Theorem wwlkssswwlksn

Description: The walks of a fixed length as words are walks (in an undirected graph) as words. (Contributed by Alexander van der Vekens, 17-Jul-2018) (Revised by AV, 12-Apr-2021)

	Ref	Expression
Assertion	wwlkssswwlksn	$$⊢N\mathrm{WWalksN}G\subseteq \mathrm{WWalks}\left(G\right)$$

Proof

Step	Hyp	Ref	Expression
1		wwlkswwlksn	$$⊢w\in \left(N\mathrm{WWalksN}G\right)\to w\in \mathrm{WWalks}\left(G\right)$$
2	1	ssriv	$$⊢N\mathrm{WWalksN}G\subseteq \mathrm{WWalks}\left(G\right)$$