\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\_modelc\_2 (TMbuaiidDm3BToscY6KQfZQ3vkAvq7d8gtJ)}
\maketitle
Let $ v1\_modelc\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ v6\_modelc\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k6\_modelc\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k10\_modelc\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_modelc\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_modelc\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_modelc\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_modelc\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v7\_modelc\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v8\_modelc\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k3\_modelc\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_modelc\_2~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}(\\
(v3\_modelc\_2~X0){\unicdbdjdcd}((\preoh v2\_modelc\_2~X0){\unicdcdcdhd}((\preoh v4\_modelc\_2~X0){\unicdcdcdhd}((\preoh \\
v5\_modelc\_2~X0){\unicdcdcdhd}((\preoh v6\_modelc\_2~X0){\unicdcdcdhd}((\preoh v7\_modelc\_2~X0){\unicdcdcdhd}(\preoh v8\_modelc\_2~\\
X0)))))))\end{array}
\label{hyp:mgddgdpfngpgegfgmgdgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_modelc\_2~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}(\\
((v3\_modelc\_2~X0){\unicdcdcdid}(v6\_modelc\_2~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_modelc\_2~\\
X1){\unicdcdcdhd}(m2\_finseq\_1~X1~k5\_numbers)){\unicdbdjdcd}(((v3\_modelc\_2~X0){\unicdbdjdcd}((X1=k10\_modelc\_2~\\
X0){\unicdbdjded}(k3\_modelc\_2~X1=X0))){\unicdcdcdhd}((\preoh v3\_modelc\_2~X0){\unicdbdjdcd}((X1=k10\_modelc\_2~\\
X0){\unicdbdjded}(k6\_modelc\_2~X1=X0))))))\end{array}
\label{hyp:egbdidpfngpgegfgmgdgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_modelc\_2~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}(\\
(v6\_modelc\_2~X0){\unicdbdjded}({\unicdcdaddd} X1 .  ((v1\_modelc\_2~X1){\unicdcdcdhd}(m2\_finseq\_1~\\
X1~k5\_numbers)){\unicdcdcdhd}(X0=k6\_modelc\_2~X1)))\end{array}
\label{hyp:egbdfdpfngpgegfgmgdgpfcd}
\end{equation}
\begin{theorem}\label{thm:ehfdpfngpgegfgmgdgpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_modelc\_2~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjdcd}(\\
(v6\_modelc\_2~X0){\unicdbdjdcd}(X0=k6\_modelc\_2~(k10\_modelc\_2~X0)))\end{array}$$
\end{theorem}
\end{document}
