\relax 
\newlabel{lem:k3-parity}{{1}{1}}
\newlabel{cor:sigma-parity}{{2}{1}}
\newlabel{lem:tire-pair-parity}{{3}{2}}
\newlabel{thm:chain-preserves}{{1}{2}}
\newlabel{thm:outer-absorption}{{2}{2}}
\newlabel{conj:nonempty}{{}{3}}
\gdef \@abspage@last{3}
