Yeah, it would be cool to have assumptions for functions.  Stuff like 
one-to-one, onto, increasing, strictly increasing (implies one-to-one), 
continuous, etc.

Aaron Meurer

On Jun 2, 2011, at 12:52 PM, Christophe BAL wrote:

> Hello.
> 
> >>> On the other hand, maybe solve should be able to tell 
> >>> that f(x) - f(y) == 0 implies the solution x == y 
> >>> (but there may be more solutions unless f is one-to-one).
> 
> Ir could be a nice feature to have the possibility to declare a function to 
> be one-to-one so as to solve the very simple preceding equation not treated 
> by sympy.
> 
> Best regards.
> C. 
> 
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