\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{t35\_cgames\_1 (TMXw6tsQAP2ftitG7S7VPc3Hm1AGedwN79k)}
\maketitle
Let $ v2\_cgames\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k11\_cgames\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k10\_cgames\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k8\_cgames\_1 : {{\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.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v2\_cgames\_1~X0){\unicdbdjdcd}(r1\_tarski~(k8\_cgames\_1~X0)~(k11\_cgames\_1~\\
X0))\end{array}
\label{hyp:ehddddpfdghgbgngfgdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v2\_cgames\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v2\_cgames\_1~X1){\unicdbdjdcd}((\\
X0 \in k10\_cgames\_1~X1){\unicdbdjdcd}(r1\_tarski~(k11\_cgames\_1~X0)~(k11\_cgames\_1~\\
X1))))\end{array}
\label{hyp:ehddcdpfdghgbgngfgdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v2\_cgames\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((X0 \in X1){\unicdcdcdhd}({\unicdcdadad} X2 .  \\
(v2\_cgames\_1~X2){\unicdbdjdcd}((X2 \in X1){\unicdbdjdcd}(r1\_tarski~(k8\_cgames\_1~X2)~X1)))){\unicdbdjdcd}\\
(r1\_tarski~(k10\_cgames\_1~X0)~X1))\end{array}
\label{hyp:ehddadpfdghgbgngfgdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((r1\_tarski~X0~X1){\unicdcdcdhd}(r1\_tarski~\\
X1~X2)){\unicdbdjdcd}(r1\_tarski~X0~X2)\end{array}
\label{hyp:ehbdpfihcgpgpgmgfgpfbd}
\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 .  \\
(X2 \in X1){\unicdbdjdcd}(X2 \in X0))\end{array}
\label{hyp:mgcdpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v2\_cgames\_1~X0){\unicdbdjdcd}(m1\_subset\_1~(k11\_cgames\_1~X0)~(\\
k1\_zfmisc\_1~(k10\_cgames\_1~X0)))\end{array}
\label{hyp:egehpflgbdbdpfdghgbgngfgdhpfbd}
\end{equation}
\begin{theorem}\label{thm:ehddfdpfdghgbgngfgdhpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v2\_cgames\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v2\_cgames\_1~X1){\unicdbdjdcd}((\\
X0 \in k11\_cgames\_1~X1){\unicdbdjdcd}(r1\_tarski~(k10\_cgames\_1~X0)~(k11\_cgames\_1~\\
X1))))\end{array}$$
\end{theorem}
\end{document}
