Theorem 2pos

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

	Ref	Expression
Assertion	2pos	$$⊢0<2$$

Proof

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	$$⊢0<2$$