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Theorems · Theorem · order theory

Setoid.mkClasses_classes

∀ {α : Type u_1} (r : Setoid α), Setoid.mkClasses r.classes ⋯ = r

The equivalence relation made from the equivalence classes of an equivalence relation r equals r.

Defined in
Mathlib.Data.Setoid.Partition
Cited by
0 results in Mathlib
Foundations
Depth 10 from the axioms · uses propext, Quot.sound
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Around this declaration

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Setoid.Partition.orderIso · cited by 0Partition.orderIsoSet · cited by 53352SetSet.ofPred · cited by 6101Set.ofPredSetoid.ext · cited by 26Setoid.extSetoid.classes · cited by 17Setoid.classesSetoid.refl' · cited by 14Setoid.refl'Setoid.symm' · cited by 14Setoid.symm'Setoid.mkClasses · cited by 6Setoid.mkClassesSetoid.mem_classes · cited by 3Setoid.mem_classesSetoid.classes_eqv_classes · cited by 3Setoid.classes_eqv_classesSetoid.eq_of_mem_classes · cited by 1Setoid.eq_of_mem_classesSetoid.mkClasses_classesCITED BYCITES

Cites10

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Cited by1

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