Theorems · Theorem · group theory

Set.vadd_graphOn_univ

∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : AddGroup α] [inst_1 : AddCommGroup β] [inst_2 : FunLike F α β]
  [AddMonoidHomClass F α β] (x : α × β) (f : F),
  x +ᵥ Set.graphOn (⇑f) Set.univ = Set.graphOn (fun a => x.2 - f x.1 + f a) Set.univ

Defined in

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

Cited by

0 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Quot.sound

Assumes

AddGroupAddCommGroupFunLikeAddMonoidHomClass