Description: 3 is less than 8. (Contributed by Mario Carneiro, 15-Sep-2013)
Ref | Expression | ||
---|---|---|---|
Assertion | 3lt8 | |- 3 < 8 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3lt4 | |- 3 < 4 |
|
2 | 4lt8 | |- 4 < 8 |
|
3 | 3re | |- 3 e. RR |
|
4 | 4re | |- 4 e. RR |
|
5 | 8re | |- 8 e. RR |
|
6 | 3 4 5 | lttri | |- ( ( 3 < 4 /\ 4 < 8 ) -> 3 < 8 ) |
7 | 1 2 6 | mp2an | |- 3 < 8 |