Theorem 3lt10

Description: 3 is less than 10. (Contributed by Mario Carneiro, 10-Mar-2015) (Revised by AV, 8-Sep-2021)

	Ref	Expression
Assertion	3lt10	$$⊢3<10$$

Proof

Step	Hyp	Ref	Expression
1		3lt4	$$⊢3<4$$
2		4lt10	$$⊢4<10$$
3		3re	$$⊢3\in ℝ$$
4		4re	$$⊢4\in ℝ$$
5		10re	$$⊢10\in ℝ$$
6	3 4 5	lttri	$$⊢\left(3<4\wedge 4<10\right)\to 3<10$$
7	1 2 6	mp2an	$$⊢3<10$$