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Metamath Proof Explorer

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	$⊢ N \in ℤ_{\geq 2} \to N \in ℕ_{0}$

Proof

Step	Hyp	Ref	Expression
1		eluz2nn	$⊢ N \in ℤ_{\geq 2} \to N \in ℕ$
2	1	nnnn0d	$⊢ N \in ℤ_{\geq 2} \to N \in ℕ_{0}$