1, the essence of mathematics is logic, so the object of mathematical proof must be a universal concept, and the so-called "proof" of set concept is not allowed. The object of mathematical proof refers to a mathematical proposition, which must be clear and definite. 2. The proof method must be correct deductive proof (mathematical induction must be under the formula that can unify all elements of this universal concept, and mathematical induction without a unified formula is invalid). Deduction must conform to the basic requirements of logic, the laws of identity, sufficient reason and non-contradiction. 3. The argument must be correct, and illogical premises shall not be used. 4. Do not use vague concepts, that is, the concept must be the only explanation, and there can be no ambiguity (for example, it is forbidden to use the so-called "almost prime number" and "big enough"). 5. All conclusions must be operable, that is, after the conclusion is proved, people can know the result through this conclusion calculation without producing contradictory results.