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Mathematical proof

A mathematical proof is a rigorous argument that validates the truth of a mathematical statement. It is a fundamental part of mathematics, serving to establish the validity of mathematical ideas and theories.

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It is a fundamental part of mathematics, serving to establish the validity of mathematical ideas and theories. The proof process involves logical reasoning and deductive logic, starting from axioms or previously established theorems and using them to derive new results. A proof must be clear, accurate, and convincing, providing sufficient evidence to support the claim being made. Various methods and techniques are employed in mathematical proofs, including direct proof, indirect proof, proof by contradiction, and proof by induction. Mathematical proof is considered the gold standard of reasoning in mathematics, ensuring the reliability and trustworthiness of mathematical knowledge.

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