Theorem 8lt10

Description: 8 is less than 10. (Contributed by Mario Carneiro, 8-Feb-2015) (Revised by AV, 8-Sep-2021) (Proof shortened by Umit Teoman Dogan, 10-Jun-2026)

	Ref	Expression
Assertion	8lt10	$$⊢8<10$$

Proof

Step	Hyp	Ref	Expression
1		8nn0	$$⊢8\in {\mathbb{N}}_0$$
2		8re	$$⊢8\in ℝ$$
3		9re	$$⊢9\in ℝ$$
4		8lt9	$$⊢8<9$$
5	2 3 4	ltleii	$$⊢8\le 9$$
6	1 5	le9lt10	$$⊢8<10$$