Theorems · Theorem · logic and foundations
Equivalence.quot_mk_eq_iff
∀ {α : Type u_3} {r : α → α → Prop}, Equivalence r → ∀ (x y : α), Quot.mk r x = Quot.mk r y ↔ r x y- Defined in
- Mathlib.Data.Quot
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quotient.eqproof · cited by 50
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.Quotient.functor_map_eq_iffproof · cited by 2
- CategoryTheory.Limits.Types.Pushout.quot_mk_eq_iffproof · cited by 1
- CategoryTheory.PresheafOfGroups.OneCocycle.class_eq_iffproof · cited by 0