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Theorems · Theorem · logic and foundations

Quotient.mk_eq_iff_out

∀ {α : Sort u_1} {s : Setoid α} {x : α} {y : Quotient s}, ⟦x⟧ = y ↔ x ≈ y.out
Defined in
Mathlib.Data.Quot
Cited by
4 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
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CommRing.Pic.mk_eq_iff · cited by 5Pic.mk_eq_iffFirstOrder.Language.age_directLimit · cited by 1Language.age_directLimitDiscreteQuotient.comp_finsetClopens · cited by 1DiscreteQuotient.comp_fin…CategoryTheory.toSkeleton_eq_iff · cited by 0CategoryTheory.toSkeleton…Quotient.out · cited by 141Quotient.outQuotient.eq · cited by 50Quotient.eqQuotient.out_eq · cited by 27Quotient.out_eqQuotient.mk_eq_iff_outCITED BYCITES

Cites3

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Cited by4

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