The following works perfectly in sage
sage: x, y = var('x y')
sage: f = function('f')
sage: f(x+x+y)
f(2*x + y)
sage: f(x+x+y) + f(y)
f(2*x + y) + f(y)
Now I want to know whether symbolic callable Boolean functions can be created
in sage which will exhibit the following characteristics:
x,y -----> symbolic boolean variables
f -------> symbolic Boolean function
f(x+x+y) + f(y) results in 0. [x+x=0, f(x+x+y) + f(y) should become f(y) + f(y)
which in turn should equate to 0]
2*f(x) results in 0.
3*f(x) results in f(x).
........
and so on.
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