Originally posted by loop quantum gravity
i didnt think about it very much so perhaps from this had risen the misunderstanding.
i guess in the real numbers is really trivial.
so lets say just prooving for integers how do you go around prooving this?
[x,y]=[Z] or [x,x/(x1)]=[Z]

For [tex]\frac{x}{x1}[/tex] to be an integer, [tex]x1[/tex] must divide[tex]x[/tex]. Since the difference between the two is 1, their greatest common factor is 1, so the only solutions are [tex]x1=1[/tex] and [tex]x1=1[/tex] (2+2=2*2 and 0+0=0*0).