What is proof by exhaustion?

Proof by exhaustion, also known as proof by cases, proof by case analysis, complete induction or the brute force method, is a method of mathematical proof in which the statement to be proved is split into a finite number of cases or sets of equivalent cases, and where each type of case is checked to see if the proposition in question holds.

Which statement is not enough for a proof?

Presenting many cases in which the statement holds is not enough for a proof, which must demonstrate that the statement is true in all possible cases. A proposition that has not been proved but is believed to be true is known as a conjecture, or a hypothesis if frequently used as an assumption for further mathematical work.

What does proof mean?

Proof is a fact, argument, or piece of evidence which shows that something is definitely true or definitely exists. This is not necessarily proof that he is wrong. I would need to bring in something with my French address on it as proof of residence. [ + of] Economists have been concerned with establishing proofs for their arguments.

What is a proof (CD)?

A proof (also known as a deduction or derivation) \ (\cD\) is a tree of sequents satisfying the conditions that (i) the topmost sequents of \ (\cD\) are logical axioms and (ii) every sequent in \ (\cD\) except the lowest one is an upper sequent of an inference whose lower sequent is also in \ (\cD\).