\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{t3\_zfmisc\_1 (TMcSYgbqSYsiRtji2ge2r3d372eKyepcM5P)}
\maketitle
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_enumset1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}}}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{{{{{{{{k6\_enumset1}~{X0}}~{X0}}~{X0}}~{X0}}~{X0}}~{X0}}~{X0}}~{X0}}={{k1\_tarski}~{X0}}}}\label{hyp:ehfdgdpffgogfhngdhfgehbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{{r1\_tarski}~{({{k1\_tarski}~{X0}})}}~{X1}})}{\unicdbdjded}{({{X0} \in {X1}})}}}}\label{hyp:mgbdpfkhggngjgdhdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
{\unicdcdadad} X6 .  {\unicdcdadad} X7 .  {\unicdcdadad} X8 .  (X8=k6\_enumset1~X0~X1~X2~X3~X4~\\
X5~X6~X7){\unicdbdjded}({\unicdcdadad} X9 .  (X9 \in X8){\unicdbdjded}(\preoh (X9{\unicdcdgdad}X0){\unicdcdcdhd}((X9{\unicdcdgdad}X1){\unicdcdcdhd}((X9{\unicdcdgdad}X2){\unicdcdcdhd}\\
((X9{\unicdcdgdad}X3){\unicdcdcdhd}((X9{\unicdcdgdad}X4){\unicdcdcdhd}((X9{\unicdcdgdad}X5){\unicdcdcdhd}((X9{\unicdcdgdad}X6){\unicdcdcdhd}(X9{\unicdcdgdad}X7)))))))))\end{array}
\label{hyp:eggdpffgogfhngdhfgehbd}
\end{equation}
\begin{theorem}\label{thm:ehddpfkhggngjgdhdgpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (r1\_tarski~(k1\_tarski~X0)~(k1\_tarski~X1)){\unicdbdjdcd}\\
(X0=X1)\end{array}$$
\end{theorem}
\end{document}
