Theorems · Theorem · group theory

Subgroup.pointwise_smul_def

∀ {α : Type u_1} {G : Type u_2} [inst : Group G] [inst_1 : Monoid α] [inst_2 : MulDistribMulAction α G] {a : α}
  (S : Subgroup G), a • S = Subgroup.map ((MulDistribMulAction.toMonoidEnd α G) a) S

Defined in

Mathlib.Algebra.Group.Subgroup.Pointwise

Cited by

2 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Quot.sound

Assumes

GroupMonoidMulDistribMulAction