Theorem fzssuz

Description: A finite set of sequential integers is a subset of an upper set of integers. (Contributed by NM, 28-Oct-2005)

	Ref	Expression
Assertion	fzssuz	$$⊢\left(M\dots N\right)\subseteq {\mathbb{Z}}_{\ge M}$$

Proof

Step	Hyp	Ref	Expression
1		elfzuz	$$⊢k\in \left(M\dots N\right)\to k\in {\mathbb{Z}}_{\ge M}$$
2	1	ssriv	$$⊢\left(M\dots N\right)\subseteq {\mathbb{Z}}_{\ge M}$$