Axioms within the system, definitions, theorems "already proven" (not relying upon this theorem directly or indirectly for truth), and logic.
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You try to, if a theorem is proven it becomes a law, however it is a long and painstaking process, if what all my science and math teachers tell me is true.
There is more than one way to prove a given mathematical proposition. If the sequence of reasoning is valid, then the proof is correct. That is all that is required.
Postulates and axioms are accepted without proof in a logical system. Theorems and corollaries require proof in a logical system.
Pythagorean's Theorem is one of the most famous ones. It says that the two squared sides of a right triangle equal the squared side of the hypotenuse. In other words, a2 + b2 = c2
Putting a question mark at the end of a few words does not make it a sensible question. Please try again.
Prove that if it were true then there must be a contradiction.