Theorems · Theorem · group theory
AddSubmonoid.map_sup_comap_of_surjective
∀ {M : Type u_1} {N : Type u_2} [inst : AddZeroClass M] [inst_1 : AddZeroClass N] {F : Type u_4}
[inst_2 : FunLike F M N] [mc : AddMonoidHomClass F M N] {f : F},
Function.Surjective ⇑f →
∀ (S T : AddSubmonoid N), AddSubmonoid.map f (AddSubmonoid.comap f S ⊔ AddSubmonoid.comap f T) = S ⊔ T- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- FunLikestatement and proof · cited by 2,560
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement and proof · cited by 1,178
- AddMonoidHomClassstatement and proof · cited by 252
- AddSubmonoid.mapstatement · cited by 99
- AddSubmonoid.comapstatement · cited by 62
- GaloisInsertion.l_sup_uproof · cited by 11
- AddSubmonoid.giMapComapproof · cited by 9
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