Theorems · Theorem · category theory
CategoryTheory.Paths.lift_spec
∀ {V : Type u₁} [inst : Quiver V] {C : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} C] (φ : V ⥤q C),
CategoryTheory.Paths.of V ⋙q (CategoryTheory.Paths.lift φ).toPrefunctor = φ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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.Homproof · cited by 32,603
- CategoryTheory.Category.id_compproof · cited by 1,998
- Prefunctor.objproof · cited by 1,241
- Quiverstatement and proof · cited by 405
- Prefunctorstatement and proof · cited by 116
- CategoryTheory.Pathsstatement · cited by 82
- Prefunctor.compstatement and proof · cited by 35
- CategoryTheory.Functor.toPrefunctorstatement and proof · cited by 24
- CategoryTheory.Paths.ofstatement and proof · cited by 20
- CategoryTheory.Paths.liftstatement and proof · cited by 7
- Prefunctor.extproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Quiver.FreeGroupoid.lift_specproof · cited by 1