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 < ; 1 0

Proof

Step	Hyp	Ref	Expression
1		8nn0	⊢ 8 ∈ ℕ0
2		8re	⊢ 8 ∈ ℝ
3		9re	⊢ 9 ∈ ℝ
4		8lt9	⊢ 8 < 9
5	2 3 4	ltleii	⊢ 8 ≤ 9
6	1 5	le9lt10	⊢ 8 < ; 1 0