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Metamath Proof Explorer

Theorem nngt0i

Description: A positive integer is positive (inference version). (Contributed by NM, 17-Sep-1999)

		Ref	Expression
	Hypothesis	nngt0.1	$⊢ A \in ℕ$
	Assertion	nngt0i	$⊢ 0 < A$

Step	Hyp	Ref	Expression
1		nngt0.1	$⊢ A \in ℕ$
2		nngt0	$⊢ A \in ℕ \to 0 < A$
3	1 2	ax-mp	$⊢ 0 < A$