Theorem clwlkswks

Description: Closed walks are walks (in an undirected graph). (Contributed by Alexander van der Vekens, 25-Aug-2018) (Revised by AV, 16-Feb-2021)

	Ref	Expression
Assertion	clwlkswks	$$⊢\mathrm{ClWalks}\left(G\right)\subseteq \mathrm{Walks}\left(G\right)$$

Proof

Step	Hyp	Ref	Expression
1		clwlkwlk	$$⊢w\in \mathrm{ClWalks}\left(G\right)\to w\in \mathrm{Walks}\left(G\right)$$
2	1	ssriv	$$⊢\mathrm{ClWalks}\left(G\right)\subseteq \mathrm{Walks}\left(G\right)$$