Theorem nngt0d

Description: A positive integer is positive. (Contributed by Mario Carneiro, 27-May-2016)

	Ref	Expression
Hypothesis	nnge1d.1	$$⊢\phi \to A\in \mathbb{N}$$
Assertion	nngt0d	$$⊢\phi \to 0<A$$

Proof

Step	Hyp	Ref	Expression
1		nnge1d.1	$$⊢\phi \to A\in \mathbb{N}$$
2		nngt0	$$⊢A\in \mathbb{N}\to 0<A$$
3	1 2	syl	$$⊢\phi \to 0<A$$