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Metamath Proof Explorer

Theorem cycliswlk

Description: A cycle is a walk. (Contributed by Alexander van der Vekens, 7-Nov-2017) (Revised by AV, 31-Jan-2021)

		Ref	Expression
	Assertion	cycliswlk	$⊢ F Cycles (G) P \to F Walks (G) P$

Step	Hyp	Ref	Expression
1		cyclispth	$⊢ F Cycles (G) P \to F Paths (G) P$
2		pthiswlk	$⊢ F Paths (G) P \to F Walks (G) P$
3	1 2	syl	$⊢ F Cycles (G) P \to F Walks (G) P$