Theorems · Theorem · combinatorics
Quiver.Path.toList_comp
∀ {V : Type u} [inst : Quiver V] {a b : V} (p : Quiver.Path a b) {c : V} (q : Quiver.Path b c),
(p.comp q).toList = q.toList ++ p.toListQuiver.Path.toList is a contravariant functor. The inversion comes from Quiver.Path and
List having different preferred directions for adding elements.
- Defined in
- Mathlib.Combinatorics.Quiver.Path
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- Quiver
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiverstatement and proof · cited by 405
- Quiver.Pathstatement and proof · cited by 166
- Quiver.Path.compstatement · cited by 45
- Quiver.Path.brecOnproof · cited by 10
- Quiver.Path.toListstatement · cited by 6
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