\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}
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\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\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t1\_modelc\_1 (TMPLg5KhDvLXcw5sXQnK4zjMdihvJQc7sik)}
\maketitle
Let $ v1\_modelc\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ k12\_modelc\_1 : {\iota}$ be given.
Let $ k4\_ordinal1 : {\iota}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k6\_modelc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k7\_modelc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k8\_modelc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k9\_modelc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k10\_modelc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k11\_modelc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
{{k5\_numbers}={k4\_ordinal1}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgfdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
{\preoh{{{v1\_xboole\_0}~{k12\_modelc\_1}}}}\label{hyp:egehpflgbdcdpfngpgegfgmgdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X0){\unicdbdjdcd}((m1\_subset\_1~X1~X0){\unicdbdjded}\\
(X1 \in X0))){\unicdcdcdhd}((v1\_xboole\_0~X0){\unicdbdjdcd}((m1\_subset\_1~X1~X0){\unicdbdjded}(v1\_xboole\_0~\\
X1)))\end{array}
\label{hyp:egbdpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_1~X0~k5\_numbers){\unicdbdjdcd}((v1\_modelc\_1~X0){\unicdbdjded}(m1\_subset\_1~\\
X0~k12\_modelc\_1))\end{array}
\label{hyp:egbdddpfngpgegfgmgdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}((X0=k12\_modelc\_1){\unicdbdjded}(({\unicdcdadad} X1 .  \\
(X1 \in X0){\unicdbdjdcd}(m2\_finseq\_1~X1~k5\_numbers)){\unicdcdcdhd}(({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~k5\_numbers){\unicdbdjdcd}(k6\_modelc\_1~X1 \in X0)){\unicdcdcdhd}(({\unicdcdadad} X1 .  (m2\_finseq\_1~\\
X1~k5\_numbers){\unicdbdjdcd}((X1 \in X0){\unicdbdjdcd}(k7\_modelc\_1~X1 \in X0))){\unicdcdcdhd}(({\unicdcdadad} X1 .  \\
(m2\_finseq\_1~X1~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X2 .  (m2\_finseq\_1~X2~k5\_numbers){\unicdbdjdcd}\\
(((X1 \in X0){\unicdcdcdhd}(X2 \in X0)){\unicdbdjdcd}(k8\_modelc\_1~X1~X2 \in X0)))){\unicdcdcdhd}(({\unicdcdadad} X1 .  \\
(m2\_finseq\_1~X1~k5\_numbers){\unicdbdjdcd}((X1 \in X0){\unicdbdjdcd}(k9\_modelc\_1~X1 \in X0))){\unicdcdcdhd}\\
(({\unicdcdadad} X1 .  (m2\_finseq\_1~X1~k5\_numbers){\unicdbdjdcd}((X1 \in X0){\unicdbdjdcd}(k10\_modelc\_1~\\
X1 \in X0))){\unicdcdcdhd}(({\unicdcdadad} X1 .  (m2\_finseq\_1~X1~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(m2\_finseq\_1~X2~k5\_numbers){\unicdbdjdcd}(((X1 \in X0){\unicdcdcdhd}(X2 \in X0)){\unicdbdjdcd}(k11\_modelc\_1~\\
X1~X2 \in X0)))){\unicdcdcdhd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}((({\unicdcdadad} X2 .  (X2 \in \\
X1){\unicdbdjdcd}(m2\_finseq\_1~X2~k5\_numbers)){\unicdcdcdhd}(({\unicdcdadad} X2 .  (m1\_subset\_1~\\
X2~k5\_numbers){\unicdbdjdcd}(k6\_modelc\_1~X2 \in X1)){\unicdcdcdhd}(({\unicdcdadad} X2 .  (m2\_finseq\_1~\\
X2~k5\_numbers){\unicdbdjdcd}((X2 \in X1){\unicdbdjdcd}(k7\_modelc\_1~X2 \in X1))){\unicdcdcdhd}(({\unicdcdadad} X2 .  \\
(m2\_finseq\_1~X2~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X3 .  (m2\_finseq\_1~X3~k5\_numbers){\unicdbdjdcd}\\
(((X2 \in X1){\unicdcdcdhd}(X3 \in X1)){\unicdbdjdcd}(k8\_modelc\_1~X2~X3 \in X1)))){\unicdcdcdhd}(({\unicdcdadad} X2 .  \\
(m2\_finseq\_1~X2~k5\_numbers){\unicdbdjdcd}((X2 \in X1){\unicdbdjdcd}(k9\_modelc\_1~X2 \in X1))){\unicdcdcdhd}\\
(({\unicdcdadad} X2 .  (m2\_finseq\_1~X2~k5\_numbers){\unicdbdjdcd}((X2 \in X1){\unicdbdjdcd}(k10\_modelc\_1~\\
X2 \in X1))){\unicdcdcdhd}({\unicdcdadad} X2 .  (m2\_finseq\_1~X2~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
(m2\_finseq\_1~X3~k5\_numbers){\unicdbdjdcd}(((X2 \in X1){\unicdcdcdhd}(X3 \in X1)){\unicdbdjdcd}(k11\_modelc\_1~\\
X2~X3 \in X1)))))))))){\unicdbdjdcd}(r1\_tarski~X0~X1)))))))))))\end{array}
\label{hyp:egbdcdpfngpgegfgmgdgpfbd}
\end{equation}
\begin{theorem}\label{thm:ehbdpfngpgegfgmgdgpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_modelc\_1~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k5\_numbers)){\unicdbdjded}(\\
X0 \in k12\_modelc\_1)\end{array}$$
\end{theorem}
\end{document}
