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Thread: Schroeder-Bernstein Theorem

  1. #1
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    Schroeder-Bernstein Theorem

    If $\displaystyle f: A \to B $ and $\displaystyle g: B \to A $ are injections, then there exists a bijection $\displaystyle h: A \to B $.

    So $\displaystyle |A| \leq|B| $ and $\displaystyle |B| \leq |A| $ then $\displaystyle |A| = |B| $.

    I dont understand the proof of this theorem.
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