Mathlib Map

Theorems · Theorem · combinatorics

SimpleGraph.cycleGraph.isCycle_cycle

∀ {n : ℕ}, (SimpleGraph.cycleGraph.cycle n).IsCycle
Defined in
Mathlib.Combinatorics.SimpleGraph.CycleGraph
Cited by
1 results in Mathlib
Foundations
Depth 74 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.cycleGraph_isContained_iff · cited by 1SimpleGraph.cycleGraph_is…SimpleGraph.Walk.IsCycle · cited by 91Walk.IsCycleSimpleGraph.cycleGraph · cited by 27SimpleGraph.cycleGraphSimpleGraph.cycleGraph.cycle · cited by 7cycleGraph.cycleSimpleGraph.cycleGraph.length_cycle · cited by 4cycleGraph.length_cycleSimpleGraph.cycleGraph.isPath_tail_cycle · cited by 1cycleGraph.isPath_tail_cy…SimpleGraph.Walk.isCycle_iff_isPath_tail_and_le_length · cited by 1Walk.isCycle_iff_isPath_t…cycleGraph.isCycle_cycleCITED 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.