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	$$⊢1\in ℝ$$
4		2re	$$⊢2\in ℝ$$
5		6re	$$⊢6\in ℝ$$
6	3 4 5	lttri	$$⊢\left(1<2\wedge 2<6\right)\to 1<6$$
7	1 2 6	mp2an	$$⊢1<6$$