Theorem 1lt6

Description: 1 is less than 6. (Contributed by NM, 19-Oct-2012)

	Ref	Expression
Assertion	1lt6	|- 1 < 6

Proof

Step	Hyp	Ref	Expression
1		1lt2	|- 1 < 2
2		2lt6	|- 2 < 6
3		1re	|- 1 e. RR
4		2re	|- 2 e. RR
5		6re	|- 6 e. RR
6	3 4 5	lttri	|- ( ( 1 < 2 /\ 2 < 6 ) -> 1 < 6 )
7	1 2 6	mp2an	|- 1 < 6