Theorems · Theorem · group theory

Set.pairwise_disjoint_vadd_iff

∀ {α : Type u_2} {β : Type u_3} [inst : AddGroup α] [inst_1 : AddAction α β] {s : Set β},
  Pairwise (Function.onFun Disjoint fun a => a +ᵥ s) ↔ ∀ (a : α), ((a +ᵥ s) ∩ s).Nonempty → a = 0

Defined in

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

Cited by

0 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddGroupAddAction