Theorem: Schröder-Bernstein Theorem

Let $A$ and $B$ be sets with the cardinalities $|A|$ and $|B|$. If $|A|\le|B|$ and $|B|\le|A|,$ then both sets are equipotent, i.e. $|A|=|B|.$

Proofs: 1

Chapters: 1
Proofs: 2


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References

Bibliography

  1. Knauer Ulrich: "Diskrete Strukturen - kurz gefasst", Spektrum Akademischer Verlag, 2001
  2. Wille, D; Holz, M: "Repetitorium der Linearen Algebra", Binomi Verlag, 1994