Comment #4 on issue 2246 by [email protected]: Global directive to switch strict transformations
http://code.google.com/p/sympy/issues/detail?id=2246

Sure they could. But still it will be better to divide this problem into two subproblems (it could be one issue): 1st - change standard and special functions to be able to call inverse (using some cut agreements) if the keyword nonstrict or may be foliation or whatever are set to true.
2nd - do what you say in previous comment.

The profit of such differentiation is that the other functions like evalf will be able to use nonstrict computation, so the functionality won't be doubled for any function that need it (and this will be so if we implement it all inside solve function).

Anyway I will be glad to help.

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