Hi
this is a very minor thing but
\begin{theorem}[Smale 1958]
\label{thm:sphere_eversion}
\lean{sphere_eversion}
\leanok
\uses{def:immersion}
There is a homotopy of immersions of $𝕊^2$ into $ℝ^3$ from the inclusion map to
the antipodal map $a : q ↦ -q$.
\end{theorem}
\begin{proof}
\leanok
\uses{thm:open_ample, lem:open_ample_immersion}
This obviously follows from what we did so far.
\end
should be
\begin{theorem}[Smale 1958]
\label{thm:sphere_eversion}
\lean{sphere_eversion}
\leanok
\uses{def:immersion}
There is a homotopy of immersions of $𝕊^2$ into $ℝ^3$ from the inclusion map to
the antipodal map $a : q ↦ -q$.
\end{theorem}
\begin{proof}
\leanok
\uses{thm:open_ample, lem:open_ample_immersion}
This obviously follows from what we did so far.
\end{proof}
Hi
this is a very minor thing but
should be