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Metamath Proof Explorer

Theorem 2pos

Description: The number 2 is positive. (Contributed by NM, 27-May-1999)

		Ref	Expression
	Assertion	2pos	$⊢ 0 < 2$

Step	Hyp	Ref	Expression
1		1re	$⊢ 1 \in ℝ$
2		0lt1	$⊢ 0 < 1$
3	1 1 2 2	addgt0ii	$⊢ 0 < 1 + 1$
4		df-2	$⊢ 2 = 1 + 1$
5	3 4	breqtrri	$⊢ 0 < 2$