Theorems · Inductive type · combinatorics
Quiver.Path
{V : Type u} → [Quiver V] → V → V → Type (max u v)Path a b is the type of paths from a to b through the arrows of G.
- Defined in
- Mathlib.Combinatorics.Quiver.Path
- Cited by
- 166 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- Quiver
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiverstatement · cited by 405
Cited by226
Results whose statement or proof uses this declaration.
- Quiver.Path.compstatement and proof · cited by 45
- Quiver.Path.lengthstatement and proof · cited by 39
- Quiver.Hom.toPathstatement · cited by 38
- Quiver.Path.verticesstatement and proof · cited by 21
- CategoryTheory.composePathstatement and proof · cited by 16
- Prefunctor.mapPathstatement and proof · cited by 15
- CategoryTheory.MorphismProperty.pathsproof · cited by 13
- Quiver.Path.casesOnstatement and proof · cited by 12
- Quiver.Path.caststatement and proof · cited by 12
- Quiver.Path.brecOnstatement and proof · cited by 10
- CategoryTheory.FreeBicategory.normalizeAuxstatement and proof · cited by 9
- Quiver.Path.weightstatement and proof · cited by 8
Showing the 200 most cited of 226.