\documentclass{article}
\newtheorem{axiom}{Axiom}
\newtheorem{theorem}{Theorem}
\newtheorem{lemma}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
\newcommand\unicdcdcdbg{\cup}
\newcommand\unicdcdbdgd{\setminus}
\newcommand\unicdcdcdjd{\cap}
\newcommand\unicdcdadad{\forall}
\newcommand\unicdbdjdcd{\Rightarrow}
\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
\newcommand\uniddcgcg{\lambda}
\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t53\_hurwitz (TMFCrZB2M7HaQMUkPGXcKQNX3TraLAuZAs3)}
\maketitle
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_complfld : {\iota}$ be given.
Let $ v1\_algseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ k2\_hurwitz : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ k3\_complex1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k17\_complex1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_polynom4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k7\_hurwitz : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_hurwitz : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_funct\_1~X0){\unicdcdcdhd}((v1\_funct\_2~X0~k5\_numbers~(u1\_struct\_0~\\
k1\_complfld)){\unicdcdcdhd}((v1\_algseq\_1~X0~k1\_complfld){\unicdcdcdhd}(m1\_subset\_1~X0~\\
(k1\_zfmisc\_1~(k2\_zfmisc\_1~k5\_numbers~(u1\_struct\_0~k1\_complfld))))))){\unicdbdjdcd}\\
(((r1\_xxreal\_0~np\_\_1~(k2\_hurwitz~k1\_complfld~X0)){\unicdcdcdhd}(v1\_hurwitz~\\
X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~k1\_complfld)){\unicdbdjdcd}\\
((\preoh (\preoh r1\_xxreal\_0~k6\_numbers~(k3\_complex1~X1)){\unicdcdcdhd}(r1\_xxreal\_0~\\
(k17\_complex1~(k2\_polynom4~k1\_complfld~(k7\_hurwitz~X0)~X1))~(\\
k17\_complex1~(k2\_polynom4~k1\_complfld~X0~X1)))){\unicdcdcdhd}((\preoh (\preoh r1\_xxreal\_0~\\
(k3\_complex1~X1)~k6\_numbers){\unicdcdcdhd}(r1\_xxreal\_0~(k17\_complex1~(k2\_polynom4~\\
k1\_complfld~X0~X1))~(k17\_complex1~(k2\_polynom4~k1\_complfld~(k7\_hurwitz~\\
X0)~X1)))){\unicdcdcdhd}((k3\_complex1~X1=k6\_numbers){\unicdbdjdcd}(k17\_complex1~(k2\_polynom4~\\
k1\_complfld~X0~X1)=k17\_complex1~(k2\_polynom4~k1\_complfld~(k7\_hurwitz~\\
X0)~X1)))))))\end{array}
\label{hyp:ehfdadpfigfhchhhjgehkh}
\end{equation}
\begin{theorem}\label{thm:ehfdddpfigfhchhhjgehkh}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_funct\_1~X0){\unicdcdcdhd}((v1\_funct\_2~X0~k5\_numbers~(u1\_struct\_0~\\
k1\_complfld)){\unicdcdcdhd}((v1\_algseq\_1~X0~k1\_complfld){\unicdcdcdhd}(m1\_subset\_1~X0~\\
(k1\_zfmisc\_1~(k2\_zfmisc\_1~k5\_numbers~(u1\_struct\_0~k1\_complfld))))))){\unicdbdjdcd}\\
(\preoh (r1\_xxreal\_0~np\_\_1~(k2\_hurwitz~k1\_complfld~X0)){\unicdcdcdhd}(({\unicdcdaddd} X1 .  \\
(m1\_subset\_1~X1~(u1\_struct\_0~k1\_complfld)){\unicdcdcdhd}((\preoh r1\_xxreal\_0~k6\_numbers~\\
(k3\_complex1~X1)){\unicdcdcdhd}(r1\_xxreal\_0~(k17\_complex1~(k2\_polynom4~k1\_complfld~\\
(k7\_hurwitz~X0)~X1))~(k17\_complex1~(k2\_polynom4~k1\_complfld~X0~\\
X1))))){\unicdcdcdhd}(v1\_hurwitz~X0)))\end{array}$$
\end{theorem}
\end{document}
