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## Main Question or Discussion Point

Ok, so suppose f is a function which takes us from the Reals in p space to the Reals in m space. And f(x+y)=f(x) + f(y) for all x and y 's in the Reals in p space.

Now if f(0)=0, how do I now show f(x-y)= f(x) - f(y)?

Now if f(0)=0, how do I now show f(x-y)= f(x) - f(y)?