Theorems · Theorem · group theory

Set.image_vadd_distrib

∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : Add α] [inst_1 : Add β] [inst_2 : FunLike F α β]
  [AddHomClass F α β] (f : F) (a : α) (s : Set α), ⇑f '' (a +ᵥ s) = f a +ᵥ ⇑f '' s

Defined in

Mathlib.Algebra.Group.Action.Pointwise.Set.Basic

Cited by

5 results in Mathlib

Foundations

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

Assumes

AddAddFunLikeAddHomClass