Description: The product of two numbers greater than 1 is greater than 1. (Contributed by Mario Carneiro, 28-May-2016)
Ref | Expression | ||
---|---|---|---|
Hypotheses | ltp1d.1 | |
|
divgt0d.2 | |
||
mulgt1d.3 | |
||
mulgt1d.4 | |
||
Assertion | mulgt1d | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ltp1d.1 | |
|
2 | divgt0d.2 | |
|
3 | mulgt1d.3 | |
|
4 | mulgt1d.4 | |
|
5 | mulgt1 | |
|
6 | 1 2 3 4 5 | syl22anc | |