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Theorems · Theorem · group theory

AddSubsemigroup.map_inf_comap_of_surjective

∀ {M : Type u_1} {N : Type u_2} [inst : Add M] [inst_1 : Add N] {f : M →ₙ+ N},
  Function.Surjective ⇑f →
    ∀ (S T : AddSubsemigroup N), AddSubsemigroup.map f (AddSubsemigroup.comap f S ⊓ AddSubsemigroup.comap f T) = S ⊓ T
Defined in
Mathlib.Algebra.Group.Subsemigroup.Operations
Cited by
0 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddAdd
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DFunLike.coe · cited by 62936DFunLike.coeAddHom · cited by 294AddHomAddSubsemigroup · cited by 262AddSubsemigroupAddSubsemigroup.map · cited by 50AddSubsemigroup.mapAddSubsemigroup.comap · cited by 39AddSubsemigroup.comapGaloisInsertion.l_inf_u · cited by 9GaloisInsertion.l_inf_uAddSubsemigroup.giMapComap · cited by 9AddSubsemigroup.giMapComapAddSubsemigroup.map_inf_comap…CITED BYCITES

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