Theorems · Theorem · group theory
MulMemClass.coe_mul
∀ {M : Type u_1} {A : Type u_3} [inst : Mul M] [inst_1 : SetLike A M] [hA : MulMemClass A M] (S' : A) (x y : ↥S'),
↑(x * y) = ↑x * ↑y- Defined in
- Mathlib.Algebra.Group.Subsemigroup.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- MulSetLikeMulMemClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLikestatement and proof · cited by 1,084
- MulMemClassstatement and proof · cited by 25
Cited by1
Results whose statement or proof uses this declaration.
- StarSubalgebra.coe_isUnitproof · cited by 1