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	$$⊢7\in ℝ$$
2		1re	$$⊢1\in ℝ$$
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	$$⊢0<8$$