query: $A_1 \times ... \times A_n$ is countable if $A_1, ..., A_n$ are countable
positive_passages.docid: 157081
positive_passages.text: The cartesian product of a finite amount of countable sets is countable.
negative_passages.docid: 100333
negative_passages.text: Show A is countable infinity
negative_passages.docid: 88904
negative_passages.text: Help with a proof. Countable sets.
negative_passages.docid: 27937
negative_passages.text: Cartesian Product of Two Countable Sets is Countable
negative_passages.docid: 41099
negative_passages.text: If $A \subseteq C$ and $B \subseteq D$ then $A \times B \subseteq C \times D$
negative_passages.docid: 53707
negative_passages.text: Prove that if $A$ is an infinite set then $A \times 2$ is equipotent to $A$
negative_passages.docid: 155168
negative_passages.text: Is the collection of finite subsets of $\mathbb{Z}$ countable?
negative_passages.docid: 70143
negative_passages.text: Mutually exclusive countable subsets of a countable set
negative_passages.docid: 124060
negative_passages.text: Are these subsets of the powerset P(N) countable?
negative_passages.docid: 80684
negative_passages.text: Counter example for $(A \times B) \cap (C \times D) = (A \cap C ) \times (B \cap D)$
negative_passages.docid: 55978
negative_passages.text: Prove that for every countable ordinal $\alpha$, $\alpha\times[0,1)$ is order isomoprhic to $[0,1)$
negative_passages.docid: 122506
negative_passages.text: Relation on countable sets
negative_passages.docid: 50939
negative_passages.text: If $A$ and $B$ are nonempty sets, prove that $A \times B = B \times A$ if and only if $A = B$
negative_passages.docid: 130981
negative_passages.text: Co-countable measure on uncountable set
negative_passages.docid: 128437
negative_passages.text: How to prove that a finite set is countable
negative_passages.docid: 99656
negative_passages.text: Prove that the set of all algebraic numbers is countable
negative_passages.docid: 2269
negative_passages.text: Proof that the real numbers are countable: Help with why this is wrong