Let we have to prove that a=b where a & b are integers. Proof: Multiplying LHS & RHS by 0. So, LHS = a * 0 = 0 RHS= b * 0=0 So a=b.

I know its wrong but why?

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From \(a\cdot 0=b\cdot 0\), you can't get rid of the zero - you would have to divide by zero, which is undefined! :)

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