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 ∈ 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