| Safe Haskell | Safe-Inferred |
|---|---|
| Language | Haskell2010 |
MAlonzo.Code.Algebra.Morphism.Structures
Documentation
d__'8776'__30 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSuccessorSet_10 → T_RawSuccessorSet_10 → AgdaAny → AgdaAny → () Source #
d_Carrier_34 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSuccessorSet_10 → T_RawSuccessorSet_10 → () Source #
d_suc'35'_38 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSuccessorSet_10 → T_RawSuccessorSet_10 → AgdaAny → AgdaAny Source #
d_zero'35'_40 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSuccessorSet_10 → T_RawSuccessorSet_10 → AgdaAny Source #
d_Homomorphic'8320'_58 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSuccessorSet_10 → T_RawSuccessorSet_10 → (AgdaAny → AgdaAny) → AgdaAny → AgdaAny → () Source #
d_Homomorphic'8321'_60 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSuccessorSet_10 → T_RawSuccessorSet_10 → (AgdaAny → AgdaAny) → (AgdaAny → AgdaAny) → (AgdaAny → AgdaAny) → () Source #
d_IsSuccessorSetHomomorphism_68 ∷ p → p → p → p → p → p → p → () Source #
data T_IsSuccessorSetHomomorphism_68 Source #
Constructors
| C_constructor_84 T_IsRelHomomorphism_42 (AgdaAny → AgdaAny) AgdaAny |
d_IsSuccessorSetMonomorphism_88 ∷ p → p → p → p → p → p → p → () Source #
data T_IsSuccessorSetMonomorphism_88 Source #
Constructors
| C_constructor_110 T_IsSuccessorSetHomomorphism_68 (AgdaAny → AgdaAny → AgdaAny → AgdaAny) |
d_isSuccessorSetHomomorphism_96 ∷ T_IsSuccessorSetMonomorphism_88 → T_IsSuccessorSetHomomorphism_68 Source #
d_isRelMonomorphism_108 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSuccessorSet_10 → T_RawSuccessorSet_10 → (AgdaAny → AgdaAny) → T_IsSuccessorSetMonomorphism_88 → T_IsRelMonomorphism_66 Source #
d_IsSuccessorSetIsomorphism_114 ∷ p → p → p → p → p → p → p → () Source #
data T_IsSuccessorSetIsomorphism_114 Source #
Constructors
| C_constructor_142 T_IsSuccessorSetMonomorphism_88 (AgdaAny → T_Σ_14) |
d_isSuccessorSetMonomorphism_122 ∷ T_IsSuccessorSetIsomorphism_114 → T_IsSuccessorSetMonomorphism_88 Source #
d_isRelMonomorphism_132 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSuccessorSet_10 → T_RawSuccessorSet_10 → (AgdaAny → AgdaAny) → T_IsSuccessorSetIsomorphism_114 → T_IsRelMonomorphism_66 Source #
d_isSuccessorSetHomomorphism_134 ∷ T_IsSuccessorSetIsomorphism_114 → T_IsSuccessorSetHomomorphism_68 Source #
d_isRelIsomorphism_140 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSuccessorSet_10 → T_RawSuccessorSet_10 → (AgdaAny → AgdaAny) → T_IsSuccessorSetIsomorphism_114 → T_IsRelIsomorphism_98 Source #
d__'8729'__160 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMagma_44 → T_RawMagma_44 → AgdaAny → AgdaAny → AgdaAny Source #
du__'8729'__160 ∷ T_RawMagma_44 → AgdaAny → AgdaAny → AgdaAny Source #
d__'8776'__162 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMagma_44 → T_RawMagma_44 → AgdaAny → AgdaAny → () Source #
d_Carrier_166 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMagma_44 → T_RawMagma_44 → () Source #
d_Homomorphic'8322'_188 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMagma_44 → T_RawMagma_44 → (AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d_IsMagmaHomomorphism_194 ∷ p → p → p → p → p → p → p → () Source #
data T_IsMagmaHomomorphism_194 Source #
Constructors
| C_constructor_210 T_IsRelHomomorphism_42 (AgdaAny → AgdaAny → AgdaAny) |
d_IsMagmaMonomorphism_214 ∷ p → p → p → p → p → p → p → () Source #
data T_IsMagmaMonomorphism_214 Source #
Constructors
| C_constructor_236 T_IsMagmaHomomorphism_194 (AgdaAny → AgdaAny → AgdaAny → AgdaAny) |
d_isRelMonomorphism_234 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMagma_44 → T_RawMagma_44 → (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
d_IsMagmaIsomorphism_240 ∷ p → p → p → p → p → p → p → () Source #
data T_IsMagmaIsomorphism_240 Source #
Constructors
| C_constructor_268 T_IsMagmaMonomorphism_214 (AgdaAny → T_Σ_14) |
d_isRelMonomorphism_262 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMagma_44 → T_RawMagma_44 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelMonomorphism_66 Source #
d_isRelIsomorphism_266 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMagma_44 → T_RawMagma_44 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
d__'8776'__288 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMonoid_74 → T_RawMonoid_74 → AgdaAny → AgdaAny → () Source #
d_Carrier_292 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMonoid_74 → T_RawMonoid_74 → () Source #
d_ε_296 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMonoid_74 → T_RawMonoid_74 → AgdaAny Source #
d_Homomorphic'8320'_314 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMonoid_74 → T_RawMonoid_74 → (AgdaAny → AgdaAny) → AgdaAny → AgdaAny → () Source #
d_IsMagmaHomomorphism_324 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaIsomorphism_328 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaMonomorphism_332 ∷ p → p → p → p → p → p → p → () Source #
d_isRelIsomorphism_356 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMonoid_74 → T_RawMonoid_74 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
du_isRelIsomorphism_356 ∷ (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_358 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMonoid_74 → T_RawMonoid_74 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelMonomorphism_66 Source #
d_isRelMonomorphism_374 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMonoid_74 → T_RawMonoid_74 → (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
du_isRelMonomorphism_374 ∷ (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
d_IsMonoidHomomorphism_380 ∷ p → p → p → p → p → p → p → () Source #
data T_IsMonoidHomomorphism_380 Source #
Constructors
| C_constructor_400 T_IsMagmaHomomorphism_194 AgdaAny |
d_IsMonoidMonomorphism_404 ∷ p → p → p → p → p → p → p → () Source #
data T_IsMonoidMonomorphism_404 Source #
Constructors
| C_constructor_434 T_IsMonoidHomomorphism_380 (AgdaAny → AgdaAny → AgdaAny → AgdaAny) |
d_isMagmaMonomorphism_428 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMonoid_74 → T_RawMonoid_74 → (AgdaAny → AgdaAny) → T_IsMonoidMonomorphism_404 → T_IsMagmaMonomorphism_214 Source #
d_isRelMonomorphism_432 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMonoid_74 → T_RawMonoid_74 → (AgdaAny → AgdaAny) → T_IsMonoidMonomorphism_404 → T_IsRelMonomorphism_66 Source #
d_IsMonoidIsomorphism_438 ∷ p → p → p → p → p → p → p → () Source #
data T_IsMonoidIsomorphism_438 Source #
Constructors
| C_constructor_476 T_IsMonoidMonomorphism_404 (AgdaAny → T_Σ_14) |
d_isMagmaMonomorphism_458 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMonoid_74 → T_RawMonoid_74 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsMagmaMonomorphism_214 Source #
d_isRelMonomorphism_464 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMonoid_74 → T_RawMonoid_74 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsRelMonomorphism_66 Source #
d_isMagmaIsomorphism_470 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMonoid_74 → T_RawMonoid_74 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsMagmaIsomorphism_240 Source #
d_isRelIsomorphism_474 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawMonoid_74 → T_RawMonoid_74 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsRelIsomorphism_98 Source #
d__'8315''185'_494 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → AgdaAny → AgdaAny Source #
d__'8776'__498 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → AgdaAny → AgdaAny → () Source #
d_Carrier_502 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → () Source #
d_Homomorphic'8321'_532 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → (AgdaAny → AgdaAny) → (AgdaAny → AgdaAny) → () Source #
d_IsMagmaHomomorphism_540 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaIsomorphism_544 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaMonomorphism_548 ∷ p → p → p → p → p → p → p → () Source #
d_isRelIsomorphism_572 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
du_isRelIsomorphism_572 ∷ (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_574 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelMonomorphism_66 Source #
d_isRelMonomorphism_590 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
du_isRelMonomorphism_590 ∷ (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
d_IsMonoidHomomorphism_596 ∷ p → p → p → p → p → p → p → () Source #
d_IsMonoidIsomorphism_600 ∷ p → p → p → p → p → p → p → () Source #
d_IsMonoidMonomorphism_604 ∷ p → p → p → p → p → p → p → () Source #
d_isMagmaIsomorphism_628 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsMagmaIsomorphism_240 Source #
du_isMagmaIsomorphism_628 ∷ (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsMagmaIsomorphism_240 Source #
d_isMagmaMonomorphism_630 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsMagmaMonomorphism_214 Source #
d_isRelIsomorphism_638 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_640 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsRelMonomorphism_66 Source #
d_isMagmaMonomorphism_656 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsMonoidMonomorphism_404 → T_IsMagmaMonomorphism_214 Source #
du_isMagmaMonomorphism_656 ∷ (AgdaAny → AgdaAny) → T_IsMonoidMonomorphism_404 → T_IsMagmaMonomorphism_214 Source #
d_isRelMonomorphism_662 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsMonoidMonomorphism_404 → T_IsRelMonomorphism_66 Source #
d_IsGroupHomomorphism_670 ∷ p → p → p → p → p → p → p → () Source #
data T_IsGroupHomomorphism_670 Source #
Constructors
| C_constructor_694 T_IsMonoidHomomorphism_380 (AgdaAny → AgdaAny) |
d_IsGroupMonomorphism_698 ∷ p → p → p → p → p → p → p → () Source #
data T_IsGroupMonomorphism_698 Source #
Constructors
| C_constructor_734 T_IsGroupHomomorphism_670 (AgdaAny → AgdaAny → AgdaAny → AgdaAny) |
d_isMonoidMonomorphism_726 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsGroupMonomorphism_698 → T_IsMonoidMonomorphism_404 Source #
d_isMagmaMonomorphism_730 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsGroupMonomorphism_698 → T_IsMagmaMonomorphism_214 Source #
d_isRelMonomorphism_732 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsGroupMonomorphism_698 → T_IsRelMonomorphism_66 Source #
d_IsGroupIsomorphism_738 ∷ p → p → p → p → p → p → p → () Source #
data T_IsGroupIsomorphism_738 Source #
Constructors
| C_constructor_784 T_IsGroupMonomorphism_698 (AgdaAny → T_Σ_14) |
d_isMagmaMonomorphism_758 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsMagmaMonomorphism_214 Source #
d_isMonoidMonomorphism_762 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsMonoidMonomorphism_404 Source #
d_isRelMonomorphism_766 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsRelMonomorphism_66 Source #
d_isMonoidIsomorphism_776 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsMonoidIsomorphism_438 Source #
d_isMagmaIsomorphism_780 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsMagmaIsomorphism_240 Source #
d_isRelIsomorphism_782 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawGroup_108 → T_RawGroup_108 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsRelIsomorphism_98 Source #
d__'42'__802 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → AgdaAny → AgdaAny → AgdaAny Source #
d__'8776'__806 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → AgdaAny → AgdaAny → () Source #
d_Carrier_818 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → () Source #
d_IsMonoidHomomorphism_842 ∷ p → p → p → p → p → p → p → () Source #
d_IsMonoidIsomorphism_846 ∷ p → p → p → p → p → p → p → () Source #
d_IsMonoidMonomorphism_850 ∷ p → p → p → p → p → p → p → () Source #
d_isMagmaIsomorphism_874 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsMagmaIsomorphism_240 Source #
du_isMagmaIsomorphism_874 ∷ (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsMagmaIsomorphism_240 Source #
d_isMagmaMonomorphism_876 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsMagmaMonomorphism_214 Source #
d_isRelIsomorphism_884 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_886 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsRelMonomorphism_66 Source #
d_isMagmaMonomorphism_902 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsMonoidMonomorphism_404 → T_IsMagmaMonomorphism_214 Source #
du_isMagmaMonomorphism_902 ∷ (AgdaAny → AgdaAny) → T_IsMonoidMonomorphism_404 → T_IsMagmaMonomorphism_214 Source #
d_isRelMonomorphism_908 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsMonoidMonomorphism_404 → T_IsRelMonomorphism_66 Source #
d_IsMagmaHomomorphism_916 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaIsomorphism_920 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaMonomorphism_924 ∷ p → p → p → p → p → p → p → () Source #
d_isRelIsomorphism_948 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
du_isRelIsomorphism_948 ∷ (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_950 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelMonomorphism_66 Source #
d_isRelMonomorphism_966 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
du_isRelMonomorphism_966 ∷ (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
d_Homomorphic'8322'_976 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d_IsNearSemiringHomomorphism_982 ∷ p → p → p → p → p → p → p → () Source #
data T_IsNearSemiringHomomorphism_982 Source #
Constructors
| C_constructor_1008 T_IsMonoidHomomorphism_380 (AgdaAny → AgdaAny → AgdaAny) |
d_'43''45'isMonoidHomomorphism_990 ∷ T_IsNearSemiringHomomorphism_982 → T_IsMonoidHomomorphism_380 Source #
d_'42''45'isMagmaHomomorphism_1006 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsNearSemiringHomomorphism_982 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_1006 ∷ T_IsNearSemiringHomomorphism_982 → T_IsMagmaHomomorphism_194 Source #
d_IsNearSemiringMonomorphism_1012 ∷ p → p → p → p → p → p → p → () Source #
data T_IsNearSemiringMonomorphism_1012 Source #
Constructors
| C_constructor_1052 T_IsNearSemiringHomomorphism_982 (AgdaAny → AgdaAny → AgdaAny → AgdaAny) |
d_isNearSemiringHomomorphism_1020 ∷ T_IsNearSemiringMonomorphism_1012 → T_IsNearSemiringHomomorphism_982 Source #
d_injective_1022 ∷ T_IsNearSemiringMonomorphism_1012 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'isMagmaHomomorphism_1028 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_1028 ∷ T_IsNearSemiringMonomorphism_1012 → T_IsMagmaHomomorphism_194 Source #
d_'43''45'isMonoidHomomorphism_1034 ∷ T_IsNearSemiringMonomorphism_1012 → T_IsMonoidHomomorphism_380 Source #
d_'43''45'isMonoidMonomorphism_1042 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsMonoidMonomorphism_404 Source #
du_'43''45'isMonoidMonomorphism_1042 ∷ T_IsNearSemiringMonomorphism_1012 → T_IsMonoidMonomorphism_404 Source #
d_isMagmaMonomorphism_1046 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsMagmaMonomorphism_214 Source #
du_isMagmaMonomorphism_1046 ∷ T_IsNearSemiringMonomorphism_1012 → T_IsMagmaMonomorphism_214 Source #
d_isRelMonomorphism_1048 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsRelMonomorphism_66 Source #
d_'42''45'isMagmaMonomorphism_1050 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsMagmaMonomorphism_214 Source #
du_'42''45'isMagmaMonomorphism_1050 ∷ T_IsNearSemiringMonomorphism_1012 → T_IsMagmaMonomorphism_214 Source #
d_IsNearSemiringIsomorphism_1056 ∷ p → p → p → p → p → p → p → () Source #
data T_IsNearSemiringIsomorphism_1056 Source #
Constructors
| C_constructor_1108 T_IsNearSemiringMonomorphism_1012 (AgdaAny → T_Σ_14) |
d_isNearSemiringMonomorphism_1064 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsNearSemiringMonomorphism_1012 Source #
d_'42''45'isMagmaHomomorphism_1072 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_1072 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMagmaMonomorphism_1074 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMagmaMonomorphism_214 Source #
du_'42''45'isMagmaMonomorphism_1074 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsMagmaMonomorphism_214 Source #
d_isMagmaMonomorphism_1080 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMagmaMonomorphism_214 Source #
d_'43''45'isMonoidHomomorphism_1082 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsMonoidHomomorphism_380 Source #
d_'43''45'isMonoidMonomorphism_1084 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMonoidMonomorphism_404 Source #
du_'43''45'isMonoidMonomorphism_1084 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsMonoidMonomorphism_404 Source #
d_injective_1088 ∷ T_IsNearSemiringIsomorphism_1056 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isNearSemiringHomomorphism_1090 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsNearSemiringHomomorphism_982 Source #
d_isRelMonomorphism_1094 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsRelMonomorphism_66 Source #
d_'43''45'isMonoidIsomorphism_1098 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMonoidIsomorphism_438 Source #
du_'43''45'isMonoidIsomorphism_1098 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsMonoidIsomorphism_438 Source #
d_isMagmaIsomorphism_1102 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMagmaIsomorphism_240 Source #
d_isRelIsomorphism_1104 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsRelIsomorphism_98 Source #
d_'42''45'isMagmaIsomorphism_1106 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawNearSemiring_148 → T_RawNearSemiring_148 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMagmaIsomorphism_240 Source #
du_'42''45'isMagmaIsomorphism_1106 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsMagmaIsomorphism_240 Source #
d__'8776'__1130 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → AgdaAny → AgdaAny → () Source #
d_1'35'_1144 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → AgdaAny Source #
d_Carrier_1146 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → () Source #
d_IsMonoidHomomorphism_1178 ∷ p → p → p → p → p → p → p → () Source #
d_IsMonoidIsomorphism_1182 ∷ p → p → p → p → p → p → p → () Source #
d_IsMonoidMonomorphism_1186 ∷ p → p → p → p → p → p → p → () Source #
d_isMagmaIsomorphism_1210 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsMagmaIsomorphism_240 Source #
du_isMagmaIsomorphism_1210 ∷ (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsMagmaIsomorphism_240 Source #
d_isMagmaMonomorphism_1212 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsMagmaMonomorphism_214 Source #
d_isRelIsomorphism_1220 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_1222 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsRelMonomorphism_66 Source #
d_isMagmaMonomorphism_1238 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsMonoidMonomorphism_404 → T_IsMagmaMonomorphism_214 Source #
du_isMagmaMonomorphism_1238 ∷ (AgdaAny → AgdaAny) → T_IsMonoidMonomorphism_404 → T_IsMagmaMonomorphism_214 Source #
d_isRelMonomorphism_1244 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsMonoidMonomorphism_404 → T_IsRelMonomorphism_66 Source #
d_Homomorphic'8320'_1252 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → AgdaAny → AgdaAny → () Source #
d_IsNearSemiringHomomorphism_1262 ∷ p → p → p → p → p → p → p → () Source #
d_IsNearSemiringIsomorphism_1266 ∷ p → p → p → p → p → p → p → () Source #
d_IsNearSemiringMonomorphism_1270 ∷ p → p → p → p → p → p → p → () Source #
d_'42''45'isMagmaHomomorphism_1278 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsNearSemiringHomomorphism_982 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_1278 ∷ (AgdaAny → AgdaAny) → T_IsNearSemiringHomomorphism_982 → T_IsMagmaHomomorphism_194 Source #
d_'43''45'isMonoidHomomorphism_1284 ∷ T_IsNearSemiringHomomorphism_982 → T_IsMonoidHomomorphism_380 Source #
d_'42''45'isMagmaHomomorphism_1296 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_1296 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMagmaIsomorphism_1298 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMagmaIsomorphism_240 Source #
du_'42''45'isMagmaIsomorphism_1298 ∷ (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMagmaIsomorphism_240 Source #
d_'42''45'isMagmaMonomorphism_1300 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMagmaMonomorphism_214 Source #
du_'42''45'isMagmaMonomorphism_1300 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsMagmaMonomorphism_214 Source #
d_isMagmaIsomorphism_1306 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMagmaIsomorphism_240 Source #
d_isMagmaMonomorphism_1308 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMagmaMonomorphism_214 Source #
d_'43''45'isMonoidHomomorphism_1310 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsMonoidHomomorphism_380 Source #
d_'43''45'isMonoidIsomorphism_1312 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMonoidIsomorphism_438 Source #
du_'43''45'isMonoidIsomorphism_1312 ∷ (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMonoidIsomorphism_438 Source #
d_'43''45'isMonoidMonomorphism_1314 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMonoidMonomorphism_404 Source #
du_'43''45'isMonoidMonomorphism_1314 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsMonoidMonomorphism_404 Source #
d_injective_1318 ∷ T_IsNearSemiringIsomorphism_1056 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isNearSemiringHomomorphism_1320 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsNearSemiringHomomorphism_982 Source #
d_isNearSemiringMonomorphism_1322 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsNearSemiringMonomorphism_1012 Source #
d_isRelIsomorphism_1326 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_1328 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsRelMonomorphism_66 Source #
d_'42''45'isMagmaHomomorphism_1338 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_1338 ∷ T_IsNearSemiringMonomorphism_1012 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMagmaMonomorphism_1340 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsMagmaMonomorphism_214 Source #
du_'42''45'isMagmaMonomorphism_1340 ∷ (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsMagmaMonomorphism_214 Source #
d_isMagmaMonomorphism_1346 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsMagmaMonomorphism_214 Source #
du_isMagmaMonomorphism_1346 ∷ T_IsNearSemiringMonomorphism_1012 → T_IsMagmaMonomorphism_214 Source #
d_'43''45'isMonoidHomomorphism_1348 ∷ T_IsNearSemiringMonomorphism_1012 → T_IsMonoidHomomorphism_380 Source #
d_'43''45'isMonoidMonomorphism_1350 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsMonoidMonomorphism_404 Source #
du_'43''45'isMonoidMonomorphism_1350 ∷ (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsMonoidMonomorphism_404 Source #
d_injective_1354 ∷ T_IsNearSemiringMonomorphism_1012 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isNearSemiringHomomorphism_1356 ∷ T_IsNearSemiringMonomorphism_1012 → T_IsNearSemiringHomomorphism_982 Source #
d_isRelMonomorphism_1360 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsRelMonomorphism_66 Source #
d_IsSemiringHomomorphism_1366 ∷ p → p → p → p → p → p → p → () Source #
d_isNearSemiringHomomorphism_1374 ∷ T_IsSemiringHomomorphism_1366 → T_IsNearSemiringHomomorphism_982 Source #
d_'42''45'isMagmaHomomorphism_1382 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringHomomorphism_1366 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_1382 ∷ T_IsSemiringHomomorphism_1366 → T_IsMagmaHomomorphism_194 Source #
d_'43''45'isMonoidHomomorphism_1388 ∷ T_IsSemiringHomomorphism_1366 → T_IsMonoidHomomorphism_380 Source #
d_'42''45'isMonoidHomomorphism_1396 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringHomomorphism_1366 → T_IsMonoidHomomorphism_380 Source #
du_'42''45'isMonoidHomomorphism_1396 ∷ T_IsSemiringHomomorphism_1366 → T_IsMonoidHomomorphism_380 Source #
d_IsSemiringMonomorphism_1402 ∷ p → p → p → p → p → p → p → () Source #
data T_IsSemiringMonomorphism_1402 Source #
Constructors
| C_constructor_1448 T_IsSemiringHomomorphism_1366 (AgdaAny → AgdaAny → AgdaAny → AgdaAny) |
d_isSemiringHomomorphism_1410 ∷ T_IsSemiringMonomorphism_1402 → T_IsSemiringHomomorphism_1366 Source #
d_'42''45'isMagmaHomomorphism_1418 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_1418 ∷ T_IsSemiringMonomorphism_1402 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMonoidHomomorphism_1420 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsMonoidHomomorphism_380 Source #
du_'42''45'isMonoidHomomorphism_1420 ∷ T_IsSemiringMonomorphism_1402 → T_IsMonoidHomomorphism_380 Source #
d_'43''45'isMonoidHomomorphism_1426 ∷ T_IsSemiringMonomorphism_1402 → T_IsMonoidHomomorphism_380 Source #
d_isNearSemiringHomomorphism_1432 ∷ T_IsSemiringMonomorphism_1402 → T_IsNearSemiringHomomorphism_982 Source #
d_isNearSemiringMonomorphism_1438 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsNearSemiringMonomorphism_1012 Source #
du_isNearSemiringMonomorphism_1438 ∷ T_IsSemiringMonomorphism_1402 → T_IsNearSemiringMonomorphism_1012 Source #
d_'42''45'isMagmaMonomorphism_1442 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsMagmaMonomorphism_214 Source #
du_'42''45'isMagmaMonomorphism_1442 ∷ T_IsSemiringMonomorphism_1402 → T_IsMagmaMonomorphism_214 Source #
d_'43''45'isMonoidMonomorphism_1444 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsMonoidMonomorphism_404 Source #
du_'43''45'isMonoidMonomorphism_1444 ∷ T_IsSemiringMonomorphism_1402 → T_IsMonoidMonomorphism_404 Source #
d_'42''45'isMonoidMonomorphism_1446 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsMonoidMonomorphism_404 Source #
du_'42''45'isMonoidMonomorphism_1446 ∷ T_IsSemiringMonomorphism_1402 → T_IsMonoidMonomorphism_404 Source #
d_IsSemiringIsomorphism_1452 ∷ p → p → p → p → p → p → p → () Source #
data T_IsSemiringIsomorphism_1452 Source #
Constructors
| C_constructor_1510 T_IsSemiringMonomorphism_1402 (AgdaAny → T_Σ_14) |
d_isSemiringMonomorphism_1460 ∷ T_IsSemiringIsomorphism_1452 → T_IsSemiringMonomorphism_1402 Source #
d_'42''45'isMagmaHomomorphism_1468 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_1468 ∷ T_IsSemiringIsomorphism_1452 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMagmaMonomorphism_1470 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMagmaMonomorphism_214 Source #
du_'42''45'isMagmaMonomorphism_1470 ∷ T_IsSemiringIsomorphism_1452 → T_IsMagmaMonomorphism_214 Source #
d_'42''45'isMonoidHomomorphism_1472 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMonoidHomomorphism_380 Source #
du_'42''45'isMonoidHomomorphism_1472 ∷ T_IsSemiringIsomorphism_1452 → T_IsMonoidHomomorphism_380 Source #
d_'42''45'isMonoidMonomorphism_1474 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMonoidMonomorphism_404 Source #
du_'42''45'isMonoidMonomorphism_1474 ∷ T_IsSemiringIsomorphism_1452 → T_IsMonoidMonomorphism_404 Source #
d_'43''45'isMonoidHomomorphism_1480 ∷ T_IsSemiringIsomorphism_1452 → T_IsMonoidHomomorphism_380 Source #
d_'43''45'isMonoidMonomorphism_1482 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMonoidMonomorphism_404 Source #
du_'43''45'isMonoidMonomorphism_1482 ∷ T_IsSemiringIsomorphism_1452 → T_IsMonoidMonomorphism_404 Source #
d_isNearSemiringHomomorphism_1490 ∷ T_IsSemiringIsomorphism_1452 → T_IsNearSemiringHomomorphism_982 Source #
d_isNearSemiringMonomorphism_1492 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsNearSemiringMonomorphism_1012 Source #
du_isNearSemiringMonomorphism_1492 ∷ T_IsSemiringIsomorphism_1452 → T_IsNearSemiringMonomorphism_1012 Source #
d_isSemiringHomomorphism_1496 ∷ T_IsSemiringIsomorphism_1452 → T_IsSemiringHomomorphism_1366 Source #
d_isNearSemiringIsomorphism_1500 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsNearSemiringIsomorphism_1056 Source #
du_isNearSemiringIsomorphism_1500 ∷ T_IsSemiringIsomorphism_1452 → T_IsNearSemiringIsomorphism_1056 Source #
d_'42''45'isMagmaIsomorphism_1504 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMagmaIsomorphism_240 Source #
du_'42''45'isMagmaIsomorphism_1504 ∷ T_IsSemiringIsomorphism_1452 → T_IsMagmaIsomorphism_240 Source #
d_'43''45'isMonoidIsomorphism_1506 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMonoidIsomorphism_438 Source #
du_'43''45'isMonoidIsomorphism_1506 ∷ T_IsSemiringIsomorphism_1452 → T_IsMonoidIsomorphism_438 Source #
d_'42''45'isMonoidIsomorphism_1508 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawSemiring_190 → T_RawSemiring_190 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMonoidIsomorphism_438 Source #
du_'42''45'isMonoidIsomorphism_1508 ∷ T_IsSemiringIsomorphism_1452 → T_IsMonoidIsomorphism_438 Source #
d__'42'__1528 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → AgdaAny → AgdaAny → AgdaAny Source #
d__'8776'__1532 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → AgdaAny → AgdaAny → () Source #
d_Carrier_1548 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → () Source #
d_IsGroupHomomorphism_1580 ∷ p → p → p → p → p → p → p → () Source #
d_IsGroupIsomorphism_1584 ∷ p → p → p → p → p → p → p → () Source #
d_IsGroupMonomorphism_1588 ∷ p → p → p → p → p → p → p → () Source #
d_isMagmaIsomorphism_1618 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsMagmaIsomorphism_240 Source #
d_isMagmaMonomorphism_1620 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsMagmaMonomorphism_214 Source #
d_isMonoidIsomorphism_1624 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsMonoidIsomorphism_438 Source #
du_isMonoidIsomorphism_1624 ∷ (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsMonoidIsomorphism_438 Source #
d_isMonoidMonomorphism_1626 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsMonoidMonomorphism_404 Source #
d_isRelIsomorphism_1630 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_1632 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsRelMonomorphism_66 Source #
d_isMagmaMonomorphism_1652 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsGroupMonomorphism_698 → T_IsMagmaMonomorphism_214 Source #
d_isMonoidMonomorphism_1656 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsGroupMonomorphism_698 → T_IsMonoidMonomorphism_404 Source #
du_isMonoidMonomorphism_1656 ∷ (AgdaAny → AgdaAny) → T_IsGroupMonomorphism_698 → T_IsMonoidMonomorphism_404 Source #
d_isRelMonomorphism_1660 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsGroupMonomorphism_698 → T_IsRelMonomorphism_66 Source #
d_IsMagmaHomomorphism_1672 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaIsomorphism_1676 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaMonomorphism_1680 ∷ p → p → p → p → p → p → p → () Source #
d_isRelIsomorphism_1704 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
du_isRelIsomorphism_1704 ∷ (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_1706 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelMonomorphism_66 Source #
d_isRelMonomorphism_1722 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
du_isRelMonomorphism_1722 ∷ (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
d_IsNearSemiringHomomorphism_1728 ∷ p → p → p → p → p → p → p → () Source #
d_IsNearSemiringIsomorphism_1732 ∷ p → p → p → p → p → p → p → () Source #
d_IsNearSemiringMonomorphism_1736 ∷ p → p → p → p → p → p → p → () Source #
d_'42''45'isMagmaHomomorphism_1744 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsNearSemiringHomomorphism_982 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_1744 ∷ (AgdaAny → AgdaAny) → T_IsNearSemiringHomomorphism_982 → T_IsMagmaHomomorphism_194 Source #
d_'43''45'isMonoidHomomorphism_1750 ∷ T_IsNearSemiringHomomorphism_982 → T_IsMonoidHomomorphism_380 Source #
d_'42''45'isMagmaHomomorphism_1762 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_1762 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMagmaIsomorphism_1764 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMagmaIsomorphism_240 Source #
du_'42''45'isMagmaIsomorphism_1764 ∷ (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMagmaIsomorphism_240 Source #
d_'42''45'isMagmaMonomorphism_1766 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMagmaMonomorphism_214 Source #
du_'42''45'isMagmaMonomorphism_1766 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsMagmaMonomorphism_214 Source #
d_isMagmaIsomorphism_1772 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMagmaIsomorphism_240 Source #
d_isMagmaMonomorphism_1774 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMagmaMonomorphism_214 Source #
d_'43''45'isMonoidHomomorphism_1776 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsMonoidHomomorphism_380 Source #
d_'43''45'isMonoidIsomorphism_1778 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMonoidIsomorphism_438 Source #
du_'43''45'isMonoidIsomorphism_1778 ∷ (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMonoidIsomorphism_438 Source #
d_'43''45'isMonoidMonomorphism_1780 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsMonoidMonomorphism_404 Source #
du_'43''45'isMonoidMonomorphism_1780 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsMonoidMonomorphism_404 Source #
d_injective_1784 ∷ T_IsNearSemiringIsomorphism_1056 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isNearSemiringHomomorphism_1786 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsNearSemiringHomomorphism_982 Source #
d_isNearSemiringMonomorphism_1788 ∷ T_IsNearSemiringIsomorphism_1056 → T_IsNearSemiringMonomorphism_1012 Source #
d_isRelIsomorphism_1792 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_1794 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsNearSemiringIsomorphism_1056 → T_IsRelMonomorphism_66 Source #
d_'42''45'isMagmaHomomorphism_1804 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_1804 ∷ T_IsNearSemiringMonomorphism_1012 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMagmaMonomorphism_1806 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsMagmaMonomorphism_214 Source #
du_'42''45'isMagmaMonomorphism_1806 ∷ (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsMagmaMonomorphism_214 Source #
d_isMagmaMonomorphism_1812 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsMagmaMonomorphism_214 Source #
du_isMagmaMonomorphism_1812 ∷ T_IsNearSemiringMonomorphism_1012 → T_IsMagmaMonomorphism_214 Source #
d_'43''45'isMonoidHomomorphism_1814 ∷ T_IsNearSemiringMonomorphism_1012 → T_IsMonoidHomomorphism_380 Source #
d_'43''45'isMonoidMonomorphism_1816 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsMonoidMonomorphism_404 Source #
du_'43''45'isMonoidMonomorphism_1816 ∷ (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsMonoidMonomorphism_404 Source #
d_injective_1820 ∷ T_IsNearSemiringMonomorphism_1012 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isNearSemiringHomomorphism_1822 ∷ T_IsNearSemiringMonomorphism_1012 → T_IsNearSemiringHomomorphism_982 Source #
d_isRelMonomorphism_1826 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsNearSemiringMonomorphism_1012 → T_IsRelMonomorphism_66 Source #
d_Homomorphic'8322'_1836 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d_IsRingWithoutOneHomomorphism_1842 ∷ p → p → p → p → p → p → p → () Source #
data T_IsRingWithoutOneHomomorphism_1842 Source #
Constructors
| C_constructor_1874 T_IsGroupHomomorphism_670 (AgdaAny → AgdaAny → AgdaAny) |
d_'43''45'isGroupHomomorphism_1850 ∷ T_IsRingWithoutOneHomomorphism_1842 → T_IsGroupHomomorphism_670 Source #
d_isMagmaHomomorphism_1858 ∷ T_IsRingWithoutOneHomomorphism_1842 → T_IsMagmaHomomorphism_194 Source #
d_isMonoidHomomorphism_1860 ∷ T_IsRingWithoutOneHomomorphism_1842 → T_IsMonoidHomomorphism_380 Source #
d_isNearSemiringHomomorphism_1870 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneHomomorphism_1842 → T_IsNearSemiringHomomorphism_982 Source #
du_isNearSemiringHomomorphism_1870 ∷ T_IsRingWithoutOneHomomorphism_1842 → T_IsNearSemiringHomomorphism_982 Source #
d_'42''45'isMagmaHomomorphism_1872 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneHomomorphism_1842 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_1872 ∷ T_IsRingWithoutOneHomomorphism_1842 → T_IsMagmaHomomorphism_194 Source #
d_IsRingWithoutOneMonomorphism_1878 ∷ p → p → p → p → p → p → p → () Source #
data T_IsRingWithoutOneMonomorphism_1878 Source #
Constructors
| C_constructor_1926 T_IsRingWithoutOneHomomorphism_1842 (AgdaAny → AgdaAny → AgdaAny → AgdaAny) |
d_isRingWithoutOneHomomorphism_1886 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsRingWithoutOneHomomorphism_1842 Source #
d_injective_1888 ∷ T_IsRingWithoutOneMonomorphism_1878 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'isMagmaHomomorphism_1894 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneMonomorphism_1878 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_1894 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsMagmaHomomorphism_194 Source #
d_'43''45'isGroupHomomorphism_1898 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsGroupHomomorphism_670 Source #
d_isMagmaHomomorphism_1900 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsMagmaHomomorphism_194 Source #
d_isMonoidHomomorphism_1902 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsMonoidHomomorphism_380 Source #
d_isNearSemiringHomomorphism_1906 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneMonomorphism_1878 → T_IsNearSemiringHomomorphism_982 Source #
du_isNearSemiringHomomorphism_1906 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsNearSemiringHomomorphism_982 Source #
d_'43''45'isGroupMonomorphism_1914 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneMonomorphism_1878 → T_IsGroupMonomorphism_698 Source #
du_'43''45'isGroupMonomorphism_1914 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsGroupMonomorphism_698 Source #
d_isMagmaMonomorphism_1918 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneMonomorphism_1878 → T_IsMagmaMonomorphism_214 Source #
du_isMagmaMonomorphism_1918 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsMagmaMonomorphism_214 Source #
d_isMonoidMonomorphism_1920 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneMonomorphism_1878 → T_IsMonoidMonomorphism_404 Source #
du_isMonoidMonomorphism_1920 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsMonoidMonomorphism_404 Source #
d_isRelMonomorphism_1922 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneMonomorphism_1878 → T_IsRelMonomorphism_66 Source #
d_'42''45'isMagmaMonomorphism_1924 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneMonomorphism_1878 → T_IsMagmaMonomorphism_214 Source #
du_'42''45'isMagmaMonomorphism_1924 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsMagmaMonomorphism_214 Source #
d_IsRingWithoutOneIsoMorphism_1930 ∷ p → p → p → p → p → p → p → () Source #
data T_IsRingWithoutOneIsoMorphism_1930 Source #
Constructors
| C_constructor_1992 T_IsRingWithoutOneMonomorphism_1878 (AgdaAny → T_Σ_14) |
d_isRingWithoutOneMonomorphism_1938 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsRingWithoutOneMonomorphism_1878 Source #
d_'42''45'isMagmaHomomorphism_1946 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_1946 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMagmaMonomorphism_1948 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaMonomorphism_214 Source #
du_'42''45'isMagmaMonomorphism_1948 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaMonomorphism_214 Source #
d_'43''45'isGroupHomomorphism_1952 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsGroupHomomorphism_670 Source #
d_'43''45'isGroupMonomorphism_1954 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsGroupMonomorphism_698 Source #
du_'43''45'isGroupMonomorphism_1954 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsGroupMonomorphism_698 Source #
d_isMagmaHomomorphism_1956 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaHomomorphism_194 Source #
d_isMagmaMonomorphism_1958 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaMonomorphism_214 Source #
du_isMagmaMonomorphism_1958 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaMonomorphism_214 Source #
d_isMonoidHomomorphism_1960 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsMonoidHomomorphism_380 Source #
d_isMonoidMonomorphism_1962 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsMonoidMonomorphism_404 Source #
du_isMonoidMonomorphism_1962 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsMonoidMonomorphism_404 Source #
d_injective_1966 ∷ T_IsRingWithoutOneIsoMorphism_1930 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isNearSemiringHomomorphism_1968 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsNearSemiringHomomorphism_982 Source #
du_isNearSemiringHomomorphism_1968 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsNearSemiringHomomorphism_982 Source #
d_isRelMonomorphism_1972 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsRelMonomorphism_66 Source #
d_isRingWithoutOneHomomorphism_1974 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsRingWithoutOneHomomorphism_1842 Source #
d_'43''45'isGroupIsomorphism_1980 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsGroupIsomorphism_738 Source #
du_'43''45'isGroupIsomorphism_1980 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsGroupIsomorphism_738 Source #
d_isMagmaIsomorphism_1984 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaIsomorphism_240 Source #
d_isMonoidIsomorphism_1986 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsMonoidIsomorphism_438 Source #
du_isMonoidIsomorphism_1986 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsMonoidIsomorphism_438 Source #
d_isRelIsomorphism_1988 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsRelIsomorphism_98 Source #
d_'42''45'isMagmaIsomorphism_1990 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRingWithoutOne_240 → T_RawRingWithoutOne_240 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaIsomorphism_240 Source #
du_'42''45'isMagmaIsomorphism_1990 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaIsomorphism_240 Source #
d__'8776'__2014 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → AgdaAny → AgdaAny → () Source #
d_'45'__2028 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → AgdaAny → AgdaAny Source #
d_Carrier_2034 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → () Source #
d_IsGroupHomomorphism_2074 ∷ p → p → p → p → p → p → p → () Source #
d_IsGroupIsomorphism_2078 ∷ p → p → p → p → p → p → p → () Source #
d_IsGroupMonomorphism_2082 ∷ p → p → p → p → p → p → p → () Source #
d_isMagmaIsomorphism_2112 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsMagmaIsomorphism_240 Source #
d_isMagmaMonomorphism_2114 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsMagmaMonomorphism_214 Source #
d_isMonoidIsomorphism_2118 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsMonoidIsomorphism_438 Source #
du_isMonoidIsomorphism_2118 ∷ (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsMonoidIsomorphism_438 Source #
d_isMonoidMonomorphism_2120 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsMonoidMonomorphism_404 Source #
d_isRelIsomorphism_2124 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_2126 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsGroupIsomorphism_738 → T_IsRelMonomorphism_66 Source #
d_isMagmaMonomorphism_2146 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsGroupMonomorphism_698 → T_IsMagmaMonomorphism_214 Source #
d_isMonoidMonomorphism_2150 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsGroupMonomorphism_698 → T_IsMonoidMonomorphism_404 Source #
du_isMonoidMonomorphism_2150 ∷ (AgdaAny → AgdaAny) → T_IsGroupMonomorphism_698 → T_IsMonoidMonomorphism_404 Source #
d_isRelMonomorphism_2154 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsGroupMonomorphism_698 → T_IsRelMonomorphism_66 Source #
d_IsMonoidHomomorphism_2166 ∷ p → p → p → p → p → p → p → () Source #
d_IsMonoidIsomorphism_2170 ∷ p → p → p → p → p → p → p → () Source #
d_IsMonoidMonomorphism_2174 ∷ p → p → p → p → p → p → p → () Source #
d_isMagmaIsomorphism_2198 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsMagmaIsomorphism_240 Source #
du_isMagmaIsomorphism_2198 ∷ (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsMagmaIsomorphism_240 Source #
d_isMagmaMonomorphism_2200 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsMagmaMonomorphism_214 Source #
d_isRelIsomorphism_2208 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_2210 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsMonoidIsomorphism_438 → T_IsRelMonomorphism_66 Source #
d_isMagmaMonomorphism_2226 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsMonoidMonomorphism_404 → T_IsMagmaMonomorphism_214 Source #
du_isMagmaMonomorphism_2226 ∷ (AgdaAny → AgdaAny) → T_IsMonoidMonomorphism_404 → T_IsMagmaMonomorphism_214 Source #
d_isRelMonomorphism_2232 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsMonoidMonomorphism_404 → T_IsRelMonomorphism_66 Source #
d_IsRingWithoutOneHomomorphism_2240 ∷ p → p → p → p → p → p → p → () Source #
d_IsRingWithoutOneIsoMorphism_2244 ∷ p → p → p → p → p → p → p → () Source #
d_IsRingWithoutOneMonomorphism_2248 ∷ p → p → p → p → p → p → p → () Source #
d_'42''45'isMagmaHomomorphism_2256 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneHomomorphism_1842 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_2256 ∷ (AgdaAny → AgdaAny) → T_IsRingWithoutOneHomomorphism_1842 → T_IsMagmaHomomorphism_194 Source #
d_'43''45'isGroupHomomorphism_2260 ∷ T_IsRingWithoutOneHomomorphism_1842 → T_IsGroupHomomorphism_670 Source #
d_isMagmaHomomorphism_2262 ∷ T_IsRingWithoutOneHomomorphism_1842 → T_IsMagmaHomomorphism_194 Source #
d_isMonoidHomomorphism_2264 ∷ T_IsRingWithoutOneHomomorphism_1842 → T_IsMonoidHomomorphism_380 Source #
d_isNearSemiringHomomorphism_2268 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneHomomorphism_1842 → T_IsNearSemiringHomomorphism_982 Source #
du_isNearSemiringHomomorphism_2268 ∷ (AgdaAny → AgdaAny) → T_IsRingWithoutOneHomomorphism_1842 → T_IsNearSemiringHomomorphism_982 Source #
d_'42''45'isMagmaHomomorphism_2280 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_2280 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMagmaIsomorphism_2282 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaIsomorphism_240 Source #
du_'42''45'isMagmaIsomorphism_2282 ∷ (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaIsomorphism_240 Source #
d_'42''45'isMagmaMonomorphism_2284 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaMonomorphism_214 Source #
du_'42''45'isMagmaMonomorphism_2284 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaMonomorphism_214 Source #
d_'43''45'isGroupHomomorphism_2288 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsGroupHomomorphism_670 Source #
d_'43''45'isGroupIsomorphism_2290 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsGroupIsomorphism_738 Source #
du_'43''45'isGroupIsomorphism_2290 ∷ (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsGroupIsomorphism_738 Source #
d_'43''45'isGroupMonomorphism_2292 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsGroupMonomorphism_698 Source #
du_'43''45'isGroupMonomorphism_2292 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsGroupMonomorphism_698 Source #
d_isMagmaHomomorphism_2294 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaHomomorphism_194 Source #
d_isMagmaIsomorphism_2296 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaIsomorphism_240 Source #
d_isMagmaMonomorphism_2298 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaMonomorphism_214 Source #
du_isMagmaMonomorphism_2298 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsMagmaMonomorphism_214 Source #
d_isMonoidHomomorphism_2300 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsMonoidHomomorphism_380 Source #
d_isMonoidIsomorphism_2302 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsMonoidIsomorphism_438 Source #
du_isMonoidIsomorphism_2302 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsMonoidIsomorphism_438 Source #
d_isMonoidMonomorphism_2304 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsMonoidMonomorphism_404 Source #
du_isMonoidMonomorphism_2304 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsMonoidMonomorphism_404 Source #
d_injective_2308 ∷ T_IsRingWithoutOneIsoMorphism_1930 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isNearSemiringHomomorphism_2310 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsNearSemiringHomomorphism_982 Source #
du_isNearSemiringHomomorphism_2310 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsNearSemiringHomomorphism_982 Source #
d_isRelIsomorphism_2314 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_2316 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneIsoMorphism_1930 → T_IsRelMonomorphism_66 Source #
d_isRingWithoutOneHomomorphism_2318 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsRingWithoutOneHomomorphism_1842 Source #
d_isRingWithoutOneMonomorphism_2320 ∷ T_IsRingWithoutOneIsoMorphism_1930 → T_IsRingWithoutOneMonomorphism_1878 Source #
d_'42''45'isMagmaHomomorphism_2332 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneMonomorphism_1878 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_2332 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMagmaMonomorphism_2334 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneMonomorphism_1878 → T_IsMagmaMonomorphism_214 Source #
du_'42''45'isMagmaMonomorphism_2334 ∷ (AgdaAny → AgdaAny) → T_IsRingWithoutOneMonomorphism_1878 → T_IsMagmaMonomorphism_214 Source #
d_'43''45'isGroupHomomorphism_2338 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsGroupHomomorphism_670 Source #
d_'43''45'isGroupMonomorphism_2340 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneMonomorphism_1878 → T_IsGroupMonomorphism_698 Source #
du_'43''45'isGroupMonomorphism_2340 ∷ (AgdaAny → AgdaAny) → T_IsRingWithoutOneMonomorphism_1878 → T_IsGroupMonomorphism_698 Source #
d_isMagmaHomomorphism_2342 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsMagmaHomomorphism_194 Source #
d_isMagmaMonomorphism_2344 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneMonomorphism_1878 → T_IsMagmaMonomorphism_214 Source #
du_isMagmaMonomorphism_2344 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsMagmaMonomorphism_214 Source #
d_isMonoidHomomorphism_2346 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsMonoidHomomorphism_380 Source #
d_isMonoidMonomorphism_2348 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneMonomorphism_1878 → T_IsMonoidMonomorphism_404 Source #
du_isMonoidMonomorphism_2348 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsMonoidMonomorphism_404 Source #
d_injective_2352 ∷ T_IsRingWithoutOneMonomorphism_1878 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isNearSemiringHomomorphism_2354 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneMonomorphism_1878 → T_IsNearSemiringHomomorphism_982 Source #
du_isNearSemiringHomomorphism_2354 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsNearSemiringHomomorphism_982 Source #
d_isRelMonomorphism_2358 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingWithoutOneMonomorphism_1878 → T_IsRelMonomorphism_66 Source #
d_isRingWithoutOneHomomorphism_2360 ∷ T_IsRingWithoutOneMonomorphism_1878 → T_IsRingWithoutOneHomomorphism_1842 Source #
d_Homomorphic'8321'_2370 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → (AgdaAny → AgdaAny) → (AgdaAny → AgdaAny) → () Source #
d_IsSemiringHomomorphism_2378 ∷ p → p → p → p → p → p → p → () Source #
d_IsSemiringIsomorphism_2382 ∷ p → p → p → p → p → p → p → () Source #
d_IsSemiringMonomorphism_2386 ∷ p → p → p → p → p → p → p → () Source #
d_'42''45'isMagmaHomomorphism_2394 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringHomomorphism_1366 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_2394 ∷ T_IsSemiringHomomorphism_1366 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMonoidHomomorphism_2396 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringHomomorphism_1366 → T_IsMonoidHomomorphism_380 Source #
du_'42''45'isMonoidHomomorphism_2396 ∷ (AgdaAny → AgdaAny) → T_IsSemiringHomomorphism_1366 → T_IsMonoidHomomorphism_380 Source #
d_'43''45'isMonoidHomomorphism_2402 ∷ T_IsSemiringHomomorphism_1366 → T_IsMonoidHomomorphism_380 Source #
d_isNearSemiringHomomorphism_2408 ∷ T_IsSemiringHomomorphism_1366 → T_IsNearSemiringHomomorphism_982 Source #
d_'42''45'isMagmaHomomorphism_2418 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_2418 ∷ T_IsSemiringIsomorphism_1452 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMagmaIsomorphism_2420 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMagmaIsomorphism_240 Source #
du_'42''45'isMagmaIsomorphism_2420 ∷ T_IsSemiringIsomorphism_1452 → T_IsMagmaIsomorphism_240 Source #
d_'42''45'isMagmaMonomorphism_2422 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMagmaMonomorphism_214 Source #
du_'42''45'isMagmaMonomorphism_2422 ∷ T_IsSemiringIsomorphism_1452 → T_IsMagmaMonomorphism_214 Source #
d_'42''45'isMonoidHomomorphism_2424 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMonoidHomomorphism_380 Source #
du_'42''45'isMonoidHomomorphism_2424 ∷ T_IsSemiringIsomorphism_1452 → T_IsMonoidHomomorphism_380 Source #
d_'42''45'isMonoidIsomorphism_2426 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMonoidIsomorphism_438 Source #
du_'42''45'isMonoidIsomorphism_2426 ∷ (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMonoidIsomorphism_438 Source #
d_'42''45'isMonoidMonomorphism_2428 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMonoidMonomorphism_404 Source #
du_'42''45'isMonoidMonomorphism_2428 ∷ T_IsSemiringIsomorphism_1452 → T_IsMonoidMonomorphism_404 Source #
d_'43''45'isMonoidHomomorphism_2434 ∷ T_IsSemiringIsomorphism_1452 → T_IsMonoidHomomorphism_380 Source #
d_'43''45'isMonoidIsomorphism_2436 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMonoidIsomorphism_438 Source #
du_'43''45'isMonoidIsomorphism_2436 ∷ T_IsSemiringIsomorphism_1452 → T_IsMonoidIsomorphism_438 Source #
d_'43''45'isMonoidMonomorphism_2438 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMonoidMonomorphism_404 Source #
du_'43''45'isMonoidMonomorphism_2438 ∷ T_IsSemiringIsomorphism_1452 → T_IsMonoidMonomorphism_404 Source #
d_isNearSemiringHomomorphism_2446 ∷ T_IsSemiringIsomorphism_1452 → T_IsNearSemiringHomomorphism_982 Source #
d_isNearSemiringIsomorphism_2448 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsNearSemiringIsomorphism_1056 Source #
du_isNearSemiringIsomorphism_2448 ∷ (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsNearSemiringIsomorphism_1056 Source #
d_isNearSemiringMonomorphism_2450 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsNearSemiringMonomorphism_1012 Source #
du_isNearSemiringMonomorphism_2450 ∷ T_IsSemiringIsomorphism_1452 → T_IsNearSemiringMonomorphism_1012 Source #
d_isSemiringHomomorphism_2454 ∷ T_IsSemiringIsomorphism_1452 → T_IsSemiringHomomorphism_1366 Source #
d_isSemiringMonomorphism_2456 ∷ T_IsSemiringIsomorphism_1452 → T_IsSemiringMonomorphism_1402 Source #
d_'42''45'isMagmaHomomorphism_2466 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_2466 ∷ T_IsSemiringMonomorphism_1402 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMagmaMonomorphism_2468 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsMagmaMonomorphism_214 Source #
du_'42''45'isMagmaMonomorphism_2468 ∷ T_IsSemiringMonomorphism_1402 → T_IsMagmaMonomorphism_214 Source #
d_'42''45'isMonoidHomomorphism_2470 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsMonoidHomomorphism_380 Source #
du_'42''45'isMonoidHomomorphism_2470 ∷ T_IsSemiringMonomorphism_1402 → T_IsMonoidHomomorphism_380 Source #
d_'42''45'isMonoidMonomorphism_2472 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsMonoidMonomorphism_404 Source #
du_'42''45'isMonoidMonomorphism_2472 ∷ (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsMonoidMonomorphism_404 Source #
d_'43''45'isMonoidHomomorphism_2478 ∷ T_IsSemiringMonomorphism_1402 → T_IsMonoidHomomorphism_380 Source #
d_'43''45'isMonoidMonomorphism_2480 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsMonoidMonomorphism_404 Source #
du_'43''45'isMonoidMonomorphism_2480 ∷ T_IsSemiringMonomorphism_1402 → T_IsMonoidMonomorphism_404 Source #
d_isNearSemiringHomomorphism_2488 ∷ T_IsSemiringMonomorphism_1402 → T_IsNearSemiringHomomorphism_982 Source #
d_isNearSemiringMonomorphism_2490 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsNearSemiringMonomorphism_1012 Source #
du_isNearSemiringMonomorphism_2490 ∷ (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsNearSemiringMonomorphism_1012 Source #
d_isSemiringHomomorphism_2494 ∷ T_IsSemiringMonomorphism_1402 → T_IsSemiringHomomorphism_1366 Source #
d_IsRingHomomorphism_2500 ∷ p → p → p → p → p → p → p → () Source #
data T_IsRingHomomorphism_2500 Source #
Constructors
| C_constructor_2540 T_IsSemiringHomomorphism_1366 (AgdaAny → AgdaAny) |
d_'42''45'isMagmaHomomorphism_2516 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingHomomorphism_2500 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_2516 ∷ T_IsRingHomomorphism_2500 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMonoidHomomorphism_2518 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingHomomorphism_2500 → T_IsMonoidHomomorphism_380 Source #
du_'42''45'isMonoidHomomorphism_2518 ∷ T_IsRingHomomorphism_2500 → T_IsMonoidHomomorphism_380 Source #
d_'43''45'isMonoidHomomorphism_2524 ∷ T_IsRingHomomorphism_2500 → T_IsMonoidHomomorphism_380 Source #
d_isNearSemiringHomomorphism_2530 ∷ T_IsRingHomomorphism_2500 → T_IsNearSemiringHomomorphism_982 Source #
d_'43''45'isGroupHomomorphism_2536 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingHomomorphism_2500 → T_IsGroupHomomorphism_670 Source #
du_'43''45'isGroupHomomorphism_2536 ∷ T_IsRingHomomorphism_2500 → T_IsGroupHomomorphism_670 Source #
d_isRingWithoutOneHomomorphism_2538 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingHomomorphism_2500 → T_IsRingWithoutOneHomomorphism_1842 Source #
du_isRingWithoutOneHomomorphism_2538 ∷ T_IsRingHomomorphism_2500 → T_IsRingWithoutOneHomomorphism_1842 Source #
d_IsRingMonomorphism_2544 ∷ p → p → p → p → p → p → p → () Source #
data T_IsRingMonomorphism_2544 Source #
Constructors
| C_constructor_2606 T_IsRingHomomorphism_2500 (AgdaAny → AgdaAny → AgdaAny → AgdaAny) |
d_'42''45'isMagmaHomomorphism_2560 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingMonomorphism_2544 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_2560 ∷ T_IsRingMonomorphism_2544 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMonoidHomomorphism_2562 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingMonomorphism_2544 → T_IsMonoidHomomorphism_380 Source #
du_'42''45'isMonoidHomomorphism_2562 ∷ T_IsRingMonomorphism_2544 → T_IsMonoidHomomorphism_380 Source #
d_'43''45'isGroupHomomorphism_2566 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingMonomorphism_2544 → T_IsGroupHomomorphism_670 Source #
du_'43''45'isGroupHomomorphism_2566 ∷ T_IsRingMonomorphism_2544 → T_IsGroupHomomorphism_670 Source #
d_'43''45'isMonoidHomomorphism_2570 ∷ T_IsRingMonomorphism_2544 → T_IsMonoidHomomorphism_380 Source #
d_isNearSemiringHomomorphism_2578 ∷ T_IsRingMonomorphism_2544 → T_IsNearSemiringHomomorphism_982 Source #
d_isRingWithoutOneHomomorphism_2582 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingMonomorphism_2544 → T_IsRingWithoutOneHomomorphism_1842 Source #
du_isRingWithoutOneHomomorphism_2582 ∷ T_IsRingMonomorphism_2544 → T_IsRingWithoutOneHomomorphism_1842 Source #
d_isSemiringMonomorphism_2588 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingMonomorphism_2544 → T_IsSemiringMonomorphism_1402 Source #
d_'43''45'isGroupMonomorphism_2590 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingMonomorphism_2544 → T_IsGroupMonomorphism_698 Source #
du_'43''45'isGroupMonomorphism_2590 ∷ T_IsRingMonomorphism_2544 → T_IsGroupMonomorphism_698 Source #
d_isMagmaMonomorphism_2594 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingMonomorphism_2544 → T_IsMagmaMonomorphism_214 Source #
d_isMonoidMonomorphism_2596 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingMonomorphism_2544 → T_IsMonoidMonomorphism_404 Source #
d_isRelMonomorphism_2598 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingMonomorphism_2544 → T_IsRelMonomorphism_66 Source #
d_'42''45'isMonoidMonomorphism_2600 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingMonomorphism_2544 → T_IsMonoidMonomorphism_404 Source #
du_'42''45'isMonoidMonomorphism_2600 ∷ T_IsRingMonomorphism_2544 → T_IsMonoidMonomorphism_404 Source #
d_isMagmaMonomorphism_2604 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingMonomorphism_2544 → T_IsMagmaMonomorphism_214 Source #
d_IsRingIsomorphism_2610 ∷ p → p → p → p → p → p → p → () Source #
data T_IsRingIsomorphism_2610 Source #
Constructors
| C_constructor_2684 T_IsRingMonomorphism_2544 (AgdaAny → T_Σ_14) |
d_'42''45'isMagmaHomomorphism_2626 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingIsomorphism_2610 → T_IsMagmaHomomorphism_194 Source #
d_isMagmaMonomorphism_2628 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingIsomorphism_2610 → T_IsMagmaMonomorphism_214 Source #
d_'42''45'isMonoidHomomorphism_2630 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingIsomorphism_2610 → T_IsMonoidHomomorphism_380 Source #
du_'42''45'isMonoidHomomorphism_2630 ∷ T_IsRingIsomorphism_2610 → T_IsMonoidHomomorphism_380 Source #
d_'42''45'isMonoidMonomorphism_2632 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingIsomorphism_2610 → T_IsMonoidMonomorphism_404 Source #
du_'42''45'isMonoidMonomorphism_2632 ∷ T_IsRingIsomorphism_2610 → T_IsMonoidMonomorphism_404 Source #
d_'43''45'isGroupHomomorphism_2636 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingIsomorphism_2610 → T_IsGroupHomomorphism_670 Source #
d_'43''45'isGroupMonomorphism_2638 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingIsomorphism_2610 → T_IsGroupMonomorphism_698 Source #
d_'43''45'isMonoidHomomorphism_2642 ∷ T_IsRingIsomorphism_2610 → T_IsMonoidHomomorphism_380 Source #
d_isNearSemiringHomomorphism_2652 ∷ T_IsRingIsomorphism_2610 → T_IsNearSemiringHomomorphism_982 Source #
d_isRingWithoutOneHomomorphism_2658 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingIsomorphism_2610 → T_IsRingWithoutOneHomomorphism_1842 Source #
du_isRingWithoutOneHomomorphism_2658 ∷ T_IsRingIsomorphism_2610 → T_IsRingWithoutOneHomomorphism_1842 Source #
d_isSemiringMonomorphism_2662 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingIsomorphism_2610 → T_IsSemiringMonomorphism_1402 Source #
d_isSemiringIsomorphism_2666 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingIsomorphism_2610 → T_IsSemiringIsomorphism_1452 Source #
d_'43''45'isGroupIsomorphism_2668 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingIsomorphism_2610 → T_IsGroupIsomorphism_738 Source #
d_isMagmaIsomorphism_2672 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingIsomorphism_2610 → T_IsMagmaIsomorphism_240 Source #
d_isMonoidIsomorphism_2674 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingIsomorphism_2610 → T_IsMonoidIsomorphism_438 Source #
d_isRelIsomorphism_2676 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingIsomorphism_2610 → T_IsRelIsomorphism_98 Source #
d_'42''45'isMonoidIsomorphism_2678 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingIsomorphism_2610 → T_IsMonoidIsomorphism_438 Source #
d_isMagmaIsomorphism_2682 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawRing_290 → T_RawRing_290 → (AgdaAny → AgdaAny) → T_IsRingIsomorphism_2610 → T_IsMagmaIsomorphism_240 Source #
d__'47''47'__2702 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → AgdaAny → AgdaAny → AgdaAny Source #
d__'92''92'__2704 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → AgdaAny → AgdaAny → AgdaAny Source #
d__'8729'__2706 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → AgdaAny → AgdaAny → AgdaAny Source #
d__'8776'__2708 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → AgdaAny → AgdaAny → () Source #
d_Carrier_2714 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → () Source #
d_IsMagmaHomomorphism_2742 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaIsomorphism_2746 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaMonomorphism_2750 ∷ p → p → p → p → p → p → p → () Source #
d_isRelIsomorphism_2774 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
du_isRelIsomorphism_2774 ∷ (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_2776 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelMonomorphism_66 Source #
d_isRelMonomorphism_2792 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
du_isRelMonomorphism_2792 ∷ (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
d_IsMagmaHomomorphism_2798 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaIsomorphism_2802 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaMonomorphism_2806 ∷ p → p → p → p → p → p → p → () Source #
d_isRelIsomorphism_2830 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
du_isRelIsomorphism_2830 ∷ (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_2832 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelMonomorphism_66 Source #
d_isRelMonomorphism_2848 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
du_isRelMonomorphism_2848 ∷ (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
d_IsMagmaHomomorphism_2854 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaIsomorphism_2858 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaMonomorphism_2862 ∷ p → p → p → p → p → p → p → () Source #
d_isRelIsomorphism_2886 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
du_isRelIsomorphism_2886 ∷ (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_2888 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelMonomorphism_66 Source #
d_isRelMonomorphism_2904 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
du_isRelMonomorphism_2904 ∷ (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
d_Homomorphic'8322'_2914 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d_IsQuasigroupHomomorphism_2920 ∷ p → p → p → p → p → p → p → () Source #
d_'8729''45'isMagmaHomomorphism_2944 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupHomomorphism_2920 → T_IsMagmaHomomorphism_194 Source #
du_'8729''45'isMagmaHomomorphism_2944 ∷ T_IsQuasigroupHomomorphism_2920 → T_IsMagmaHomomorphism_194 Source #
d_'92''92''45'isMagmaHomomorphism_2946 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupHomomorphism_2920 → T_IsMagmaHomomorphism_194 Source #
du_'92''92''45'isMagmaHomomorphism_2946 ∷ T_IsQuasigroupHomomorphism_2920 → T_IsMagmaHomomorphism_194 Source #
d_'47''47''45'isMagmaHomomorphism_2948 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupHomomorphism_2920 → T_IsMagmaHomomorphism_194 Source #
du_'47''47''45'isMagmaHomomorphism_2948 ∷ T_IsQuasigroupHomomorphism_2920 → T_IsMagmaHomomorphism_194 Source #
d_IsQuasigroupMonomorphism_2954 ∷ p → p → p → p → p → p → p → () Source #
data T_IsQuasigroupMonomorphism_2954 Source #
Constructors
| C_constructor_2994 T_IsQuasigroupHomomorphism_2920 (AgdaAny → AgdaAny → AgdaAny → AgdaAny) |
d_isQuasigroupHomomorphism_2962 ∷ T_IsQuasigroupMonomorphism_2954 → T_IsQuasigroupHomomorphism_2920 Source #
d_'47''47''45'isMagmaHomomorphism_2970 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupMonomorphism_2954 → T_IsMagmaHomomorphism_194 Source #
du_'47''47''45'isMagmaHomomorphism_2970 ∷ T_IsQuasigroupMonomorphism_2954 → T_IsMagmaHomomorphism_194 Source #
d_'92''92''45'isMagmaHomomorphism_2974 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupMonomorphism_2954 → T_IsMagmaHomomorphism_194 Source #
du_'92''92''45'isMagmaHomomorphism_2974 ∷ T_IsQuasigroupMonomorphism_2954 → T_IsMagmaHomomorphism_194 Source #
d_'8729''45'isMagmaHomomorphism_2980 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupMonomorphism_2954 → T_IsMagmaHomomorphism_194 Source #
du_'8729''45'isMagmaHomomorphism_2980 ∷ T_IsQuasigroupMonomorphism_2954 → T_IsMagmaHomomorphism_194 Source #
d_'8729''45'isMagmaMonomorphism_2984 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupMonomorphism_2954 → T_IsMagmaMonomorphism_214 Source #
du_'8729''45'isMagmaMonomorphism_2984 ∷ T_IsQuasigroupMonomorphism_2954 → T_IsMagmaMonomorphism_214 Source #
d_'92''92''45'isMagmaMonomorphism_2986 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupMonomorphism_2954 → T_IsMagmaMonomorphism_214 Source #
du_'92''92''45'isMagmaMonomorphism_2986 ∷ T_IsQuasigroupMonomorphism_2954 → T_IsMagmaMonomorphism_214 Source #
d_'47''47''45'isMagmaMonomorphism_2988 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupMonomorphism_2954 → T_IsMagmaMonomorphism_214 Source #
du_'47''47''45'isMagmaMonomorphism_2988 ∷ T_IsQuasigroupMonomorphism_2954 → T_IsMagmaMonomorphism_214 Source #
d_isRelMonomorphism_2992 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupMonomorphism_2954 → T_IsRelMonomorphism_66 Source #
d_IsQuasigroupIsomorphism_2998 ∷ p → p → p → p → p → p → p → () Source #
data T_IsQuasigroupIsomorphism_2998 Source #
Constructors
| C_constructor_3050 T_IsQuasigroupMonomorphism_2954 (AgdaAny → T_Σ_14) |
d_isQuasigroupMonomorphism_3006 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsQuasigroupMonomorphism_2954 Source #
d_'47''47''45'isMagmaHomomorphism_3014 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaHomomorphism_194 Source #
du_'47''47''45'isMagmaHomomorphism_3014 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsMagmaHomomorphism_194 Source #
d_'47''47''45'isMagmaMonomorphism_3016 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaMonomorphism_214 Source #
du_'47''47''45'isMagmaMonomorphism_3016 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsMagmaMonomorphism_214 Source #
d_'92''92''45'isMagmaHomomorphism_3020 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaHomomorphism_194 Source #
du_'92''92''45'isMagmaHomomorphism_3020 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsMagmaHomomorphism_194 Source #
d_'92''92''45'isMagmaMonomorphism_3022 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaMonomorphism_214 Source #
du_'92''92''45'isMagmaMonomorphism_3022 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsMagmaMonomorphism_214 Source #
d_isQuasigroupHomomorphism_3026 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsQuasigroupHomomorphism_2920 Source #
d_isRelMonomorphism_3030 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsRelMonomorphism_66 Source #
d_'8729''45'isMagmaHomomorphism_3034 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaHomomorphism_194 Source #
du_'8729''45'isMagmaHomomorphism_3034 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsMagmaHomomorphism_194 Source #
d_'8729''45'isMagmaMonomorphism_3036 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaMonomorphism_214 Source #
du_'8729''45'isMagmaMonomorphism_3036 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsMagmaMonomorphism_214 Source #
d_'8729''45'isMagmaIsomorphism_3040 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaIsomorphism_240 Source #
du_'8729''45'isMagmaIsomorphism_3040 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsMagmaIsomorphism_240 Source #
d_'92''92''45'isMagmaIsomorphism_3042 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaIsomorphism_240 Source #
du_'92''92''45'isMagmaIsomorphism_3042 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsMagmaIsomorphism_240 Source #
d_'47''47''45'isMagmaIsomorphism_3044 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaIsomorphism_240 Source #
du_'47''47''45'isMagmaIsomorphism_3044 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsMagmaIsomorphism_240 Source #
d_isRelIsomorphism_3048 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawQuasigroup_350 → T_RawQuasigroup_350 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsRelIsomorphism_98 Source #
d__'8776'__3074 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → AgdaAny → AgdaAny → () Source #
d_Carrier_3080 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → () Source #
d_ε_3086 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → AgdaAny Source #
d_Homomorphic'8320'_3116 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → AgdaAny → AgdaAny → () Source #
d_IsQuasigroupHomomorphism_3126 ∷ p → p → p → p → p → p → p → () Source #
d_IsQuasigroupIsomorphism_3130 ∷ p → p → p → p → p → p → p → () Source #
d_IsQuasigroupMonomorphism_3134 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaHomomorphism_3140 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaIsomorphism_3144 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaMonomorphism_3148 ∷ p → p → p → p → p → p → p → () Source #
d_isRelIsomorphism_3172 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
du_isRelIsomorphism_3172 ∷ (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_3174 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelMonomorphism_66 Source #
d_isRelMonomorphism_3190 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
du_isRelMonomorphism_3190 ∷ (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
d_'47''47''45'isMagmaHomomorphism_3198 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupHomomorphism_2920 → T_IsMagmaHomomorphism_194 Source #
du_'47''47''45'isMagmaHomomorphism_3198 ∷ (AgdaAny → AgdaAny) → T_IsQuasigroupHomomorphism_2920 → T_IsMagmaHomomorphism_194 Source #
d_'92''92''45'isMagmaHomomorphism_3202 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupHomomorphism_2920 → T_IsMagmaHomomorphism_194 Source #
du_'92''92''45'isMagmaHomomorphism_3202 ∷ (AgdaAny → AgdaAny) → T_IsQuasigroupHomomorphism_2920 → T_IsMagmaHomomorphism_194 Source #
d_'8729''45'isMagmaHomomorphism_3208 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupHomomorphism_2920 → T_IsMagmaHomomorphism_194 Source #
du_'8729''45'isMagmaHomomorphism_3208 ∷ (AgdaAny → AgdaAny) → T_IsQuasigroupHomomorphism_2920 → T_IsMagmaHomomorphism_194 Source #
d_'47''47''45'isMagmaHomomorphism_3216 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaHomomorphism_194 Source #
du_'47''47''45'isMagmaHomomorphism_3216 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsMagmaHomomorphism_194 Source #
d_'47''47''45'isMagmaIsomorphism_3218 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaIsomorphism_240 Source #
du_'47''47''45'isMagmaIsomorphism_3218 ∷ (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaIsomorphism_240 Source #
d_'47''47''45'isMagmaMonomorphism_3220 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaMonomorphism_214 Source #
du_'47''47''45'isMagmaMonomorphism_3220 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsMagmaMonomorphism_214 Source #
d_'92''92''45'isMagmaHomomorphism_3224 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaHomomorphism_194 Source #
du_'92''92''45'isMagmaHomomorphism_3224 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsMagmaHomomorphism_194 Source #
d_'92''92''45'isMagmaIsomorphism_3226 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaIsomorphism_240 Source #
du_'92''92''45'isMagmaIsomorphism_3226 ∷ (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaIsomorphism_240 Source #
d_'92''92''45'isMagmaMonomorphism_3228 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaMonomorphism_214 Source #
du_'92''92''45'isMagmaMonomorphism_3228 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsMagmaMonomorphism_214 Source #
d_isQuasigroupHomomorphism_3232 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsQuasigroupHomomorphism_2920 Source #
d_isQuasigroupMonomorphism_3234 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsQuasigroupMonomorphism_2954 Source #
d_isRelIsomorphism_3238 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_3240 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsRelMonomorphism_66 Source #
d_'8729''45'isMagmaHomomorphism_3246 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaHomomorphism_194 Source #
du_'8729''45'isMagmaHomomorphism_3246 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsMagmaHomomorphism_194 Source #
d_'8729''45'isMagmaIsomorphism_3248 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaIsomorphism_240 Source #
du_'8729''45'isMagmaIsomorphism_3248 ∷ (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaIsomorphism_240 Source #
d_'8729''45'isMagmaMonomorphism_3250 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupIsomorphism_2998 → T_IsMagmaMonomorphism_214 Source #
du_'8729''45'isMagmaMonomorphism_3250 ∷ T_IsQuasigroupIsomorphism_2998 → T_IsMagmaMonomorphism_214 Source #
d_'47''47''45'isMagmaHomomorphism_3258 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupMonomorphism_2954 → T_IsMagmaHomomorphism_194 Source #
du_'47''47''45'isMagmaHomomorphism_3258 ∷ T_IsQuasigroupMonomorphism_2954 → T_IsMagmaHomomorphism_194 Source #
d_'47''47''45'isMagmaMonomorphism_3260 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupMonomorphism_2954 → T_IsMagmaMonomorphism_214 Source #
du_'47''47''45'isMagmaMonomorphism_3260 ∷ (AgdaAny → AgdaAny) → T_IsQuasigroupMonomorphism_2954 → T_IsMagmaMonomorphism_214 Source #
d_'92''92''45'isMagmaHomomorphism_3264 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupMonomorphism_2954 → T_IsMagmaHomomorphism_194 Source #
du_'92''92''45'isMagmaHomomorphism_3264 ∷ T_IsQuasigroupMonomorphism_2954 → T_IsMagmaHomomorphism_194 Source #
d_'92''92''45'isMagmaMonomorphism_3266 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupMonomorphism_2954 → T_IsMagmaMonomorphism_214 Source #
du_'92''92''45'isMagmaMonomorphism_3266 ∷ (AgdaAny → AgdaAny) → T_IsQuasigroupMonomorphism_2954 → T_IsMagmaMonomorphism_214 Source #
d_isQuasigroupHomomorphism_3270 ∷ T_IsQuasigroupMonomorphism_2954 → T_IsQuasigroupHomomorphism_2920 Source #
d_isRelMonomorphism_3274 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupMonomorphism_2954 → T_IsRelMonomorphism_66 Source #
d_'8729''45'isMagmaHomomorphism_3278 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupMonomorphism_2954 → T_IsMagmaHomomorphism_194 Source #
du_'8729''45'isMagmaHomomorphism_3278 ∷ T_IsQuasigroupMonomorphism_2954 → T_IsMagmaHomomorphism_194 Source #
d_'8729''45'isMagmaMonomorphism_3280 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsQuasigroupMonomorphism_2954 → T_IsMagmaMonomorphism_214 Source #
du_'8729''45'isMagmaMonomorphism_3280 ∷ (AgdaAny → AgdaAny) → T_IsQuasigroupMonomorphism_2954 → T_IsMagmaMonomorphism_214 Source #
d_IsMagmaHomomorphism_3286 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaIsomorphism_3290 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaMonomorphism_3294 ∷ p → p → p → p → p → p → p → () Source #
d_isRelIsomorphism_3318 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
du_isRelIsomorphism_3318 ∷ (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_3320 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelMonomorphism_66 Source #
d_isRelMonomorphism_3336 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
du_isRelMonomorphism_3336 ∷ (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
d_IsMagmaHomomorphism_3342 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaIsomorphism_3346 ∷ p → p → p → p → p → p → p → () Source #
d_IsMagmaMonomorphism_3350 ∷ p → p → p → p → p → p → p → () Source #
d_isRelIsomorphism_3374 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
du_isRelIsomorphism_3374 ∷ (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelIsomorphism_98 Source #
d_isRelMonomorphism_3376 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsMagmaIsomorphism_240 → T_IsRelMonomorphism_66 Source #
d_isRelMonomorphism_3392 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
du_isRelMonomorphism_3392 ∷ (AgdaAny → AgdaAny) → T_IsMagmaMonomorphism_214 → T_IsRelMonomorphism_66 Source #
d_IsLoopHomomorphism_3398 ∷ p → p → p → p → p → p → p → () Source #
data T_IsLoopHomomorphism_3398 Source #
Constructors
| C_constructor_3428 T_IsQuasigroupHomomorphism_2920 AgdaAny |
d_isQuasigroupHomomorphism_3406 ∷ T_IsLoopHomomorphism_3398 → T_IsQuasigroupHomomorphism_2920 Source #
d_'47''47''45'isMagmaHomomorphism_3414 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsLoopHomomorphism_3398 → T_IsMagmaHomomorphism_194 Source #
du_'47''47''45'isMagmaHomomorphism_3414 ∷ T_IsLoopHomomorphism_3398 → T_IsMagmaHomomorphism_194 Source #
d_'92''92''45'isMagmaHomomorphism_3418 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsLoopHomomorphism_3398 → T_IsMagmaHomomorphism_194 Source #
du_'92''92''45'isMagmaHomomorphism_3418 ∷ T_IsLoopHomomorphism_3398 → T_IsMagmaHomomorphism_194 Source #
d_'8729''45'isMagmaHomomorphism_3424 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsLoopHomomorphism_3398 → T_IsMagmaHomomorphism_194 Source #
du_'8729''45'isMagmaHomomorphism_3424 ∷ T_IsLoopHomomorphism_3398 → T_IsMagmaHomomorphism_194 Source #
d_IsLoopMonomorphism_3432 ∷ p → p → p → p → p → p → p → () Source #
data T_IsLoopMonomorphism_3432 Source #
Constructors
| C_constructor_3466 T_IsLoopHomomorphism_3398 (AgdaAny → AgdaAny → AgdaAny → AgdaAny) |
d_'47''47''45'isMagmaHomomorphism_3448 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsLoopMonomorphism_3432 → T_IsMagmaHomomorphism_194 Source #
du_'47''47''45'isMagmaHomomorphism_3448 ∷ T_IsLoopMonomorphism_3432 → T_IsMagmaHomomorphism_194 Source #
d_'92''92''45'isMagmaHomomorphism_3452 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsLoopMonomorphism_3432 → T_IsMagmaHomomorphism_194 Source #
du_'92''92''45'isMagmaHomomorphism_3452 ∷ T_IsLoopMonomorphism_3432 → T_IsMagmaHomomorphism_194 Source #
d_isQuasigroupHomomorphism_3454 ∷ T_IsLoopMonomorphism_3432 → T_IsQuasigroupHomomorphism_2920 Source #
d_'8729''45'isMagmaHomomorphism_3462 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsLoopMonomorphism_3432 → T_IsMagmaHomomorphism_194 Source #
du_'8729''45'isMagmaHomomorphism_3462 ∷ T_IsLoopMonomorphism_3432 → T_IsMagmaHomomorphism_194 Source #
d_IsLoopIsomorphism_3470 ∷ p → p → p → p → p → p → p → () Source #
data T_IsLoopIsomorphism_3470 Source #
Constructors
| C_constructor_3508 T_IsLoopMonomorphism_3432 (AgdaAny → T_Σ_14) |
d_'47''47''45'isMagmaHomomorphism_3486 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsLoopIsomorphism_3470 → T_IsMagmaHomomorphism_194 Source #
du_'47''47''45'isMagmaHomomorphism_3486 ∷ T_IsLoopIsomorphism_3470 → T_IsMagmaHomomorphism_194 Source #
d_'92''92''45'isMagmaHomomorphism_3490 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsLoopIsomorphism_3470 → T_IsMagmaHomomorphism_194 Source #
du_'92''92''45'isMagmaHomomorphism_3490 ∷ T_IsLoopIsomorphism_3470 → T_IsMagmaHomomorphism_194 Source #
d_isQuasigroupHomomorphism_3496 ∷ T_IsLoopIsomorphism_3470 → T_IsQuasigroupHomomorphism_2920 Source #
d_'8729''45'isMagmaHomomorphism_3504 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawLoop_392 → T_RawLoop_392 → (AgdaAny → AgdaAny) → T_IsLoopIsomorphism_3470 → T_IsMagmaHomomorphism_194 Source #
du_'8729''45'isMagmaHomomorphism_3504 ∷ T_IsLoopIsomorphism_3470 → T_IsMagmaHomomorphism_194 Source #
d__'8776'__3530 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → AgdaAny → AgdaAny → () Source #
d__'8902'_3534 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → AgdaAny → AgdaAny Source #
d_Carrier_3548 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → () Source #
d_Homomorphic'8321'_3584 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → (AgdaAny → AgdaAny) → (AgdaAny → AgdaAny) → () Source #
d_IsSemiringHomomorphism_3592 ∷ p → p → p → p → p → p → p → () Source #
d_IsSemiringIsomorphism_3596 ∷ p → p → p → p → p → p → p → () Source #
d_IsSemiringMonomorphism_3600 ∷ p → p → p → p → p → p → p → () Source #
d_'42''45'isMagmaHomomorphism_3608 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringHomomorphism_1366 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_3608 ∷ T_IsSemiringHomomorphism_1366 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMonoidHomomorphism_3610 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringHomomorphism_1366 → T_IsMonoidHomomorphism_380 Source #
du_'42''45'isMonoidHomomorphism_3610 ∷ (AgdaAny → AgdaAny) → T_IsSemiringHomomorphism_1366 → T_IsMonoidHomomorphism_380 Source #
d_'43''45'isMonoidHomomorphism_3616 ∷ T_IsSemiringHomomorphism_1366 → T_IsMonoidHomomorphism_380 Source #
d_isNearSemiringHomomorphism_3622 ∷ T_IsSemiringHomomorphism_1366 → T_IsNearSemiringHomomorphism_982 Source #
d_'42''45'isMagmaHomomorphism_3632 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_3632 ∷ T_IsSemiringIsomorphism_1452 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMagmaIsomorphism_3634 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMagmaIsomorphism_240 Source #
du_'42''45'isMagmaIsomorphism_3634 ∷ T_IsSemiringIsomorphism_1452 → T_IsMagmaIsomorphism_240 Source #
d_'42''45'isMagmaMonomorphism_3636 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMagmaMonomorphism_214 Source #
du_'42''45'isMagmaMonomorphism_3636 ∷ T_IsSemiringIsomorphism_1452 → T_IsMagmaMonomorphism_214 Source #
d_'42''45'isMonoidHomomorphism_3638 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMonoidHomomorphism_380 Source #
du_'42''45'isMonoidHomomorphism_3638 ∷ T_IsSemiringIsomorphism_1452 → T_IsMonoidHomomorphism_380 Source #
d_'42''45'isMonoidIsomorphism_3640 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMonoidIsomorphism_438 Source #
du_'42''45'isMonoidIsomorphism_3640 ∷ (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMonoidIsomorphism_438 Source #
d_'42''45'isMonoidMonomorphism_3642 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMonoidMonomorphism_404 Source #
du_'42''45'isMonoidMonomorphism_3642 ∷ T_IsSemiringIsomorphism_1452 → T_IsMonoidMonomorphism_404 Source #
d_'43''45'isMonoidHomomorphism_3648 ∷ T_IsSemiringIsomorphism_1452 → T_IsMonoidHomomorphism_380 Source #
d_'43''45'isMonoidIsomorphism_3650 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMonoidIsomorphism_438 Source #
du_'43''45'isMonoidIsomorphism_3650 ∷ T_IsSemiringIsomorphism_1452 → T_IsMonoidIsomorphism_438 Source #
d_'43''45'isMonoidMonomorphism_3652 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsMonoidMonomorphism_404 Source #
du_'43''45'isMonoidMonomorphism_3652 ∷ T_IsSemiringIsomorphism_1452 → T_IsMonoidMonomorphism_404 Source #
d_isNearSemiringHomomorphism_3660 ∷ T_IsSemiringIsomorphism_1452 → T_IsNearSemiringHomomorphism_982 Source #
d_isNearSemiringIsomorphism_3662 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsNearSemiringIsomorphism_1056 Source #
du_isNearSemiringIsomorphism_3662 ∷ (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsNearSemiringIsomorphism_1056 Source #
d_isNearSemiringMonomorphism_3664 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringIsomorphism_1452 → T_IsNearSemiringMonomorphism_1012 Source #
du_isNearSemiringMonomorphism_3664 ∷ T_IsSemiringIsomorphism_1452 → T_IsNearSemiringMonomorphism_1012 Source #
d_isSemiringHomomorphism_3668 ∷ T_IsSemiringIsomorphism_1452 → T_IsSemiringHomomorphism_1366 Source #
d_isSemiringMonomorphism_3670 ∷ T_IsSemiringIsomorphism_1452 → T_IsSemiringMonomorphism_1402 Source #
d_'42''45'isMagmaHomomorphism_3680 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_3680 ∷ T_IsSemiringMonomorphism_1402 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMagmaMonomorphism_3682 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsMagmaMonomorphism_214 Source #
du_'42''45'isMagmaMonomorphism_3682 ∷ T_IsSemiringMonomorphism_1402 → T_IsMagmaMonomorphism_214 Source #
d_'42''45'isMonoidHomomorphism_3684 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsMonoidHomomorphism_380 Source #
du_'42''45'isMonoidHomomorphism_3684 ∷ T_IsSemiringMonomorphism_1402 → T_IsMonoidHomomorphism_380 Source #
d_'42''45'isMonoidMonomorphism_3686 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsMonoidMonomorphism_404 Source #
du_'42''45'isMonoidMonomorphism_3686 ∷ (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsMonoidMonomorphism_404 Source #
d_'43''45'isMonoidHomomorphism_3692 ∷ T_IsSemiringMonomorphism_1402 → T_IsMonoidHomomorphism_380 Source #
d_'43''45'isMonoidMonomorphism_3694 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsMonoidMonomorphism_404 Source #
du_'43''45'isMonoidMonomorphism_3694 ∷ T_IsSemiringMonomorphism_1402 → T_IsMonoidMonomorphism_404 Source #
d_isNearSemiringHomomorphism_3702 ∷ T_IsSemiringMonomorphism_1402 → T_IsNearSemiringHomomorphism_982 Source #
d_isNearSemiringMonomorphism_3704 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsNearSemiringMonomorphism_1012 Source #
du_isNearSemiringMonomorphism_3704 ∷ (AgdaAny → AgdaAny) → T_IsSemiringMonomorphism_1402 → T_IsNearSemiringMonomorphism_1012 Source #
d_isSemiringHomomorphism_3708 ∷ T_IsSemiringMonomorphism_1402 → T_IsSemiringHomomorphism_1366 Source #
d_IsKleeneAlgebraHomomorphism_3714 ∷ p → p → p → p → p → p → p → () Source #
data T_IsKleeneAlgebraHomomorphism_3714 Source #
Constructors
| C_constructor_3750 T_IsSemiringHomomorphism_1366 (AgdaAny → AgdaAny) |
d_isSemiringHomomorphism_3722 ∷ T_IsKleeneAlgebraHomomorphism_3714 → T_IsSemiringHomomorphism_1366 Source #
d_'42''45'isMagmaHomomorphism_3730 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsKleeneAlgebraHomomorphism_3714 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_3730 ∷ T_IsKleeneAlgebraHomomorphism_3714 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMonoidHomomorphism_3732 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsKleeneAlgebraHomomorphism_3714 → T_IsMonoidHomomorphism_380 Source #
du_'42''45'isMonoidHomomorphism_3732 ∷ T_IsKleeneAlgebraHomomorphism_3714 → T_IsMonoidHomomorphism_380 Source #
d_isMagmaHomomorphism_3736 ∷ T_IsKleeneAlgebraHomomorphism_3714 → T_IsMagmaHomomorphism_194 Source #
d_'43''45'isMonoidHomomorphism_3738 ∷ T_IsKleeneAlgebraHomomorphism_3714 → T_IsMonoidHomomorphism_380 Source #
d_isNearSemiringHomomorphism_3744 ∷ T_IsKleeneAlgebraHomomorphism_3714 → T_IsNearSemiringHomomorphism_982 Source #
d_IsKleeneAlgebraMonomorphism_3754 ∷ p → p → p → p → p → p → p → () Source #
data T_IsKleeneAlgebraMonomorphism_3754 Source #
Constructors
| C_constructor_3794 T_IsKleeneAlgebraHomomorphism_3714 (AgdaAny → AgdaAny → AgdaAny → AgdaAny) |
d_isKleeneAlgebraHomomorphism_3762 ∷ T_IsKleeneAlgebraMonomorphism_3754 → T_IsKleeneAlgebraHomomorphism_3714 Source #
d_injective_3764 ∷ T_IsKleeneAlgebraMonomorphism_3754 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'isMagmaHomomorphism_3770 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsKleeneAlgebraMonomorphism_3754 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_3770 ∷ T_IsKleeneAlgebraMonomorphism_3754 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMonoidHomomorphism_3772 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsKleeneAlgebraMonomorphism_3754 → T_IsMonoidHomomorphism_380 Source #
du_'42''45'isMonoidHomomorphism_3772 ∷ T_IsKleeneAlgebraMonomorphism_3754 → T_IsMonoidHomomorphism_380 Source #
d_isMagmaHomomorphism_3776 ∷ T_IsKleeneAlgebraMonomorphism_3754 → T_IsMagmaHomomorphism_194 Source #
d_'43''45'isMonoidHomomorphism_3778 ∷ T_IsKleeneAlgebraMonomorphism_3754 → T_IsMonoidHomomorphism_380 Source #
d_isNearSemiringHomomorphism_3784 ∷ T_IsKleeneAlgebraMonomorphism_3754 → T_IsNearSemiringHomomorphism_982 Source #
d_isSemiringHomomorphism_3788 ∷ T_IsKleeneAlgebraMonomorphism_3754 → T_IsSemiringHomomorphism_1366 Source #
d_IsKleeneAlgebraIsomorphism_3798 ∷ p → p → p → p → p → p → p → () Source #
data T_IsKleeneAlgebraIsomorphism_3798 Source #
Constructors
| C_constructor_3842 T_IsKleeneAlgebraMonomorphism_3754 (AgdaAny → T_Σ_14) |
d_isKleeneAlgebraMonomorphism_3806 ∷ T_IsKleeneAlgebraIsomorphism_3798 → T_IsKleeneAlgebraMonomorphism_3754 Source #
d_'42''45'isMagmaHomomorphism_3814 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsKleeneAlgebraIsomorphism_3798 → T_IsMagmaHomomorphism_194 Source #
du_'42''45'isMagmaHomomorphism_3814 ∷ T_IsKleeneAlgebraIsomorphism_3798 → T_IsMagmaHomomorphism_194 Source #
d_'42''45'isMonoidHomomorphism_3816 ∷ T_Level_18 → T_Level_18 → T_Level_18 → T_Level_18 → T_RawKleeneAlgebra_440 → T_RawKleeneAlgebra_440 → (AgdaAny → AgdaAny) → T_IsKleeneAlgebraIsomorphism_3798 → T_IsMonoidHomomorphism_380 Source #
du_'42''45'isMonoidHomomorphism_3816 ∷ T_IsKleeneAlgebraIsomorphism_3798 → T_IsMonoidHomomorphism_380 Source #
d_'43''45'isMonoidHomomorphism_3822 ∷ T_IsKleeneAlgebraIsomorphism_3798 → T_IsMonoidHomomorphism_380 Source #
d_injective_3828 ∷ T_IsKleeneAlgebraIsomorphism_3798 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isKleeneAlgebraHomomorphism_3830 ∷ T_IsKleeneAlgebraIsomorphism_3798 → T_IsKleeneAlgebraHomomorphism_3714 Source #
d_isNearSemiringHomomorphism_3832 ∷ T_IsKleeneAlgebraIsomorphism_3798 → T_IsNearSemiringHomomorphism_982 Source #