Theorems · Theorem · group theory
SubgroupClass.subtype_apply
∀ {G : Type u_1} [inst : Group G] {S : Type u_4} {H : S} [inst_1 : SetLike S G] [inst_2 : SubgroupClass S G] (x : ↥H),
↑H x = ↑x- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext
- Assumes
- GroupSetLikeSubgroupClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 · cited by 3,629
- SetLikestatement and proof · cited by 1,084
- SubgroupClassstatement and proof · cited by 34
- SubgroupClass.subtypestatement · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.