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Metamath Proof Explorer

Theorem nnne0i

Description: A positive integer is nonzero (inference version). (Contributed by NM, 25-Aug-1999)

		Ref	Expression
	Hypothesis	nngt0.1	$⊢ A \in ℕ$
	Assertion	nnne0i	$⊢ A \neq 0$

Step	Hyp	Ref	Expression
1		nngt0.1	$⊢ A \in ℕ$
2	1	nnrei	$⊢ A \in ℝ$
3	1	nngt0i	$⊢ 0 < A$
4	2 3	gt0ne0ii	$⊢ A \neq 0$