Yesterday I was playing with symbolic expressions, and I had to apply
divide_both_sides(), and I encountered something funny: you can divide
by zero (with a bit of care). To show this, I've taken the classic
"proof" and created a worksheet:

http://flask.sagenb.org/home/pub/65/

Though I have got useful notices using other functions (such as "Is x
greater than zero?" when trying to solve an equation), I think that an
assumption should be made about the expression we are dividing by to
finally make the division.

Ideas?

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