Theorems · Theorem · group theory
MonoidHom.subgroupMap_surjective
∀ {G : Type u_1} {G' : Type u_2} [inst : Group G] [inst_1 : Group G'] (f : G →* G') (H : Subgroup G),
Function.Surjective ⇑(f.subgroupMap H)- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- Subgroup.mapstatement · cited by 301
- Subgroup.toSubmonoidproof · cited by 114
- MonoidHom.subgroupMapstatement · cited by 8
- MonoidHom.submonoidMap_surjectiveproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- alternatingGroup.subgroup_eq_top_of_isPreprimitiveproof · cited by 1
- isZGroup_of_coprimeproof · cited by 1
- Subgroup.card_map_dvdproof · cited by 0
- Subgroup.goursatproof · cited by 0
- IsZGroup.of_surjectiveproof · cited by 0