\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=}
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\newcommand\unicdcdcdjd{\cap}
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\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
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\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t26\_conlat\_1 (TMUmR5NrZMhk81EiLkSZdZaQELR6G2R6E5h)}
\maketitle
Let $ v1\_conlat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_conlat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v6\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ l2\_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 $ v8\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v9\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ u2\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u3\_conlat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ l5\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_xboole\_0}~{X0}})}{\unicdbdjdcd}{({{X0}={k1\_xboole\_0}})}}}\label{hyp:ehgdpfcgpgpgmgfg}
\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 .  \\
((\preoh v5\_conlat\_1~X1~X0){\unicdcdcdhd}((v7\_conlat\_1~X1~X0){\unicdcdcdhd}(l2\_conlat\_1~X1~X0))){\unicdbdjdcd}\\
(((u2\_conlat\_1~X0~X1=k1\_xboole\_0){\unicdbdjdcd}(v9\_conlat\_1~X1~X0)){\unicdcdcdhd}((u3\_conlat\_1~\\
X0~X1=k1\_xboole\_0){\unicdbdjdcd}(v8\_conlat\_1~X1~X0))))\end{array}
\label{hyp:ehcdedpfdgpgogmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{l1\_conlat\_1}~{X0}})}{\unicdbdjdcd}{({{l5\_struct\_0}~{X0}})}}}\label{hyp:egehpfmgbdpfdgpgogmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l5\_struct\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (l2\_conlat\_1~X1~X0){\unicdbdjdcd}\\
((v6\_conlat\_1~X1~X0){\unicdbdjded}((v1\_xboole\_0~(u2\_conlat\_1~X0~X1)){\unicdcdcdid}(v1\_xboole\_0~\\
(u3\_conlat\_1~X0~X1)))))\end{array}
\label{hyp:egjdpfdgpgogmgbgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehcdgdpfdgpgogmgbgehpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_conlat\_1~X0){\unicdcdcdhd}(l1\_conlat\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v6\_conlat\_1~X1~X0){\unicdcdcdhd}(l2\_conlat\_1~X1~X0)){\unicdbdjdcd}(\preoh ((\preoh v5\_conlat\_1~X1~\\
X0){\unicdcdcdhd}((v7\_conlat\_1~X1~X0){\unicdcdcdhd}(l2\_conlat\_1~X1~X0))){\unicdcdcdhd}((\preoh v8\_conlat\_1~\\
X1~X0){\unicdcdcdhd}(\preoh v9\_conlat\_1~X1~X0))))\end{array}$$
\end{theorem}
\end{document}
