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Corollary: Cartesian Products of Countable Sets Is Countable

(related to Proposition: Union of Countably Many Countable Sets)

Let $A_1,\ldots,A_n$ be countable sets and let $A=A_1\times\ldots\times A_n$ bet their Cartesian product. Then $A$ is countable.

Table of Contents

Proofs: 1

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References

Bibliography

  1. Modler, F.; Kreh, M.: "Tutorium Analysis 1 und Lineare Algebra 1", Springer Spektrum, 2018, 4th Edition