Theorems · Theorem · group theory
MulMemClass.subtype_apply
∀ {M : Type u_1} {A : Type u_3} [inst : Mul M] [inst_1 : SetLike A M] [hA : MulMemClass A M] {S' : A} (x : ↥S'),
(MulMemClass.subtype S') x = ↑x- Defined in
- Mathlib.Algebra.Group.Subsemigroup.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- MulSetLikeMulMemClass
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- SetLikestatement and proof · cited by 1,084
- MulHomstatement · cited by 299
- MulMemClassstatement and proof · cited by 25
- MulMemClass.subtypestatement · cited by 5
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