Theorems · Theorem · category theory
CategoryTheory.Cat.freeReflMap_naturality
∀ {V : Type u_3} {W : Type u_4} [inst : CategoryTheory.ReflQuiver V] [inst_1 : CategoryTheory.ReflQuiver W]
(F : V ⥤rq W),
(CategoryTheory.Cat.FreeRefl.quotientFunctor V).comp (CategoryTheory.Cat.freeReflMap F) =
(CategoryTheory.Cat.freeMap F.toPrefunctor).comp (CategoryTheory.Cat.FreeRefl.quotientFunctor W)- Defined in
- Mathlib.CategoryTheory.Category.ReflQuiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.Pathsstatement · cited by 82
- CategoryTheory.ReflQuiverstatement and proof · cited by 64
- Quiver.Hom.toPathproof · cited by 38
- CategoryTheory.ReflPrefunctor.toPrefunctorstatement · cited by 36
- CategoryTheory.Cat.FreeReflstatement · cited by 34
- CategoryTheory.ReflPrefunctorstatement and proof · cited by 30
- CategoryTheory.Cat.freeMapstatement · cited by 13
- CategoryTheory.Cat.FreeRefl.quotientFunctorstatement and proof · cited by 8
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