Theorems · Theorem · combinatorics
Prefunctor.mapPath_comp_apply
∀ {V : Type u₁} [inst : Quiver V] {W : Type u₂} [inst_1 : Quiver W] (F : V ⥤q W) {U : Type u₃} [inst_2 : Quiver U]
(G : W ⥤q U) {a b : V} (p : Quiver.Path a b), (F ⋙q G).mapPath p = G.mapPath (F.mapPath p)- Defined in
- Mathlib.Combinatorics.Quiver.Path
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- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- Prefunctor.objstatement · cited by 1,241
- Prefunctor.mapproof · cited by 952
- Quiverstatement and proof · cited by 405
- Quiver.Pathstatement and proof · cited by 166
- Prefunctorstatement and proof · cited by 116
- Prefunctor.compstatement and proof · cited by 35
- Prefunctor.mapPathstatement and proof · cited by 15
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