Theorems · Theorem · group theory

Set.nonempty_image_mulLeft_inv_inter_iff

∀ {α : Type u_2} [inst : DivisionMonoid α] {s t : Set α} {a : α},
  ((fun x => a⁻¹ * x) '' s ∩ t).Nonempty ↔ ((fun x => x * a) '' s⁻¹ ∩ t⁻¹).Nonempty

Defined in

Mathlib.Algebra.Group.Pointwise.Set.Basic

Cited by

1 results in Mathlib

Foundations

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

Assumes

DivisionMonoid