### Defining differential operator that acts like curl

Hello,

As a newbie in using SAGE (experience with Python and Numpy), I was wondering how to define a differential operator that acts like curl (or $\nabla \times \vec F$). The curl for a vector field $\vec F=(F_x,F_y, F_z)$is defined as a determinant $\mathrm{det} (\nabla,\vec F) $. I want to define such operators that act on $F_x, F_y, F_z$ **without calculating the determinant a priori**. In other words if I was to multiply $\frac {\partial }{\partial x}$ with $F_y$, I would expect to get $\frac{\partial F_y}{\partial x}$
EDIT:

class DiffOpp(SageObject):

```
class DiffOpp(SageObject):
def __init__(self, dep_var):
self.dep_var = dep_var
def __mul__(self, f):
return diff(f, self.dep_var)
```