Theorem 7pos

Description: The number 7 is positive. (Contributed by NM, 27-May-1999)

	Ref	Expression
Assertion	7pos	$$⊢0<7$$

Proof

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