Kerodon

$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$

Remark 4.7.2.9. The collection of cardinals is well-ordered. That is, if $S$ is any nonempty collection of cardinals, then $S$ contains a smallest element (see Corollary 4.7.1.24).