Theorem 5lt8

Description: 5 is less than 8. (Contributed by Mario Carneiro, 15-Sep-2013)

	Ref	Expression
Assertion	5lt8	⊢ 5 < 8

Proof

Step	Hyp	Ref	Expression
1		5lt6	⊢ 5 < 6
2		6lt8	⊢ 6 < 8
3		5re	⊢ 5 ∈ ℝ
4		6re	⊢ 6 ∈ ℝ
5		8re	⊢ 8 ∈ ℝ
6	3 4 5	lttri	⊢ ( ( 5 < 6 ∧ 6 < 8 ) → 5 < 8 )
7	1 2 6	mp2an	⊢ 5 < 8