| Safe Haskell | Safe-Inferred |
|---|---|
| Language | Haskell2010 |
MAlonzo.Code.Function.Structures
Documentation
d_IsCongruent_22 :: p -> p -> p -> p -> p -> p -> p -> p -> p -> () #
data T_IsCongruent_22 #
Constructors
| C_IsCongruent'46'constructor_985 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) T_IsEquivalence_26 T_IsEquivalence_26 |
d_setoid_40 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> T_Setoid_44 #
d__'8776'__44 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> AgdaAny -> AgdaAny -> () #
d__'8777'__46 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> AgdaAny -> AgdaAny -> () #
d_Carrier_48 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> () #
d_isEquivalence_50 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> T_IsEquivalence_26 #
d_isPartialEquivalence_52 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> T_IsPartialEquivalence_16 #
d_partialSetoid_54 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> T_PartialSetoid_10 #
d_refl_56 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> AgdaAny -> AgdaAny #
du_refl_56 :: T_IsCongruent_22 -> AgdaAny -> AgdaAny #
d_reflexive_58 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_58 :: T_IsCongruent_22 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_sym_60 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_62 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_62 :: T_IsCongruent_22 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_setoid_66 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> T_Setoid_44 #
d__'8776'__70 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> AgdaAny -> AgdaAny -> () #
d__'8777'__72 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> AgdaAny -> AgdaAny -> () #
d_Carrier_74 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> () #
d_isEquivalence_76 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> T_IsEquivalence_26 #
d_isPartialEquivalence_78 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> T_IsPartialEquivalence_16 #
d_partialSetoid_80 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> T_PartialSetoid_10 #
d_refl_82 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> AgdaAny -> AgdaAny #
du_refl_82 :: T_IsCongruent_22 -> AgdaAny -> AgdaAny #
d_reflexive_84 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_84 :: T_IsCongruent_22 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_sym_86 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_88 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsCongruent_22 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_88 :: T_IsCongruent_22 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_IsInjection_92 :: p -> p -> p -> p -> p -> p -> p -> p -> p -> () #
data T_IsInjection_92 #
Constructors
| C_IsInjection'46'constructor_3997 T_IsCongruent_22 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) |
d_injective_102 :: T_IsInjection_92 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_cong_106 :: T_IsInjection_92 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__114 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> AgdaAny -> AgdaAny -> () #
d__'8777'__116 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> AgdaAny -> AgdaAny -> () #
d_Carrier_118 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> () #
d_isEquivalence_120 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> T_IsEquivalence_26 #
d_isPartialEquivalence_122 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> T_IsPartialEquivalence_16 #
d_partialSetoid_124 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> T_PartialSetoid_10 #
d_refl_126 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> AgdaAny -> AgdaAny #
du_refl_126 :: T_IsInjection_92 -> AgdaAny -> AgdaAny #
d_reflexive_128 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_128 :: T_IsInjection_92 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_130 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> T_Setoid_44 #
d_sym_132 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_132 :: T_IsInjection_92 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_134 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_134 :: T_IsInjection_92 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__138 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> AgdaAny -> AgdaAny -> () #
d__'8777'__140 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> AgdaAny -> AgdaAny -> () #
d_Carrier_142 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> () #
d_isEquivalence_144 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> T_IsEquivalence_26 #
d_isPartialEquivalence_146 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> T_IsPartialEquivalence_16 #
d_partialSetoid_148 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> T_PartialSetoid_10 #
d_refl_150 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> AgdaAny -> AgdaAny #
du_refl_150 :: T_IsInjection_92 -> AgdaAny -> AgdaAny #
d_reflexive_152 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_152 :: T_IsInjection_92 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_154 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> T_Setoid_44 #
d_sym_156 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_156 :: T_IsInjection_92 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_158 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsInjection_92 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_158 :: T_IsInjection_92 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_IsSurjection_162 :: p -> p -> p -> p -> p -> p -> p -> p -> p -> () #
data T_IsSurjection_162 #
Constructors
| C_IsSurjection'46'constructor_6463 T_IsCongruent_22 (AgdaAny -> T_Σ_14) |
d_surjective_172 :: T_IsSurjection_162 -> AgdaAny -> T_Σ_14 #
d_cong_176 :: T_IsSurjection_162 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__184 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> AgdaAny -> AgdaAny -> () #
d__'8777'__186 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> AgdaAny -> AgdaAny -> () #
d_Carrier_188 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> () #
d_isEquivalence_190 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> T_IsEquivalence_26 #
d_isPartialEquivalence_192 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> T_IsPartialEquivalence_16 #
d_partialSetoid_194 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> T_PartialSetoid_10 #
d_refl_196 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> AgdaAny -> AgdaAny #
du_refl_196 :: T_IsSurjection_162 -> AgdaAny -> AgdaAny #
d_reflexive_198 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_198 :: T_IsSurjection_162 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_200 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> T_Setoid_44 #
d_sym_202 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_202 :: T_IsSurjection_162 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_204 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_204 :: T_IsSurjection_162 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__208 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> AgdaAny -> AgdaAny -> () #
d__'8777'__210 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> AgdaAny -> AgdaAny -> () #
d_Carrier_212 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> () #
d_isEquivalence_214 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> T_IsEquivalence_26 #
d_isPartialEquivalence_216 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> T_IsPartialEquivalence_16 #
d_partialSetoid_218 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> T_PartialSetoid_10 #
d_refl_220 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> AgdaAny -> AgdaAny #
du_refl_220 :: T_IsSurjection_162 -> AgdaAny -> AgdaAny #
d_reflexive_222 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_222 :: T_IsSurjection_162 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_224 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> T_Setoid_44 #
d_sym_226 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_226 :: T_IsSurjection_162 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_228 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_228 :: T_IsSurjection_162 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_strictlySurjective_230 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSurjection_162 -> AgdaAny -> T_Σ_14 #
d_IsBijection_238 :: p -> p -> p -> p -> p -> p -> p -> p -> p -> () #
data T_IsBijection_238 #
Constructors
| C_IsBijection'46'constructor_10113 T_IsInjection_92 (AgdaAny -> T_Σ_14) |
d_surjective_248 :: T_IsBijection_238 -> AgdaAny -> T_Σ_14 #
d_cong_252 :: T_IsBijection_238 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_injective_254 :: T_IsBijection_238 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__264 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> AgdaAny -> AgdaAny -> () #
d__'8777'__266 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> AgdaAny -> AgdaAny -> () #
d_Carrier_268 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> () #
d_isEquivalence_270 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> T_IsEquivalence_26 #
d_isPartialEquivalence_272 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> T_IsPartialEquivalence_16 #
d_partialSetoid_274 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> T_PartialSetoid_10 #
d_refl_276 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> AgdaAny -> AgdaAny #
du_refl_276 :: T_IsBijection_238 -> AgdaAny -> AgdaAny #
d_reflexive_278 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_278 :: T_IsBijection_238 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_280 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> T_Setoid_44 #
d_sym_282 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_282 :: T_IsBijection_238 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_284 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_284 :: T_IsBijection_238 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__288 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> AgdaAny -> AgdaAny -> () #
d__'8777'__290 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> AgdaAny -> AgdaAny -> () #
d_Carrier_292 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> () #
d_isEquivalence_294 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> T_IsEquivalence_26 #
d_isPartialEquivalence_296 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> T_IsPartialEquivalence_16 #
d_partialSetoid_298 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> T_PartialSetoid_10 #
d_refl_300 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> AgdaAny -> AgdaAny #
du_refl_300 :: T_IsBijection_238 -> AgdaAny -> AgdaAny #
d_reflexive_302 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_302 :: T_IsBijection_238 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_304 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> T_Setoid_44 #
d_sym_306 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_306 :: T_IsBijection_238 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_308 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_308 :: T_IsBijection_238 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_bijective_310 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> T_Σ_14 #
d_isSurjection_312 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> T_IsSurjection_162 #
d_strictlySurjective_316 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsBijection_238 -> AgdaAny -> T_Σ_14 #
d_IsLeftInverse_322 :: p -> p -> p -> p -> p -> p -> p -> p -> p -> p -> () #
data T_IsLeftInverse_322 #
Constructors
| C_IsLeftInverse'46'constructor_14363 T_IsCongruent_22 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) |
d_from'45'cong_336 :: T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_inverse'737'_338 :: T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_cong_346 :: T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__350 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> () #
d__'8777'__352 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> () #
d_Carrier_354 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> () #
d_isEquivalence_356 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> T_IsEquivalence_26 #
d_isPartialEquivalence_358 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> T_IsPartialEquivalence_16 #
d_partialSetoid_360 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> T_PartialSetoid_10 #
d_refl_362 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> AgdaAny -> AgdaAny #
du_refl_362 :: T_IsLeftInverse_322 -> AgdaAny -> AgdaAny #
d_reflexive_364 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_364 :: T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_366 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> T_Setoid_44 #
d_sym_368 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_368 :: T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_370 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_370 :: T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__374 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> () #
d__'8777'__376 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> () #
d_Carrier_378 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> () #
d_isEquivalence_380 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> T_IsEquivalence_26 #
d_isPartialEquivalence_382 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> T_IsPartialEquivalence_16 #
d_partialSetoid_384 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> T_PartialSetoid_10 #
d_refl_386 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> AgdaAny -> AgdaAny #
du_refl_386 :: T_IsLeftInverse_322 -> AgdaAny -> AgdaAny #
d_reflexive_388 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_388 :: T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_390 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> T_Setoid_44 #
d_sym_392 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_392 :: T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_394 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_394 :: T_IsLeftInverse_322 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_strictlyInverse'737'_396 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> AgdaAny -> AgdaAny #
du_strictlyInverse'737'_396 :: (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> AgdaAny -> AgdaAny #
d_isSurjection_400 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> T_IsSurjection_162 #
du_isSurjection_400 :: (AgdaAny -> AgdaAny) -> T_IsLeftInverse_322 -> T_IsSurjection_162 #
d_IsRightInverse_408 :: p -> p -> p -> p -> p -> p -> p -> p -> p -> p -> () #
data T_IsRightInverse_408 #
Constructors
| C_IsRightInverse'46'constructor_18837 T_IsCongruent_22 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) |
d_from'45'cong_422 :: T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_inverse'691'_424 :: T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_cong_432 :: T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__436 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> () #
d__'8777'__438 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> () #
d_Carrier_440 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> () #
d_isEquivalence_442 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> T_IsEquivalence_26 #
d_isPartialEquivalence_444 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> T_IsPartialEquivalence_16 #
d_partialSetoid_446 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> T_PartialSetoid_10 #
d_refl_448 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> AgdaAny -> AgdaAny #
du_refl_448 :: T_IsRightInverse_408 -> AgdaAny -> AgdaAny #
d_reflexive_450 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_450 :: T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_452 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> T_Setoid_44 #
d_sym_454 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_454 :: T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_456 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_456 :: T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__460 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> () #
d__'8777'__462 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> () #
d_Carrier_464 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> () #
d_isEquivalence_466 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> T_IsEquivalence_26 #
d_isPartialEquivalence_468 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> T_IsPartialEquivalence_16 #
d_partialSetoid_470 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> T_PartialSetoid_10 #
d_refl_472 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> AgdaAny -> AgdaAny #
du_refl_472 :: T_IsRightInverse_408 -> AgdaAny -> AgdaAny #
d_reflexive_474 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_474 :: T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_476 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> T_Setoid_44 #
d_sym_478 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_478 :: T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_480 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_480 :: T_IsRightInverse_408 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_strictlyInverse'691'_482 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> AgdaAny -> AgdaAny #
du_strictlyInverse'691'_482 :: (AgdaAny -> AgdaAny) -> T_IsRightInverse_408 -> AgdaAny -> AgdaAny #
d_IsInverse_490 :: p -> p -> p -> p -> p -> p -> p -> p -> p -> p -> () #
data T_IsInverse_490 #
Constructors
| C_IsInverse'46'constructor_22449 T_IsLeftInverse_322 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) |
d_inverse'691'_502 :: T_IsInverse_490 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_from'45'cong_506 :: T_IsInverse_490 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_inverse'737'_508 :: T_IsInverse_490 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_isSurjection_516 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> T_IsSurjection_162 #
du_isSurjection_516 :: (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> T_IsSurjection_162 #
d_strictlyInverse'737'_518 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> AgdaAny -> AgdaAny #
du_strictlyInverse'737'_518 :: (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> AgdaAny -> AgdaAny #
d_cong_520 :: T_IsInverse_490 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__524 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> AgdaAny -> AgdaAny -> () #
d__'8777'__526 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> AgdaAny -> AgdaAny -> () #
d_Carrier_528 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> () #
d_isEquivalence_530 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> T_IsEquivalence_26 #
d_isPartialEquivalence_532 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> T_IsPartialEquivalence_16 #
d_partialSetoid_534 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> T_PartialSetoid_10 #
d_refl_536 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> AgdaAny -> AgdaAny #
du_refl_536 :: T_IsInverse_490 -> AgdaAny -> AgdaAny #
d_reflexive_538 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_538 :: T_IsInverse_490 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_540 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> T_Setoid_44 #
d_sym_542 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_542 :: T_IsInverse_490 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_544 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_544 :: T_IsInverse_490 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__548 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> AgdaAny -> AgdaAny -> () #
d__'8777'__550 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> AgdaAny -> AgdaAny -> () #
d_Carrier_552 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> () #
d_isEquivalence_554 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> T_IsEquivalence_26 #
d_isPartialEquivalence_556 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> T_IsPartialEquivalence_16 #
d_partialSetoid_558 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> T_PartialSetoid_10 #
d_refl_560 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> AgdaAny -> AgdaAny #
du_refl_560 :: T_IsInverse_490 -> AgdaAny -> AgdaAny #
d_reflexive_562 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_562 :: T_IsInverse_490 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_564 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> T_Setoid_44 #
d_sym_566 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_566 :: T_IsInverse_490 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_568 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_568 :: T_IsInverse_490 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_isRightInverse_570 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> T_IsRightInverse_408 #
d_strictlyInverse'691'_574 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> AgdaAny -> AgdaAny #
du_strictlyInverse'691'_574 :: (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> AgdaAny -> AgdaAny #
d_inverse_576 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsInverse_490 -> T_Σ_14 #
du_inverse_576 :: T_IsInverse_490 -> T_Σ_14 #
d_IsBiEquivalence_584 :: p -> p -> p -> p -> p -> p -> p -> p -> p -> p -> p -> () #
data T_IsBiEquivalence_584 #
Constructors
| C_IsBiEquivalence'46'constructor_28009 T_IsCongruent_22 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) |
d_from'8321''45'cong_600 :: T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_from'8322''45'cong_602 :: T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_cong_610 :: T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__614 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> () #
d__'8777'__616 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> () #
d_Carrier_618 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> () #
d_isEquivalence_620 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> T_IsEquivalence_26 #
d_isPartialEquivalence_622 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> T_IsPartialEquivalence_16 #
d_partialSetoid_624 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> T_PartialSetoid_10 #
d_refl_626 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny #
du_refl_626 :: T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny #
d_reflexive_628 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_628 :: T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_630 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> T_Setoid_44 #
d_sym_632 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_632 :: T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_634 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_634 :: T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__638 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> () #
d__'8777'__640 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> () #
d_Carrier_642 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> () #
d_isEquivalence_644 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> T_IsEquivalence_26 #
d_isPartialEquivalence_646 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> T_IsPartialEquivalence_16 #
d_partialSetoid_648 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> T_PartialSetoid_10 #
d_refl_650 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny #
du_refl_650 :: T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny #
d_reflexive_652 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_652 :: T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_654 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> T_Setoid_44 #
d_sym_656 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_656 :: T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_658 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_658 :: T_IsBiEquivalence_584 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_IsBiInverse_666 :: p -> p -> p -> p -> p -> p -> p -> p -> p -> p -> p -> () #
data T_IsBiInverse_666 #
d_from'8321''45'cong_686 :: T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_from'8322''45'cong_688 :: T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_inverse'737'_690 :: T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_inverse'691'_692 :: T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_cong_700 :: T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__704 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> () #
d__'8777'__706 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> () #
d_Carrier_708 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> () #
d_isEquivalence_710 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> T_IsEquivalence_26 #
d_isPartialEquivalence_712 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> T_IsPartialEquivalence_16 #
d_partialSetoid_714 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> T_PartialSetoid_10 #
d_refl_716 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> AgdaAny -> AgdaAny #
du_refl_716 :: T_IsBiInverse_666 -> AgdaAny -> AgdaAny #
d_reflexive_718 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_718 :: T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_720 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> T_Setoid_44 #
d_sym_722 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_722 :: T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_724 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_724 :: T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__728 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> () #
d__'8777'__730 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> () #
d_Carrier_732 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> () #
d_isEquivalence_734 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> T_IsEquivalence_26 #
d_isPartialEquivalence_736 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> T_IsPartialEquivalence_16 #
d_partialSetoid_738 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> T_PartialSetoid_10 #
d_refl_740 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> AgdaAny -> AgdaAny #
du_refl_740 :: T_IsBiInverse_666 -> AgdaAny -> AgdaAny #
d_reflexive_742 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_742 :: T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_744 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> T_Setoid_44 #
d_sym_746 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_746 :: T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_748 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_748 :: T_IsBiInverse_666 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_IsSplitSurjection_752 :: p -> p -> p -> p -> p -> p -> p -> p -> p -> () #
data T_IsSplitSurjection_752 #
Constructors
| C_IsSplitSurjection'46'constructor_35501 (AgdaAny -> AgdaAny) T_IsLeftInverse_322 |
d_from_760 :: T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny #
d_from'45'cong_766 :: T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_inverse'737'_768 :: T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_isSurjection_776 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> T_IsSurjection_162 #
d_strictlyInverse'737'_778 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny #
d_cong_780 :: T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__784 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> () #
d__'8777'__786 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> () #
d_Carrier_788 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> () #
d_isEquivalence_790 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> T_IsEquivalence_26 #
d_isPartialEquivalence_792 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> T_IsPartialEquivalence_16 #
d_partialSetoid_794 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> T_PartialSetoid_10 #
d_refl_796 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny #
du_refl_796 :: T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny #
d_reflexive_798 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_798 :: T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_800 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> T_Setoid_44 #
d_sym_802 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_802 :: T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_804 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_804 :: T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d__'8776'__808 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> () #
d__'8777'__810 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> () #
d_Carrier_812 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> () #
d_isEquivalence_814 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> T_IsEquivalence_26 #
d_isPartialEquivalence_816 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> T_IsPartialEquivalence_16 #
d_partialSetoid_818 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> T_PartialSetoid_10 #
d_refl_820 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny #
du_refl_820 :: T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny #
d_reflexive_822 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
du_reflexive_822 :: T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny #
d_setoid_824 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> T_Setoid_44 #
d_sym_826 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_sym_826 :: T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
d_trans_828 :: T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Level_18 -> () -> (AgdaAny -> AgdaAny -> ()) -> () -> (AgdaAny -> AgdaAny -> ()) -> (AgdaAny -> AgdaAny) -> T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #
du_trans_828 :: T_IsSplitSurjection_752 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny #