\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{t46\_algspec1 (TMbaVpJQnZGTG1iQEPgXzToouAvK2RdttQg)}
\maketitle
Let $ v1\_instalg1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_msualg\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_algspec1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m1\_instalg1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_instalg1~X0){\unicdcdcdhd}(l1\_msualg\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_instalg1~X1~X0){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_instalg1~X2~X1){\unicdbdjdcd}(m1\_instalg1~\\
X2~X0)))\end{array}
\label{hyp:ehbdgdpfjgogdhehbgmghgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_instalg1~X0){\unicdcdcdhd}(l1\_msualg\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m2\_algspec1~X1~X0){\unicdbdjdcd}((v1\_instalg1~X1){\unicdcdcdhd}(l1\_msualg\_1~X1)))\end{array}
\label{hyp:egehpfngcdpfbgmghgdhahfgdgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_instalg1~X0){\unicdcdcdhd}(l1\_msualg\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v1\_instalg1~X1){\unicdcdcdhd}(l1\_msualg\_1~X1)){\unicdbdjdcd}((m2\_algspec1~X1~X0){\unicdbdjded}(m1\_instalg1~\\
X0~X1)))\end{array}
\label{hyp:egfdpfbgmghgdhahfgdgbd}
\end{equation}
\begin{theorem}\label{thm:ehedgdpfbgmghgdhahfgdgbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_instalg1~X0){\unicdcdcdhd}(l1\_msualg\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m2\_algspec1~X1~X0){\unicdbdjdcd}({\unicdcdadad} X2 .  (m2\_algspec1~X2~X1){\unicdbdjdcd}(m2\_algspec1~\\
X2~X0)))\end{array}$$
\end{theorem}
\end{document}
