\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{t112\_zfmisc\_1 (TMXWYAEoyjQXvvoovPWQCx5jVh3XdsW69wZ)}
\maketitle
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r2\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdaddd} X1 .  (X0 \in X1){\unicdcdcdhd}(({\unicdcdadad} X2 .  {\unicdcdadad} X3 .  ((X2 \in \\
X1){\unicdcdcdhd}(r1\_tarski~X3~X2)){\unicdbdjdcd}(X3 \in X1)){\unicdcdcdhd}(({\unicdcdadad} X2 .  \preoh (X2 \in X1){\unicdcdcdhd}({\unicdcdadad} X3 .  \\
\preoh (X3 \in X1){\unicdcdcdhd}({\unicdcdadad} X4 .  (r1\_tarski~X4~X2){\unicdbdjdcd}(X4 \in X3)))){\unicdcdcdhd}({\unicdcdadad} X2 .  \\
\preoh (r1\_tarski~X2~X1){\unicdcdcdhd}((\preoh r2\_tarski~X2~X1){\unicdcdcdhd}(\preoh X2 \in X1)))))\end{array}
\label{hyp:ehddpfehbgchdhlgjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (r1\_tarski~X0~X1){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X0){\unicdbdjdcd}\\
(X2 \in X1))\end{array}
\label{hyp:egddpfehbgchdhlgjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (X1=k1\_zfmisc\_1~X0){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X1){\unicdbdjded}\\
(r1\_tarski~X2~X0))\end{array}
\label{hyp:egbdpfkhggngjgdhdgpfbd}
\end{equation}
\begin{theorem}\label{thm:ehbdbdcdpfkhggngjgdhdgpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdaddd} X1 .  (X0 \in X1){\unicdcdcdhd}(({\unicdcdadad} X2 .  {\unicdcdadad} X3 .  ((X2 \in \\
X1){\unicdcdcdhd}(r1\_tarski~X3~X2)){\unicdbdjdcd}(X3 \in X1)){\unicdcdcdhd}(({\unicdcdadad} X2 .  (X2 \in X1){\unicdbdjdcd}(k1\_zfmisc\_1~\\
X2 \in X1)){\unicdcdcdhd}({\unicdcdadad} X2 .  \preoh (r1\_tarski~X2~X1){\unicdcdcdhd}((\preoh r2\_tarski~X2~X1){\unicdcdcdhd}(\\
\preoh X2 \in X1)))))\end{array}$$
\end{theorem}
\end{document}
