Theorem 2lt8

Description: 2 is less than 8. (Contributed by Mario Carneiro, 15-Sep-2013)

	Ref	Expression
Assertion	2lt8	|- 2 < 8

Proof

Step	Hyp	Ref	Expression
1		2lt3	|- 2 < 3
2		3lt8	|- 3 < 8
3		2re	|- 2 e. RR
4		3re	|- 3 e. RR
5		8re	|- 8 e. RR
6	3 4 5	lttri	|- ( ( 2 < 3 /\ 3 < 8 ) -> 2 < 8 )
7	1 2 6	mp2an	|- 2 < 8