Theorems · Theorem · group theory

Set.image_nsmul

∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : AddMonoid α] [inst_1 : AddMonoid β] [inst_2 : FunLike F α β]
  [AddMonoidHomClass F α β] (f : F) (s : Set α) (n : ℕ), ⇑f '' (n • s) = n • ⇑f '' s

Defined in

Mathlib.Algebra.Group.Pointwise.Set.Basic

Cited by

1 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddMonoidAddMonoidFunLikeAddMonoidHomClass