Theorems · Definition · combinatorics
Quiver.Arborescence.uniquePath
{V : Type u} →
{inst : Quiver V} → [self : Quiver.Arborescence V] → (b : V) → Unique (Quiver.Path Quiver.Arborescence.root b)There is a unique path from the root to any other vertex.
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- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- Quiver.Arborescence
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiverstatement and proof · cited by 405
- Uniquestatement · cited by 400
- Quiver.Pathstatement · cited by 166
- Quiver.Arborescencestatement and proof · cited by 7
- Quiver.Arborescence.rootstatement · cited by 0
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