Theorems · Theorem · category theory
CategoryTheory.Paths.lift_unique
∀ {V : Type u₁} [inst : Quiver V] {C : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} C] (φ : V ⥤q C)
(Φ : CategoryTheory.Functor (CategoryTheory.Paths V) C),
CategoryTheory.Paths.of V ⋙q Φ.toPrefunctor = φ → Φ = CategoryTheory.Paths.lift 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.
Cites21
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.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.Functor.map_compproof · cited by 734
- CategoryTheory.Functor.map_idproof · cited by 616
- Quiverstatement and proof · cited by 405
Cited by1
Results whose statement or proof uses this declaration.
- Quiver.FreeGroupoid.lift_uniqueproof · cited by 3