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 < ; 1 0

Proof

Step	Hyp	Ref	Expression
1		4lt5	⊢ 4 < 5
2		5lt10	⊢ 5 < ; 1 0
3		4re	⊢ 4 ∈ ℝ
4		5re	⊢ 5 ∈ ℝ
5		10re	⊢ ; 1 0 ∈ ℝ
6	3 4 5	lttri	⊢ ( ( 4 < 5 ∧ 5 < ; 1 0 ) → 4 < ; 1 0 )
7	1 2 6	mp2an	⊢ 4 < ; 1 0