\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\_chain\_1 (TMFhB8Gse9cZHUwxh2Ni1nSLmomeTGtL1gR)}
\maketitle
Let $ k1\_card\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ k2\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k5\_card\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_finset\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  \preoh (k1\_card\_1~X0=np\_\_2){\unicdcdcdhd}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  \preoh (X1{\unicdcdgdad}\\
X2){\unicdcdcdhd}(X0=k2\_tarski~X1~X2))\end{array}
\label{hyp:ehgdadpfdgbgchegpfcd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{X0}{\unicdcdgdad}{X1}})}{\unicdbdjdcd}{({{{k5\_card\_1}~{({{{k2\_tarski}~{X0}}~{X1}})}}={np\_\_2}})}}}}\label{hyp:ehfdhdpfdgbgchegpfcd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_finset\_1}~{X0}})}{\unicdbdjdcd}{({{{k5\_card\_1}~{X0}}={{k1\_card\_1}~{X0}}})}}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgfdpfdgbgchegpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{v1\_finset\_1}~{({{{k2\_tarski}~{X0}}~{X1}})}}}}\label{hyp:ggdgcdpfggjgogdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (X2=k2\_tarski~X0~X1){\unicdbdjded}({\unicdcdadad} X3 .  \\
(X3 \in X2){\unicdbdjded}((X3=X0){\unicdcdcdid}(X3=X1)))\end{array}
\label{hyp:egcdpfehbgchdhlgjg}
\end{equation}
\begin{theorem}\label{thm:ehfdpfdgigbgjgogpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (k1\_card\_1~X0=np\_\_2){\unicdbdjded}({\unicdcdaddd} X1 .  {\unicdcdaddd} X2 .  (X1 \in \\
X0){\unicdcdcdhd}((X2 \in X0){\unicdcdcdhd}((X1{\unicdcdgdad}X2){\unicdcdcdhd}({\unicdcdadad} X3 .  \preoh (X3 \in X0){\unicdcdcdhd}((X3{\unicdcdgdad}X1){\unicdcdcdhd}(X3{\unicdcdgdad}\\
X2))))))\end{array}$$
\end{theorem}
\end{document}
