Theorems · Theorem · category theory
CategoryTheory.Cat.freeMap_map
∀ {V : Type u_1} {W : Type u_2} [inst : Quiver V] [inst_1 : Quiver W] (F : V ⥤q W) {X Y : CategoryTheory.Paths V}
(a : Quiver.Path X Y), (CategoryTheory.Cat.freeMap F).map a = F.mapPath a- Defined in
- Mathlib.CategoryTheory.Category.Quiv
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- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Prefunctor.objstatement · cited by 1,241
- Quiverstatement and proof · cited by 405
- Quiver.Pathstatement and proof · cited by 166
- Prefunctorstatement and proof · cited by 116
- CategoryTheory.Pathsstatement and proof · cited by 82
- Prefunctor.mapPathstatement · cited by 15
- CategoryTheory.Cat.freeMapstatement and proof · cited by 13
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