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Theorems · Definition · category theory

Quiver.Hom.toPosPath

{V : Type u} → [inst : Quiver V] → {X Y : V} → (X ⟶ Y) → (X ⟶ Y)

Shorthand for the "forward" arrow corresponding to f in paths <| symmetrify V

Defined in
Mathlib.CategoryTheory.Groupoid.FreeGroupoid
Cited by
0 results in Mathlib
Foundations
Depth 13 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.of · cited by 7FreeGroupoid.ofQuiver.Hom · cited by 32603Quiver.HomQuiver · cited by 405QuiverCategoryTheory.Paths · cited by 82CategoryTheory.PathsQuiver.Hom.toPath · cited by 38Hom.toPathQuiver.Symmetrify · cited by 28Quiver.SymmetrifyQuiver.Hom.toPos · cited by 0Hom.toPosHom.toPosPathCITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.