How To Do Proof By Exhaustion. Proving all multiples of 4 are even can’t be shown for every multiple of 4. Otherwise, the proof is futile.
Hence, we have proved by deduction that the difference between the squares of any two consecutive integers is equal to the sum of those integers. An exhaustive proof consists of literally (and exhaustively) checking every element of the universe to see if the given statement is true for it. Proof by exhaustion must show that a statement is true for each unavoidable configuration as noted by grand valley state university.
