# Entwining

True or false?:

"Given $$n$$ countably infinite sets $$A_1, A_2,A_3,\ldots,A_n$$ with $$n\geq2$$, there exist a positive integer $$m\leq n$$ such that the Cartesian product $$A_1 \times A_2 \times \ldots \times A_m$$ is uncountably infinite."

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