Theorem uzssz2

Description: An upper set of integers is a subset of all integers. (Contributed by Glauco Siliprandi, 2-Jan-2022)

	Ref	Expression
Hypothesis	uzssz2.1	$$⊢Z={\mathbb{Z}}_{\ge M}$$
Assertion	uzssz2	$$⊢Z\subseteq \mathbb{Z}$$

Proof

Step	Hyp	Ref	Expression
1		uzssz2.1	$$⊢Z={\mathbb{Z}}_{\ge M}$$
2		uzssz	$$⊢{\mathbb{Z}}_{\ge M}\subseteq \mathbb{Z}$$
3	1 2	eqsstri	$$⊢Z\subseteq \mathbb{Z}$$