Description: 5 is less than 8. (Contributed by Mario Carneiro, 15-Sep-2013)
Ref | Expression | ||
---|---|---|---|
Assertion | 5lt8 | |- 5 < 8 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 5lt6 | |- 5 < 6 |
|
2 | 6lt8 | |- 6 < 8 |
|
3 | 5re | |- 5 e. RR |
|
4 | 6re | |- 6 e. RR |
|
5 | 8re | |- 8 e. RR |
|
6 | 3 4 5 | lttri | |- ( ( 5 < 6 /\ 6 < 8 ) -> 5 < 8 ) |
7 | 1 2 6 | mp2an | |- 5 < 8 |