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Metamath Proof Explorer

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	$⊢ (M \dots N) \subseteq ℤ_{\geq M}$

Step	Hyp	Ref	Expression
1		elfzuz	$⊢ k \in (M \dots N) \to k \in ℤ_{\geq M}$
2	1	ssriv	$⊢ (M \dots N) \subseteq ℤ_{\geq M}$