Theorems · Theorem · category theory
CategoryTheory.Quiv.pathsOf_pathComposition_toPrefunctor
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C],
CategoryTheory.Paths.of C ⋙q (CategoryTheory.pathComposition C).toPrefunctor = 𝟭q CAn unbundled version of the right triangle equality.
- Defined in
- Mathlib.CategoryTheory.Category.Quiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Category
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
- Prefunctor.mapproof · cited by 952
- Quiverproof · cited by 405
- Prefunctorstatement · cited by 116
- CategoryTheory.Pathsstatement · cited by 82
- Prefunctor.compstatement · cited by 35
- CategoryTheory.Functor.toPrefunctorstatement and proof · cited by 24
- CategoryTheory.Paths.ofstatement and proof · cited by 20
- Prefunctor.idstatement · cited by 14
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.