| Safe Haskell | Safe-Inferred |
|---|---|
| Language | Haskell2010 |
MAlonzo.Code.Algebra.Lattice.Properties.BooleanAlgebra
Documentation
d_IsAbelianGroup_116 ∷ p → p → p → p → p → p → () Source #
d_IsCommutativeMonoid_140 ∷ p → p → p → p → p → () Source #
d_IsCommutativeRing_144 ∷ p → p → p → p → p → p → p → p → () Source #
d_IsCommutativeSemiring_152 ∷ p → p → p → p → p → p → p → () Source #
d_IsGroup_164 ∷ p → p → p → p → p → p → () Source #
d_IsMagma_204 ∷ p → p → p → p → () Source #
d_IsMonoid_216 ∷ p → p → p → p → p → () Source #
d_IsRing_248 ∷ p → p → p → p → p → p → p → p → () Source #
d_IsSemigroup_260 ∷ p → p → p → p → () Source #
d_IsSemiring_268 ∷ p → p → p → p → p → p → p → () Source #
d_'8729''45'cong_1570 ∷ T_IsMagma_178 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'assoc_2184 ∷ T_IsRing_2740 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'42''45'cong_2186 ∷ T_IsRing_2740 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_assoc_2412 ∷ T_IsSemigroup_488 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_isSemiringWithoutAnnihilatingZero_2530 ∷ T_IsSemiring_1640 → T_IsSemiringWithoutAnnihilatingZero_1536 Source #
d__DistributesOver__2740 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d__DistributesOver'691'__2742 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d__DistributesOver'737'__2744 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d_Associative_2760 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d_Commutative_2764 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d_Congruent'8322'_2768 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d_Identity_2780 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d_Inverse_2784 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → (AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d_Involutive_2788 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny) → () Source #
d_LeftIdentity_2806 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d_LeftInverse_2808 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → (AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d_LeftZero_2814 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d_RightIdentity_2836 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d_RightInverse_2838 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → (AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d_RightZero_2844 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d_Zero_2864 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → (AgdaAny → AgdaAny → AgdaAny) → () Source #
d_IsBooleanAlgebra_3006 ∷ p → p → p → p → p → p → p → p → () Source #
d_'8743''45'isOrderTheoreticJoinSemilattice_3484 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsJoinSemilattice_22 Source #
du_'8743''45'isOrderTheoreticJoinSemilattice_3484 ∷ T_BooleanAlgebra_698 → T_IsJoinSemilattice_22 Source #
d_'8743''45'isOrderTheoreticMeetSemilattice_3486 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsMeetSemilattice_184 Source #
du_'8743''45'isOrderTheoreticMeetSemilattice_3486 ∷ T_BooleanAlgebra_698 → T_IsMeetSemilattice_184 Source #
d_'8743''45'isSemigroup_3488 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsSemigroup_488 Source #
d_'8743''45'isSemilattice_3490 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsCommutativeBand_612 Source #
d_'8743''45'orderTheoreticJoinSemilattice_3492 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_JoinSemilattice_14 Source #
du_'8743''45'orderTheoreticJoinSemilattice_3492 ∷ T_BooleanAlgebra_698 → T_JoinSemilattice_14 Source #
d_'8743''45'orderTheoreticMeetSemilattice_3494 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_MeetSemilattice_204 Source #
du_'8743''45'orderTheoreticMeetSemilattice_3494 ∷ T_BooleanAlgebra_698 → T_MeetSemilattice_204 Source #
d_'8743''45'semilattice_3496 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_Semilattice_10 Source #
d_'8743''45''8744''45'distributiveLattice_3498 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_DistributiveLattice_598 Source #
du_'8743''45''8744''45'distributiveLattice_3498 ∷ T_BooleanAlgebra_698 → T_DistributiveLattice_598 Source #
d_'8743''45''8744''45'isDistributiveLattice_3500 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsDistributiveLattice_3146 Source #
du_'8743''45''8744''45'isDistributiveLattice_3500 ∷ T_BooleanAlgebra_698 → T_IsDistributiveLattice_3146 Source #
d_'8743''45''8744''45'isLattice_3502 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsLattice_3070 Source #
d_'8743''45''8744''45'lattice_3504 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_Lattice_512 Source #
d_'8743''45'isOrderTheoreticJoinSemilattice_3512 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsJoinSemilattice_22 Source #
du_'8743''45'isOrderTheoreticJoinSemilattice_3512 ∷ T_BooleanAlgebra_698 → T_IsJoinSemilattice_22 Source #
d_'8743''45'isOrderTheoreticMeetSemilattice_3514 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsMeetSemilattice_184 Source #
du_'8743''45'isOrderTheoreticMeetSemilattice_3514 ∷ T_BooleanAlgebra_698 → T_IsMeetSemilattice_184 Source #
d_'8744''45'isSemigroup_3516 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsSemigroup_488 Source #
d_'8744''45'isSemilattice_3518 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsCommutativeBand_612 Source #
d_'8743''45'orderTheoreticJoinSemilattice_3520 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_JoinSemilattice_14 Source #
du_'8743''45'orderTheoreticJoinSemilattice_3520 ∷ T_BooleanAlgebra_698 → T_JoinSemilattice_14 Source #
d_'8743''45'orderTheoreticMeetSemilattice_3522 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_MeetSemilattice_204 Source #
du_'8743''45'orderTheoreticMeetSemilattice_3522 ∷ T_BooleanAlgebra_698 → T_MeetSemilattice_204 Source #
d_'8744''45'semilattice_3524 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_Semilattice_10 Source #
d_'8744''45''8743''45'isOrderTheoreticLattice_3526 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsLattice_348 Source #
du_'8744''45''8743''45'isOrderTheoreticLattice_3526 ∷ T_BooleanAlgebra_698 → T_IsLattice_348 Source #
d_'8744''45''8743''45'orderTheoreticLattice_3528 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_Lattice_394 Source #
d_'8743''45''8744''45'isBooleanAlgebra_3530 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsBooleanAlgebra_3224 Source #
du_'8743''45''8744''45'isBooleanAlgebra_3530 ∷ T_BooleanAlgebra_698 → T_IsBooleanAlgebra_3224 Source #
d_'8743''45''8744''45'booleanAlgebra_3532 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_BooleanAlgebra_698 Source #
d_'8743''45'identity'691'_3534 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny Source #
d_'8743''45'identity'737'_3538 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny Source #
d_'8744''45'identity'691'_3542 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny Source #
d_'8744''45'identity'737'_3546 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny Source #
d_'8743''45'zero'691'_3550 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny Source #
d_'8743''45'zero'737'_3554 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny Source #
d_'8744''45'zero'691'_3560 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny Source #
d_'8744''45'zero'737'_3564 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny Source #
d_'8744''45''8869''45'isMonoid_3568 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsMonoid_712 Source #
d_'8743''45''8868''45'isMonoid_3570 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsMonoid_712 Source #
d_'8744''45''8869''45'isCommutativeMonoid_3572 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsCommutativeMonoid_764 Source #
du_'8744''45''8869''45'isCommutativeMonoid_3572 ∷ T_BooleanAlgebra_698 → T_IsCommutativeMonoid_764 Source #
d_'8743''45''8868''45'isCommutativeMonoid_3574 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsCommutativeMonoid_764 Source #
du_'8743''45''8868''45'isCommutativeMonoid_3574 ∷ T_BooleanAlgebra_698 → T_IsCommutativeMonoid_764 Source #
d_'8744''45''8743''45'isSemiring_3576 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsSemiring_1640 Source #
d_'8743''45''8744''45'isSemiring_3578 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsSemiring_1640 Source #
d_'8744''45''8743''45'isCommutativeSemiring_3580 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsCommutativeSemiring_1750 Source #
du_'8744''45''8743''45'isCommutativeSemiring_3580 ∷ T_BooleanAlgebra_698 → T_IsCommutativeSemiring_1750 Source #
d_'8743''45''8744''45'isCommutativeSemiring_3582 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsCommutativeSemiring_1750 Source #
du_'8743''45''8744''45'isCommutativeSemiring_3582 ∷ T_BooleanAlgebra_698 → T_IsCommutativeSemiring_1750 Source #
d_'8744''45''8743''45'commutativeSemiring_3584 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_CommutativeSemiring_2524 Source #
du_'8744''45''8743''45'commutativeSemiring_3584 ∷ T_BooleanAlgebra_698 → T_CommutativeSemiring_2524 Source #
d_'8743''45''8744''45'commutativeSemiring_3586 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_CommutativeSemiring_2524 Source #
du_'8743''45''8744''45'commutativeSemiring_3586 ∷ T_BooleanAlgebra_698 → T_CommutativeSemiring_2524 Source #
d_lemma_3592 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_lemma_3592 ∷ T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'172''45'involutive_3606 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny Source #
d_deMorgan'8321'_3614 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny Source #
d_lem'8321'_3624 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny Source #
d_lem'8323'_3626 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny Source #
d_lem'8322'_3628 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny Source #
d_deMorgan'8322'_3634 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny Source #
d__'8853'__3650 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny Source #
d_helper_3660 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_helper_3660 ∷ T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8853''45'cong_3666 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8853''45'cong_3666 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8853''45'comm_3680 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny Source #
du_'8853''45'comm_3680 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny Source #
d_'172''45'distrib'737''45''8853'_3690 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny Source #
du_'172''45'distrib'737''45''8853'_3690 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny Source #
d_lem_3704 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'172''45'distrib'691''45''8853'_3714 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny Source #
du_'172''45'distrib'691''45''8853'_3714 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny Source #
d_'8853''45'annihilates'45''172'_3724 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny Source #
du_'8853''45'annihilates'45''172'_3724 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny Source #
d_'8853''45'identity'737'_3730 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny Source #
du_'8853''45'identity'737'_3730 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny Source #
d_'8853''45'identity'691'_3734 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny Source #
du_'8853''45'identity'691'_3734 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny Source #
d_'8853''45'identity_3736 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_Σ_14 Source #
du_'8853''45'identity_3736 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_Σ_14 Source #
d_'8853''45'inverse'737'_3738 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny Source #
du_'8853''45'inverse'737'_3738 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny Source #
d_'8853''45'inverse'691'_3742 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny Source #
du_'8853''45'inverse'691'_3742 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny Source #
d_'8853''45'inverse_3744 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_Σ_14 Source #
du_'8853''45'inverse_3744 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_Σ_14 Source #
d_'8743''45'distrib'737''45''8853'_3746 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8743''45'distrib'737''45''8853'_3746 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_lem'8322'_3758 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_lem'8321'_3760 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_lem'8323'_3762 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8743''45'distrib'691''45''8853'_3764 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8743''45'distrib'691''45''8853'_3764 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8743''45'distrib'45''8853'_3766 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_Σ_14 Source #
du_'8743''45'distrib'45''8853'_3766 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_Σ_14 Source #
d_lemma'8322'_3776 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_lemma'8322'_3776 ∷ T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8853''45'assoc_3786 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8853''45'assoc_3786 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_lem'8321'_3798 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_lem'8322''8242'_3800 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_lem'8322'_3802 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_lem'8323'_3804 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_lem'8324''8242'_3806 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_lem'8324'_3808 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_lem'8325'_3810 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8853''45'isMagma_3812 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_IsMagma_178 Source #
du_'8853''45'isMagma_3812 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_IsMagma_178 Source #
d_'8853''45'isSemigroup_3814 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_IsSemigroup_488 Source #
du_'8853''45'isSemigroup_3814 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_IsSemigroup_488 Source #
d_'8853''45''8869''45'isMonoid_3816 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_IsMonoid_712 Source #
du_'8853''45''8869''45'isMonoid_3816 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_IsMonoid_712 Source #
d_'8853''45''8869''45'isGroup_3818 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_IsGroup_1074 Source #
du_'8853''45''8869''45'isGroup_3818 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_IsGroup_1074 Source #
d_'8853''45''8869''45'isAbelianGroup_3820 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_IsAbelianGroup_1172 Source #
du_'8853''45''8869''45'isAbelianGroup_3820 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_IsAbelianGroup_1172 Source #
d_'8853''45''8743''45'isRing_3822 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_IsRing_2740 Source #
du_'8853''45''8743''45'isRing_3822 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_IsRing_2740 Source #
d_'8853''45''8743''45'isCommutativeRing_3824 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_IsCommutativeRing_2888 Source #
du_'8853''45''8743''45'isCommutativeRing_3824 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_IsCommutativeRing_2888 Source #
d_'8853''45''8743''45'commutativeRing_3826 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_CommutativeRing_4126 Source #
du_'8853''45''8743''45'commutativeRing_3826 ∷ T_BooleanAlgebra_698 → (AgdaAny → AgdaAny → AgdaAny) → (AgdaAny → AgdaAny → AgdaAny) → T_CommutativeRing_4126 Source #
d_'172''45'distrib'691''45''8853'_3840 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny Source #
du_'172''45'distrib'691''45''8853'_3840 ∷ T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny Source #
d_'172''45'distrib'737''45''8853'_3842 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny Source #
du_'172''45'distrib'737''45''8853'_3842 ∷ T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny Source #
d_'8743''45'distrib'45''8853'_3844 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_Σ_14 Source #
d_'8743''45'distrib'691''45''8853'_3846 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8743''45'distrib'691''45''8853'_3846 ∷ T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8743''45'distrib'737''45''8853'_3848 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8743''45'distrib'737''45''8853'_3848 ∷ T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8853''45'annihilates'45''172'_3850 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny Source #
du_'8853''45'annihilates'45''172'_3850 ∷ T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny Source #
d_'8853''45'assoc_3852 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8853''45'comm_3854 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny Source #
d_'8853''45'cong_3856 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
du_'8853''45'cong_3856 ∷ T_BooleanAlgebra_698 → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny → AgdaAny Source #
d_'8853''45'identity'691'_3860 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny Source #
d_'8853''45'identity'737'_3862 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny Source #
d_'8853''45'inverse'691'_3866 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny Source #
d_'8853''45'inverse'737'_3868 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → AgdaAny → AgdaAny Source #
d_'8853''45'isSemigroup_3872 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsSemigroup_488 Source #
d_'8853''45''8743''45'commutativeRing_3874 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_CommutativeRing_4126 Source #
du_'8853''45''8743''45'commutativeRing_3874 ∷ T_BooleanAlgebra_698 → T_CommutativeRing_4126 Source #
d_'8853''45''8743''45'isCommutativeRing_3876 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsCommutativeRing_2888 Source #
du_'8853''45''8743''45'isCommutativeRing_3876 ∷ T_BooleanAlgebra_698 → T_IsCommutativeRing_2888 Source #
d_'8853''45''8743''45'isRing_3878 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsRing_2740 Source #
d_'8853''45''8869''45'isAbelianGroup_3880 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsAbelianGroup_1172 Source #
d_'8853''45''8869''45'isGroup_3882 ∷ T_Level_18 → T_Level_18 → T_BooleanAlgebra_698 → T_IsGroup_1074 Source #