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The Cut-Elimination Theorem is a fundamental result in proof theory, particularly in the context of sequent calculus and formal systems. It asserts that any proof in a certain logical system that includes the use of "cut" inference rules can be transformed into a proof that does not use these cut rules, thus ensuring that the proof is "cut-free.

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  1. Theorems in the foundations of mathematics
  2. Foundations of mathematics
  3. Fields of mathematics
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