This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem nnne0d

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

		Ref	Expression
	Hypothesis	nnge1d.1	$⊢ φ \to A \in ℕ$
	Assertion	nnne0d	$⊢ φ \to A \neq 0$

Step	Hyp	Ref	Expression
1		nnge1d.1	$⊢ φ \to A \in ℕ$
2		nnne0	$⊢ A \in ℕ \to A \neq 0$
3	1 2	syl	$⊢ φ \to A \neq 0$