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Indirect proof can be done as ‘proof by contraposition’.
Proof by contraposition:
The contraposition of the statement is "If n is odd then is even,".
Hence, to proof the contraposition, we need to assume that n is odd.
By the definition of odd numbers, there is an integer k such that
On substituting into , we get
Thus, we can find an integer such that
It shows, is even.
Since the contraposition is true then the original statement is also true.