Comment #2 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
You really should use Equivalent, which is the logical double implies
In [39]: simplify_logic(And(Equivalent(a, b), c))
Out[39]: c ∧ (a ∨ ¬ b) ∧ (b ∨ ¬ a)
In [40]: simplify(And(Equivalent(a, 2), c))
Out[40]: a ∧ c
But it should probably convert Equality to Equivalent for logical
simplification automatically.
I don't see how the fully symbolic case is wrong. a <=> b is the same as
[(a or not b) and (not a or b)] (for example, if a is true, the expression
reduces to just "b"; if a is false, it reduces to just "not b").
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