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Theorems · Definition · logic and foundations

Relation.EqvGen.setoid

{α : Type u_1} → (α → α → Prop) → Setoid α

EqvGen.setoid r is the setoid generated by a relation r. The motivation for this definition is that Quot r behaves like Quotient (EqvGen.setoid r), see for example Quot.eqvGen_exact and Quot.eqvGen_sound.

Defined in
Mathlib.Logic.Relation
Cited by
10 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Setoid.map · cited by 6Setoid.mapQuot.eqvGen_exact · cited by 6Quot.eqvGen_exactSetoid.eqvGen_eq · cited by 4Setoid.eqvGen_eqSetoid.eqvGen_of_setoid · cited by 2Setoid.eqvGen_of_setoidSetoid.sSup_eq_eqvGen · cited by 1Setoid.sSup_eq_eqvGenSetoid.sup_eq_eqvGen · cited by 1Setoid.sup_eq_eqvGenSetoid.eqvGen_le · cited by 1Setoid.eqvGen_leSetoid.gi · cited by 0Setoid.giSetoid.sSup_def · cited by 0Setoid.sSup_defSetoid.sup_def · cited by 0Setoid.sup_defSetoid.eqvGen_idem · cited by 0Setoid.eqvGen_idemSetoid.eqvGen_mono · cited by 0Setoid.eqvGen_monoRelation.EqvGen · cited by 49Relation.EqvGenRelation.EqvGen.is_equivalence · cited by 3EqvGen.is_equivalenceEqvGen.setoidCITED BYCITES

Cites2

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Cited by12

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