Description: Multiplication of both sides of 'less than or equal to' by a positive number. (Contributed by Mario Carneiro, 28-May-2016)
Ref | Expression | ||
---|---|---|---|
Hypotheses | ltmul1d.1 | |
|
ltmul1d.2 | |
||
ltmul1d.3 | |
||
Assertion | lemul1d | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ltmul1d.1 | |
|
2 | ltmul1d.2 | |
|
3 | ltmul1d.3 | |
|
4 | 3 | rpregt0d | |
5 | lemul1 | |
|
6 | 1 2 4 5 | syl3anc | |