Theorems · Theorem · group theory
Submonoid.copy_eq
∀ {M : Type u_1} [inst : MulOneClass M] {S : Submonoid M} {s : Set M} (hs : s = ↑S), S.copy s hs = S- Defined in
- Mathlib.Algebra.Group.Submonoid.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
- Assumes
- MulOneClass
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.
- Setstatement and proof · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- Submonoidstatement and proof · cited by 3,086
- MulOneClassstatement and proof · cited by 1,018
- SetLike.coe_injectiveproof · cited by 374
- Submonoid.copystatement and proof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- MonoidHom.mrange_eq_mapproof · cited by 13