Theorems · Theorem · group theory
AddSubmonoidClass.subtype_apply
∀ {M : Type u_1} {A : Type u_3} [inst : AddZeroClass M] [inst_1 : SetLike A M] [hA : AddSubmonoidClass A M] {S' : A}
(x : ↥S'), (AddSubmonoidClass.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
- AddMonoidHomstatement · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- SetLikestatement and proof · cited by 1,084
- AddSubmonoidClassstatement and proof · cited by 346
- AddSubmonoidClass.subtypestatement · cited by 12
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