Set/Disjoint union/Bijection of the power sets/2/Exercise

Let ${}G$ be a set, which is given as a disjoint union

${}G=A\uplus B\,.$

Define a bijection between the power set ${}{\mathfrak {P}}\,(G)$ and the product set ${}{\mathfrak {P}}\,(A)\times {\mathfrak {P}}\,(B)$.

Create a solution