\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{t7\_borsuk\_5 (TMJQ7A5QWCxHYq8UhS4LXww8DdMNghgfXoU)}
\maketitle
Let $ r4\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}}}$ be given.
Let $ r1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k4\_enumset1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r5\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}}}}$ be given.
Let $ r1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{\preoh{{({{{r1\_xboole\_0}~{({{k1\_tarski}~{X0}})}}~{X1}})}}}{\unicdcdcdhd}{({{X0} \in {X1}})}}}}\label{hyp:ehedidpfkhggngjgdhdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{{r1\_xboole\_0}~{X0}}~{X1}})}{\unicdbdjdcd}{({{{r1\_xboole\_0}~{X1}}~{X0}})}}}}\label{hyp:dhjhngngfgehchjhpfchbdpfihcgpgpgmgfgpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(\preoh v1\_xboole\_0~X1)){\unicdbdjdcd}\\
((r1\_subset\_1~X0~X1){\unicdbdjded}(r1\_xboole\_0~X0~X1))\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpfchbdpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
\preoh v1\_xboole\_0~(k4\_enumset1~X0~X1~X2~X3~X4~X5)\end{array}
\label{hyp:ggdgfdpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {\preoh{{{v1\_xboole\_0}~{({{k1\_tarski}~{X0}})}}}}}\label{hyp:ggdgcdpfihcgpgpgmgfgpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
{\unicdcdadad} X6 .  (r5\_zfmisc\_1~X0~X1~X2~X3~X4~X5~X6){\unicdbdjded}((X0{\unicdcdgdad}X1){\unicdcdcdhd}((X0{\unicdcdgdad}X2){\unicdcdcdhd}\\
((X0{\unicdcdgdad}X3){\unicdcdcdhd}((X0{\unicdcdgdad}X4){\unicdcdcdhd}((X0{\unicdcdgdad}X5){\unicdcdcdhd}((X0{\unicdcdgdad}X6){\unicdcdcdhd}((X1{\unicdcdgdad}X2){\unicdcdcdhd}((X1{\unicdcdgdad}X3){\unicdcdcdhd}(\\
(X1{\unicdcdgdad}X4){\unicdcdcdhd}((X1{\unicdcdgdad}X5){\unicdcdcdhd}((X1{\unicdcdgdad}X6){\unicdcdcdhd}((X2{\unicdcdgdad}X3){\unicdcdcdhd}((X2{\unicdcdgdad}X4){\unicdcdcdhd}((X2{\unicdcdgdad}X5){\unicdcdcdhd}((\\
X2{\unicdcdgdad}X6){\unicdcdcdhd}((X3{\unicdcdgdad}X4){\unicdcdcdhd}((X3{\unicdcdgdad}X5){\unicdcdcdhd}((X3{\unicdcdgdad}X6){\unicdcdcdhd}((X4{\unicdcdgdad}X5){\unicdcdcdhd}((X4{\unicdcdgdad}X6){\unicdcdcdhd}(X5{\unicdcdgdad}\\
X6)))))))))))))))))))))\end{array}
\label{hyp:egjdpfkhggngjgdhdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
(r4\_zfmisc\_1~X0~X1~X2~X3~X4~X5){\unicdbdjded}((X0{\unicdcdgdad}X1){\unicdcdcdhd}((X0{\unicdcdgdad}X2){\unicdcdcdhd}((X0{\unicdcdgdad}X3){\unicdcdcdhd}((\\
X0{\unicdcdgdad}X4){\unicdcdcdhd}((X0{\unicdcdgdad}X5){\unicdcdcdhd}((X1{\unicdcdgdad}X2){\unicdcdcdhd}((X1{\unicdcdgdad}X3){\unicdcdcdhd}((X1{\unicdcdgdad}X4){\unicdcdcdhd}((X1{\unicdcdgdad}X5){\unicdcdcdhd}((X2{\unicdcdgdad}\\
X3){\unicdcdcdhd}((X2{\unicdcdgdad}X4){\unicdcdcdhd}((X2{\unicdcdgdad}X5){\unicdcdcdhd}((X3{\unicdcdgdad}X4){\unicdcdcdhd}((X3{\unicdcdgdad}X5){\unicdcdcdhd}(X4{\unicdcdgdad}X5)))))))))))))))\end{array}
\label{hyp:egidpfkhggngjgdhdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
{\unicdcdadad} X6 .  (X6=k4\_enumset1~X0~X1~X2~X3~X4~X5){\unicdbdjded}({\unicdcdadad} X7 .  (X7 \in X6){\unicdbdjded}\\
(\preoh (X7{\unicdcdgdad}X0){\unicdcdcdhd}((X7{\unicdcdgdad}X1){\unicdcdcdhd}((X7{\unicdcdgdad}X2){\unicdcdcdhd}((X7{\unicdcdgdad}X3){\unicdcdcdhd}((X7{\unicdcdgdad}X4){\unicdcdcdhd}(X7{\unicdcdgdad}X5)))))))\end{array}
\label{hyp:egedpffgogfhngdhfgehbd}
\end{equation}
\begin{theorem}\label{thm:ehhdpfcgpgchdhfhlgpffd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
{\unicdcdadad} X6 .  ((r4\_zfmisc\_1~X0~X1~X2~X3~X4~X5){\unicdcdcdhd}(r1\_subset\_1~(k4\_enumset1~\\
X0~X1~X2~X3~X4~X5)~(k1\_tarski~X6))){\unicdbdjdcd}(r5\_zfmisc\_1~X0~X1~X2~X3~X4~X5~X6)\end{array}$$
\end{theorem}
\end{document}
