\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{t55\_algspec1 (TMaJVuhVGAstAb93ZkEQf3vtNp9fsgNyVtE)}
\maketitle
Let $ v11\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_instalg1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_msualg\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_msualg\_6 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ l3\_msualg\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m4\_algspec1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m2\_algspec1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m3\_algspec1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{({{v1\_instalg1}~{X0}})}{\unicdcdcdhd}{({{l1\_msualg\_1}~{X0}})}})}{\unicdbdjdcd}{({{{m2\_algspec1}~{X0}}~{X0}})}}}\label{hyp:ehedfdpfbgmghgdhahfgdgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_instalg1~X0){\unicdcdcdhd}(l1\_msualg\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m3\_algspec1~X1){\unicdbdjdcd}((m4\_algspec1~X1~X0){\unicdbdjded}({\unicdcdaddd} X2 .  ((\preoh v11\_struct\_0~\\
X2){\unicdcdcdhd}(m2\_algspec1~X2~X0)){\unicdcdcdhd}((v1\_msualg\_6~X1~X2){\unicdcdcdhd}(l3\_msualg\_1~X1~\\
X2)))))\end{array}
\label{hyp:eghdpfbgmghgdhahfgdgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m3\_algspec1~X0){\unicdbdjded}({\unicdcdaddd} X1 .  ((\preoh v11\_struct\_0~X1){\unicdcdcdhd}\\
((v1\_instalg1~X1){\unicdcdcdhd}(l1\_msualg\_1~X1))){\unicdcdcdhd}((v1\_msualg\_6~X0~X1){\unicdcdcdhd}(\\
l3\_msualg\_1~X0~X1)))\end{array}
\label{hyp:eggdpfbgmghgdhahfgdgbd}
\end{equation}
\begin{theorem}\label{thm:ehfdfdpfbgmghgdhahfgdgbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v11\_struct\_0~X0){\unicdcdcdhd}((v1\_instalg1~X0){\unicdcdcdhd}(l1\_msualg\_1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_msualg\_6~X1~X0){\unicdcdcdhd}(l3\_msualg\_1~X1~X0)){\unicdbdjdcd}\\
(m4\_algspec1~X1~X0))\end{array}$$
\end{theorem}
\end{document}
