power set

the power set of a set is the set of all of its subsets.

$\text{[math]}$ [cite:;taken from @sets_enderton_1977; chapter 1]

given a set $\text{[math]}$ , the power set of $\text{[math]}$ is the set of all subsets of the set $\text{[math]}$ . the power set of $\text{[math]}$ is denoted by $\text{[math]}$ .
[cite:;taken from @discrete_kenneth_2018 chapter 2.1.5 power sets; definition 6]

given a set of size $\text{[math]}$ , its respective powerset has a size $\text{[math]}$ . [cite:;refer to @discrete_kenneth_2018 chapter 2.1.5 power sets]