Mathlib Map

Theorems · Definition · group theory

CategoryTheory.Groupoid.vertexGroupIsomOfPath

{C : Type u} → [inst : CategoryTheory.Groupoid C] → {c d : C} → Quiver.Path c d → (c ⟶ c) ≃* (d ⟶ d)

A path in the groupoid defines an isomorphism between its endpoints.

Defined in
Mathlib.CategoryTheory.Groupoid.VertexGroup
Cited by
0 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Groupoid

Around this declaration

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

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.