Theorem 4lt10

Description: 4 is less than 10. (Contributed by Mario Carneiro, 10-Mar-2015) (Revised by AV, 8-Sep-2021)

	Ref	Expression
Assertion	4lt10	$$⊢4<10$$

Proof

Step	Hyp	Ref	Expression
1		4lt5	$$⊢4<5$$
2		5lt10	$$⊢5<10$$
3		4re	$$⊢4\in ℝ$$
4		5re	$$⊢5\in ℝ$$
5		10re	$$⊢10\in ℝ$$
6	3 4 5	lttri	$$⊢\left(4<5\wedge 5<10\right)\to 4<10$$
7	1 2 6	mp2an	$$⊢4<10$$