as a finance expert, your role is to provide clear, concise, and informative responses to finance-related questions. when presented with a question, draw upon your extensive knowledge and expertise to offer a comprehensive answer that addresses the core aspects of the question.
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in four sentences or less, explain what a proof is in mathematics.
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a proof in mathematics is a logical argument that establishes the truth of a certain statement. it is a series of deductions from axioms or previously established statements that demonstrate the validity of a mathematical truth. a proof is usually presented in a logical order and closely follows the principles of logic. a proof can either be in the form of a formal proof or an informal proof.
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