Theorem 5lt9

Description: 5 is less than 9. (Contributed by Mario Carneiro, 9-Mar-2015)

	Ref	Expression
Assertion	5lt9	⊢ 5 < 9

Proof

Step	Hyp	Ref	Expression
1		5lt6	⊢ 5 < 6
2		6lt9	⊢ 6 < 9
3		5re	⊢ 5 ∈ ℝ
4		6re	⊢ 6 ∈ ℝ
5		9re	⊢ 9 ∈ ℝ
6	3 4 5	lttri	⊢ ( ( 5 < 6 ∧ 6 < 9 ) → 5 < 9 )
7	1 2 6	mp2an	⊢ 5 < 9