Theorem nn0ge0d

Description: A nonnegative integer is greater than or equal to zero. (Contributed by Mario Carneiro, 27-May-2016)

	Ref	Expression
Hypothesis	nn0red.1	$$⊢\phi \to A\in {\mathbb{N}}_0$$
Assertion	nn0ge0d	$$⊢\phi \to 0\le A$$

Proof

Step	Hyp	Ref	Expression
1		nn0red.1	$$⊢\phi \to A\in {\mathbb{N}}_0$$
2		nn0ge0	$$⊢A\in {\mathbb{N}}_0\to 0\le A$$
3	1 2	syl	$$⊢\phi \to 0\le A$$