Theorems · Theorem · group theory
Submonoid.codisjoint_map
∀ {M : Type u_1} {N : Type u_2} [inst : MulOneClass M] [inst_1 : MulOneClass N] {F : Type u_4} [inst_2 : FunLike F M N]
[inst_3 : MonoidHomClass F M N] {f : F},
Function.Surjective ⇑f → ∀ {H K : Submonoid M}, Codisjoint H K → Codisjoint (Submonoid.map f H) (Submonoid.map f K)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
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
- Top.topproof · cited by 9,680
- Submonoidstatement and proof · cited by 3,086
- FunLikestatement and proof · cited by 2,560
- MulOneClassstatement and proof · cited by 1,018
- MonoidHomClassstatement and proof · cited by 244
- Codisjointstatement and proof · cited by 197
- Submonoid.mapstatement and proof · cited by 190
- codisjoint_iffproof · cited by 53
- MonoidHom.mrange_eq_mapproof · cited by 13
- MonoidHom.mrange_eq_top_of_surjectiveproof · cited by 6
- Submonoid.map_supproof · cited by 4
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