\( \newcommand{\matr}[1] {\mathbf{#1}} \newcommand{\vertbar} {\rule[-1ex]{0.5pt}{2.5ex}} \newcommand{\horzbar} {\rule[.5ex]{2.5ex}{0.5pt}} \)
header
Show Answer
\( \newcommand{\cat}[1] {\mathrm{#1}} \newcommand{\catobj}[1] {\operatorname{Obj}(\mathrm{#1})} \newcommand{\cathom}[1] {\operatorname{Hom}_{\cat{#1}}} \)
Math and science::Analysis::Tao::03: Set theory

Power set axiom

Let \( X \) and \( Y \) be sets. Then there exists a set, denoted \( Y^X \), which consists of [...], thus

\[ f \in Y^X \iff f \text{ is a function with domain } X \text{ and range } Y  \]