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how to proof in mathematics. The last claim in the sequence is the statement of the theorem or a statement that clearly implies the theorem. Ill distinguish between two broad categories.
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Every mathematical statement in a proof must be justiļ¬ed in one or more of the following six ways. Mathematical proofs use deductive reasoning where a conclusion is drawn from multiple premises. A single step derivation will suffice.
A proof of a theorem is a nite sequence of claims each claim being derived logically ie.
The sum of the angles in a k1-gon k - 1 180. Once one accepts the logical processes involved in a proof no further observation or change in fashion will change the validity of a mathematical result. By substituting in some tautology from the previous claims as well as theorems whose truth has been already established. How to Do Math Proofs Method 1of 3.
