Theorems · Theorem · combinatorics
Prefunctor.mapPath_comp
∀ {V : Type u₁} [inst : Quiver V] {W : Type u₂} [inst_1 : Quiver W] (F : V ⥤q W) {a b : V} (p : Quiver.Path a b) {c : V}
(q : Quiver.Path b c), F.mapPath (p.comp q) = (F.mapPath p).comp (F.mapPath q)- Defined in
- Mathlib.Combinatorics.Quiver.Path
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Prefunctor.objstatement · cited by 1,241
- Quiverstatement and proof · cited by 405
- Quiver.Pathstatement and proof · cited by 166
- Prefunctorstatement and proof · cited by 116
- Quiver.Path.compstatement · cited by 45
- Prefunctor.mapPathstatement · cited by 15
- Quiver.Path.brecOnproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Cat.freeMapproof · cited by 13
- CategoryTheory.Prefunctor.mapPath_comp'proof · cited by 0