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Theorems · Theorem · category theory

CategoryTheory.Paths.of_map

∀ (V : Type u₁) [inst : Quiver V] {X Y : V} (f : X ⟶ Y), (CategoryTheory.Paths.of V).map f = f.toPath
Defined in
Mathlib.CategoryTheory.PathCategory.Basic
Cited by
1 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext
Assumes
Quiver
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Quiver.FreeGroupoid.lift_unique · cited by 3FreeGroupoid.lift_uniqueQuiver.Hom · cited by 32603Quiver.HomPrefunctor.map · cited by 952Prefunctor.mapQuiver · cited by 405QuiverQuiver.Path · cited by 166Quiver.PathCategoryTheory.Paths · cited by 82CategoryTheory.PathsQuiver.Hom.toPath · cited by 38Hom.toPathCategoryTheory.Paths.of · cited by 20Paths.ofPaths.of_mapCITED BYCITES

Cites7

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Cited by1

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