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 ∈ ℝ
4		2re	⊢ 2 ∈ ℝ
5		6re	⊢ 6 ∈ ℝ
6	3 4 5	lttri	⊢ ( ( 1 < 2 ∧ 2 < 6 ) → 1 < 6 )
7	1 2 6	mp2an	⊢ 1 < 6