\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{t5\_jordan1c (TMatkKX5JzNzoiu1Bmjiz4HF5zvCoW2JtUt)}
\maketitle
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k15\_euclid : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v9\_rltopsp1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k6\_pscomp\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k17\_euclid : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k8\_pscomp\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k9\_pscomp\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k18\_euclid : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k7\_pscomp\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_pscomp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_pre\_topc : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_pscomp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k5\_pscomp\_1 : {\iota}$ be given.
Let $ k2\_pscomp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_pscomp\_1 : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(u1\_struct\_0~(k15\_euclid~np\_\_2))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~\\
np\_\_2)))){\unicdbdjdcd}(((X0 \in X1){\unicdcdcdhd}(v9\_rltopsp1~X1~(k15\_euclid~np\_\_2))){\unicdbdjdcd}(\\
(r1\_xxreal\_0~(k1\_pscomp\_1~(k1\_pre\_topc~(k15\_euclid~np\_\_2)~X1)~\\
(k3\_pscomp\_1~(k15\_euclid~np\_\_2)~k5\_pscomp\_1~X1))~(k18\_euclid~\\
X0)){\unicdcdcdhd}(r1\_xxreal\_0~(k18\_euclid~X0)~(k2\_pscomp\_1~(k1\_pre\_topc~\\
(k15\_euclid~np\_\_2)~X1)~(k3\_pscomp\_1~(k15\_euclid~np\_\_2)~k5\_pscomp\_1~\\
X1))))))\end{array}
\label{hyp:mgbdddpfkgpgchegbgogbddg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(u1\_struct\_0~(k15\_euclid~np\_\_2))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~\\
np\_\_2)))){\unicdbdjdcd}(((X0 \in X1){\unicdcdcdhd}(v9\_rltopsp1~X1~(k15\_euclid~np\_\_2))){\unicdbdjdcd}(\\
(r1\_xxreal\_0~(k1\_pscomp\_1~(k1\_pre\_topc~(k15\_euclid~np\_\_2)~X1)~\\
(k3\_pscomp\_1~(k15\_euclid~np\_\_2)~k4\_pscomp\_1~X1))~(k17\_euclid~\\
X0)){\unicdcdcdhd}(r1\_xxreal\_0~(k17\_euclid~X0)~(k2\_pscomp\_1~(k1\_pre\_topc~\\
(k15\_euclid~np\_\_2)~X1)~(k3\_pscomp\_1~(k15\_euclid~np\_\_2)~k4\_pscomp\_1~\\
X1))))))\end{array}
\label{hyp:mgbdcdpfkgpgchegbgogbddg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~\\
np\_\_2)))){\unicdbdjdcd}(k8\_pscomp\_1~X0=k2\_pscomp\_1~(k1\_pre\_topc~(k15\_euclid~\\
np\_\_2)~X0)~(k3\_pscomp\_1~(k15\_euclid~np\_\_2)~k4\_pscomp\_1~X0))\end{array}
\label{hyp:egjdpfahdhdgpgngahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~\\
np\_\_2)))){\unicdbdjdcd}(k7\_pscomp\_1~X0=k2\_pscomp\_1~(k1\_pre\_topc~(k15\_euclid~\\
np\_\_2)~X0)~(k3\_pscomp\_1~(k15\_euclid~np\_\_2)~k5\_pscomp\_1~X0))\end{array}
\label{hyp:egidpfahdhdgpgngahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~\\
np\_\_2)))){\unicdbdjdcd}(k6\_pscomp\_1~X0=k1\_pscomp\_1~(k1\_pre\_topc~(k15\_euclid~\\
np\_\_2)~X0)~(k3\_pscomp\_1~(k15\_euclid~np\_\_2)~k4\_pscomp\_1~X0))\end{array}
\label{hyp:eghdpfahdhdgpgngahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~\\
np\_\_2)))){\unicdbdjdcd}(k9\_pscomp\_1~X0=k1\_pscomp\_1~(k1\_pre\_topc~(k15\_euclid~\\
np\_\_2)~X0)~(k3\_pscomp\_1~(k15\_euclid~np\_\_2)~k5\_pscomp\_1~X0))\end{array}
\label{hyp:egbdadpfahdhdgpgngahpfbd}
\end{equation}
\begin{theorem}\label{thm:ehfdpfkgpgchegbgogbddg}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(u1\_struct\_0~(k15\_euclid~np\_\_2))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~\\
np\_\_2)))){\unicdbdjdcd}(((X0 \in X1){\unicdcdcdhd}(v9\_rltopsp1~X1~(k15\_euclid~np\_\_2))){\unicdbdjdcd}(\\
(r1\_xxreal\_0~(k6\_pscomp\_1~X1)~(k17\_euclid~X0)){\unicdcdcdhd}((r1\_xxreal\_0~\\
(k17\_euclid~X0)~(k8\_pscomp\_1~X1)){\unicdcdcdhd}((r1\_xxreal\_0~(k9\_pscomp\_1~\\
X1)~(k18\_euclid~X0)){\unicdcdcdhd}(r1\_xxreal\_0~(k18\_euclid~X0)~(k7\_pscomp\_1~\\
X1)))))))\end{array}$$
\end{theorem}
\end{document}
