Theorems · Theorem · group theory

Finset.image_nsmul_of_ne_zero

∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : DecidableEq α] [inst_1 : DecidableEq β] [inst_2 : AddMonoid α]
  [inst_3 : AddMonoid β] [inst_4 : FunLike F α β] [AddHomClass F α β] {n : ℕ},
  n ≠ 0 → ∀ (f : F) (s : Finset α), Finset.image (⇑f) (n • s) = n • Finset.image (⇑f) s

Defined in

Mathlib.Algebra.Group.Pointwise.Finset.Basic

Cited by

1 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqDecidableEqAddMonoidAddMonoidFunLikeAddHomClass