Theorem 2eluzge0

Description: 2 is an integer greater than or equal to 0. (Contributed by Alexander van der Vekens, 8-Jun-2018) (Proof shortened by OpenAI, 25-Mar-2020)

	Ref	Expression
Assertion	2eluzge0	$$⊢2\in {\mathbb{Z}}_{\ge 0}$$

Proof

Step	Hyp	Ref	Expression
1		2nn0	$$⊢2\in {\mathbb{N}}_0$$
2		nn0uz	$$⊢{\mathbb{N}}_0={\mathbb{Z}}_{\ge 0}$$
3	1 2	eleqtri	$$⊢2\in {\mathbb{Z}}_{\ge 0}$$