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Theorems · Theorem · combinatorics

SimpleGraph.Walk.isCycle_reverse

∀ {V : Type u} {G : SimpleGraph V} {u : V} {p : G.Walk u u}, p.reverse.IsCycle ↔ p.IsCycle
Defined in
Mathlib.Combinatorics.SimpleGraph.Paths
Cited by
1 results in Mathlib
Foundations
Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

SimpleGraph.Walk.IsCycle.isPath_takeUntil · cited by 0IsCycle.isPath_takeUntilSimpleGraph · cited by 3072SimpleGraphSimpleGraph.Walk · cited by 915SimpleGraph.WalkSimpleGraph.Walk.IsCycle · cited by 91Walk.IsCycleSimpleGraph.Walk.reverse · cited by 55Walk.reverseSimpleGraph.Walk.reverse_reverse · cited by 6Walk.reverse_reverseSimpleGraph.Walk.IsCycle.reverse · cited by 4IsCycle.reverseWalk.isCycle_reverseCITED BYCITES

Cites6

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

Cited by1

Results whose statement or proof uses this declaration.