Theorem 6pos

Description: The number 6 is positive. (Contributed by NM, 27-May-1999)

	Ref	Expression
Assertion	6pos	⊢ 0 < 6

Proof

Step	Hyp	Ref	Expression
1		5re	⊢ 5 ∈ ℝ
2		1re	⊢ 1 ∈ ℝ
3		5pos	⊢ 0 < 5
4		0lt1	⊢ 0 < 1
5	1 2 3 4	addgt0ii	⊢ 0 < ( 5 + 1 )
6		df-6	⊢ 6 = ( 5 + 1 )
7	5 6	breqtrri	⊢ 0 < 6