\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}
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\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{t33\_borsuk\_7 (TMX9rkK7rXa7ZWqzY1W84x5ypcuUzX2BrAf)}
\maketitle
Let $ v1\_xcmplx\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k1\_borsuk\_7 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}}$ be given.
Let $ k4\_card\_3 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (v1\_xcmplx\_0~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
{\unicdcdadad} X4 .  {\unicdcdadad} X5 .  {\unicdcdadad} X6 .  {\unicdcdadad} X7 .  {\unicdcdadad} X8 .  ((r1\_tarski~\\
X3~X4){\unicdcdcdhd}((r1\_tarski~X5~X6){\unicdcdcdhd}(r1\_tarski~X7~X8))){\unicdbdjdcd}(r1\_tarski~(k4\_card\_3~\\
(k1\_borsuk\_7~X0~X1~X2~X3~X5~X7))~(k4\_card\_3~(k1\_borsuk\_7~X0~X1~X2~X4~\\
X6~X8))))\end{array}
\label{hyp:ehddcdpfcgpgchdhfhlgpfhd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{{r1\_tarski}~{({{k1\_tarski}~{X0}})}}~{X1}})}{\unicdbdjded}{({{X0} \in {X1}})}}}}\label{hyp:ehddbdpfkhggngjgdhdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
(v1\_xcmplx\_0~X5){\unicdbdjdcd}((r1\_zfmisc\_1~X0~X1~X5){\unicdbdjdcd}(k4\_card\_3~(k1\_borsuk\_7~\\
X0~X1~X5~(k1\_tarski~X2)~(k1\_tarski~X3)~(k1\_tarski~X4))=k1\_tarski~\\
(k1\_borsuk\_7~X0~X1~X5~X2~X3~X4)))\end{array}
\label{hyp:ehddbdpfcgpgchdhfhlgpfhd}
\end{equation}
\begin{theorem}\label{thm:ehddddpfcgpgchdhfhlgpfhd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
{\unicdcdadad} X6 .  {\unicdcdadad} X7 .  {\unicdcdadad} X8 .  (v1\_xcmplx\_0~X8){\unicdbdjdcd}(((r1\_zfmisc\_1~\\
X0~X1~X8){\unicdcdcdhd}((X2 \in X3){\unicdcdcdhd}((X4 \in X5){\unicdcdcdhd}(X6 \in X7)))){\unicdbdjdcd}(k1\_borsuk\_7~X0~X1~X8~\\
X2~X4~X6 \in k4\_card\_3~(k1\_borsuk\_7~X0~X1~X8~X3~X5~X7)))\end{array}$$
\end{theorem}
\end{document}
