Theorem 5lt10

Description: 5 is less than 10. (Contributed by Mario Carneiro, 10-Mar-2015) (Revised by AV, 8-Sep-2021)

	Ref	Expression
Assertion	5lt10	⊢ 5 < ; 1 0

Proof

Step	Hyp	Ref	Expression
1		5lt6	⊢ 5 < 6
2		6lt10	⊢ 6 < ; 1 0
3		5re	⊢ 5 ∈ ℝ
4		6re	⊢ 6 ∈ ℝ
5		10re	⊢ ; 1 0 ∈ ℝ
6	3 4 5	lttri	⊢ ( ( 5 < 6 ∧ 6 < ; 1 0 ) → 5 < ; 1 0 )
7	1 2 6	mp2an	⊢ 5 < ; 1 0