Theorems · Theorem · group theory
Subgroup.comap_injective_isMulCommutative
∀ {G : Type u_1} {G' : Type u_2} [inst : Group G] [inst_1 : Group G'] (H : Subgroup G) {f : G' →* G},
Function.Injective ⇑f → ∀ [IsMulCommutative ↥H], IsMulCommutative ↥(Subgroup.comap f H)- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupGroupIsMulCommutative
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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
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- map_mulproof · cited by 1,137
- Subgroup.comapstatement · cited by 154
- IsMulCommutativestatement and proof · cited by 95
- IsMulCommutative.of_setLike_mul_commproof · cited by 16
- setLike_mul_commproof · cited by 6
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