Theorems · Theorem · category theory
CategoryTheory.ReflQuiv.forget_faithful
∀ {C D : CategoryTheory.Cat} (F G : CategoryTheory.Functor ↑C ↑D),
CategoryTheory.ReflQuiv.forget.map F.toCatHom = CategoryTheory.ReflQuiv.forget.map G.toCatHom → F = G- Defined in
- Mathlib.CategoryTheory.Category.ReflQuiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Catstatement and proof · cited by 884
- CategoryTheory.Bundled.αstatement and proof · cited by 736
- CategoryTheory.Cat.Hom.toFunctorproof · cited by 531
- CategoryTheory.Cat.ofstatement · cited by 189
- CategoryTheory.Functor.toCatHomstatement and proof · cited by 124
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