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	$$⊢5\in ℝ$$
4		6re	$$⊢6\in ℝ$$
5		8re	$$⊢8\in ℝ$$
6	3 4 5	lttri	$$⊢\left(5<6\wedge 6<8\right)\to 5<8$$
7	1 2 6	mp2an	$$⊢5<8$$