In mathematics, a proof in which you assume temporarily that the conclusion is not true, and then deduce a contradiction.

For example:

Given: n is an integer and n^2 is even.
Prove: n is even.

Proof
Asume temporarily that n is not even. Then n is odd, and n^2 = n * n = odd * odd = odd. But this
contradicts the given information that n^2 is even. Therfore the temporary assumption that n is not
even must be false. It follows that n is even.