Theorems · Theorem · category theory
CategoryTheory.Cat.freeReflMap_map
∀ {V : Type u_1} [inst : CategoryTheory.ReflQuiver V] {W : Type u_2} [inst_1 : CategoryTheory.ReflQuiver W]
(F : V ⥤rq W) {v w : V} (f : v ⟶ w),
(CategoryTheory.Cat.freeReflMap F).map (CategoryTheory.Cat.FreeRefl.homMk f) =
CategoryTheory.Cat.FreeRefl.homMk (F.map f)- Defined in
- Mathlib.CategoryTheory.Category.ReflQuiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
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- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functor.mapstatement · cited by 8,698
- Prefunctor.objstatement · cited by 1,241
- Prefunctor.mapstatement · cited by 952
- CategoryTheory.ReflQuiverstatement and proof · cited by 64
- CategoryTheory.ReflPrefunctor.toPrefunctorstatement · cited by 36
- CategoryTheory.Cat.FreeReflstatement · cited by 34
- CategoryTheory.ReflPrefunctorstatement and proof · cited by 30
- CategoryTheory.Cat.FreeRefl.mkstatement · cited by 17
- CategoryTheory.Cat.FreeRefl.homMkstatement · cited by 13
- CategoryTheory.Cat.freeReflMapstatement · cited by 5
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