Theorem nngt0d

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

	Ref	Expression
Hypothesis	nnge1d.1	⊢ ( 𝜑 → 𝐴 ∈ ℕ )
Assertion	nngt0d	⊢ ( 𝜑 → 0 < 𝐴 )

Proof

Step	Hyp	Ref	Expression
1		nnge1d.1	⊢ ( 𝜑 → 𝐴 ∈ ℕ )
2		nngt0	⊢ ( 𝐴 ∈ ℕ → 0 < 𝐴 )
3	1 2	syl	⊢ ( 𝜑 → 0 < 𝐴 )