\relax \ifx\hyper@anchor\@undefined \global \let \oldcontentsline\contentsline \gdef \contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} \global \let \oldnewlabel\newlabel \gdef \newlabel#1#2{\newlabelxx{#1}#2} \gdef \newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}} \AtEndDocument{\let \contentsline\oldcontentsline \let \newlabel\oldnewlabel} \else \global \let \hyper@last\relax \fi \citation{6} \@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}{section.1}} \newlabel{eq:motzkin}{{1}{1}{Introduction\relax }{equation.1}{}} \newlabel{eq:trinomial}{{2}{1}{Introduction\relax }{equation.2}{}} \citation{5} \citation{6} \citation{5} \@writefile{toc}{\contentsline {section}{\numberline {2}Proof of the main result}{2}{section.2}} \@writefile{toc}{\contentsline {paragraph}{Proof of \textup {\hbox {\mathsurround \z@ \normalfont (\ignorespaces \ref {eq:motzkin}\unskip \@@italiccorr )}}.}{2}{section*.1}} \newlabel{eq:symmetry}{{3}{2}{Proof of \eqref {eq:motzkin}}{equation.3}{}} \citation{6} \@writefile{toc}{\contentsline {paragraph}{Proof of \textup {\hbox {\mathsurround \z@ \normalfont (\ignorespaces \ref {eq:trinomial}\unskip \@@italiccorr )}}.}{3}{section*.2}} \citation{5} \citation{4} \citation{1} \citation{2} \citation{3} \citation{6} \bibcite{1}{1} \bibcite{2}{2} \bibcite{3}{3} \newlabel{eq:liggett}{{4}{4}{Proof of \eqref {eq:trinomial}}{equation.4}{}} \@writefile{toc}{\contentsline {paragraph}{Remarks.}{4}{section*.3}} \@writefile{toc}{\contentsline {section}{\numberline {3}Acknowledgments}{4}{section.3}} \bibcite{4}{4} \bibcite{5}{5} \bibcite{6}{6}