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Theorems · Theorem · combinatorics

SimpleGraph.Walk.isCycle_mapLe

∀ {V : Type u} {G G' : SimpleGraph V} (h : G ≤ G') {u : V} {p : G.Walk u u},
  (SimpleGraph.Walk.mapLe h p).IsCycle ↔ p.IsCycle
Defined in
Mathlib.Combinatorics.SimpleGraph.Paths
Cited by
3 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Quot.sound
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Around this declaration

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

SimpleGraph.Walk.IsCycle.mapLe · cited by 1IsCycle.mapLeSimpleGraph.Walk.mapLe_isCycle · cited by 0Walk.mapLe_isCycleSimpleGraph.Walk.IsCycle.of_mapLe · cited by 0IsCycle.of_mapLeSimpleGraph · cited by 3072SimpleGraphSimpleGraph.Walk · cited by 915SimpleGraph.WalkSimpleGraph.Walk.IsCycle · cited by 91Walk.IsCycleSimpleGraph.Walk.mapLe · cited by 26Walk.mapLeSimpleGraph.Walk.isCycle_map_iff_of_injective · cited by 4Walk.isCycle_map_iff_of_i…Walk.isCycle_mapLeCITED BYCITES

Cites5

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

Cited by3

Results whose statement or proof uses this declaration.