Theorems · Definition · category theory
CategoryTheory.isomorphismClasses
CategoryTheory.Functor CategoryTheory.Cat (Type u)
The functor that sends each category to the quotient space of its objects up to an isomorphism.
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- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Catstatement and proof · cited by 884
- CategoryTheory.Bundled.αproof · cited by 736
- CategoryTheory.Cat.Hom.toFunctorproof · cited by 531
- TypeCat.ofHomproof · cited by 389
- CategoryTheory.isIsomorphicSetoidproof · cited by 24
- Quot.mapproof · cited by 5
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