Theorems · Theorem · logic and foundations
Quotient.eq_mk_iff_out
∀ {α : Sort u_1} {s : Setoid α} {x : Quotient s} {y : α}, x = ⟦y⟧ ↔ x.out ≈ y- Defined in
- Mathlib.Data.Quot
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quotient.outstatement · cited by 141
- Quotient.eqproof · cited by 50
- Quotient.out_eqproof · cited by 27
Cited by4
Results whose statement or proof uses this declaration.
- Quotient.out_equiv_outproof · cited by 1
- FirstOrder.Language.DirectLimit.exists_quotient_mk'_sigma_mk'_eqproof · cited by 1
- FirstOrder.Language.exists_cg_is_age_ofproof · cited by 1
- ZFSet.mem_rangeproof · cited by 0