Theorem 8pos

Description: The number 8 is positive. (Contributed by NM, 27-May-1999)

	Ref	Expression
Assertion	8pos	⊢ 0 < 8

Proof

Step	Hyp	Ref	Expression
1		7re	⊢ 7 ∈ ℝ
2		1re	⊢ 1 ∈ ℝ
3		7pos	⊢ 0 < 7
4		0lt1	⊢ 0 < 1
5	1 2 3 4	addgt0ii	⊢ 0 < ( 7 + 1 )
6		df-8	⊢ 8 = ( 7 + 1 )
7	5 6	breqtrri	⊢ 0 < 8