Theorem 5pos

Description: The number 5 is positive. (Contributed by NM, 27-May-1999)

	Ref	Expression
Assertion	5pos	|- 0 < 5

Proof

Step	Hyp	Ref	Expression
1		4re	|- 4 e. RR
2		1re	|- 1 e. RR
3		4pos	|- 0 < 4
4		0lt1	|- 0 < 1
5	1 2 3 4	addgt0ii	|- 0 < ( 4 + 1 )
6		df-5	|- 5 = ( 4 + 1 )
7	5 6	breqtrri	|- 0 < 5