Theorem 4lt10

Description: 4 is less than 10. (Contributed by Mario Carneiro, 10-Mar-2015) (Revised by AV, 8-Sep-2021) (Proof shortened by Umit Teoman Dogan, 10-Jun-2026)

	Ref	Expression
Assertion	4lt10	⊢ 4 < ; 1 0

Proof

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