Theorems · Definition · combinatorics
SimpleGraph.Walk.pathGraphHom
{V : Type u_3} → {G : SimpleGraph V} → {u v : V} → (w : G.Walk u v) → SimpleGraph.pathGraph (w.length + 1) →g GA walk induces a homomorphism from a path graph to the graph
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Hasse
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Walkstatement and proof · cited by 915
- SimpleGraph.Walk.lengthstatement · cited by 212
- SimpleGraph.Homstatement · cited by 139
- SimpleGraph.Walk.toSubgraphproof · cited by 49
- SimpleGraph.Hom.compproof · cited by 20
- SimpleGraph.Subgraph.homproof · cited by 18
- SimpleGraph.pathGraphstatement · cited by 8
- SimpleGraph.Walk.pathGraphHomToSubgraphproof · cited by 0
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