Theorems · Theorem · category theory
CategoryTheory.Quiv.lift_map
∀ {V : Type u} [inst : Quiver V] {C : Type u₁} [inst_1 : CategoryTheory.Category.{v₁, u₁} C] (F : V ⥤q C)
{X Y : CategoryTheory.Paths V} (f : X ⟶ Y),
(CategoryTheory.Quiv.lift F).map f = CategoryTheory.composePath (F.mapPath f)- Defined in
- Mathlib.CategoryTheory.Category.Quiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Prefunctor.objstatement · cited by 1,241
- Quiverstatement and proof · cited by 405
- Prefunctorstatement and proof · cited by 116
- CategoryTheory.Pathsstatement and proof · cited by 82
- CategoryTheory.composePathstatement · cited by 16
- Prefunctor.mapPathstatement · cited by 15
- CategoryTheory.Quiv.liftstatement and proof · cited by 2
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