Quotient.out

{α : Sort u_1} → {s : Setoid α} → Quotient s → α

Choose an element of the equivalence class using the axiom of choice. Sound but noncomputable.

Defined in: Mathlib.Data.Quot
Cited by: 141 results in Mathlib
Foundations: Depth 9 from the axioms, rests on 15 definitions · uses Classical.choice

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.