\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{t23\_conlat\_1 (TMRmXmdHVW5Zz4mVyUDUudzLw1wFdQE3fGs)}
\maketitle
Let $ v1\_conlat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_conlat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ u2\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k5\_conlat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u3\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_conlat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u4\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v4\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v5\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v7\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v9\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ l2\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v8\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l1\_conlat\_1~X0)){\unicdbdjdcd}((v4\_conlat\_1~\\
(k6\_conlat\_1~X0)~X0){\unicdcdcdhd}((\preoh v5\_conlat\_1~(k6\_conlat\_1~X0)~X0){\unicdcdcdhd}((v7\_conlat\_1~\\
(k6\_conlat\_1~X0)~X0){\unicdcdcdhd}((v9\_conlat\_1~(k6\_conlat\_1~X0)~X0){\unicdcdcdhd}(l2\_conlat\_1~\\
(k6\_conlat\_1~X0)~X0)))))\end{array}
\label{hyp:egehpflggdpfdgpgogmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l1\_conlat\_1~X0)){\unicdbdjdcd}((v4\_conlat\_1~\\
(k5\_conlat\_1~X0)~X0){\unicdcdcdhd}((\preoh v5\_conlat\_1~(k5\_conlat\_1~X0)~X0){\unicdcdcdhd}((v7\_conlat\_1~\\
(k5\_conlat\_1~X0)~X0){\unicdcdcdhd}((v8\_conlat\_1~(k5\_conlat\_1~X0)~X0){\unicdcdcdhd}(l2\_conlat\_1~\\
(k5\_conlat\_1~X0)~X0)))))\end{array}
\label{hyp:egehpflgfdpfdgpgogmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l1\_conlat\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(l2\_conlat\_1~X1~X0){\unicdbdjdcd}((v9\_conlat\_1~X1~X0){\unicdbdjded}(u3\_conlat\_1~X0~X1=u4\_struct\_0~\\
X0)))\end{array}
\label{hyp:egbdcdpfdgpgogmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l1\_conlat\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(l2\_conlat\_1~X1~X0){\unicdbdjdcd}((v8\_conlat\_1~X1~X0){\unicdbdjded}(u2\_conlat\_1~X0~X1=u1\_struct\_0~\\
X0)))\end{array}
\label{hyp:egbdbdpfdgpgogmgbgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehcdddpfdgpgogmgbgehpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l1\_conlat\_1~X0)){\unicdbdjdcd}((u2\_conlat\_1~\\
X0~(k5\_conlat\_1~X0)=u1\_struct\_0~X0){\unicdcdcdhd}(u3\_conlat\_1~X0~(k6\_conlat\_1~\\
X0)=u4\_struct\_0~X0))\end{array}$$
\end{theorem}
\end{document}
