Theorems · Theorem · group theory
SubmonoidClass.subtype_apply
∀ {M : Type u_1} {A : Type u_3} [inst : MulOneClass M] [inst_1 : SetLike A M] [hA : SubmonoidClass A M] {S' : A}
(x : ↥S'), (SubmonoidClass.subtype S') x = ↑x- Defined in
- Mathlib.Algebra.Group.Submonoid.Defs
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- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
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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
- MonoidHomstatement · cited by 3,629
- SetLikestatement and proof · cited by 1,084
- MulOneClassstatement and proof · cited by 1,018
- SubmonoidClassstatement and proof · cited by 60
- SubmonoidClass.subtypestatement · cited by 11
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