Theorems · Theorem · group theory
AddSubsemigroup.map_comap_eq_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 : AddSubsemigroup N), AddSubsemigroup.map f (AddSubsemigroup.comap f S) = S- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddHomstatement and proof · cited by 294
- AddSubsemigroupstatement and proof · cited by 262
- AddSubsemigroup.mapstatement · cited by 50
- AddSubsemigroup.comapstatement · cited by 39
- GaloisInsertion.l_u_eqproof · cited by 37
- AddSubsemigroup.giMapComapproof · cited by 9
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