2622 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_2622 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_2624 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> T_Setoid_44 #

du_setoid_2624 :: T_IsNearring_2538 -> T_Setoid_44 #

d_sym_2626 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_2628 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_zero_2630 :: T_IsNearring_2538 -> T_Σ_14 #

d_zero'691'_2632 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> AgdaAny -> AgdaAny #

du_zero'691'_2632 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny #

d_zero'737'_2634 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> AgdaAny -> AgdaAny #

du_zero'737'_2634 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny #

d_'43''45'inverse'737'_2636 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> AgdaAny -> AgdaAny #

du_'43''45'inverse'737'_2636 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny #

d_'43''45'inverse'691'_2638 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_IsNearring_2538 -> AgdaAny -> AgdaAny #

du_'43''45'inverse'691'_2638 :: T_IsNearring_2538 -> AgdaAny -> AgdaAny #

d_IsRing_2650 :: p -> p -> p -> p -> p -> p -> p -> p -> p -> () #

data T_IsRing_2650 #

Constructors

C_IsRing'46'constructor_95033 T_IsAbelianGroup_1132 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) T_Σ_14 T_Σ_14

d_'43''45'isAbelianGroup_2672 :: T_IsRing_2650 -> T_IsAbelianGroup_1132 #

d_'42''45'cong_2674 :: T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'assoc_2676 :: T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'identity_2678 :: T_IsRing_2650 -> T_Σ_14 #

d_distrib_2680 :: T_IsRing_2650 -> T_Σ_14 #

d_isRingWithoutOne_2682 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsRingWithoutOne_2286 #

du_isRingWithoutOne_2682 :: T_IsRing_2650 -> T_IsRingWithoutOne_2286 #

d__'47''47'__2686 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny #

du__'47''47'__2686 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_2688 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_2688 :: T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_2690 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_2690 :: T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'isMagma_2692 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsMagma_176 #

du_'42''45'isMagma_2692 :: T_IsRing_2650 -> T_IsMagma_176 #

d_'42''45'isSemigroup_2694 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsSemigroup_472 #

du_'42''45'isSemigroup_2694 :: T_IsRing_2650 -> T_IsSemigroup_472 #

d_assoc_2696 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_assoc_2696 :: T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_comm_2698 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny #

du_comm_2698 :: T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_2700 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong_2700 :: T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_2702 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_2702 :: T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_2704 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_2704 :: T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_2706 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_Σ_14 #

du_identity_2706 :: T_IsRing_2650 -> T_Σ_14 #

d_identity'691'_2708 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny #

du_identity'691'_2708 :: T_IsRing_2650 -> AgdaAny -> AgdaAny #

d_identity'737'_2710 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny #

du_identity'737'_2710 :: T_IsRing_2650 -> AgdaAny -> AgdaAny #

d_isCommutativeMagma_2712 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_2712 :: T_IsRing_2650 -> T_IsCommutativeMagma_212 #

d_isCommutativeMonoid_2714 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsCommutativeMonoid_736 #

du_isCommutativeMonoid_2714 :: T_IsRing_2650 -> T_IsCommutativeMonoid_736 #

d_isCommutativeSemigroup_2716 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsCommutativeSemigroup_548 #

du_isCommutativeSemigroup_2716 :: T_IsRing_2650 -> T_IsCommutativeSemigroup_548 #

d_isGroup_2718 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsGroup_1036 #

du_isGroup_2718 :: T_IsRing_2650 -> T_IsGroup_1036 #

d_isInvertibleMagma_2720 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsInvertibleMagma_924 #

du_isInvertibleMagma_2720 :: T_IsRing_2650 -> T_IsInvertibleMagma_924 #

d_isInvertibleUnitalMagma_2722 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsInvertibleUnitalMagma_976 #

du_isInvertibleUnitalMagma_2722 :: T_IsRing_2650 -> T_IsInvertibleUnitalMagma_976 #

d_isMagma_2724 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsMagma_176 #

du_isMagma_2724 :: T_IsRing_2650 -> T_IsMagma_176 #

d_isMonoid_2726 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsMonoid_686 #

du_isMonoid_2726 :: T_IsRing_2650 -> T_IsMonoid_686 #

d_isSemigroup_2728 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsSemigroup_472 #

du_isSemigroup_2728 :: T_IsRing_2650 -> T_IsSemigroup_472 #

d_isUnitalMagma_2730 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_2730 :: T_IsRing_2650 -> T_IsUnitalMagma_642 #

d_'8315''185''45'cong_2732 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8315''185''45'cong_2732 :: T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_inverse_2734 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_Σ_14 #

du_inverse_2734 :: T_IsRing_2650 -> T_Σ_14 #

d_inverse'691'_2736 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny #

du_inverse'691'_2736 :: T_IsRing_2650 -> AgdaAny -> AgdaAny #

d_inverse'737'_2738 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny #

du_inverse'737'_2738 :: T_IsRing_2650 -> AgdaAny -> AgdaAny #

d_distrib'691'_2740 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'691'_2740 :: T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_distrib'737'_2742 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'737'_2742 :: T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isEquivalence_2744 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsEquivalence_26 #

du_isEquivalence_2744 :: T_IsRing_2650 -> T_IsEquivalence_26 #

d_isPartialEquivalence_2746 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_2746 :: T_IsRing_2650 -> T_IsPartialEquivalence_16 #

d_refl_2748 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny #

du_refl_2748 :: T_IsRing_2650 -> AgdaAny -> AgdaAny #

d_reflexive_2750 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_2750 :: T_IsRing_2650 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_2752 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_Setoid_44 #

du_setoid_2752 :: T_IsRing_2650 -> T_Setoid_44 #

d_sym_2754 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_sym_2754 :: T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_2756 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_trans_2756 :: T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_unique'691''45''8315''185'_2758 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_unique'691''45''8315''185'_2758 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_unique'737''45''8315''185'_2760 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_unique'737''45''8315''185'_2760 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_zero_2762 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_Σ_14 #

du_zero_2762 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRing_2650 -> T_Σ_14 #

d_zero'691'_2764 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny #

du_zero'691'_2764 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny #

d_zero'737'_2766 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny #

du_zero'737'_2766 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny #

d_'42''45'isMonoid_2768 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsMonoid_686 #

du_'42''45'isMonoid_2768 :: T_IsRing_2650 -> T_IsMonoid_686 #

d_identity'691'_2772 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny #

du_identity'691'_2772 :: T_IsRing_2650 -> AgdaAny -> AgdaAny #

d_identity'737'_2774 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> AgdaAny -> AgdaAny #

du_identity'737'_2774 :: T_IsRing_2650 -> AgdaAny -> AgdaAny #

d_isSemiringWithoutAnnihilatingZero_2776 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsSemiringWithoutAnnihilatingZero_1468 #

du_isSemiringWithoutAnnihilatingZero_2776 :: T_IsRing_2650 -> T_IsSemiringWithoutAnnihilatingZero_1468 #

d_isSemiring_2778 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsSemiring_1570 #

du_isSemiring_2778 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRing_2650 -> T_IsSemiring_1570 #

d_isNearSemiring_2782 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsNearSemiring_1218 #

du_isNearSemiring_2782 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRing_2650 -> T_IsNearSemiring_1218 #

d_isSemiringWithoutOne_2784 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsRing_2650 -> T_IsSemiringWithoutOne_1298 #

du_isSemiringWithoutOne_2784 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRing_2650 -> T_IsSemiringWithoutOne_1298 #

d_IsCommutativeRing_2796 :: p -> p -> p -> p -> p -> p -> p -> p -> p -> () #

data T_IsCommutativeRing_2796 #

Constructors

C_IsCommutativeRing'46'constructor_100945 T_IsRing_2650 (AgdaAny -> AgdaAny -> AgdaAny)

d_isRing_2812 :: T_IsCommutativeRing_2796 -> T_IsRing_2650 #

d_'42''45'comm_2814 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny #

d__'47''47'__2818 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny #

du__'47''47'__2818 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'assoc_2820 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'cong_2822 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_2824 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_2824 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_2826 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_2826 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'42''45'identity_2828 :: T_IsCommutativeRing_2796 -> T_Σ_14 #

d_identity'691'_2830 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

du_identity'691'_2830 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

d_identity'737'_2832 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

du_identity'737'_2832 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

d_'42''45'isMagma_2834 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsMagma_176 #

du_'42''45'isMagma_2834 :: T_IsCommutativeRing_2796 -> T_IsMagma_176 #

d_'42''45'isMonoid_2836 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsMonoid_686 #

du_'42''45'isMonoid_2836 :: T_IsCommutativeRing_2796 -> T_IsMonoid_686 #

d_'42''45'isSemigroup_2838 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsSemigroup_472 #

du_'42''45'isSemigroup_2838 :: T_IsCommutativeRing_2796 -> T_IsSemigroup_472 #

d_assoc_2840 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_assoc_2840 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_comm_2842 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny #

du_comm_2842 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_2844 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong_2844 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_2846 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_2846 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_2848 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_2848 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_2850 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_Σ_14 #

du_identity_2850 :: T_IsCommutativeRing_2796 -> T_Σ_14 #

d_identity'691'_2852 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

du_identity'691'_2852 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

d_identity'737'_2854 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

du_identity'737'_2854 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

d_'43''45'isAbelianGroup_2856 :: T_IsCommutativeRing_2796 -> T_IsAbelianGroup_1132 #

d_isCommutativeMagma_2858 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_2858 :: T_IsCommutativeRing_2796 -> T_IsCommutativeMagma_212 #

d_isCommutativeMonoid_2860 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsCommutativeMonoid_736 #

du_isCommutativeMonoid_2860 :: T_IsCommutativeRing_2796 -> T_IsCommutativeMonoid_736 #

d_isCommutativeSemigroup_2862 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsCommutativeSemigroup_548 #

du_isCommutativeSemigroup_2862 :: T_IsCommutativeRing_2796 -> T_IsCommutativeSemigroup_548 #

d_isGroup_2864 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsGroup_1036 #

du_isGroup_2864 :: T_IsCommutativeRing_2796 -> T_IsGroup_1036 #

d_isInvertibleMagma_2866 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsInvertibleMagma_924 #

du_isInvertibleMagma_2866 :: T_IsCommutativeRing_2796 -> T_IsInvertibleMagma_924 #

d_isInvertibleUnitalMagma_2868 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsInvertibleUnitalMagma_976 #

du_isInvertibleUnitalMagma_2868 :: T_IsCommutativeRing_2796 -> T_IsInvertibleUnitalMagma_976 #

d_isMagma_2870 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsMagma_176 #

du_isMagma_2870 :: T_IsCommutativeRing_2796 -> T_IsMagma_176 #

d_isMonoid_2872 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsMonoid_686 #

du_isMonoid_2872 :: T_IsCommutativeRing_2796 -> T_IsMonoid_686 #

d_isSemigroup_2874 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsSemigroup_472 #

du_isSemigroup_2874 :: T_IsCommutativeRing_2796 -> T_IsSemigroup_472 #

d_isUnitalMagma_2876 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsUnitalMagma_642 #

du_isUnitalMagma_2876 :: T_IsCommutativeRing_2796 -> T_IsUnitalMagma_642 #

d_'8315''185''45'cong_2878 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8315''185''45'cong_2878 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_inverse_2880 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_Σ_14 #

du_inverse_2880 :: T_IsCommutativeRing_2796 -> T_Σ_14 #

d_inverse'691'_2882 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

du_inverse'691'_2882 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

d_inverse'737'_2884 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

du_inverse'737'_2884 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

d_distrib_2886 :: T_IsCommutativeRing_2796 -> T_Σ_14 #

d_distrib'691'_2888 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'691'_2888 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_distrib'737'_2890 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_distrib'737'_2890 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isEquivalence_2892 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsEquivalence_26 #

du_isEquivalence_2892 :: T_IsCommutativeRing_2796 -> T_IsEquivalence_26 #

d_isNearSemiring_2894 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsNearSemiring_1218 #

du_isNearSemiring_2894 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsNearSemiring_1218 #

d_isPartialEquivalence_2896 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_2896 :: T_IsCommutativeRing_2796 -> T_IsPartialEquivalence_16 #

d_isRingWithoutOne_2898 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsRingWithoutOne_2286 #

du_isRingWithoutOne_2898 :: T_IsCommutativeRing_2796 -> T_IsRingWithoutOne_2286 #

d_isSemiring_2900 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsSemiring_1570 #

du_isSemiring_2900 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsSemiring_1570 #

d_isSemiringWithoutAnnihilatingZero_2902 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsSemiringWithoutAnnihilatingZero_1468 #

du_isSemiringWithoutAnnihilatingZero_2902 :: T_IsCommutativeRing_2796 -> T_IsSemiringWithoutAnnihilatingZero_1468 #

d_isSemiringWithoutOne_2904 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsSemiringWithoutOne_1298 #

du_isSemiringWithoutOne_2904 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsSemiringWithoutOne_1298 #

d_refl_2906 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

du_refl_2906 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

d_reflexive_2908 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_2908 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_2910 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_Setoid_44 #

du_setoid_2910 :: T_IsCommutativeRing_2796 -> T_Setoid_44 #

d_sym_2912 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_sym_2912 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_2914 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_trans_2914 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_unique'691''45''8315''185'_2916 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_unique'691''45''8315''185'_2916 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_unique'737''45''8315''185'_2918 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_unique'737''45''8315''185'_2918 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_zero_2920 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_Σ_14 #

du_zero_2920 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeRing_2796 -> T_Σ_14 #

d_zero'691'_2922 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

du_zero'691'_2922 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

d_zero'737'_2924 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

du_zero'737'_2924 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny #

d_isCommutativeSemiring_2926 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsCommutativeSemiring_1678 #

du_isCommutativeSemiring_2926 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsCommutativeSemiring_1678 #

d_isCommutativeMagma_2930 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsCommutativeMagma_212 #

du_isCommutativeMagma_2930 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsCommutativeMagma_212 #

d_'42''45'isCommutativeMonoid_2932 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsCommutativeMonoid_736 #

du_'42''45'isCommutativeMonoid_2932 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsCommutativeMonoid_736 #

d_'42''45'isCommutativeSemigroup_2934 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsCommutativeSemigroup_548 #

du_'42''45'isCommutativeSemigroup_2934 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsCommutativeSemigroup_548 #

d_isCommutativeSemiringWithoutOne_2936 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsCommutativeSemiringWithoutOne_1382 #

du_isCommutativeSemiringWithoutOne_2936 :: (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> T_IsCommutativeRing_2796 -> T_IsCommutativeSemiringWithoutOne_1382 #

d_IsQuasigroup_2944 :: p -> p -> p -> p -> p -> p -> p -> () #

data T_IsQuasigroup_2944 #

Constructors

C_IsQuasigroup'46'constructor_106057 T_IsMagma_176 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) T_Σ_14 T_Σ_14

d_isMagma_2962 :: T_IsQuasigroup_2944 -> T_IsMagma_176 #

d_'92''92''45'cong_2964 :: T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'47''47''45'cong_2966 :: T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_leftDivides_2968 :: T_IsQuasigroup_2944 -> T_Σ_14 #

d_rightDivides_2970 :: T_IsQuasigroup_2944 -> T_Σ_14 #

d_isEquivalence_2974 :: T_IsQuasigroup_2944 -> T_IsEquivalence_26 #

d_isPartialEquivalence_2976 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsQuasigroup_2944 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_2976 :: T_IsQuasigroup_2944 -> T_IsPartialEquivalence_16 #

d_refl_2978 :: T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny #

d_reflexive_2980 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_2980 :: T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_setoid_2982 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsQuasigroup_2944 -> T_Setoid_44 #

du_setoid_2982 :: T_IsQuasigroup_2944 -> T_Setoid_44 #

d_sym_2984 :: T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_2986 :: T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_2988 :: T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_2990 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_2990 :: T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_2992 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_2992 :: T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'92''92''45'cong'737'_2994 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'92''92''45'cong'737'_2994 :: T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'92''92''45'cong'691'_2998 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'92''92''45'cong'691'_2998 :: T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'47''47''45'cong'737'_3002 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'47''47''45'cong'737'_3002 :: T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'47''47''45'cong'691'_3006 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'47''47''45'cong'691'_3006 :: T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_leftDivides'737'_3010 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny #

du_leftDivides'737'_3010 :: T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny #

d_leftDivides'691'_3012 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny #

du_leftDivides'691'_3012 :: T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny #

d_rightDivides'737'_3014 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny #

du_rightDivides'737'_3014 :: T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny #

d_rightDivides'691'_3016 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny #

du_rightDivides'691'_3016 :: T_IsQuasigroup_2944 -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsLoop_3026 :: p -> p -> p -> p -> p -> p -> p -> p -> () #

data T_IsLoop_3026 #

Constructors

C_IsLoop'46'constructor_111285 T_IsQuasigroup_2944 T_Σ_14

d_isQuasigroup_3040 :: T_IsLoop_3026 -> T_IsQuasigroup_2944 #

d_identity_3042 :: T_IsLoop_3026 -> T_Σ_14 #

d_'47''47''45'cong_3046 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'47''47''45'cong'691'_3048 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'47''47''45'cong'691'_3048 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'47''47''45'cong'737'_3050 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'47''47''45'cong'737'_3050 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'92''92''45'cong_3052 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'92''92''45'cong'691'_3054 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'92''92''45'cong'691'_3054 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'92''92''45'cong'737'_3056 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'92''92''45'cong'737'_3056 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_isEquivalence_3058 :: T_IsLoop_3026 -> T_IsEquivalence_26 #

d_isMagma_3060 :: T_IsLoop_3026 -> T_IsMagma_176 #

d_isPartialEquivalence_3062 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLoop_3026 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_3062 :: T_IsLoop_3026 -> T_IsPartialEquivalence_16 #

d_leftDivides_3064 :: T_IsLoop_3026 -> T_Σ_14 #

d_leftDivides'691'_3066 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny #

du_leftDivides'691'_3066 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny #

d_leftDivides'737'_3068 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny #

du_leftDivides'737'_3068 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny #

d_refl_3070 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny #

d_reflexive_3072 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLoop_3026 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_3072 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_rightDivides_3074 :: T_IsLoop_3026 -> T_Σ_14 #

d_rightDivides'691'_3076 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny #

du_rightDivides'691'_3076 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny #

d_rightDivides'737'_3078 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny #

du_rightDivides'737'_3078 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny #

d_setoid_3080 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLoop_3026 -> T_Setoid_44 #

du_setoid_3080 :: T_IsLoop_3026 -> T_Setoid_44 #

d_sym_3082 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_3084 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_3086 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_3088 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_3088 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_3090 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_3090 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity'737'_3092 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLoop_3026 -> AgdaAny -> AgdaAny #

du_identity'737'_3092 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny #

d_identity'691'_3094 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLoop_3026 -> AgdaAny -> AgdaAny #

du_identity'691'_3094 :: T_IsLoop_3026 -> AgdaAny -> AgdaAny #

d_IsLeftBolLoop_3104 :: p -> p -> p -> p -> p -> p -> p -> p -> () #

data T_IsLeftBolLoop_3104 #

Constructors

C_IsLeftBolLoop'46'constructor_114283 T_IsLoop_3026 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)

d_isLoop_3118 :: T_IsLeftBolLoop_3104 -> T_IsLoop_3026 #

d_leftBol_3120 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'47''47''45'cong_3124 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'47''47''45'cong'691'_3126 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'47''47''45'cong'691'_3126 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'47''47''45'cong'737'_3128 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'47''47''45'cong'737'_3128 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'92''92''45'cong_3130 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'92''92''45'cong'691'_3132 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'92''92''45'cong'691'_3132 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'92''92''45'cong'737'_3134 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'92''92''45'cong'737'_3134 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_3136 :: T_IsLeftBolLoop_3104 -> T_Σ_14 #

d_identity'691'_3138 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny #

du_identity'691'_3138 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny #

d_identity'737'_3140 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny #

du_identity'737'_3140 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny #

d_isEquivalence_3142 :: T_IsLeftBolLoop_3104 -> T_IsEquivalence_26 #

d_isMagma_3144 :: T_IsLeftBolLoop_3104 -> T_IsMagma_176 #

d_isPartialEquivalence_3146 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLeftBolLoop_3104 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_3146 :: T_IsLeftBolLoop_3104 -> T_IsPartialEquivalence_16 #

d_isQuasigroup_3148 :: T_IsLeftBolLoop_3104 -> T_IsQuasigroup_2944 #

d_leftDivides_3150 :: T_IsLeftBolLoop_3104 -> T_Σ_14 #

d_leftDivides'691'_3152 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny #

du_leftDivides'691'_3152 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny #

d_leftDivides'737'_3154 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny #

du_leftDivides'737'_3154 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny #

d_refl_3156 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny #

d_reflexive_3158 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_3158 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_rightDivides_3160 :: T_IsLeftBolLoop_3104 -> T_Σ_14 #

d_rightDivides'691'_3162 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny #

du_rightDivides'691'_3162 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny #

d_rightDivides'737'_3164 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny #

du_rightDivides'737'_3164 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny #

d_setoid_3166 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLeftBolLoop_3104 -> T_Setoid_44 #

du_setoid_3166 :: T_IsLeftBolLoop_3104 -> T_Setoid_44 #

d_sym_3168 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_3170 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_3172 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_3174 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_3174 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_3176 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_3176 :: T_IsLeftBolLoop_3104 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsRightBolLoop_3186 :: p -> p -> p -> p -> p -> p -> p -> p -> () #

data T_IsRightBolLoop_3186 #

Constructors

C_IsRightBolLoop'46'constructor_116761 T_IsLoop_3026 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)

d_isLoop_3200 :: T_IsRightBolLoop_3186 -> T_IsLoop_3026 #

d_rightBol_3202 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'47''47''45'cong_3206 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'47''47''45'cong'691'_3208 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'47''47''45'cong'691'_3208 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'47''47''45'cong'737'_3210 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'47''47''45'cong'737'_3210 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'92''92''45'cong_3212 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'92''92''45'cong'691'_3214 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'92''92''45'cong'691'_3214 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'92''92''45'cong'737'_3216 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'92''92''45'cong'737'_3216 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_3218 :: T_IsRightBolLoop_3186 -> T_Σ_14 #

d_identity'691'_3220 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny #

du_identity'691'_3220 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny #

d_identity'737'_3222 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny #

du_identity'737'_3222 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny #

d_isEquivalence_3224 :: T_IsRightBolLoop_3186 -> T_IsEquivalence_26 #

d_isMagma_3226 :: T_IsRightBolLoop_3186 -> T_IsMagma_176 #

d_isPartialEquivalence_3228 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRightBolLoop_3186 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_3228 :: T_IsRightBolLoop_3186 -> T_IsPartialEquivalence_16 #

d_isQuasigroup_3230 :: T_IsRightBolLoop_3186 -> T_IsQuasigroup_2944 #

d_leftDivides_3232 :: T_IsRightBolLoop_3186 -> T_Σ_14 #

d_leftDivides'691'_3234 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny #

du_leftDivides'691'_3234 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny #

d_leftDivides'737'_3236 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny #

du_leftDivides'737'_3236 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny #

d_refl_3238 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny #

d_reflexive_3240 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_3240 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_rightDivides_3242 :: T_IsRightBolLoop_3186 -> T_Σ_14 #

d_rightDivides'691'_3244 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny #

du_rightDivides'691'_3244 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny #

d_rightDivides'737'_3246 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny #

du_rightDivides'737'_3246 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny #

d_setoid_3248 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRightBolLoop_3186 -> T_Setoid_44 #

du_setoid_3248 :: T_IsRightBolLoop_3186 -> T_Setoid_44 #

d_sym_3250 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_3252 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_3254 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_3256 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_3256 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_3258 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_3258 :: T_IsRightBolLoop_3186 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsMoufangLoop_3268 :: p -> p -> p -> p -> p -> p -> p -> p -> () #

data T_IsMoufangLoop_3268 #

Constructors

C_IsMoufangLoop'46'constructor_119263 T_IsLeftBolLoop_3104 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)

d_isLeftBolLoop_3284 :: T_IsMoufangLoop_3268 -> T_IsLeftBolLoop_3104 #

d_rightBol_3286 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identical_3288 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'47''47''45'cong_3292 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'47''47''45'cong'691'_3294 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'47''47''45'cong'691'_3294 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'47''47''45'cong'737'_3296 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'47''47''45'cong'737'_3296 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'92''92''45'cong_3298 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'92''92''45'cong'691'_3300 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'92''92''45'cong'691'_3300 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'92''92''45'cong'737'_3302 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'92''92''45'cong'737'_3302 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_3304 :: T_IsMoufangLoop_3268 -> T_Σ_14 #

d_identity'691'_3306 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny #

du_identity'691'_3306 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny #

d_identity'737'_3308 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny #

du_identity'737'_3308 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny #

d_isEquivalence_3310 :: T_IsMoufangLoop_3268 -> T_IsEquivalence_26 #

d_isLoop_3312 :: T_IsMoufangLoop_3268 -> T_IsLoop_3026 #

d_isMagma_3314 :: T_IsMoufangLoop_3268 -> T_IsMagma_176 #

d_isPartialEquivalence_3316 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMoufangLoop_3268 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_3316 :: T_IsMoufangLoop_3268 -> T_IsPartialEquivalence_16 #

d_isQuasigroup_3318 :: T_IsMoufangLoop_3268 -> T_IsQuasigroup_2944 #

d_leftBol_3320 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_leftDivides_3322 :: T_IsMoufangLoop_3268 -> T_Σ_14 #

d_leftDivides'691'_3324 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny #

du_leftDivides'691'_3324 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny #

d_leftDivides'737'_3326 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny #

du_leftDivides'737'_3326 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny #

d_refl_3328 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny #

d_reflexive_3330 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_3330 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_rightDivides_3332 :: T_IsMoufangLoop_3268 -> T_Σ_14 #

d_rightDivides'691'_3334 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny #

du_rightDivides'691'_3334 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny #

d_rightDivides'737'_3336 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny #

du_rightDivides'737'_3336 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny #

d_setoid_3338 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMoufangLoop_3268 -> T_Setoid_44 #

du_setoid_3338 :: T_IsMoufangLoop_3268 -> T_Setoid_44 #

d_sym_3340 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_3342 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_3344 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_3346 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_3346 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_3348 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_3348 :: T_IsMoufangLoop_3268 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_IsMiddleBolLoop_3358 :: p -> p -> p -> p -> p -> p -> p -> p -> () #

data T_IsMiddleBolLoop_3358 #

Constructors

C_IsMiddleBolLoop'46'constructor_121973 T_IsLoop_3026 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)

d_isLoop_3372 :: T_IsMiddleBolLoop_3358 -> T_IsLoop_3026 #

d_middleBol_3374 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'47''47''45'cong_3378 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'47''47''45'cong'691'_3380 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'47''47''45'cong'691'_3380 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'47''47''45'cong'737'_3382 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'47''47''45'cong'737'_3382 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'92''92''45'cong_3384 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'92''92''45'cong'691'_3386 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'92''92''45'cong'691'_3386 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'92''92''45'cong'737'_3388 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'92''92''45'cong'737'_3388 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_identity_3390 :: T_IsMiddleBolLoop_3358 -> T_Σ_14 #

d_identity'691'_3392 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny #

du_identity'691'_3392 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny #

d_identity'737'_3394 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny #

du_identity'737'_3394 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny #

d_isEquivalence_3396 :: T_IsMiddleBolLoop_3358 -> T_IsEquivalence_26 #

d_isMagma_3398 :: T_IsMiddleBolLoop_3358 -> T_IsMagma_176 #

d_isPartialEquivalence_3400 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMiddleBolLoop_3358 -> T_IsPartialEquivalence_16 #

du_isPartialEquivalence_3400 :: T_IsMiddleBolLoop_3358 -> T_IsPartialEquivalence_16 #

d_isQuasigroup_3402 :: T_IsMiddleBolLoop_3358 -> T_IsQuasigroup_2944 #

d_leftDivides_3404 :: T_IsMiddleBolLoop_3358 -> T_Σ_14 #

d_leftDivides'691'_3406 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny #

du_leftDivides'691'_3406 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny #

d_leftDivides'737'_3408 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny #

du_leftDivides'737'_3408 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny #

d_refl_3410 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny #

d_reflexive_3412 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

du_reflexive_3412 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #

d_rightDivides_3414 :: T_IsMiddleBolLoop_3358 -> T_Σ_14 #

d_rightDivides'691'_3416 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny #

du_rightDivides'691'_3416 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny #

d_rightDivides'737'_3418 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny #

du_rightDivides'737'_3418 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny #

d_setoid_3420 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMiddleBolLoop_3358 -> T_Setoid_44 #

du_setoid_3420 :: T_IsMiddleBolLoop_3358 -> T_Setoid_44 #

d_sym_3422 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_trans_3424 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong_3426 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'691'_3428 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'691'_3428 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

d_'8729''45'cong'737'_3430 :: T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #

du_'8729''45'cong'737'_3430 :: T_IsMiddleBolLoop_3358 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #