Theorem eluzge2nn0

Description: If an integer is greater than or equal to 2, then it is a nonnegative integer. (Contributed by AV, 27-Aug-2018) (Proof shortened by AV, 3-Nov-2018)

	Ref	Expression
Assertion	eluzge2nn0	$$⊢N\in {\mathbb{Z}}_{\ge 2}\to N\in {\mathbb{N}}_0$$

Proof

Step	Hyp	Ref	Expression
1		eluz2nn	$$⊢N\in {\mathbb{Z}}_{\ge 2}\to N\in \mathbb{N}$$
2	1	nnnn0d	$$⊢N\in {\mathbb{Z}}_{\ge 2}\to N\in {\mathbb{N}}_0$$