Theorem uzxr

Description: An upper integer is an extended real. (Contributed by Glauco Siliprandi, 2-Jan-2022)

	Ref	Expression
Assertion	uzxr	$$⊢A\in {\mathbb{Z}}_{\ge M}\to A\in {ℝ}^{*}$$

Proof

Step	Hyp	Ref	Expression
1		eqid	$$⊢{\mathbb{Z}}_{\ge M}={\mathbb{Z}}_{\ge M}$$
2		id	$$⊢A\in {\mathbb{Z}}_{\ge M}\to A\in {\mathbb{Z}}_{\ge M}$$
3	1 2	uzxrd	$$⊢A\in {\mathbb{Z}}_{\ge M}\to A\in {ℝ}^{*}$$