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Theorems · Definition · combinatorics

Quiver.root

(V : Type u) → [inst : Quiver V] → [Quiver.Arborescence V] → V

The root of an arborescence.

Defined in
Mathlib.Combinatorics.Quiver.Arborescence
Cited by
3 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
QuiverQuiver.Arborescence
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Around this declaration

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

IsFreeGroupoid.SpanningTree.homOfPath · cited by 4SpanningTree.homOfPathIsFreeGroupoid.SpanningTree.treeHom_eq · cited by 2SpanningTree.treeHom_eqIsFreeGroupoid.SpanningTree.endIsFree · cited by 0SpanningTree.endIsFreeIsFreeGroupoid.SpanningTree.homOfPath.eq_def · cited by 0homOfPath.eq_defQuiver · cited by 405QuiverQuiver.Arborescence · cited by 7Quiver.ArborescenceQuiver.Arborescence.root · cited by 0Arborescence.rootQuiver.rootCITED BYCITES

Cites3

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

Cited by4

Results whose statement or proof uses this declaration.