Theorems · Theorem · group theory

Set.image_div

∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : Group α] [inst_1 : DivisionMonoid β] [inst_2 : FunLike F α β]
  [MonoidHomClass F α β] (m : F) {s t : Set α}, ⇑m '' (s / t) = ⇑m '' s / ⇑m '' t

Defined in

Mathlib.Algebra.Group.Pointwise.Set.Basic

Cited by

2 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupDivisionMonoidFunLikeMonoidHomClass