Theorem fzssre

Description: A finite sequence of integers is a set of real numbers. (Contributed by Glauco Siliprandi, 5-Apr-2020)

	Ref	Expression
Assertion	fzssre	$$⊢\left(M\dots N\right)\subseteq ℝ$$

Proof

Step	Hyp	Ref	Expression
1		fzssz	$$⊢\left(M\dots N\right)\subseteq \mathbb{Z}$$
2		zssre	$$⊢\mathbb{Z}\subseteq ℝ$$
3	1 2	sstri	$$⊢\left(M\dots N\right)\subseteq ℝ$$