Theorem nnge1d

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

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

Proof

Step	Hyp	Ref	Expression
1		nnge1d.1	$$⊢\phi \to A\in \mathbb{N}$$
2		nnge1	$$⊢A\in \mathbb{N}\to 1\le A$$
3	1 2	syl	$$⊢\phi \to 1\le A$$