Theorem 3lt8

Description: 3 is less than 8. (Contributed by Mario Carneiro, 15-Sep-2013)

	Ref	Expression
Assertion	3lt8	|- 3 < 8

Proof

Step	Hyp	Ref	Expression
1		3lt4	|- 3 < 4
2		4lt8	|- 4 < 8
3		3re	|- 3 e. RR
4		4re	|- 4 e. RR
5		8re	|- 8 e. RR
6	3 4 5	lttri	|- ( ( 3 < 4 /\ 4 < 8 ) -> 3 < 8 )
7	1 2 6	mp2an	|- 3 < 8