Theorems · Definition · combinatorics
Quiver.Path.brecOn.go
{V : Type u} →
[inst : Quiver V] →
{a : V} →
{motive : (a_1 : V) → Quiver.Path a a_1 → Sort u_1} →
{a_1 : V} →
(t : Quiver.Path a a_1) →
((a_2 : V) → (t : Quiver.Path a a_2) → Quiver.Path.below t → motive a_2 t) →
motive a_1 t ×' Quiver.Path.below t- Defined in
- Mathlib.Combinatorics.Quiver.Path
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- Quiver
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- Quiverstatement and proof · cited by 405
- Quiver.Pathstatement and proof · cited by 166
- Quiver.Path.belowstatement and proof · cited by 7
Cited by8
Results whose statement or proof uses this declaration.
- Quiver.Path.brecOnproof · cited by 10
- Quiver.Path.brecOn.eqstatement · cited by 6
- Quiver.Path.reverse.eq_defproof · cited by 0
- Quiver.Path.toList.eq_defproof · cited by 0
- IsFreeGroupoid.SpanningTree.homOfPath.eq_defproof · cited by 0
- CategoryTheory.FreeBicategory.inclusionPathAux.eq_defproof · cited by 0
- CategoryTheory.composePath.eq_defproof · cited by 0
- Quiver.Path.length.eq_defproof · cited by 0