Theorems · Theorem · logic and foundations
Quotient.eq_iff_equiv
∀ {α : Sort u_1} {r : Setoid α} {x y : α}, ⟦x⟧ = ⟦y⟧ ↔ x ≈ y- Defined in
- Mathlib.Data.Quot
- Cited by
- 6 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 by6
Results whose statement or proof uses this declaration.
- ZFSet.Definable.out_equivproof · cited by 2
- WeierstrassCurve.Projective.smul_equiv_smulproof · cited by 2
- WeierstrassCurve.Jacobian.smul_equiv_smulproof · cited by 2
- ArchimedeanClass.FiniteResidueField.mk_lt_mkproof · cited by 1
- ModularGroup.exists_bound_of_subgroup_invariant_of_isBigOproof · cited by 1
- ArchimedeanClass.FiniteResidueField.mk_le_mkproof · cited by 0