Theorems · Theorem · group theory

Set.image_neg

∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : AddGroup α] [inst_1 : SubtractionMonoid β]
  [inst_2 : FunLike F α β] [AddMonoidHomClass F α β] (f : F) (s : Set α), ⇑f '' (-s) = -⇑f '' s

Defined in

Mathlib.Algebra.Group.Pointwise.Set.Basic

Cited by

1 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddGroupSubtractionMonoidFunLikeAddMonoidHomClass