Theorem fzossz

Description: A half-open integer interval is a set of integers. (Contributed by Glauco Siliprandi, 8-Apr-2021)

	Ref	Expression
Assertion	fzossz	$$⊢\left(M..^N\right)\subseteq \mathbb{Z}$$

Proof

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