Description: 2 is less than 6. (Contributed by Mario Carneiro, 15-Sep-2013)
Ref | Expression | ||
---|---|---|---|
Assertion | 2lt6 | |- 2 < 6 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2lt3 | |- 2 < 3 |
|
2 | 3lt6 | |- 3 < 6 |
|
3 | 2re | |- 2 e. RR |
|
4 | 3re | |- 3 e. RR |
|
5 | 6re | |- 6 e. RR |
|
6 | 3 4 5 | lttri | |- ( ( 2 < 3 /\ 3 < 6 ) -> 2 < 6 ) |
7 | 1 2 6 | mp2an | |- 2 < 6 |