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The Schröder–Bernstein theorem, traditionally framed in set theory, states that if there are injective (one-to-one) functions \( f: A \to B \) and \( g: B \to A \) between two sets \( A \) and \( B \), then there exists a bijection (one-to-one and onto function) between \( A \) and \( B \).

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  1. Operator theory
  2. Mathematical physics
  3. Applied mathematics
  4. Fields of mathematics
  5. Mathematics
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