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	$$⊢5\in ℝ$$
2		1re	$$⊢1\in ℝ$$
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	$$⊢0<6$$