Theorems · Theorem · group theory
MonoidHom.subgroupMap_apply_coe
∀ {G : Type u_1} {G' : Type u_2} [inst : Group G] [inst_1 : Group G'] (f : G →* G') (H : Subgroup G)
(x : ↥H.toSubmonoid), ↑((f.subgroupMap H) x) = f ↑x- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext
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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
- Submonoidstatement · cited by 3,086
- Subgroup.mapstatement · cited by 301
- Submonoid.mapstatement · cited by 190
- Subgroup.toSubmonoidstatement and proof · cited by 114
- MonoidHom.subgroupMapstatement and proof · cited by 8
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