Description: The derivative of a polynomial is a polynomial. (Contributed by Stefan O'Rear, 14-Nov-2014) (Proof shortened by Mario Carneiro, 1-Jan-2017)
Ref | Expression | ||
---|---|---|---|
Assertion | dvply2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cnring | |
|
2 | cnfldbas | |
|
3 | 2 | subrgid | |
4 | 1 3 | ax-mp | |
5 | plyssc | |
|
6 | 5 | sseli | |
7 | dvply2g | |
|
8 | 4 6 7 | sylancr | |