Theorems · Theorem · combinatorics
SimpleGraph.Walk.mapLe_isCycle
Deprecated since 2026-06-16Use SimpleGraph.Walk.isCycle_mapLe instead.
∀ {V : Type u} {G G' : SimpleGraph V} (h : G ≤ G') {u : V} {p : G.Walk u u},
(SimpleGraph.Walk.mapLe h p).IsCycle ↔ p.IsCycleAlias of SimpleGraph.Walk.isCycle_mapLe.
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Paths
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SimpleGraphstatement · cited by 3,072
- SimpleGraph.Walkstatement · cited by 915
- SimpleGraph.Walk.IsCyclestatement · cited by 91
- SimpleGraph.Walk.mapLestatement · cited by 26
- SimpleGraph.Walk.isCycle_mapLeproof · cited by 3
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