Theorems · Theorem · group theory
Submonoid.coe_ofClass
∀ {S : Type u_3} {M : Type u_4} [inst : Monoid M] [inst_1 : SetLike S M] [inst_2 : SubmonoidClass S M] (s : S),
↑(Submonoid.ofClass s) = ↑s- Defined in
- Mathlib.Algebra.Group.Submonoid.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- MonoidSetLikeSubmonoidClass
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement · cited by 3,086
- SetLikestatement and proof · cited by 1,084
- SubmonoidClassstatement and proof · cited by 60
- Submonoid.ofClassstatement and proof · cited by 6
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