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Consider $A \subset \{0,1\}^n$
I want $A$ to have $2$ properties.
$1.$ $A$ is increasing, i.e., If $x \in A$ and $x \subseteq y$ then $y \in A$ too.
[$x \subseteq y$ means that every coordinate of $y$ is greater that or equal to corresponding coordinate of $x$]
$2.$ $A^c$ is equal to set...