Set.inv

{α : Type u_2} → [Inv α] → Inv (Set α)

The pointwise inversion of set s⁻¹ is defined as {x | x⁻¹ ∈ s} in scope Pointwise. It is equal to {x⁻¹ | x ∈ s}, see Set.image_inv_eq_inv.

Defined in: Mathlib.Algebra.Group.Pointwise.Set.Basic
Cited by: 132 results in Mathlib
Foundations: Depth 5 from the axioms, rests on 11 definitions · uses no axioms
Assumes: Inv

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.