Theorems · Theorem · order theory
Setoid.eqvGen_of_setoid
∀ {α : Type u_1} (r : Setoid α), Relation.EqvGen.setoid ⇑r = rThe equivalence closure of an equivalence relation r is r.
- Defined in
- Mathlib.Data.Setoid.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- le_antisymmproof · cited by 2,068
- sInf_leproof · cited by 110
- Relation.EqvGen.setoidstatement · cited by 10
- Setoid.eqvGen_eqproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Setoid.mapOfSurjective_eq_mapproof · cited by 0
- Setoid.eqvGen_idemproof · cited by 0