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Proof by contradiction is a mathematical proof technique used to establish the truth of a statement by assuming the opposite of what is to be proven and showing that this assumption leads to a contradiction. This method is based on the principle of the law of non-contradiction, which states that a statement cannot be both true and false at the same time.

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  1. Methods of proof
  2. Proof theory
  3. Mathematical logic
  4. Fields of mathematics
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