- #1

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By definition, if a,b are integers, with [itex]a \ne 0[/itex], we say that a divides b if there exists an integer c such that b = ca.

So, n divides 0 means that there exists some integer c such that n = c*0 = 0. But this would contradict the fact that n can't be zero.

What is wrong with this proof?