Description: 5 is less than 9. (Contributed by Mario Carneiro, 9-Mar-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | 5lt9 | |- 5 < 9 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 5lt6 | |- 5 < 6 |
|
2 | 6lt9 | |- 6 < 9 |
|
3 | 5re | |- 5 e. RR |
|
4 | 6re | |- 6 e. RR |
|
5 | 9re | |- 9 e. RR |
|
6 | 3 4 5 | lttri | |- ( ( 5 < 6 /\ 6 < 9 ) -> 5 < 9 ) |
7 | 1 2 6 | mp2an | |- 5 < 9 |