Comment #16 on issue 2440 by [email protected]: Equal Integrals compare different when using different variables
http://code.google.com/p/sympy/issues/detail?id=2440
You and I are thinking of doing in different ways. I would just start out with Integral(exp(-x**2), (x, -oo, oo)) * Integral(exp(-y**2), (y, -oo, oo)), and use some operations to denest that into one integral. You would start with Integral(exp(-x**2), (x, -oo, oo))**2 and use some other operation to denest it (essentially reducing the above steps into one). Shouldn't we be able to do it both ways?
I see your argument, though, which is that if we had a function to denest a power, the former operation would be unnecessary. I guess a counter argument could be that it would be less instructive if we are forced to use an operation that skips steps.
I'll see if I can think of other examples where equal/unequal would be useful or harmful.
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