Kerodon

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

Proof. Apply Corollary 9.1.9.23 in the special case $\kappa = \aleph _0$. $\square$