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Metamath Proof Explorer

Theorem nn0ge0i

Description: Nonnegative integers are nonnegative. (Contributed by Raph Levien, 10-Dec-2002)

		Ref	Expression
	Hypothesis	nn0ge0i.1	$⊢ N \in ℕ_{0}$
	Assertion	nn0ge0i	$⊢ 0 \leq N$

Step	Hyp	Ref	Expression
1		nn0ge0i.1	$⊢ N \in ℕ_{0}$
2		nn0ge0	$⊢ N \in ℕ_{0} \to 0 \leq N$
3	1 2	ax-mp	$⊢ 0 \leq N$