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Metamath Proof Explorer

Theorem nnge1d

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

		Ref	Expression
	Hypothesis	nnge1d.1	$⊢ φ \to A \in ℕ$
	Assertion	nnge1d	$⊢ φ \to 1 \leq A$

Step	Hyp	Ref	Expression
1		nnge1d.1	$⊢ φ \to A \in ℕ$
2		nnge1	$⊢ A \in ℕ \to 1 \leq A$
3	1 2	syl	$⊢ φ \to 1 \leq A$