Theorem eluz4nn

Description: An integer greater than or equal to 4 is a positive integer. (Contributed by AV, 30-May-2023)

	Ref	Expression
Assertion	eluz4nn	$$⊢X\in {\mathbb{Z}}_{\ge 4}\to X\in \mathbb{N}$$

Proof

Step	Hyp	Ref	Expression
1		eluz4eluz2	$$⊢X\in {\mathbb{Z}}_{\ge 4}\to X\in {\mathbb{Z}}_{\ge 2}$$
2		eluz2nn	$$⊢X\in {\mathbb{Z}}_{\ge 2}\to X\in \mathbb{N}$$
3	1 2	syl	$$⊢X\in {\mathbb{Z}}_{\ge 4}\to X\in \mathbb{N}$$