\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}
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\newcommand\unicdbdjdcd{\Rightarrow}
\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
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\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t53\_fomodel0 (TMWSweqgvZ3JYt7bae4aiFRcEybrvEEq6G9)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_finseq\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_finseq\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v5\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_setfam\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k8\_fomodel0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k13\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_fomodel0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  (\preoh v1\_xboole\_0~\\
X2){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v1\_relat\_1~X3){\unicdcdcdhd}((v1\_funct\_1~X3){\unicdcdcdhd}(v1\_finseq\_1~\\
X3))){\unicdbdjdcd}((\preoh (k1\_funct\_1~(k8\_fomodel0~X1)~X0{\unicdcdgdad}k1\_xboole\_0){\unicdcdcdhd}((k1\_funct\_1~\\
(k8\_fomodel0~X2)~X0{\unicdcdgdad}k1\_xboole\_0){\unicdcdcdhd}(k1\_funct\_1~(k8\_fomodel0~X1)~\\
X0{\unicdcdgdad}k1\_funct\_1~(k8\_fomodel0~X2)~X0))){\unicdcdcdhd}(((v5\_relat\_1~X3~(k3\_finseq\_2~\\
k1\_xboole\_0)){\unicdbdjdcd}(k1\_funct\_1~(k8\_fomodel0~X1)~X3=k1\_xboole\_0)){\unicdcdcdhd}\\
(((k1\_funct\_1~(k8\_fomodel0~X1)~X3=k1\_xboole\_0){\unicdcdcdhd}(v5\_relat\_1~\\
X3~(k3\_finseq\_2~X1))){\unicdbdjdcd}(v5\_relat\_1~X3~(k3\_finseq\_2~k1\_xboole\_0)))))))\end{array}
\label{hyp:ehfdcdpfggpgngpgegfgmgad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X0~(k1\_zfmisc\_1~X1)){\unicdbdjded}(r1\_tarski~\\
X0~X1)\end{array}
\label{hyp:ehddpfdhfhcgdhfgeh}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{k3\_finseq\_2}~{X0}}={{k13\_finseq\_1}~{X0}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgddpfggjgogdhfgbhpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~X0)){\unicdbdjdcd}(k2\_fomodel0~\\
X0~X1=k13\_finseq\_1~X1)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflgcdpfggpgngpgegfgmgad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~X0)){\unicdbdjdcd}((\preoh v1\_xboole\_0~\\
(k2\_fomodel0~X0~X1)){\unicdcdcdhd}(m1\_subset\_1~(k2\_fomodel0~X0~X1)~(k1\_zfmisc\_1~\\
(k3\_finseq\_2~X0))))\end{array}
\label{hyp:egehpflgcdpfggpgngpgegfgmgad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
((v1\_relat\_1~X2){\unicdcdcdhd}(v5\_relat\_1~X2~X1)){\unicdbdjdcd}((v1\_relat\_1~X2){\unicdcdcdhd}(v5\_relat\_1~\\
X2~X0)))\end{array}
\label{hyp:dgdgedpfggpgngpgegfgmgad}
\end{equation}
\begin{theorem}\label{thm:ehfdddpfggpgngpgegfgmgad}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  (\preoh v1\_xboole\_0~\\
X2){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v1\_relat\_1~X3){\unicdcdcdhd}((v1\_funct\_1~X3){\unicdcdcdhd}(v1\_finseq\_1~\\
X3))){\unicdbdjdcd}(((r1\_tarski~X1~X2){\unicdcdcdhd}((r1\_tarski~X0~(k3\_finseq\_2~X1)){\unicdcdcdhd}(\\
(v5\_relat\_1~X3~X0){\unicdcdcdhd}(v1\_setfam\_1~X0)))){\unicdbdjdcd}((X3=k1\_xboole\_0){\unicdcdcdid}(\\
k1\_funct\_1~(k8\_fomodel0~X1)~X3=k1\_funct\_1~(k8\_fomodel0~X2)~X3)))))\end{array}$$
\end{theorem}
\end{document}
