Comment #3 on issue 4009 by [email protected]: Incorrect behaviour in simplify when used with And and Equality
http://code.google.com/p/sympy/issues/detail?id=4009

I am interested in actual equality, not equivalence. I am trying to check if a set of equations all hold, and am doing this with a number of Equality objects all wrapped together in an And object. Replacing Equality with Equivalent would not enforce a==b, it would only enforce that a==0 and b==0 or a!=0 and b!=0. In cases where a==1 and b==2, the equation should be False, whereas Equivalent would see it as True. Therefore, I don't think simplify should replace Equality with Equivalent.

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