Some of Eq's problems:
In [1]: srepr(Eq(x, y)*2)
Out[1]: "Mul(Integer(2), Equality(Symbol('x'), Symbol('y')))"
In [2]: Eq(x, y)*2
Out[2]: 2⋅x = y
The formatted output is wrong, the tree expression corresponds to Mul(2,
Eq(x, y)), not to Eq(Mul(2, x), y) as it looks like in the formatted output.
In any case, I would suggest to change the behavior to the one displayed in
Out[2] even in the expression tree, both for Eq( ... ) * ... and for Eq(
... ) + ...
In [3]: Eq(x, y) + Eq(z, t)
Out[3]: x = y + z = t
In [4]: srepr(Eq(x, y)+Eq(z, t))
Out[4]: "Add(Equality(Symbol('x'), Symbol('y')), Equality(Symbol('z'),
Symbol('t')))"
Again, maybe this should rather produce Eq(x+z, y+t)?
By the way, is there any way to swap the hand-sides of Equality? Otherwise
it could be easily added something like:
>>> Eq(x, y).swap_hs()
y == x
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