Theorem eluz2n0

Description: An integer greater than or equal to 2 is not 0. (Contributed by AV, 25-May-2020)

	Ref	Expression
Assertion	eluz2n0	$$⊢N\in {\mathbb{Z}}_{\ge 2}\to N\ne 0$$

Proof

Step	Hyp	Ref	Expression
1		eluz2nn	$$⊢N\in {\mathbb{Z}}_{\ge 2}\to N\in \mathbb{N}$$
2	1	nnne0d	$$⊢N\in {\mathbb{Z}}_{\ge 2}\to N\ne 0$$