| Safe Haskell | Safe-Inferred |
|---|---|
| Language | Haskell2010 |
MAlonzo.Code.Algebra.Bundles
Documentation
d_SuccessorSet_8 ∷ p → p → () Source #
data T_SuccessorSet_8 Source #
Constructors
| C_constructor_68 (AgdaAny → AgdaAny) AgdaAny T_IsSuccessorSet_146 |
d_Carrier_24 ∷ T_SuccessorSet_8 → () Source #
d__'8776'__26 ∷ T_SuccessorSet_8 → AgdaAny → AgdaAny → () Source #
d_isPartialEquivalence_38 ∷ T_Level_18 → T_Level_18 → T_SuccessorSet_8 → T_IsPartialEquivalence_16 Source #
d_reflexive_42 ∷ T_Level_18 → T_Level_18 → T_SuccessorSet_8 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_50 ∷ T_SuccessorSet_8 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8776'__56 ∷ T_Level_18 → T_Level_18 → T_SuccessorSet_8 → AgdaAny → AgdaAny → () Source #
d__'8777'__58 ∷ T_Level_18 → T_Level_18 → T_SuccessorSet_8 → AgdaAny → AgdaAny → () Source #
d_Carrier_60 ∷ T_Level_18 → T_Level_18 → T_SuccessorSet_8 → () Source #
d_Magma_74 ∷ p → p → () Source #
data T_Magma_74 Source #
Constructors
| C_constructor_124 (AgdaAny → AgdaAny → AgdaAny) T_IsMagma_178 |
d_Carrier_88 ∷ T_Magma_74 → () Source #
d__'8776'__90 ∷ T_Magma_74 → AgdaAny → AgdaAny → () Source #
d__'8729'__92 ∷ T_Magma_74 → AgdaAny → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_100 ∷ T_Level_18 → T_Level_18 → T_Magma_74 → T_IsPartialEquivalence_16 Source #
d_refl_102 ∷ T_Magma_74 → AgdaAny → AgdaAny Source #
d_reflexive_104 ∷ T_Level_18 → T_Level_18 → T_Magma_74 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
du_reflexive_104 ∷ T_Magma_74 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_110 ∷ T_Magma_74 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_112 ∷ T_Magma_74 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_114 ∷ T_Level_18 → T_Level_18 → T_Magma_74 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_114 ∷ T_Magma_74 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_116 ∷ T_Level_18 → T_Level_18 → T_Magma_74 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_116 ∷ T_Magma_74 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__122 ∷ T_Level_18 → T_Level_18 → T_Magma_74 → AgdaAny → AgdaAny → () Source #
d_SelectiveMagma_130 ∷ p → p → () Source #
data T_SelectiveMagma_130 Source #
Constructors
| C_constructor_184 (AgdaAny → AgdaAny → AgdaAny) T_IsSelectiveMagma_450 |
d_Carrier_144 ∷ T_SelectiveMagma_130 → () Source #
d__'8776'__146 ∷ T_SelectiveMagma_130 → AgdaAny → AgdaAny → () Source #
d_isPartialEquivalence_158 ∷ T_Level_18 → T_Level_18 → T_SelectiveMagma_130 → T_IsPartialEquivalence_16 Source #
d_reflexive_162 ∷ T_Level_18 → T_Level_18 → T_SelectiveMagma_130 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_170 ∷ T_SelectiveMagma_130 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_172 ∷ T_SelectiveMagma_130 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_174 ∷ T_Level_18 → T_Level_18 → T_SelectiveMagma_130 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_174 ∷ T_SelectiveMagma_130 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_176 ∷ T_Level_18 → T_Level_18 → T_SelectiveMagma_130 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_176 ∷ T_SelectiveMagma_130 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_CommutativeMagma_190 ∷ p → p → () Source #
data T_CommutativeMagma_190 Source #
Constructors
| C_constructor_244 (AgdaAny → AgdaAny → AgdaAny) T_IsCommutativeMagma_214 |
d__'8776'__206 ∷ T_CommutativeMagma_190 → AgdaAny → AgdaAny → () Source #
d_isPartialEquivalence_220 ∷ T_Level_18 → T_Level_18 → T_CommutativeMagma_190 → T_IsPartialEquivalence_16 Source #
d_reflexive_224 ∷ T_Level_18 → T_Level_18 → T_CommutativeMagma_190 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_230 ∷ T_CommutativeMagma_190 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_232 ∷ T_CommutativeMagma_190 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_234 ∷ T_Level_18 → T_Level_18 → T_CommutativeMagma_190 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_234 ∷ T_CommutativeMagma_190 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_236 ∷ T_Level_18 → T_Level_18 → T_CommutativeMagma_190 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_236 ∷ T_CommutativeMagma_190 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_IdempotentMagma_250 ∷ p → p → () Source #
data T_IdempotentMagma_250 Source #
Constructors
| C_constructor_304 (AgdaAny → AgdaAny → AgdaAny) T_IsIdempotentMagma_252 |
d__'8776'__266 ∷ T_IdempotentMagma_250 → AgdaAny → AgdaAny → () Source #
d_isPartialEquivalence_280 ∷ T_Level_18 → T_Level_18 → T_IdempotentMagma_250 → T_IsPartialEquivalence_16 Source #
d_reflexive_284 ∷ T_Level_18 → T_Level_18 → T_IdempotentMagma_250 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_290 ∷ T_IdempotentMagma_250 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_292 ∷ T_IdempotentMagma_250 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_294 ∷ T_Level_18 → T_Level_18 → T_IdempotentMagma_250 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_294 ∷ T_IdempotentMagma_250 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_296 ∷ T_Level_18 → T_Level_18 → T_IdempotentMagma_250 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_296 ∷ T_IdempotentMagma_250 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_AlternativeMagma_310 ∷ p → p → () Source #
data T_AlternativeMagma_310 Source #
Constructors
| C_constructor_368 (AgdaAny → AgdaAny → AgdaAny) T_IsAlternativeMagma_290 |
d__'8776'__326 ∷ T_AlternativeMagma_310 → AgdaAny → AgdaAny → () Source #
d_alternative'691'_336 ∷ T_Level_18 → T_Level_18 → T_AlternativeMagma_310 → AgdaAny → AgdaAny → AgdaAny Source #
d_alternative'737'_338 ∷ T_Level_18 → T_Level_18 → T_AlternativeMagma_310 → AgdaAny → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_344 ∷ T_Level_18 → T_Level_18 → T_AlternativeMagma_310 → T_IsPartialEquivalence_16 Source #
d_reflexive_348 ∷ T_Level_18 → T_Level_18 → T_AlternativeMagma_310 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_354 ∷ T_AlternativeMagma_310 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_356 ∷ T_AlternativeMagma_310 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_358 ∷ T_Level_18 → T_Level_18 → T_AlternativeMagma_310 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_358 ∷ T_AlternativeMagma_310 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_360 ∷ T_Level_18 → T_Level_18 → T_AlternativeMagma_310 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_360 ∷ T_AlternativeMagma_310 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_FlexibleMagma_374 ∷ p → p → () Source #
data T_FlexibleMagma_374 Source #
Constructors
| C_constructor_428 (AgdaAny → AgdaAny → AgdaAny) T_IsFlexibleMagma_332 |
d_Carrier_388 ∷ T_FlexibleMagma_374 → () Source #
d__'8776'__390 ∷ T_FlexibleMagma_374 → AgdaAny → AgdaAny → () Source #
d_isPartialEquivalence_404 ∷ T_Level_18 → T_Level_18 → T_FlexibleMagma_374 → T_IsPartialEquivalence_16 Source #
d_reflexive_408 ∷ T_Level_18 → T_Level_18 → T_FlexibleMagma_374 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_414 ∷ T_FlexibleMagma_374 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_416 ∷ T_FlexibleMagma_374 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_418 ∷ T_Level_18 → T_Level_18 → T_FlexibleMagma_374 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_418 ∷ T_FlexibleMagma_374 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_420 ∷ T_Level_18 → T_Level_18 → T_FlexibleMagma_374 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_420 ∷ T_FlexibleMagma_374 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_MedialMagma_434 ∷ p → p → () Source #
data T_MedialMagma_434 Source #
Constructors
| C_constructor_488 (AgdaAny → AgdaAny → AgdaAny) T_IsMedialMagma_370 |
d_Carrier_448 ∷ T_MedialMagma_434 → () Source #
d__'8776'__450 ∷ T_MedialMagma_434 → AgdaAny → AgdaAny → () Source #
d_isPartialEquivalence_462 ∷ T_Level_18 → T_Level_18 → T_MedialMagma_434 → T_IsPartialEquivalence_16 Source #
d_medial_464 ∷ T_MedialMagma_434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_reflexive_468 ∷ T_Level_18 → T_Level_18 → T_MedialMagma_434 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_474 ∷ T_MedialMagma_434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_476 ∷ T_MedialMagma_434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_478 ∷ T_Level_18 → T_Level_18 → T_MedialMagma_434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_478 ∷ T_MedialMagma_434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_480 ∷ T_Level_18 → T_Level_18 → T_MedialMagma_434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_480 ∷ T_MedialMagma_434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_SemimedialMagma_494 ∷ p → p → () Source #
data T_SemimedialMagma_494 Source #
Constructors
| C_constructor_552 (AgdaAny → AgdaAny → AgdaAny) T_IsSemimedialMagma_408 |
d__'8776'__510 ∷ T_SemimedialMagma_494 → AgdaAny → AgdaAny → () Source #
d_isPartialEquivalence_522 ∷ T_Level_18 → T_Level_18 → T_SemimedialMagma_494 → T_IsPartialEquivalence_16 Source #
d_reflexive_526 ∷ T_Level_18 → T_Level_18 → T_SemimedialMagma_494 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_semimedial'691'_530 ∷ T_Level_18 → T_Level_18 → T_SemimedialMagma_494 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_semimedial'737'_532 ∷ T_Level_18 → T_Level_18 → T_SemimedialMagma_494 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_538 ∷ T_SemimedialMagma_494 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_540 ∷ T_SemimedialMagma_494 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_542 ∷ T_Level_18 → T_Level_18 → T_SemimedialMagma_494 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_542 ∷ T_SemimedialMagma_494 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_544 ∷ T_Level_18 → T_Level_18 → T_SemimedialMagma_494 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_544 ∷ T_SemimedialMagma_494 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_Semigroup_558 ∷ p → p → () Source #
data T_Semigroup_558 Source #
Constructors
| C_constructor_614 (AgdaAny → AgdaAny → AgdaAny) T_IsSemigroup_488 |
d_Carrier_572 ∷ T_Semigroup_558 → () Source #
d__'8776'__574 ∷ T_Semigroup_558 → AgdaAny → AgdaAny → () Source #
d_assoc_582 ∷ T_Semigroup_558 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_588 ∷ T_Level_18 → T_Level_18 → T_Semigroup_558 → T_IsPartialEquivalence_16 Source #
d_reflexive_592 ∷ T_Level_18 → T_Level_18 → T_Semigroup_558 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_598 ∷ T_Semigroup_558 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_600 ∷ T_Semigroup_558 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_602 ∷ T_Level_18 → T_Level_18 → T_Semigroup_558 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_602 ∷ T_Semigroup_558 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_604 ∷ T_Level_18 → T_Level_18 → T_Semigroup_558 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_604 ∷ T_Semigroup_558 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__610 ∷ T_Level_18 → T_Level_18 → T_Semigroup_558 → AgdaAny → AgdaAny → () Source #
d_Band_620 ∷ p → p → () Source #
data T_Band_620 Source #
Constructors
| C_constructor_682 (AgdaAny → AgdaAny → AgdaAny) T_IsBand_526 |
d_Carrier_634 ∷ T_Band_620 → () Source #
d__'8776'__636 ∷ T_Band_620 → AgdaAny → AgdaAny → () Source #
d__'8729'__638 ∷ T_Band_620 → AgdaAny → AgdaAny → AgdaAny Source #
d_assoc_644 ∷ T_Band_620 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_idem_646 ∷ T_Band_620 → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_652 ∷ T_Level_18 → T_Level_18 → T_Band_620 → T_IsPartialEquivalence_16 Source #
d_refl_656 ∷ T_Band_620 → AgdaAny → AgdaAny Source #
d_reflexive_658 ∷ T_Level_18 → T_Level_18 → T_Band_620 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
du_reflexive_658 ∷ T_Band_620 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_664 ∷ T_Band_620 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_666 ∷ T_Band_620 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_668 ∷ T_Level_18 → T_Level_18 → T_Band_620 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_668 ∷ T_Band_620 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_670 ∷ T_Level_18 → T_Level_18 → T_Band_620 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_670 ∷ T_Band_620 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__676 ∷ T_Level_18 → T_Level_18 → T_Band_620 → AgdaAny → AgdaAny → () Source #
d_CommutativeSemigroup_688 ∷ p → p → () Source #
data T_CommutativeSemigroup_688 Source #
Constructors
| C_constructor_754 (AgdaAny → AgdaAny → AgdaAny) T_IsCommutativeSemigroup_568 |
d__'8776'__704 ∷ T_CommutativeSemigroup_688 → AgdaAny → AgdaAny → () Source #
d_isCommutativeMagma_716 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemigroup_688 → T_IsCommutativeMagma_214 Source #
d_isPartialEquivalence_722 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemigroup_688 → T_IsPartialEquivalence_16 Source #
d_reflexive_728 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemigroup_688 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
du_reflexive_728 ∷ T_CommutativeSemigroup_688 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_734 ∷ T_CommutativeSemigroup_688 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_736 ∷ T_CommutativeSemigroup_688 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_738 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemigroup_688 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_738 ∷ T_CommutativeSemigroup_688 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_740 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemigroup_688 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_740 ∷ T_CommutativeSemigroup_688 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__746 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemigroup_688 → AgdaAny → AgdaAny → () Source #
d_commutativeMagma_752 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemigroup_688 → T_CommutativeMagma_190 Source #
d_CommutativeBand_760 ∷ p → p → () Source #
data T_CommutativeBand_760 Source #
Constructors
| C_constructor_838 (AgdaAny → AgdaAny → AgdaAny) T_IsCommutativeBand_612 |
d__'8776'__776 ∷ T_CommutativeBand_760 → AgdaAny → AgdaAny → () Source #
d_assoc_784 ∷ T_CommutativeBand_760 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isCommutativeMagma_792 ∷ T_Level_18 → T_Level_18 → T_CommutativeBand_760 → T_IsCommutativeMagma_214 Source #
d_isCommutativeSemigroup_794 ∷ T_Level_18 → T_Level_18 → T_CommutativeBand_760 → T_IsCommutativeSemigroup_568 Source #
d_isPartialEquivalence_800 ∷ T_Level_18 → T_Level_18 → T_CommutativeBand_760 → T_IsPartialEquivalence_16 Source #
d_reflexive_806 ∷ T_Level_18 → T_Level_18 → T_CommutativeBand_760 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_812 ∷ T_CommutativeBand_760 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_814 ∷ T_CommutativeBand_760 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_816 ∷ T_Level_18 → T_Level_18 → T_CommutativeBand_760 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_816 ∷ T_CommutativeBand_760 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_818 ∷ T_Level_18 → T_Level_18 → T_CommutativeBand_760 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_818 ∷ T_CommutativeBand_760 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__824 ∷ T_Level_18 → T_Level_18 → T_CommutativeBand_760 → AgdaAny → AgdaAny → () Source #
d_commutativeSemigroup_832 ∷ T_Level_18 → T_Level_18 → T_CommutativeBand_760 → T_CommutativeSemigroup_688 Source #
d_commutativeMagma_836 ∷ T_Level_18 → T_Level_18 → T_CommutativeBand_760 → T_CommutativeMagma_190 Source #
d_UnitalMagma_844 ∷ p → p → () Source #
data T_UnitalMagma_844 Source #
Constructors
| C_constructor_908 (AgdaAny → AgdaAny → AgdaAny) AgdaAny T_IsUnitalMagma_666 |
d_Carrier_860 ∷ T_UnitalMagma_844 → () Source #
d__'8776'__862 ∷ T_UnitalMagma_844 → AgdaAny → AgdaAny → () Source #
d_isPartialEquivalence_882 ∷ T_Level_18 → T_Level_18 → T_UnitalMagma_844 → T_IsPartialEquivalence_16 Source #
d_reflexive_886 ∷ T_Level_18 → T_Level_18 → T_UnitalMagma_844 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_892 ∷ T_UnitalMagma_844 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_894 ∷ T_UnitalMagma_844 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_896 ∷ T_Level_18 → T_Level_18 → T_UnitalMagma_844 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_896 ∷ T_UnitalMagma_844 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_898 ∷ T_Level_18 → T_Level_18 → T_UnitalMagma_844 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_898 ∷ T_UnitalMagma_844 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__904 ∷ T_Level_18 → T_Level_18 → T_UnitalMagma_844 → AgdaAny → AgdaAny → () Source #
d_Monoid_914 ∷ p → p → () Source #
data T_Monoid_914 Source #
Constructors
| C_constructor_990 (AgdaAny → AgdaAny → AgdaAny) AgdaAny T_IsMonoid_712 |
d_Carrier_930 ∷ T_Monoid_914 → () Source #
d__'8776'__932 ∷ T_Monoid_914 → AgdaAny → AgdaAny → () Source #
d__'8729'__934 ∷ T_Monoid_914 → AgdaAny → AgdaAny → AgdaAny Source #
d_assoc_942 ∷ T_Monoid_914 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_954 ∷ T_Level_18 → T_Level_18 → T_Monoid_914 → T_IsPartialEquivalence_16 Source #
d_refl_960 ∷ T_Monoid_914 → AgdaAny → AgdaAny Source #
d_reflexive_962 ∷ T_Level_18 → T_Level_18 → T_Monoid_914 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_968 ∷ T_Monoid_914 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_970 ∷ T_Monoid_914 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_972 ∷ T_Level_18 → T_Level_18 → T_Monoid_914 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_972 ∷ T_Monoid_914 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_974 ∷ T_Level_18 → T_Level_18 → T_Monoid_914 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_974 ∷ T_Monoid_914 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__980 ∷ T_Level_18 → T_Level_18 → T_Monoid_914 → AgdaAny → AgdaAny → () Source #
d_CommutativeMonoid_996 ∷ p → p → () Source #
data T_CommutativeMonoid_996 Source #
Constructors
| C_constructor_1088 (AgdaAny → AgdaAny → AgdaAny) AgdaAny T_IsCommutativeMonoid_764 |
d__'8776'__1014 ∷ T_CommutativeMonoid_996 → AgdaAny → AgdaAny → () Source #
d_identity'691'_1030 ∷ T_Level_18 → T_Level_18 → T_CommutativeMonoid_996 → AgdaAny → AgdaAny Source #
d_identity'737'_1032 ∷ T_Level_18 → T_Level_18 → T_CommutativeMonoid_996 → AgdaAny → AgdaAny Source #
d_isCommutativeMagma_1034 ∷ T_Level_18 → T_Level_18 → T_CommutativeMonoid_996 → T_IsCommutativeMagma_214 Source #
d_isCommutativeSemigroup_1036 ∷ T_Level_18 → T_Level_18 → T_CommutativeMonoid_996 → T_IsCommutativeSemigroup_568 Source #
d_isPartialEquivalence_1044 ∷ T_Level_18 → T_Level_18 → T_CommutativeMonoid_996 → T_IsPartialEquivalence_16 Source #
d_isUnitalMagma_1048 ∷ T_Level_18 → T_Level_18 → T_CommutativeMonoid_996 → T_IsUnitalMagma_666 Source #
d_reflexive_1052 ∷ T_Level_18 → T_Level_18 → T_CommutativeMonoid_996 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_sym_1056 ∷ T_CommutativeMonoid_996 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_1058 ∷ T_CommutativeMonoid_996 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_1060 ∷ T_CommutativeMonoid_996 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_1062 ∷ T_Level_18 → T_Level_18 → T_CommutativeMonoid_996 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_1062 ∷ T_CommutativeMonoid_996 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_1064 ∷ T_Level_18 → T_Level_18 → T_CommutativeMonoid_996 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_1064 ∷ T_CommutativeMonoid_996 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__1070 ∷ T_Level_18 → T_Level_18 → T_CommutativeMonoid_996 → AgdaAny → AgdaAny → () Source #
d_commutativeSemigroup_1082 ∷ T_Level_18 → T_Level_18 → T_CommutativeMonoid_996 → T_CommutativeSemigroup_688 Source #
d_commutativeMagma_1086 ∷ T_Level_18 → T_Level_18 → T_CommutativeMonoid_996 → T_CommutativeMagma_190 Source #
d_IdempotentMonoid_1094 ∷ p → p → () Source #
data T_IdempotentMonoid_1094 Source #
Constructors
| C_constructor_1180 (AgdaAny → AgdaAny → AgdaAny) AgdaAny T_IsIdempotentMonoid_826 |
d__'8776'__1112 ∷ T_IdempotentMonoid_1094 → AgdaAny → AgdaAny → () Source #
d_identity'691'_1128 ∷ T_Level_18 → T_Level_18 → T_IdempotentMonoid_1094 → AgdaAny → AgdaAny Source #
d_identity'737'_1130 ∷ T_Level_18 → T_Level_18 → T_IdempotentMonoid_1094 → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_1140 ∷ T_Level_18 → T_Level_18 → T_IdempotentMonoid_1094 → T_IsPartialEquivalence_16 Source #
d_isUnitalMagma_1144 ∷ T_Level_18 → T_Level_18 → T_IdempotentMonoid_1094 → T_IsUnitalMagma_666 Source #
d_reflexive_1148 ∷ T_Level_18 → T_Level_18 → T_IdempotentMonoid_1094 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_sym_1152 ∷ T_IdempotentMonoid_1094 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_1154 ∷ T_IdempotentMonoid_1094 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_1156 ∷ T_IdempotentMonoid_1094 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_1158 ∷ T_Level_18 → T_Level_18 → T_IdempotentMonoid_1094 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_1158 ∷ T_IdempotentMonoid_1094 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_1160 ∷ T_Level_18 → T_Level_18 → T_IdempotentMonoid_1094 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_1160 ∷ T_IdempotentMonoid_1094 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__1166 ∷ T_Level_18 → T_Level_18 → T_IdempotentMonoid_1094 → AgdaAny → AgdaAny → () Source #
d_IdempotentCommutativeMonoid_1186 ∷ p → p → () Source #
data T_IdempotentCommutativeMonoid_1186 Source #
Constructors
| C_constructor_1296 (AgdaAny → AgdaAny → AgdaAny) AgdaAny T_IsIdempotentCommutativeMonoid_884 |
d_isIdempotentCommutativeMonoid_1210 ∷ T_IdempotentCommutativeMonoid_1186 → T_IsIdempotentCommutativeMonoid_884 Source #
d_identity'691'_1222 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny Source #
d_identity'737'_1224 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny Source #
d_isBand_1226 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_IsBand_526 Source #
d_isCommutativeBand_1228 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_IsCommutativeBand_612 Source #
d_isCommutativeMagma_1230 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_IsCommutativeMagma_214 Source #
d_isCommutativeMonoid_1232 ∷ T_IdempotentCommutativeMonoid_1186 → T_IsCommutativeMonoid_764 Source #
d_isCommutativeSemigroup_1234 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_IsCommutativeSemigroup_568 Source #
du_isCommutativeSemigroup_1234 ∷ T_IdempotentCommutativeMonoid_1186 → T_IsCommutativeSemigroup_568 Source #
d_isIdempotentMonoid_1238 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_IsIdempotentMonoid_826 Source #
d_isPartialEquivalence_1244 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_IsPartialEquivalence_16 Source #
du_isPartialEquivalence_1244 ∷ T_IdempotentCommutativeMonoid_1186 → T_IsPartialEquivalence_16 Source #
d_isUnitalMagma_1248 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_IsUnitalMagma_666 Source #
d_reflexive_1252 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
du_reflexive_1252 ∷ T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_1258 ∷ T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_1260 ∷ T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_1262 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_1262 ∷ T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_1264 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_1264 ∷ T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_commutativeMonoid_1266 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_CommutativeMonoid_996 Source #
d_idempotentMonoid_1268 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_IdempotentMonoid_1094 Source #
d_commutativeBand_1270 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_CommutativeBand_760 Source #
d__'8777'__1274 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → () Source #
d_commutativeMagma_1276 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_CommutativeMagma_190 Source #
d_commutativeSemigroup_1278 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_CommutativeSemigroup_688 Source #
du_commutativeSemigroup_1278 ∷ T_IdempotentCommutativeMonoid_1186 → T_CommutativeSemigroup_688 Source #
d_monoid_1282 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_Monoid_914 Source #
d_rawMagma_1284 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_RawMagma_44 Source #
d_rawMonoid_1286 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_RawMonoid_74 Source #
d_semigroup_1288 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_Semigroup_558 Source #
d_unitalMagma_1290 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_UnitalMagma_844 Source #
d_BoundedLattice_1298 ∷ T_Level_18 → T_Level_18 → () Source #
d__'8777'__1312 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → () Source #
d_commutativeBand_1322 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_CommutativeBand_760 Source #
d_commutativeMagma_1324 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_CommutativeMagma_190 Source #
d_commutativeMonoid_1326 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_CommutativeMonoid_996 Source #
d_commutativeSemigroup_1328 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_CommutativeSemigroup_688 Source #
du_commutativeSemigroup_1328 ∷ T_IdempotentCommutativeMonoid_1186 → T_CommutativeSemigroup_688 Source #
d_idempotentMonoid_1332 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_IdempotentMonoid_1094 Source #
d_identity'691'_1336 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny Source #
d_identity'737'_1338 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny Source #
d_isBand_1340 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_IsBand_526 Source #
d_isCommutativeBand_1342 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_IsCommutativeBand_612 Source #
d_isCommutativeMagma_1344 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_IsCommutativeMagma_214 Source #
d_isCommutativeMonoid_1346 ∷ T_IdempotentCommutativeMonoid_1186 → T_IsCommutativeMonoid_764 Source #
d_isCommutativeSemigroup_1348 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_IsCommutativeSemigroup_568 Source #
du_isCommutativeSemigroup_1348 ∷ T_IdempotentCommutativeMonoid_1186 → T_IsCommutativeSemigroup_568 Source #
d_isIdempotentCommutativeMonoid_1352 ∷ T_IdempotentCommutativeMonoid_1186 → T_IsIdempotentCommutativeMonoid_884 Source #
d_isIdempotentMonoid_1354 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_IsIdempotentMonoid_826 Source #
d_isPartialEquivalence_1360 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_IsPartialEquivalence_16 Source #
du_isPartialEquivalence_1360 ∷ T_IdempotentCommutativeMonoid_1186 → T_IsPartialEquivalence_16 Source #
d_isUnitalMagma_1364 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_IsUnitalMagma_666 Source #
d_monoid_1368 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_Monoid_914 Source #
d_rawMagma_1370 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_RawMagma_44 Source #
d_rawMonoid_1372 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_RawMonoid_74 Source #
d_reflexive_1376 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
du_reflexive_1376 ∷ T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_semigroup_1378 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_Semigroup_558 Source #
d_trans_1384 ∷ T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_unitalMagma_1386 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → T_UnitalMagma_844 Source #
d_'8729''45'cong_1390 ∷ T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_1392 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_1392 ∷ T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_1394 ∷ T_Level_18 → T_Level_18 → T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_1394 ∷ T_IdempotentCommutativeMonoid_1186 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_InvertibleMagma_1400 ∷ p → p → () Source #
data T_InvertibleMagma_1400 Source #
Constructors
| C_constructor_1470 (AgdaAny → AgdaAny → AgdaAny) AgdaAny (AgdaAny → AgdaAny) T_IsInvertibleMagma_958 |
d__'8776'__1420 ∷ T_InvertibleMagma_1400 → AgdaAny → AgdaAny → () Source #
d_isPartialEquivalence_1442 ∷ T_Level_18 → T_Level_18 → T_InvertibleMagma_1400 → T_IsPartialEquivalence_16 Source #
d_reflexive_1446 ∷ T_Level_18 → T_Level_18 → T_InvertibleMagma_1400 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_sym_1450 ∷ T_InvertibleMagma_1400 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_1452 ∷ T_InvertibleMagma_1400 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8315''185''45'cong_1454 ∷ T_InvertibleMagma_1400 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_1456 ∷ T_InvertibleMagma_1400 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_1458 ∷ T_Level_18 → T_Level_18 → T_InvertibleMagma_1400 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_1458 ∷ T_InvertibleMagma_1400 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_1460 ∷ T_Level_18 → T_Level_18 → T_InvertibleMagma_1400 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_1460 ∷ T_InvertibleMagma_1400 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__1466 ∷ T_Level_18 → T_Level_18 → T_InvertibleMagma_1400 → AgdaAny → AgdaAny → () Source #
d_InvertibleUnitalMagma_1476 ∷ p → p → () Source #
data T_InvertibleUnitalMagma_1476 Source #
Constructors
| C_constructor_1558 (AgdaAny → AgdaAny → AgdaAny) AgdaAny (AgdaAny → AgdaAny) T_IsInvertibleUnitalMagma_1012 |
d__'8776'__1496 ∷ T_InvertibleUnitalMagma_1476 → AgdaAny → AgdaAny → () Source #
d_isInvertibleUnitalMagma_1504 ∷ T_InvertibleUnitalMagma_1476 → T_IsInvertibleUnitalMagma_1012 Source #
d_identity'691'_1510 ∷ T_Level_18 → T_Level_18 → T_InvertibleUnitalMagma_1476 → AgdaAny → AgdaAny Source #
d_identity'737'_1512 ∷ T_Level_18 → T_Level_18 → T_InvertibleUnitalMagma_1476 → AgdaAny → AgdaAny Source #
d_inverse'691'_1516 ∷ T_Level_18 → T_Level_18 → T_InvertibleUnitalMagma_1476 → AgdaAny → AgdaAny Source #
d_inverse'737'_1518 ∷ T_Level_18 → T_Level_18 → T_InvertibleUnitalMagma_1476 → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_1526 ∷ T_Level_18 → T_Level_18 → T_InvertibleUnitalMagma_1476 → T_IsPartialEquivalence_16 Source #
d_isUnitalMagma_1528 ∷ T_Level_18 → T_Level_18 → T_InvertibleUnitalMagma_1476 → T_IsUnitalMagma_666 Source #
d_reflexive_1532 ∷ T_Level_18 → T_Level_18 → T_InvertibleUnitalMagma_1476 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
du_reflexive_1532 ∷ T_InvertibleUnitalMagma_1476 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_1538 ∷ T_InvertibleUnitalMagma_1476 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8315''185''45'cong_1540 ∷ T_InvertibleUnitalMagma_1476 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_1542 ∷ T_InvertibleUnitalMagma_1476 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_1544 ∷ T_Level_18 → T_Level_18 → T_InvertibleUnitalMagma_1476 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_1544 ∷ T_InvertibleUnitalMagma_1476 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_1546 ∷ T_Level_18 → T_Level_18 → T_InvertibleUnitalMagma_1476 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_1546 ∷ T_InvertibleUnitalMagma_1476 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_invertibleMagma_1548 ∷ T_Level_18 → T_Level_18 → T_InvertibleUnitalMagma_1476 → T_InvertibleMagma_1400 Source #
d__'8777'__1552 ∷ T_Level_18 → T_Level_18 → T_InvertibleUnitalMagma_1476 → AgdaAny → AgdaAny → () Source #
d_Group_1564 ∷ p → p → () Source #
data T_Group_1564 Source #
Constructors
| C_constructor_1676 (AgdaAny → AgdaAny → AgdaAny) AgdaAny (AgdaAny → AgdaAny) T_IsGroup_1074 |
d_Carrier_1582 ∷ T_Group_1564 → () Source #
d__'8776'__1584 ∷ T_Group_1564 → AgdaAny → AgdaAny → () Source #
d__'8729'__1586 ∷ T_Group_1564 → AgdaAny → AgdaAny → AgdaAny Source #
d__'45'__1596 ∷ T_Level_18 → T_Level_18 → T_Group_1564 → AgdaAny → AgdaAny → AgdaAny Source #
du__'45'__1596 ∷ T_Group_1564 → AgdaAny → AgdaAny → AgdaAny Source #
d__'47''47'__1598 ∷ T_Level_18 → T_Level_18 → T_Group_1564 → AgdaAny → AgdaAny → AgdaAny Source #
d__'92''92'__1600 ∷ T_Level_18 → T_Level_18 → T_Group_1564 → AgdaAny → AgdaAny → AgdaAny Source #
d_assoc_1602 ∷ T_Group_1564 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isInvertibleMagma_1618 ∷ T_Level_18 → T_Level_18 → T_Group_1564 → T_IsInvertibleMagma_958 Source #
d_isInvertibleUnitalMagma_1620 ∷ T_Level_18 → T_Level_18 → T_Group_1564 → T_IsInvertibleUnitalMagma_1012 Source #
d_isPartialEquivalence_1626 ∷ T_Level_18 → T_Level_18 → T_Group_1564 → T_IsPartialEquivalence_16 Source #
d_refl_1632 ∷ T_Group_1564 → AgdaAny → AgdaAny Source #
d_reflexive_1634 ∷ T_Level_18 → T_Level_18 → T_Group_1564 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_sym_1638 ∷ T_Group_1564 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_1640 ∷ T_Group_1564 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_unique'691''45''8315''185'_1642 ∷ T_Level_18 → T_Level_18 → T_Group_1564 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_unique'737''45''8315''185'_1644 ∷ T_Level_18 → T_Level_18 → T_Group_1564 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_1648 ∷ T_Group_1564 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_1650 ∷ T_Level_18 → T_Level_18 → T_Group_1564 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_1650 ∷ T_Group_1564 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_1652 ∷ T_Level_18 → T_Level_18 → T_Group_1564 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_1652 ∷ T_Group_1564 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__1660 ∷ T_Level_18 → T_Level_18 → T_Group_1564 → AgdaAny → AgdaAny → () Source #
d_invertibleUnitalMagma_1674 ∷ T_Level_18 → T_Level_18 → T_Group_1564 → T_InvertibleUnitalMagma_1476 Source #
d_AbelianGroup_1682 ∷ p → p → () Source #
data T_AbelianGroup_1682 Source #
Constructors
| C_constructor_1808 (AgdaAny → AgdaAny → AgdaAny) AgdaAny (AgdaAny → AgdaAny) T_IsAbelianGroup_1172 |
d_Carrier_1700 ∷ T_AbelianGroup_1682 → () Source #
d__'8776'__1702 ∷ T_AbelianGroup_1682 → AgdaAny → AgdaAny → () Source #
d__'47''47'__1714 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → AgdaAny → AgdaAny → AgdaAny Source #
d_assoc_1716 ∷ T_AbelianGroup_1682 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isCommutativeMagma_1732 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → T_IsCommutativeMagma_214 Source #
d_isCommutativeMonoid_1734 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → T_IsCommutativeMonoid_764 Source #
d_isCommutativeSemigroup_1736 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → T_IsCommutativeSemigroup_568 Source #
d_isInvertibleMagma_1742 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → T_IsInvertibleMagma_958 Source #
d_isInvertibleUnitalMagma_1744 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → T_IsInvertibleUnitalMagma_1012 Source #
d_isPartialEquivalence_1750 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → T_IsPartialEquivalence_16 Source #
d_reflexive_1758 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_sym_1762 ∷ T_AbelianGroup_1682 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_1764 ∷ T_AbelianGroup_1682 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_unique'691''45''8315''185'_1766 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_unique'691''45''8315''185'_1766 ∷ T_AbelianGroup_1682 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_unique'737''45''8315''185'_1768 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_unique'737''45''8315''185'_1768 ∷ T_AbelianGroup_1682 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_1772 ∷ T_AbelianGroup_1682 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_1774 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_1774 ∷ T_AbelianGroup_1682 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_1776 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_1776 ∷ T_AbelianGroup_1682 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__1782 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → AgdaAny → AgdaAny → () Source #
d_invertibleMagma_1784 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → T_InvertibleMagma_1400 Source #
d_invertibleUnitalMagma_1786 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → T_InvertibleUnitalMagma_1476 Source #
d_commutativeMonoid_1800 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → T_CommutativeMonoid_996 Source #
d_commutativeMagma_1804 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → T_CommutativeMagma_190 Source #
d_commutativeSemigroup_1806 ∷ T_Level_18 → T_Level_18 → T_AbelianGroup_1682 → T_CommutativeSemigroup_688 Source #
d_NearSemiring_1814 ∷ p → p → () Source #
data T_NearSemiring_1814 Source #
Constructors
| C_constructor_1924 (AgdaAny → AgdaAny → AgdaAny) (AgdaAny → AgdaAny → AgdaAny) AgdaAny T_IsNearSemiring_1260 |
d_Carrier_1832 ∷ T_NearSemiring_1814 → () Source #
d__'8776'__1834 ∷ T_NearSemiring_1814 → AgdaAny → AgdaAny → () Source #
d_'42''45'cong_1848 ∷ T_NearSemiring_1814 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_1850 ∷ T_Level_18 → T_Level_18 → T_NearSemiring_1814 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_1850 ∷ T_NearSemiring_1814 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_1852 ∷ T_Level_18 → T_Level_18 → T_NearSemiring_1814 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_1852 ∷ T_NearSemiring_1814 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'isSemigroup_1856 ∷ T_Level_18 → T_Level_18 → T_NearSemiring_1814 → T_IsSemigroup_488 Source #
d_assoc_1858 ∷ T_NearSemiring_1814 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_1860 ∷ T_NearSemiring_1814 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_1862 ∷ T_Level_18 → T_Level_18 → T_NearSemiring_1814 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_1862 ∷ T_NearSemiring_1814 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_1864 ∷ T_Level_18 → T_Level_18 → T_NearSemiring_1814 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_1864 ∷ T_NearSemiring_1814 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_1884 ∷ T_Level_18 → T_Level_18 → T_NearSemiring_1814 → T_IsPartialEquivalence_16 Source #
d_reflexive_1888 ∷ T_Level_18 → T_Level_18 → T_NearSemiring_1814 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_sym_1892 ∷ T_NearSemiring_1814 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_1894 ∷ T_NearSemiring_1814 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_rawNearSemiring_1898 ∷ T_Level_18 → T_Level_18 → T_NearSemiring_1814 → T_RawNearSemiring_148 Source #
d__'8777'__1904 ∷ T_Level_18 → T_Level_18 → T_NearSemiring_1814 → AgdaAny → AgdaAny → () Source #
d_SemiringWithoutOne_1930 ∷ p → p → () Source #
data T_SemiringWithoutOne_1930 Source #
Constructors
| C_constructor_2058 (AgdaAny → AgdaAny → AgdaAny) (AgdaAny → AgdaAny → AgdaAny) AgdaAny T_IsSemiringWithoutOne_1342 |
d__'8776'__1950 ∷ T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny → () Source #
d_'42''45'cong_1964 ∷ T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_1966 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_1966 ∷ T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_1968 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_1968 ∷ T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'isMagma_1970 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → T_IsMagma_178 Source #
d_'42''45'isSemigroup_1972 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → T_IsSemigroup_488 Source #
d_'8729''45'cong_1978 ∷ T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_1980 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_1980 ∷ T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_1982 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_1982 ∷ T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_identity'691'_1986 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny Source #
d_identity'737'_1988 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny Source #
d_isCommutativeMagma_1990 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → T_IsCommutativeMagma_214 Source #
d_isCommutativeSemigroup_1994 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → T_IsCommutativeSemigroup_568 Source #
d_distrib'691'_2000 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_distrib'737'_2002 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isNearSemiring_2006 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → T_IsNearSemiring_1260 Source #
d_isPartialEquivalence_2008 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → T_IsPartialEquivalence_16 Source #
d_reflexive_2012 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
du_reflexive_2012 ∷ T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_2018 ∷ T_SemiringWithoutOne_1930 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_nearSemiring_2026 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → T_NearSemiring_1814 Source #
d_'42''45'semigroup_2034 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → T_Semigroup_558 Source #
d_unitalMagma_2046 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → T_UnitalMagma_844 Source #
d_rawNearSemiring_2048 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → T_RawNearSemiring_148 Source #
d_'43''45'commutativeMonoid_2050 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → T_CommutativeMonoid_996 Source #
d_commutativeMagma_2054 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → T_CommutativeMagma_190 Source #
d_commutativeSemigroup_2056 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutOne_1930 → T_CommutativeSemigroup_688 Source #
d_CommutativeSemiringWithoutOne_2064 ∷ p → p → () Source #
data T_CommutativeSemiringWithoutOne_2064 Source #
Constructors
| C_constructor_2198 (AgdaAny → AgdaAny → AgdaAny) (AgdaAny → AgdaAny → AgdaAny) AgdaAny T_IsCommutativeSemiringWithoutOne_1438 |
d_isCommutativeSemiringWithoutOne_2092 ∷ T_CommutativeSemiringWithoutOne_2064 → T_IsCommutativeSemiringWithoutOne_1438 Source #
d_'42''45'assoc_2096 ∷ T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'cong_2100 ∷ T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_2102 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_2102 ∷ T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_2104 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_2104 ∷ T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isCommutativeMagma_2106 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_IsCommutativeMagma_214 Source #
du_isCommutativeMagma_2106 ∷ T_CommutativeSemiringWithoutOne_2064 → T_IsCommutativeMagma_214 Source #
d_'42''45'isCommutativeSemigroup_2108 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_IsCommutativeSemigroup_568 Source #
du_'42''45'isCommutativeSemigroup_2108 ∷ T_CommutativeSemiringWithoutOne_2064 → T_IsCommutativeSemigroup_568 Source #
d_'42''45'isMagma_2110 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_IsMagma_178 Source #
d_'42''45'isSemigroup_2112 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_IsSemigroup_488 Source #
d_assoc_2114 ∷ T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_2118 ∷ T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_2120 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_2120 ∷ T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_2122 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_2122 ∷ T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_identity'691'_2126 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny Source #
d_identity'737'_2128 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny Source #
d_isCommutativeMagma_2130 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_IsCommutativeMagma_214 Source #
du_isCommutativeMagma_2130 ∷ T_CommutativeSemiringWithoutOne_2064 → T_IsCommutativeMagma_214 Source #
d_'43''45'isCommutativeMonoid_2132 ∷ T_CommutativeSemiringWithoutOne_2064 → T_IsCommutativeMonoid_764 Source #
d_isCommutativeSemigroup_2134 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_IsCommutativeSemigroup_568 Source #
du_isCommutativeSemigroup_2134 ∷ T_CommutativeSemiringWithoutOne_2064 → T_IsCommutativeSemigroup_568 Source #
d_distrib'691'_2140 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_distrib'691'_2140 ∷ T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_distrib'737'_2142 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_distrib'737'_2142 ∷ T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isNearSemiring_2146 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_IsNearSemiring_1260 Source #
d_isPartialEquivalence_2148 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_IsPartialEquivalence_16 Source #
du_isPartialEquivalence_2148 ∷ T_CommutativeSemiringWithoutOne_2064 → T_IsPartialEquivalence_16 Source #
d_isSemiringWithoutOne_2150 ∷ T_CommutativeSemiringWithoutOne_2064 → T_IsSemiringWithoutOne_1342 Source #
d_reflexive_2154 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
du_reflexive_2154 ∷ T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_setoid_2156 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_Setoid_46 Source #
d_trans_2160 ∷ T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_zero'691'_2164 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny Source #
d_zero'737'_2166 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → AgdaAny → AgdaAny Source #
d_semiringWithoutOne_2168 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_SemiringWithoutOne_1930 Source #
du_semiringWithoutOne_2168 ∷ T_CommutativeSemiringWithoutOne_2064 → T_SemiringWithoutOne_1930 Source #
d_rawMagma_2174 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_RawMagma_44 Source #
d_'42''45'semigroup_2176 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_Semigroup_558 Source #
d_'43''45'commutativeMonoid_2178 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_CommutativeMonoid_996 Source #
du_'43''45'commutativeMonoid_2178 ∷ T_CommutativeSemiringWithoutOne_2064 → T_CommutativeMonoid_996 Source #
d_commutativeSemigroup_2180 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_CommutativeSemigroup_688 Source #
du_commutativeSemigroup_2180 ∷ T_CommutativeSemiringWithoutOne_2064 → T_CommutativeSemigroup_688 Source #
d_'43''45'monoid_2184 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_Monoid_914 Source #
d_rawMagma_2186 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_RawMagma_44 Source #
d_rawMonoid_2188 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_RawMonoid_74 Source #
d_semigroup_2190 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_Semigroup_558 Source #
d_unitalMagma_2192 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_UnitalMagma_844 Source #
d_nearSemiring_2194 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_NearSemiring_1814 Source #
d_rawNearSemiring_2196 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiringWithoutOne_2064 → T_RawNearSemiring_148 Source #
d_SemiringWithoutAnnihilatingZero_2204 ∷ p → p → () Source #
data T_SemiringWithoutAnnihilatingZero_2204 Source #
Constructors
| C_constructor_2350 (AgdaAny → AgdaAny → AgdaAny) (AgdaAny → AgdaAny → AgdaAny) AgdaAny AgdaAny T_IsSemiringWithoutAnnihilatingZero_1536 |
d_isSemiringWithoutAnnihilatingZero_2236 ∷ T_SemiringWithoutAnnihilatingZero_2204 → T_IsSemiringWithoutAnnihilatingZero_1536 Source #
d_'42''45'assoc_2240 ∷ T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'cong_2242 ∷ T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_2244 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_2244 ∷ T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_2246 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_2246 ∷ T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_identity'691'_2250 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny Source #
d_identity'737'_2252 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny Source #
d_'42''45'isMagma_2254 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_IsMagma_178 Source #
d_'42''45'isMonoid_2256 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_IsMonoid_712 Source #
d_'42''45'isSemigroup_2258 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_IsSemigroup_488 Source #
d_assoc_2260 ∷ T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_2264 ∷ T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_2266 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_2266 ∷ T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_2268 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_2268 ∷ T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_identity'691'_2272 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny Source #
d_identity'737'_2274 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny Source #
d_isCommutativeMagma_2276 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_IsCommutativeMagma_214 Source #
du_isCommutativeMagma_2276 ∷ T_SemiringWithoutAnnihilatingZero_2204 → T_IsCommutativeMagma_214 Source #
d_'43''45'isCommutativeMonoid_2278 ∷ T_SemiringWithoutAnnihilatingZero_2204 → T_IsCommutativeMonoid_764 Source #
d_isCommutativeSemigroup_2280 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_IsCommutativeSemigroup_568 Source #
du_isCommutativeSemigroup_2280 ∷ T_SemiringWithoutAnnihilatingZero_2204 → T_IsCommutativeSemigroup_568 Source #
d_isUnitalMagma_2288 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_IsUnitalMagma_666 Source #
d_distrib'691'_2292 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_distrib'691'_2292 ∷ T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_distrib'737'_2294 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_distrib'737'_2294 ∷ T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_2298 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_IsPartialEquivalence_16 Source #
du_isPartialEquivalence_2298 ∷ T_SemiringWithoutAnnihilatingZero_2204 → T_IsPartialEquivalence_16 Source #
d_reflexive_2302 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
du_reflexive_2302 ∷ T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_setoid_2304 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_Setoid_46 Source #
d_sym_2306 ∷ T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_2308 ∷ T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_rawSemiring_2310 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_RawSemiring_190 Source #
d_rawNearSemiring_2314 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_RawNearSemiring_148 Source #
d_'43''45'commutativeMonoid_2316 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_CommutativeMonoid_996 Source #
du_'43''45'commutativeMonoid_2316 ∷ T_SemiringWithoutAnnihilatingZero_2204 → T_CommutativeMonoid_996 Source #
d__'8777'__2320 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → AgdaAny → AgdaAny → () Source #
d_commutativeMagma_2322 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_CommutativeMagma_190 Source #
d_commutativeSemigroup_2324 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_CommutativeSemigroup_688 Source #
du_commutativeSemigroup_2324 ∷ T_SemiringWithoutAnnihilatingZero_2204 → T_CommutativeSemigroup_688 Source #
d_magma_2326 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_Magma_74 Source #
d_monoid_2328 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_Monoid_914 Source #
d_rawMagma_2330 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_RawMagma_44 Source #
d_rawMonoid_2332 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_RawMonoid_74 Source #
d_semigroup_2334 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_Semigroup_558 Source #
d_unitalMagma_2336 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_UnitalMagma_844 Source #
d_'42''45'monoid_2338 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_Monoid_914 Source #
d_magma_2342 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_Magma_74 Source #
d_rawMagma_2344 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_RawMagma_44 Source #
d_rawMonoid_2346 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_RawMonoid_74 Source #
d_semigroup_2348 ∷ T_Level_18 → T_Level_18 → T_SemiringWithoutAnnihilatingZero_2204 → T_Semigroup_558 Source #
d_Semiring_2356 ∷ p → p → () Source #
data T_Semiring_2356 Source #
Constructors
| C_constructor_2518 (AgdaAny → AgdaAny → AgdaAny) (AgdaAny → AgdaAny → AgdaAny) AgdaAny AgdaAny T_IsSemiring_1640 |
d_Carrier_2376 ∷ T_Semiring_2356 → () Source #
d__'8776'__2378 ∷ T_Semiring_2356 → AgdaAny → AgdaAny → () Source #
d__'43'__2380 ∷ T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny Source #
d__'42'__2382 ∷ T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'cong_2394 ∷ T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_2396 ∷ T_Level_18 → T_Level_18 → T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_2396 ∷ T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_2398 ∷ T_Level_18 → T_Level_18 → T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_2398 ∷ T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_assoc_2412 ∷ T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_comm_2414 ∷ T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_2416 ∷ T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_2418 ∷ T_Level_18 → T_Level_18 → T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_2418 ∷ T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_2420 ∷ T_Level_18 → T_Level_18 → T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_2420 ∷ T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isCommutativeMagma_2428 ∷ T_Level_18 → T_Level_18 → T_Semiring_2356 → T_IsCommutativeMagma_214 Source #
d_isCommutativeSemigroup_2432 ∷ T_Level_18 → T_Level_18 → T_Semiring_2356 → T_IsCommutativeSemigroup_568 Source #
d_distrib'691'_2444 ∷ T_Level_18 → T_Level_18 → T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_distrib'737'_2446 ∷ T_Level_18 → T_Level_18 → T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_2452 ∷ T_Level_18 → T_Level_18 → T_Semiring_2356 → T_IsPartialEquivalence_16 Source #
d_isSemiringWithoutAnnihilatingZero_2454 ∷ T_Semiring_2356 → T_IsSemiringWithoutAnnihilatingZero_1536 Source #
d_isSemiringWithoutOne_2456 ∷ T_Level_18 → T_Level_18 → T_Semiring_2356 → T_IsSemiringWithoutOne_1342 Source #
d_reflexive_2460 ∷ T_Level_18 → T_Level_18 → T_Semiring_2356 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_sym_2464 ∷ T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_2466 ∷ T_Semiring_2356 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_semiringWithoutAnnihilatingZero_2474 ∷ T_Level_18 → T_Level_18 → T_Semiring_2356 → T_SemiringWithoutAnnihilatingZero_2204 Source #
du_semiringWithoutAnnihilatingZero_2474 ∷ T_Semiring_2356 → T_SemiringWithoutAnnihilatingZero_2204 Source #
d__'8777'__2478 ∷ T_Level_18 → T_Level_18 → T_Semiring_2356 → AgdaAny → AgdaAny → () Source #
d_commutativeMagma_2490 ∷ T_Level_18 → T_Level_18 → T_Semiring_2356 → T_CommutativeMagma_190 Source #
d_'43''45'commutativeMonoid_2492 ∷ T_Level_18 → T_Level_18 → T_Semiring_2356 → T_CommutativeMonoid_996 Source #
d_commutativeSemigroup_2494 ∷ T_Level_18 → T_Level_18 → T_Semiring_2356 → T_CommutativeSemigroup_688 Source #
d_semiringWithoutOne_2512 ∷ T_Level_18 → T_Level_18 → T_Semiring_2356 → T_SemiringWithoutOne_1930 Source #
d_CommutativeSemiring_2524 ∷ p → p → () Source #
data T_CommutativeSemiring_2524 Source #
Constructors
| C_constructor_2706 (AgdaAny → AgdaAny → AgdaAny) (AgdaAny → AgdaAny → AgdaAny) AgdaAny AgdaAny T_IsCommutativeSemiring_1750 |
d__'8776'__2546 ∷ T_CommutativeSemiring_2524 → AgdaAny → AgdaAny → () Source #
d_'42''45'cong_2564 ∷ T_CommutativeSemiring_2524 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_2566 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_2566 ∷ T_CommutativeSemiring_2524 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_2568 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_2568 ∷ T_CommutativeSemiring_2524 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_identity'691'_2572 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → AgdaAny → AgdaAny Source #
d_identity'737'_2574 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → AgdaAny → AgdaAny Source #
d_isCommutativeMagma_2576 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_IsCommutativeMagma_214 Source #
d_'42''45'isCommutativeMonoid_2578 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_IsCommutativeMonoid_764 Source #
du_'42''45'isCommutativeMonoid_2578 ∷ T_CommutativeSemiring_2524 → T_IsCommutativeMonoid_764 Source #
d_'42''45'isCommutativeSemigroup_2580 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_IsCommutativeSemigroup_568 Source #
du_'42''45'isCommutativeSemigroup_2580 ∷ T_CommutativeSemiring_2524 → T_IsCommutativeSemigroup_568 Source #
d_'42''45'isMagma_2582 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_IsMagma_178 Source #
d_'42''45'isMonoid_2584 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_IsMonoid_712 Source #
d_'42''45'isSemigroup_2586 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_IsSemigroup_488 Source #
d_'8729''45'cong_2592 ∷ T_CommutativeSemiring_2524 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_2594 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_2594 ∷ T_CommutativeSemiring_2524 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_2596 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_2596 ∷ T_CommutativeSemiring_2524 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_identity'691'_2600 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → AgdaAny → AgdaAny Source #
d_identity'737'_2602 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → AgdaAny → AgdaAny Source #
d_isCommutativeMagma_2604 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_IsCommutativeMagma_214 Source #
d_'43''45'isCommutativeMonoid_2606 ∷ T_CommutativeSemiring_2524 → T_IsCommutativeMonoid_764 Source #
d_isCommutativeSemigroup_2608 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_IsCommutativeSemigroup_568 Source #
d_isUnitalMagma_2616 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_IsUnitalMagma_666 Source #
d_distrib'691'_2620 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_distrib'737'_2622 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isCommutativeSemiringWithoutOne_2624 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_IsCommutativeSemiringWithoutOne_1438 Source #
du_isCommutativeSemiringWithoutOne_2624 ∷ T_CommutativeSemiring_2524 → T_IsCommutativeSemiringWithoutOne_1438 Source #
d_isNearSemiring_2628 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_IsNearSemiring_1260 Source #
d_isPartialEquivalence_2630 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_IsPartialEquivalence_16 Source #
d_isSemiringWithoutAnnihilatingZero_2634 ∷ T_CommutativeSemiring_2524 → T_IsSemiringWithoutAnnihilatingZero_1536 Source #
d_isSemiringWithoutOne_2636 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_IsSemiringWithoutOne_1342 Source #
d_reflexive_2640 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
du_reflexive_2640 ∷ T_CommutativeSemiring_2524 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_2646 ∷ T_CommutativeSemiring_2524 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_zero'691'_2650 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → AgdaAny → AgdaAny Source #
d_zero'737'_2652 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → AgdaAny → AgdaAny Source #
d__'8777'__2658 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → AgdaAny → AgdaAny → () Source #
d_'42''45'monoid_2662 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_Monoid_914 Source #
d_commutativeMagma_2670 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_CommutativeMagma_190 Source #
d_'43''45'commutativeMonoid_2672 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_CommutativeMonoid_996 Source #
d_commutativeSemigroup_2674 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_CommutativeSemigroup_688 Source #
d_unitalMagma_2686 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_UnitalMagma_844 Source #
d_nearSemiring_2688 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_NearSemiring_1814 Source #
d_rawSemiring_2690 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_RawSemiring_190 Source #
d_semiringWithoutAnnihilatingZero_2692 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_SemiringWithoutAnnihilatingZero_2204 Source #
du_semiringWithoutAnnihilatingZero_2692 ∷ T_CommutativeSemiring_2524 → T_SemiringWithoutAnnihilatingZero_2204 Source #
d_semiringWithoutOne_2694 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_SemiringWithoutOne_1930 Source #
d_'42''45'commutativeMonoid_2696 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_CommutativeMonoid_996 Source #
d_commutativeMagma_2700 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_CommutativeMagma_190 Source #
d_commutativeSemigroup_2702 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_CommutativeSemigroup_688 Source #
d_commutativeSemiringWithoutOne_2704 ∷ T_Level_18 → T_Level_18 → T_CommutativeSemiring_2524 → T_CommutativeSemiringWithoutOne_2064 Source #
du_commutativeSemiringWithoutOne_2704 ∷ T_CommutativeSemiring_2524 → T_CommutativeSemiringWithoutOne_2064 Source #
d_CancellativeCommutativeSemiring_2712 ∷ p → p → () Source #
data T_CancellativeCommutativeSemiring_2712 Source #
Constructors
| C_constructor_2898 (AgdaAny → AgdaAny → AgdaAny) (AgdaAny → AgdaAny → AgdaAny) AgdaAny AgdaAny T_IsCancellativeCommutativeSemiring_1872 |
d_isCancellativeCommutativeSemiring_2744 ∷ T_CancellativeCommutativeSemiring_2712 → T_IsCancellativeCommutativeSemiring_1872 Source #
d_'42''45'assoc_2748 ∷ T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'cancel'691''45'nonZero_2750 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → (AgdaAny → T_Irrelevant_20) → AgdaAny → AgdaAny Source #
du_'42''45'cancel'691''45'nonZero_2750 ∷ T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → (AgdaAny → T_Irrelevant_20) → AgdaAny → AgdaAny Source #
d_'42''45'cancel'737''45'nonZero_2752 ∷ T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → (AgdaAny → T_Irrelevant_20) → AgdaAny → AgdaAny Source #
d_'42''45'cong_2756 ∷ T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_2758 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_2758 ∷ T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_2760 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_2760 ∷ T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_identity'691'_2764 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny Source #
d_identity'737'_2766 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny Source #
d_isCommutativeMagma_2768 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_IsCommutativeMagma_214 Source #
du_isCommutativeMagma_2768 ∷ T_CancellativeCommutativeSemiring_2712 → T_IsCommutativeMagma_214 Source #
d_'42''45'isCommutativeMonoid_2770 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_IsCommutativeMonoid_764 Source #
du_'42''45'isCommutativeMonoid_2770 ∷ T_CancellativeCommutativeSemiring_2712 → T_IsCommutativeMonoid_764 Source #
d_'42''45'isCommutativeSemigroup_2772 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_IsCommutativeSemigroup_568 Source #
du_'42''45'isCommutativeSemigroup_2772 ∷ T_CancellativeCommutativeSemiring_2712 → T_IsCommutativeSemigroup_568 Source #
d_'42''45'isMagma_2774 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_IsMagma_178 Source #
d_'42''45'isMonoid_2776 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_IsMonoid_712 Source #
d_'42''45'isSemigroup_2778 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_IsSemigroup_488 Source #
d_assoc_2780 ∷ T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_2784 ∷ T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_2786 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_2786 ∷ T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_2788 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_2788 ∷ T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_identity'691'_2792 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny Source #
d_identity'737'_2794 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny Source #
d_isCommutativeMagma_2796 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_IsCommutativeMagma_214 Source #
du_isCommutativeMagma_2796 ∷ T_CancellativeCommutativeSemiring_2712 → T_IsCommutativeMagma_214 Source #
d_'43''45'isCommutativeMonoid_2798 ∷ T_CancellativeCommutativeSemiring_2712 → T_IsCommutativeMonoid_764 Source #
d_isCommutativeSemigroup_2800 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_IsCommutativeSemigroup_568 Source #
du_isCommutativeSemigroup_2800 ∷ T_CancellativeCommutativeSemiring_2712 → T_IsCommutativeSemigroup_568 Source #
d_isUnitalMagma_2808 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_IsUnitalMagma_666 Source #
d_distrib'691'_2812 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_distrib'691'_2812 ∷ T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_distrib'737'_2814 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_distrib'737'_2814 ∷ T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isCommutativeSemiring_2816 ∷ T_CancellativeCommutativeSemiring_2712 → T_IsCommutativeSemiring_1750 Source #
d_isCommutativeSemiringWithoutOne_2818 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_IsCommutativeSemiringWithoutOne_1438 Source #
du_isCommutativeSemiringWithoutOne_2818 ∷ T_CancellativeCommutativeSemiring_2712 → T_IsCommutativeSemiringWithoutOne_1438 Source #
d_isNearSemiring_2822 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_IsNearSemiring_1260 Source #
d_isPartialEquivalence_2824 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_IsPartialEquivalence_16 Source #
du_isPartialEquivalence_2824 ∷ T_CancellativeCommutativeSemiring_2712 → T_IsPartialEquivalence_16 Source #
d_isSemiringWithoutAnnihilatingZero_2828 ∷ T_CancellativeCommutativeSemiring_2712 → T_IsSemiringWithoutAnnihilatingZero_1536 Source #
d_isSemiringWithoutOne_2830 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_IsSemiringWithoutOne_1342 Source #
du_isSemiringWithoutOne_2830 ∷ T_CancellativeCommutativeSemiring_2712 → T_IsSemiringWithoutOne_1342 Source #
d_reflexive_2834 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
du_reflexive_2834 ∷ T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_setoid_2836 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_Setoid_46 Source #
d_sym_2838 ∷ T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_2840 ∷ T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_zero'691'_2844 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny Source #
d_zero'737'_2846 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny Source #
d_commutativeSemiring_2848 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_CommutativeSemiring_2524 Source #
du_commutativeSemiring_2848 ∷ T_CancellativeCommutativeSemiring_2712 → T_CommutativeSemiring_2524 Source #
d__'8777'__2852 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → AgdaAny → AgdaAny → () Source #
d_commutativeMagma_2854 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_CommutativeMagma_190 Source #
d_'42''45'commutativeMonoid_2856 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_CommutativeMonoid_996 Source #
du_'42''45'commutativeMonoid_2856 ∷ T_CancellativeCommutativeSemiring_2712 → T_CommutativeMonoid_996 Source #
d_commutativeSemigroup_2858 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_CommutativeSemigroup_688 Source #
du_commutativeSemigroup_2858 ∷ T_CancellativeCommutativeSemiring_2712 → T_CommutativeSemigroup_688 Source #
d_magma_2860 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_Magma_74 Source #
d_'42''45'monoid_2862 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_Monoid_914 Source #
d_rawMagma_2864 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_RawMagma_44 Source #
d_rawMonoid_2866 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_RawMonoid_74 Source #
d_semigroup_2868 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_Semigroup_558 Source #
d_commutativeMagma_2870 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_CommutativeMagma_190 Source #
d_'43''45'commutativeMonoid_2872 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_CommutativeMonoid_996 Source #
du_'43''45'commutativeMonoid_2872 ∷ T_CancellativeCommutativeSemiring_2712 → T_CommutativeMonoid_996 Source #
d_commutativeSemigroup_2874 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_CommutativeSemigroup_688 Source #
du_commutativeSemigroup_2874 ∷ T_CancellativeCommutativeSemiring_2712 → T_CommutativeSemigroup_688 Source #
d_magma_2876 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_Magma_74 Source #
d_monoid_2878 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_Monoid_914 Source #
d_rawMagma_2880 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_RawMagma_44 Source #
d_rawMonoid_2882 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_RawMonoid_74 Source #
d_semigroup_2884 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_Semigroup_558 Source #
d_unitalMagma_2886 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_UnitalMagma_844 Source #
d_nearSemiring_2888 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_NearSemiring_1814 Source #
d_rawSemiring_2890 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_RawSemiring_190 Source #
d_semiring_2892 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_Semiring_2356 Source #
d_semiringWithoutAnnihilatingZero_2894 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_SemiringWithoutAnnihilatingZero_2204 Source #
du_semiringWithoutAnnihilatingZero_2894 ∷ T_CancellativeCommutativeSemiring_2712 → T_SemiringWithoutAnnihilatingZero_2204 Source #
d_semiringWithoutOne_2896 ∷ T_Level_18 → T_Level_18 → T_CancellativeCommutativeSemiring_2712 → T_SemiringWithoutOne_1930 Source #
du_semiringWithoutOne_2896 ∷ T_CancellativeCommutativeSemiring_2712 → T_SemiringWithoutOne_1930 Source #
d_IdempotentSemiring_2904 ∷ p → p → () Source #
data T_IdempotentSemiring_2904 Source #
Constructors
| C_constructor_3086 (AgdaAny → AgdaAny → AgdaAny) (AgdaAny → AgdaAny → AgdaAny) AgdaAny AgdaAny T_IsIdempotentSemiring_1998 |
d__'8776'__2926 ∷ T_IdempotentSemiring_2904 → AgdaAny → AgdaAny → () Source #
d_'42''45'cong_2942 ∷ T_IdempotentSemiring_2904 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_2944 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_2944 ∷ T_IdempotentSemiring_2904 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_2946 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_2946 ∷ T_IdempotentSemiring_2904 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_identity'691'_2950 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → AgdaAny → AgdaAny Source #
d_identity'737'_2952 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → AgdaAny → AgdaAny Source #
d_'42''45'isMagma_2954 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_IsMagma_178 Source #
d_'42''45'isMonoid_2956 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_IsMonoid_712 Source #
d_'42''45'isSemigroup_2958 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_IsSemigroup_488 Source #
d_'8729''45'cong_2964 ∷ T_IdempotentSemiring_2904 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_2966 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_2966 ∷ T_IdempotentSemiring_2904 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_2968 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_2968 ∷ T_IdempotentSemiring_2904 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_identity'691'_2974 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → AgdaAny → AgdaAny Source #
d_identity'737'_2976 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → AgdaAny → AgdaAny Source #
d_isCommutativeBand_2980 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_IsCommutativeBand_612 Source #
d_isCommutativeMagma_2982 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_IsCommutativeMagma_214 Source #
d_isCommutativeSemigroup_2986 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_IsCommutativeSemigroup_568 Source #
d_'43''45'isIdempotentCommutativeMonoid_2988 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_IsIdempotentCommutativeMonoid_884 Source #
du_'43''45'isIdempotentCommutativeMonoid_2988 ∷ T_IdempotentSemiring_2904 → T_IsIdempotentCommutativeMonoid_884 Source #
d_isIdempotentMonoid_2990 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_IsIdempotentMonoid_826 Source #
d_isUnitalMagma_2998 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_IsUnitalMagma_666 Source #
d_distrib'691'_3002 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_distrib'737'_3004 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isNearSemiring_3008 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_IsNearSemiring_1260 Source #
d_isPartialEquivalence_3010 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_IsPartialEquivalence_16 Source #
d_isSemiringWithoutAnnihilatingZero_3014 ∷ T_IdempotentSemiring_2904 → T_IsSemiringWithoutAnnihilatingZero_1536 Source #
d_isSemiringWithoutOne_3016 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_IsSemiringWithoutOne_1342 Source #
d_reflexive_3020 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
du_reflexive_3020 ∷ T_IdempotentSemiring_2904 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_3026 ∷ T_IdempotentSemiring_2904 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__3038 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → AgdaAny → AgdaAny → () Source #
d_commutativeMagma_3050 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_CommutativeMagma_190 Source #
d_'43''45'commutativeMonoid_3052 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_CommutativeMonoid_996 Source #
d_commutativeSemigroup_3054 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_CommutativeSemigroup_688 Source #
d_unitalMagma_3066 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_UnitalMagma_844 Source #
d_nearSemiring_3068 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_NearSemiring_1814 Source #
d_rawSemiring_3070 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_RawSemiring_190 Source #
d_semiringWithoutAnnihilatingZero_3072 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_SemiringWithoutAnnihilatingZero_2204 Source #
du_semiringWithoutAnnihilatingZero_3072 ∷ T_IdempotentSemiring_2904 → T_SemiringWithoutAnnihilatingZero_2204 Source #
d_semiringWithoutOne_3074 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_SemiringWithoutOne_1930 Source #
d_'43''45'idempotentCommutativeMonoid_3076 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_IdempotentCommutativeMonoid_1186 Source #
du_'43''45'idempotentCommutativeMonoid_3076 ∷ T_IdempotentSemiring_2904 → T_IdempotentCommutativeMonoid_1186 Source #
d_commutativeBand_3082 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_CommutativeBand_760 Source #
d_idempotentMonoid_3084 ∷ T_Level_18 → T_Level_18 → T_IdempotentSemiring_2904 → T_IdempotentMonoid_1094 Source #
d_KleeneAlgebra_3092 ∷ p → p → () Source #
data T_KleeneAlgebra_3092 Source #
d__'8776'__3116 ∷ T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → () Source #
d_'42''45'cong_3134 ∷ T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_3136 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_3136 ∷ T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_3138 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_3138 ∷ T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'isSemigroup_3150 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → T_IsSemigroup_488 Source #
d_assoc_3152 ∷ T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_3156 ∷ T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_3158 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_3158 ∷ T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_3160 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_3160 ∷ T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isCommutativeBand_3172 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → T_IsCommutativeBand_612 Source #
d_isCommutativeMagma_3174 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → T_IsCommutativeMagma_214 Source #
d_isCommutativeSemigroup_3178 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → T_IsCommutativeSemigroup_568 Source #
d_'43''45'isIdempotentCommutativeMonoid_3180 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → T_IsIdempotentCommutativeMonoid_884 Source #
du_'43''45'isIdempotentCommutativeMonoid_3180 ∷ T_KleeneAlgebra_3092 → T_IsIdempotentCommutativeMonoid_884 Source #
d_isIdempotentMonoid_3182 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → T_IsIdempotentMonoid_826 Source #
d_isUnitalMagma_3190 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → T_IsUnitalMagma_666 Source #
d_distrib'691'_3194 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_distrib'737'_3196 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isNearSemiring_3202 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → T_IsNearSemiring_1260 Source #
d_isPartialEquivalence_3204 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → T_IsPartialEquivalence_16 Source #
d_isSemiringWithoutAnnihilatingZero_3208 ∷ T_KleeneAlgebra_3092 → T_IsSemiringWithoutAnnihilatingZero_1536 Source #
d_isSemiringWithoutOne_3210 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → T_IsSemiringWithoutOne_1342 Source #
d_reflexive_3214 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_starDestructive'691'_3220 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_starDestructive'691'_3220 ∷ T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_starDestructive'737'_3222 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_starDestructive'737'_3222 ∷ T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_starExpansive'691'_3226 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → AgdaAny → AgdaAny Source #
d_starExpansive'737'_3228 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → AgdaAny → AgdaAny Source #
d_sym_3230 ∷ T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_3232 ∷ T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_idempotentSemiring_3240 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → T_IdempotentSemiring_2904 Source #
d__'8777'__3244 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → AgdaAny → AgdaAny → () Source #
d_commutativeMagma_3256 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → T_CommutativeMagma_190 Source #
d_'43''45'commutativeMonoid_3258 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → T_CommutativeMonoid_996 Source #
d_commutativeSemigroup_3260 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → T_CommutativeSemigroup_688 Source #
d_semiringWithoutAnnihilatingZero_3280 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → T_SemiringWithoutAnnihilatingZero_2204 Source #
du_semiringWithoutAnnihilatingZero_3280 ∷ T_KleeneAlgebra_3092 → T_SemiringWithoutAnnihilatingZero_2204 Source #
d_semiringWithoutOne_3282 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → T_SemiringWithoutOne_1930 Source #
d_rawKleeneAlgebra_3284 ∷ T_Level_18 → T_Level_18 → T_KleeneAlgebra_3092 → T_RawKleeneAlgebra_440 Source #
d_Quasiring_3292 ∷ p → p → () Source #
data T_Quasiring_3292 Source #
Constructors
| C_constructor_3428 (AgdaAny → AgdaAny → AgdaAny) (AgdaAny → AgdaAny → AgdaAny) AgdaAny AgdaAny T_IsQuasiring_2260 |
d_Carrier_3312 ∷ T_Quasiring_3292 → () Source #
d__'8776'__3314 ∷ T_Quasiring_3292 → AgdaAny → AgdaAny → () Source #
d_'42''45'cong_3330 ∷ T_Quasiring_3292 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_3332 ∷ T_Level_18 → T_Level_18 → T_Quasiring_3292 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_3332 ∷ T_Quasiring_3292 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_3334 ∷ T_Level_18 → T_Level_18 → T_Quasiring_3292 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_3334 ∷ T_Quasiring_3292 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'isSemigroup_3346 ∷ T_Level_18 → T_Level_18 → T_Quasiring_3292 → T_IsSemigroup_488 Source #
d_assoc_3348 ∷ T_Quasiring_3292 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_3350 ∷ T_Quasiring_3292 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_3352 ∷ T_Level_18 → T_Level_18 → T_Quasiring_3292 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_3352 ∷ T_Quasiring_3292 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_3354 ∷ T_Level_18 → T_Level_18 → T_Quasiring_3292 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_3354 ∷ T_Quasiring_3292 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_distrib'691'_3372 ∷ T_Level_18 → T_Level_18 → T_Quasiring_3292 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_distrib'737'_3374 ∷ T_Level_18 → T_Level_18 → T_Quasiring_3292 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_3382 ∷ T_Level_18 → T_Level_18 → T_Quasiring_3292 → T_IsPartialEquivalence_16 Source #
d_reflexive_3386 ∷ T_Level_18 → T_Level_18 → T_Quasiring_3292 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_sym_3390 ∷ T_Quasiring_3292 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_3392 ∷ T_Quasiring_3292 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__3404 ∷ T_Level_18 → T_Level_18 → T_Quasiring_3292 → AgdaAny → AgdaAny → () Source #
d_RingWithoutOne_3434 ∷ p → p → () Source #
data T_RingWithoutOne_3434 Source #
d__'8776'__3456 ∷ T_RingWithoutOne_3434 → AgdaAny → AgdaAny → () Source #
d__'47''47'__3470 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'cong_3474 ∷ T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_3476 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_3476 ∷ T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_3478 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_3478 ∷ T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'isSemigroup_3482 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → T_IsSemigroup_488 Source #
d_assoc_3484 ∷ T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_3488 ∷ T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_3490 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_3490 ∷ T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_3492 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_3492 ∷ T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isCommutativeMagma_3502 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → T_IsCommutativeMagma_214 Source #
d_isCommutativeMonoid_3504 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → T_IsCommutativeMonoid_764 Source #
d_isCommutativeSemigroup_3506 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → T_IsCommutativeSemigroup_568 Source #
d_isInvertibleMagma_3510 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → T_IsInvertibleMagma_958 Source #
d_isInvertibleUnitalMagma_3512 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → T_IsInvertibleUnitalMagma_1012 Source #
d_isUnitalMagma_3520 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → T_IsUnitalMagma_666 Source #
d_distrib'691'_3532 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_distrib'737'_3534 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isNearSemiring_3538 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → T_IsNearSemiring_1260 Source #
d_isPartialEquivalence_3540 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → T_IsPartialEquivalence_16 Source #
d_reflexive_3544 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_sym_3548 ∷ T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_3550 ∷ T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_unique'691''45''8315''185'_3552 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_unique'691''45''8315''185'_3552 ∷ T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_unique'737''45''8315''185'_3554 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_unique'737''45''8315''185'_3554 ∷ T_RingWithoutOne_3434 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_nearSemiring_3562 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → T_NearSemiring_1814 Source #
d_'42''45'semigroup_3568 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → T_Semigroup_558 Source #
d_'43''45'abelianGroup_3570 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → T_AbelianGroup_1682 Source #
d_invertibleMagma_3576 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → T_InvertibleMagma_1400 Source #
d_invertibleUnitalMagma_3578 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → T_InvertibleUnitalMagma_1476 Source #
d_rawRingWithoutOne_3580 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → T_RawRingWithoutOne_240 Source #
d_rawNearSemiring_3588 ∷ T_Level_18 → T_Level_18 → T_RingWithoutOne_3434 → T_RawNearSemiring_148 Source #
d_NonAssociativeRing_3596 ∷ p → p → () Source #
d__'8776'__3620 ∷ T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → () Source #
d__'47''47'__3636 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'cong_3638 ∷ T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_3640 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_3640 ∷ T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_3642 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_3642 ∷ T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'identity'691'_3646 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → AgdaAny → AgdaAny Source #
d_'42''45'identity'737'_3648 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → AgdaAny → AgdaAny Source #
d_'42''45'isMagma_3650 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → T_IsMagma_178 Source #
d_'42''45'isUnitalMagma_3652 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → T_IsUnitalMagma_666 Source #
d_'8729''45'cong_3658 ∷ T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_3660 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_3660 ∷ T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_3662 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_3662 ∷ T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_identity'691'_3666 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → AgdaAny → AgdaAny Source #
d_identity'737'_3668 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → AgdaAny → AgdaAny Source #
d_isCommutativeMagma_3672 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → T_IsCommutativeMagma_214 Source #
d_isCommutativeMonoid_3674 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → T_IsCommutativeMonoid_764 Source #
d_isCommutativeSemigroup_3676 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → T_IsCommutativeSemigroup_568 Source #
d_isInvertibleMagma_3680 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → T_IsInvertibleMagma_958 Source #
d_isInvertibleUnitalMagma_3682 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → T_IsInvertibleUnitalMagma_1012 Source #
du_isInvertibleUnitalMagma_3682 ∷ T_NonAssociativeRing_3596 → T_IsInvertibleUnitalMagma_1012 Source #
d_isUnitalMagma_3690 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → T_IsUnitalMagma_666 Source #
d_'8315''185''45'cong_3692 ∷ T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_inverse'691'_3696 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → AgdaAny → AgdaAny Source #
d_inverse'737'_3698 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → AgdaAny → AgdaAny Source #
d_distrib'691'_3702 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_distrib'737'_3704 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_3708 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → T_IsPartialEquivalence_16 Source #
d_reflexive_3712 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
du_reflexive_3712 ∷ T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_trans_3718 ∷ T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_unique'691''45''8315''185'_3720 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_unique'691''45''8315''185'_3720 ∷ T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_unique'737''45''8315''185'_3722 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_unique'737''45''8315''185'_3722 ∷ T_NonAssociativeRing_3596 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'43''45'abelianGroup_3730 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → T_AbelianGroup_1682 Source #
d_invertibleMagma_3736 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → T_InvertibleMagma_1400 Source #
d_invertibleUnitalMagma_3738 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → T_InvertibleUnitalMagma_1476 Source #
d_'42''45'unitalMagma_3740 ∷ T_Level_18 → T_Level_18 → T_NonAssociativeRing_3596 → T_UnitalMagma_844 Source #
d_Nearring_3754 ∷ p → p → () Source #
data T_Nearring_3754 Source #
d_Carrier_3776 ∷ T_Nearring_3754 → () Source #
d__'8776'__3778 ∷ T_Nearring_3754 → AgdaAny → AgdaAny → () Source #
d__'43'__3780 ∷ T_Nearring_3754 → AgdaAny → AgdaAny → AgdaAny Source #
d__'42'__3782 ∷ T_Nearring_3754 → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'cong_3796 ∷ T_Nearring_3754 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_3798 ∷ T_Level_18 → T_Level_18 → T_Nearring_3754 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_3798 ∷ T_Nearring_3754 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_3800 ∷ T_Level_18 → T_Level_18 → T_Nearring_3754 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_3800 ∷ T_Nearring_3754 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_assoc_3814 ∷ T_Nearring_3754 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_3816 ∷ T_Nearring_3754 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_3818 ∷ T_Level_18 → T_Level_18 → T_Nearring_3754 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_3818 ∷ T_Nearring_3754 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_3820 ∷ T_Level_18 → T_Level_18 → T_Nearring_3754 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_3820 ∷ T_Nearring_3754 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'43''45'inverse'691'_3830 ∷ T_Level_18 → T_Level_18 → T_Nearring_3754 → AgdaAny → AgdaAny Source #
d_'43''45'inverse'737'_3832 ∷ T_Level_18 → T_Level_18 → T_Nearring_3754 → AgdaAny → AgdaAny Source #
d_distrib'691'_3844 ∷ T_Level_18 → T_Level_18 → T_Nearring_3754 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_distrib'737'_3846 ∷ T_Level_18 → T_Level_18 → T_Nearring_3754 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_3854 ∷ T_Level_18 → T_Level_18 → T_Nearring_3754 → T_IsPartialEquivalence_16 Source #
d_reflexive_3860 ∷ T_Level_18 → T_Level_18 → T_Nearring_3754 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_sym_3864 ∷ T_Nearring_3754 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_3866 ∷ T_Nearring_3754 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__3880 ∷ T_Level_18 → T_Level_18 → T_Nearring_3754 → AgdaAny → AgdaAny → () Source #
d_Ring_3908 ∷ p → p → () Source #
data T_Ring_3908 Source #
d_Carrier_3930 ∷ T_Ring_3908 → () Source #
d__'8776'__3932 ∷ T_Ring_3908 → AgdaAny → AgdaAny → () Source #
d__'43'__3934 ∷ T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny Source #
d__'42'__3936 ∷ T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny Source #
d_'45'__3938 ∷ T_Ring_3908 → AgdaAny → AgdaAny Source #
d__'47''47'__3948 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'assoc_3950 ∷ T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'cong_3952 ∷ T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_3954 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_3954 ∷ T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_3956 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_3956 ∷ T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_assoc_3970 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_assoc_3970 ∷ T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_comm_3972 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny Source #
du_comm_3972 ∷ T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_3974 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong_3974 ∷ T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_3976 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_3976 ∷ T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_3978 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_3978 ∷ T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isCommutativeMagma_3988 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → T_IsCommutativeMagma_214 Source #
d_isCommutativeMonoid_3990 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → T_IsCommutativeMonoid_764 Source #
d_isCommutativeSemigroup_3992 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → T_IsCommutativeSemigroup_568 Source #
d_isInvertibleUnitalMagma_3998 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → T_IsInvertibleUnitalMagma_1012 Source #
d_'8315''185''45'cong_4008 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_distrib'691'_4018 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_distrib'691'_4018 ∷ T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_distrib'737'_4020 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_distrib'737'_4020 ∷ T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_4026 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → T_IsPartialEquivalence_16 Source #
d_isSemiringWithoutAnnihilatingZero_4032 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → T_IsSemiringWithoutAnnihilatingZero_1536 Source #
du_isSemiringWithoutAnnihilatingZero_4032 ∷ T_Ring_3908 → T_IsSemiringWithoutAnnihilatingZero_1536 Source #
d_isSemiringWithoutOne_4034 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → T_IsSemiringWithoutOne_1342 Source #
d_refl_4036 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny Source #
du_refl_4036 ∷ T_Ring_3908 → AgdaAny → AgdaAny Source #
d_reflexive_4038 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_sym_4042 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_sym_4042 ∷ T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_4044 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_trans_4044 ∷ T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_unique'691''45''8315''185'_4046 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_unique'737''45''8315''185'_4048 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_zero_4050 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → T_Σ_14 Source #
d_zero'691'_4052 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny Source #
d_zero'737'_4054 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny Source #
d__'8777'__4064 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → AgdaAny → AgdaAny → () Source #
d_'43''45'commutativeMonoid_4078 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → T_CommutativeMonoid_996 Source #
d_commutativeSemigroup_4080 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → T_CommutativeSemigroup_688 Source #
d_semiringWithoutAnnihilatingZero_4096 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → T_SemiringWithoutAnnihilatingZero_2204 Source #
du_semiringWithoutAnnihilatingZero_4096 ∷ T_Ring_3908 → T_SemiringWithoutAnnihilatingZero_2204 Source #
d_semiringWithoutOne_4098 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → T_SemiringWithoutOne_1930 Source #
d_invertibleUnitalMagma_4110 ∷ T_Level_18 → T_Level_18 → T_Ring_3908 → T_InvertibleUnitalMagma_1476 Source #
d_CommutativeRing_4126 ∷ p → p → () Source #
d__'8776'__4150 ∷ T_CommutativeRing_4126 → AgdaAny → AgdaAny → () Source #
d__'47''47'__4166 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'cong_4172 ∷ T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_4174 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_4174 ∷ T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_4176 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_4176 ∷ T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_identity'691'_4180 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny Source #
d_identity'737'_4182 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny Source #
d_isCommutativeMagma_4184 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsCommutativeMagma_214 Source #
d_'42''45'isCommutativeMonoid_4186 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsCommutativeMonoid_764 Source #
d_'42''45'isCommutativeSemigroup_4188 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsCommutativeSemigroup_568 Source #
du_'42''45'isCommutativeSemigroup_4188 ∷ T_CommutativeRing_4126 → T_IsCommutativeSemigroup_568 Source #
d_'42''45'isMonoid_4192 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsMonoid_712 Source #
d_'42''45'isSemigroup_4194 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsSemigroup_488 Source #
d_assoc_4196 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_comm_4198 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_4200 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong_4200 ∷ T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_4202 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_4202 ∷ T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_4204 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_4204 ∷ T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_identity'691'_4208 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny Source #
d_identity'737'_4210 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny Source #
d_isCommutativeMagma_4214 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsCommutativeMagma_214 Source #
d_isCommutativeMonoid_4216 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsCommutativeMonoid_764 Source #
d_isCommutativeSemigroup_4218 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsCommutativeSemigroup_568 Source #
d_isInvertibleMagma_4222 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsInvertibleMagma_958 Source #
d_isInvertibleUnitalMagma_4224 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsInvertibleUnitalMagma_1012 Source #
d_isUnitalMagma_4232 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsUnitalMagma_666 Source #
d_'8315''185''45'cong_4234 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8315''185''45'cong_4234 ∷ T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_distrib'691'_4244 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_distrib'737'_4246 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isCommutativeSemiring_4248 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsCommutativeSemiring_1750 Source #
d_isCommutativeSemiringWithoutOne_4250 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsCommutativeSemiringWithoutOne_1438 Source #
du_isCommutativeSemiringWithoutOne_4250 ∷ T_CommutativeRing_4126 → T_IsCommutativeSemiringWithoutOne_1438 Source #
d_isEquivalence_4252 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsEquivalence_28 Source #
d_isNearSemiring_4254 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsNearSemiring_1260 Source #
d_isPartialEquivalence_4256 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsPartialEquivalence_16 Source #
d_isRingWithoutOne_4260 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsRingWithoutOne_2368 Source #
d_isSemiringWithoutAnnihilatingZero_4264 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsSemiringWithoutAnnihilatingZero_1536 Source #
du_isSemiringWithoutAnnihilatingZero_4264 ∷ T_CommutativeRing_4126 → T_IsSemiringWithoutAnnihilatingZero_1536 Source #
d_isSemiringWithoutOne_4266 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_IsSemiringWithoutOne_1342 Source #
d_reflexive_4270 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_sym_4274 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_sym_4274 ∷ T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_4276 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_trans_4276 ∷ T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_unique'691''45''8315''185'_4278 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_unique'691''45''8315''185'_4278 ∷ T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_unique'737''45''8315''185'_4280 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_unique'737''45''8315''185'_4280 ∷ T_CommutativeRing_4126 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__4292 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → AgdaAny → AgdaAny → () Source #
d_'43''45'abelianGroup_4294 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_AbelianGroup_1682 Source #
d_invertibleMagma_4298 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_InvertibleMagma_1400 Source #
d_invertibleUnitalMagma_4300 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_InvertibleUnitalMagma_1476 Source #
d_commutativeSemiring_4304 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_CommutativeSemiring_2524 Source #
d_commutativeMagma_4308 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_CommutativeMagma_190 Source #
d_'42''45'commutativeMonoid_4310 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_CommutativeMonoid_996 Source #
d_commutativeSemigroup_4312 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_CommutativeSemigroup_688 Source #
d_commutativeMagma_4324 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_CommutativeMagma_190 Source #
d_'43''45'commutativeMonoid_4326 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_CommutativeMonoid_996 Source #
d_commutativeSemigroup_4328 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_CommutativeSemigroup_688 Source #
d_commutativeSemiringWithoutOne_4342 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_CommutativeSemiringWithoutOne_2064 Source #
du_commutativeSemiringWithoutOne_4342 ∷ T_CommutativeRing_4126 → T_CommutativeSemiringWithoutOne_2064 Source #
d_nearSemiring_4344 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_NearSemiring_1814 Source #
d_semiringWithoutAnnihilatingZero_4348 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_SemiringWithoutAnnihilatingZero_2204 Source #
du_semiringWithoutAnnihilatingZero_4348 ∷ T_CommutativeRing_4126 → T_SemiringWithoutAnnihilatingZero_2204 Source #
d_semiringWithoutOne_4350 ∷ T_Level_18 → T_Level_18 → T_CommutativeRing_4126 → T_SemiringWithoutOne_1930 Source #
d_Quasigroup_4358 ∷ p → p → () Source #
data T_Quasigroup_4358 Source #
d_Carrier_4376 ∷ T_Quasigroup_4358 → () Source #
d__'8776'__4378 ∷ T_Quasigroup_4358 → AgdaAny → AgdaAny → () Source #
d_'47''47''45'cong_4390 ∷ T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'47''47''45'cong'691'_4392 ∷ T_Level_18 → T_Level_18 → T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'47''47''45'cong'691'_4392 ∷ T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'47''47''45'cong'737'_4394 ∷ T_Level_18 → T_Level_18 → T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'47''47''45'cong'737'_4394 ∷ T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong_4396 ∷ T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong'691'_4398 ∷ T_Level_18 → T_Level_18 → T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'92''92''45'cong'691'_4398 ∷ T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong'737'_4400 ∷ T_Level_18 → T_Level_18 → T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'92''92''45'cong'737'_4400 ∷ T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_4406 ∷ T_Level_18 → T_Level_18 → T_Quasigroup_4358 → T_IsPartialEquivalence_16 Source #
d_leftDivides'691'_4410 ∷ T_Level_18 → T_Level_18 → T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny Source #
d_leftDivides'737'_4412 ∷ T_Level_18 → T_Level_18 → T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny Source #
d_reflexive_4416 ∷ T_Level_18 → T_Level_18 → T_Quasigroup_4358 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_rightDivides'691'_4420 ∷ T_Level_18 → T_Level_18 → T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny Source #
d_rightDivides'737'_4422 ∷ T_Level_18 → T_Level_18 → T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny Source #
d_sym_4426 ∷ T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_4428 ∷ T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_4430 ∷ T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_4432 ∷ T_Level_18 → T_Level_18 → T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_4432 ∷ T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_4434 ∷ T_Level_18 → T_Level_18 → T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_4434 ∷ T_Quasigroup_4358 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__4440 ∷ T_Level_18 → T_Level_18 → T_Quasigroup_4358 → AgdaAny → AgdaAny → () Source #
d_Loop_4460 ∷ p → p → () Source #
data T_Loop_4460 Source #
d_Carrier_4480 ∷ T_Loop_4460 → () Source #
d__'8776'__4482 ∷ T_Loop_4460 → AgdaAny → AgdaAny → () Source #
d__'8729'__4484 ∷ T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny Source #
d__'92''92'__4486 ∷ T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny Source #
d__'47''47'__4488 ∷ T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny Source #
d_'47''47''45'cong_4496 ∷ T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'47''47''45'cong'691'_4498 ∷ T_Level_18 → T_Level_18 → T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'47''47''45'cong'691'_4498 ∷ T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'47''47''45'cong'737'_4500 ∷ T_Level_18 → T_Level_18 → T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'47''47''45'cong'737'_4500 ∷ T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong_4502 ∷ T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong'691'_4504 ∷ T_Level_18 → T_Level_18 → T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'92''92''45'cong'691'_4504 ∷ T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong'737'_4506 ∷ T_Level_18 → T_Level_18 → T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'92''92''45'cong'737'_4506 ∷ T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_4518 ∷ T_Level_18 → T_Level_18 → T_Loop_4460 → T_IsPartialEquivalence_16 Source #
d_leftDivides'691'_4524 ∷ T_Level_18 → T_Level_18 → T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny Source #
d_leftDivides'737'_4526 ∷ T_Level_18 → T_Level_18 → T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny Source #
d_refl_4528 ∷ T_Loop_4460 → AgdaAny → AgdaAny Source #
d_reflexive_4530 ∷ T_Level_18 → T_Level_18 → T_Loop_4460 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_rightDivides'691'_4534 ∷ T_Level_18 → T_Level_18 → T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny Source #
d_rightDivides'737'_4536 ∷ T_Level_18 → T_Level_18 → T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny Source #
d_sym_4540 ∷ T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_4542 ∷ T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_4544 ∷ T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_4546 ∷ T_Level_18 → T_Level_18 → T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_4546 ∷ T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_4548 ∷ T_Level_18 → T_Level_18 → T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_4548 ∷ T_Loop_4460 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d__'8777'__4556 ∷ T_Level_18 → T_Level_18 → T_Loop_4460 → AgdaAny → AgdaAny → () Source #
d_LeftBolLoop_4570 ∷ p → p → () Source #
data T_LeftBolLoop_4570 Source #
d_Carrier_4590 ∷ T_LeftBolLoop_4570 → () Source #
d__'8776'__4592 ∷ T_LeftBolLoop_4570 → AgdaAny → AgdaAny → () Source #
d_'47''47''45'cong_4606 ∷ T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'47''47''45'cong'691'_4608 ∷ T_Level_18 → T_Level_18 → T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'47''47''45'cong'691'_4608 ∷ T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'47''47''45'cong'737'_4610 ∷ T_Level_18 → T_Level_18 → T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'47''47''45'cong'737'_4610 ∷ T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong_4612 ∷ T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong'691'_4614 ∷ T_Level_18 → T_Level_18 → T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'92''92''45'cong'691'_4614 ∷ T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong'737'_4616 ∷ T_Level_18 → T_Level_18 → T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'92''92''45'cong'737'_4616 ∷ T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_4630 ∷ T_Level_18 → T_Level_18 → T_LeftBolLoop_4570 → T_IsPartialEquivalence_16 Source #
d_leftBol_4634 ∷ T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_leftDivides'691'_4638 ∷ T_Level_18 → T_Level_18 → T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny Source #
d_leftDivides'737'_4640 ∷ T_Level_18 → T_Level_18 → T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny Source #
d_reflexive_4644 ∷ T_Level_18 → T_Level_18 → T_LeftBolLoop_4570 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_rightDivides'691'_4648 ∷ T_Level_18 → T_Level_18 → T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny Source #
d_rightDivides'737'_4650 ∷ T_Level_18 → T_Level_18 → T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny Source #
d_sym_4654 ∷ T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_4656 ∷ T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_4658 ∷ T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_4660 ∷ T_Level_18 → T_Level_18 → T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_4660 ∷ T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_4662 ∷ T_Level_18 → T_Level_18 → T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_4662 ∷ T_LeftBolLoop_4570 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_RightBolLoop_4676 ∷ p → p → () Source #
data T_RightBolLoop_4676 Source #
d_Carrier_4696 ∷ T_RightBolLoop_4676 → () Source #
d__'8776'__4698 ∷ T_RightBolLoop_4676 → AgdaAny → AgdaAny → () Source #
d_'47''47''45'cong_4712 ∷ T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'47''47''45'cong'691'_4714 ∷ T_Level_18 → T_Level_18 → T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'47''47''45'cong'691'_4714 ∷ T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'47''47''45'cong'737'_4716 ∷ T_Level_18 → T_Level_18 → T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'47''47''45'cong'737'_4716 ∷ T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong_4718 ∷ T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong'691'_4720 ∷ T_Level_18 → T_Level_18 → T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'92''92''45'cong'691'_4720 ∷ T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong'737'_4722 ∷ T_Level_18 → T_Level_18 → T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'92''92''45'cong'737'_4722 ∷ T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_4736 ∷ T_Level_18 → T_Level_18 → T_RightBolLoop_4676 → T_IsPartialEquivalence_16 Source #
d_leftDivides'691'_4742 ∷ T_Level_18 → T_Level_18 → T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny Source #
d_leftDivides'737'_4744 ∷ T_Level_18 → T_Level_18 → T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny Source #
d_reflexive_4748 ∷ T_Level_18 → T_Level_18 → T_RightBolLoop_4676 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_rightDivides'691'_4754 ∷ T_Level_18 → T_Level_18 → T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny Source #
d_rightDivides'737'_4756 ∷ T_Level_18 → T_Level_18 → T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny Source #
d_sym_4760 ∷ T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_4762 ∷ T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_4764 ∷ T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_4766 ∷ T_Level_18 → T_Level_18 → T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_4766 ∷ T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_4768 ∷ T_Level_18 → T_Level_18 → T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_4768 ∷ T_RightBolLoop_4676 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_MoufangLoop_4782 ∷ p → p → () Source #
data T_MoufangLoop_4782 Source #
d_Carrier_4802 ∷ T_MoufangLoop_4782 → () Source #
d__'8776'__4804 ∷ T_MoufangLoop_4782 → AgdaAny → AgdaAny → () Source #
d_'47''47''45'cong_4818 ∷ T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'47''47''45'cong'691'_4820 ∷ T_Level_18 → T_Level_18 → T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'47''47''45'cong'691'_4820 ∷ T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'47''47''45'cong'737'_4822 ∷ T_Level_18 → T_Level_18 → T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'47''47''45'cong'737'_4822 ∷ T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong_4824 ∷ T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong'691'_4826 ∷ T_Level_18 → T_Level_18 → T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'92''92''45'cong'691'_4826 ∷ T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong'737'_4828 ∷ T_Level_18 → T_Level_18 → T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'92''92''45'cong'737'_4828 ∷ T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_4846 ∷ T_Level_18 → T_Level_18 → T_MoufangLoop_4782 → T_IsPartialEquivalence_16 Source #
d_leftBol_4850 ∷ T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_leftDivides'691'_4854 ∷ T_Level_18 → T_Level_18 → T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny Source #
d_leftDivides'737'_4856 ∷ T_Level_18 → T_Level_18 → T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny Source #
d_reflexive_4860 ∷ T_Level_18 → T_Level_18 → T_MoufangLoop_4782 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_rightBol_4862 ∷ T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_rightDivides'691'_4866 ∷ T_Level_18 → T_Level_18 → T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny Source #
d_rightDivides'737'_4868 ∷ T_Level_18 → T_Level_18 → T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny Source #
d_sym_4872 ∷ T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_4874 ∷ T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_4876 ∷ T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_4878 ∷ T_Level_18 → T_Level_18 → T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_4878 ∷ T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_4880 ∷ T_Level_18 → T_Level_18 → T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'737'_4880 ∷ T_MoufangLoop_4782 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_MiddleBolLoop_4894 ∷ p → p → () Source #
data T_MiddleBolLoop_4894 Source #
d__'8776'__4916 ∷ T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → () Source #
d_'47''47''45'cong_4930 ∷ T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'47''47''45'cong'691'_4932 ∷ T_Level_18 → T_Level_18 → T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'47''47''45'cong'691'_4932 ∷ T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'47''47''45'cong'737'_4934 ∷ T_Level_18 → T_Level_18 → T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'47''47''45'cong'737'_4934 ∷ T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong_4936 ∷ T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong'691'_4938 ∷ T_Level_18 → T_Level_18 → T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'92''92''45'cong'691'_4938 ∷ T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'92''92''45'cong'737'_4940 ∷ T_Level_18 → T_Level_18 → T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'92''92''45'cong'737'_4940 ∷ T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isPartialEquivalence_4954 ∷ T_Level_18 → T_Level_18 → T_MiddleBolLoop_4894 → T_IsPartialEquivalence_16 Source #
d_leftDivides'691'_4960 ∷ T_Level_18 → T_Level_18 → T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny Source #
d_leftDivides'737'_4962 ∷ T_Level_18 → T_Level_18 → T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny Source #
d_reflexive_4968 ∷ T_Level_18 → T_Level_18 → T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → T__'8801'__12 → AgdaAny Source #
d_rightDivides'691'_4972 ∷ T_Level_18 → T_Level_18 → T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny Source #
d_rightDivides'737'_4974 ∷ T_Level_18 → T_Level_18 → T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny Source #
d_sym_4978 ∷ T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_trans_4980 ∷ T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong_4982 ∷ T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'691'_4984 ∷ T_Level_18 → T_Level_18 → T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8729''45'cong'691'_4984 ∷ T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8729''45'cong'737'_4986 ∷ T_Level_18 → T_Level_18 → T_MiddleBolLoop_4894 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #