Theorems · Theorem · group theory

Set.pairwiseDisjoint_vadd_iff

∀ {α : Type u_2} {β : Type u_3} [inst : VAdd α β] [IsLeftCancelVAdd α β] {s : Set α} {t : Set β},
  (s.PairwiseDisjoint fun x => x +ᵥ t) ↔ Set.InjOn (fun p => p.1 +ᵥ p.2) (s ×ˢ t)

Defined in

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

Cited by

1 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

VAddIsLeftCancelVAdd