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Metamath Proof Explorer

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	$⊢ 2 \in ℤ_{\geq 0}$

Proof

Step	Hyp	Ref	Expression
1		2nn0	$⊢ 2 \in ℕ_{0}$
2		nn0uz	$⊢ ℕ_{0} = ℤ_{\geq 0}$
3	1 2	eleqtri	$⊢ 2 \in ℤ_{\geq 0}$