\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{t10\_e\_siec (TMMuniFaF9rCAkbRojdWLSERiozsvFLJdC7)}
\maketitle
Let $ v2\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ g1\_e\_siec : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_relat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ k4\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{r1\_tarski}~{X0}}~{({{{k2\_xboole\_0}~{X0}}~{X1}})}}}}\label{hyp:ehhdpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_xboole\_0}~{X0}})}{\unicdbdjdcd}{({{X0}={k1\_xboole\_0}})}}}\label{hyp:ehgdpfcgpgpgmgfg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  k4\_xboole\_0~X0~(k2\_xboole\_0~X0~X1)=k1\_xboole\_0\end{array}
\label{hyp:ehedgdpfihcgpgpgmgfgpfbd}
\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 .  (v1\_relat\_1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  (v1\_relat\_1~\\
X2){\unicdbdjdcd}(((v2\_e\_siec~(g1\_e\_siec~X0~X1~X2)){\unicdcdcdhd}((v3\_e\_siec~(g1\_e\_siec~\\
X0~X1~X2)){\unicdcdcdhd}(l1\_e\_siec~(g1\_e\_siec~X0~X1~X2)))){\unicdbdjded}((r1\_tarski~X1~(k2\_zfmisc\_1~\\
X0~X0)){\unicdcdcdhd}((r1\_tarski~X2~(k2\_zfmisc\_1~X0~X0)){\unicdcdcdhd}((k3\_relat\_1~X1~X1=\\
X1){\unicdcdcdhd}((k3\_relat\_1~X1~X2=X1){\unicdcdcdhd}((k3\_relat\_1~X2~X2=X2){\unicdcdcdhd}((k3\_relat\_1~\\
X2~X1=X2){\unicdcdcdhd}((k3\_relat\_1~X1~(k4\_xboole\_0~X1~(k4\_relat\_1~X0))=k1\_xboole\_0){\unicdcdcdhd}\\
(k3\_relat\_1~X2~(k4\_xboole\_0~X2~(k4\_relat\_1~X0))=k1\_xboole\_0))))))))))\end{array}
\label{hyp:ehbdpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (k4\_relat\_1~(k2\_xboole\_0~X0~X1)=k2\_xboole\_0~\\
(k4\_relat\_1~X0)~(k4\_relat\_1~X1)){\unicdcdcdhd}((k4\_relat\_1~(k3\_xboole\_0~X0~\\
X1)=k3\_xboole\_0~(k4\_relat\_1~X0)~(k4\_relat\_1~X1)){\unicdcdcdhd}(k4\_relat\_1~\\
(k6\_subset\_1~X0~X1)=k6\_subset\_1~(k4\_relat\_1~X0)~(k4\_relat\_1~X1)))\end{array}
\label{hyp:ehbdedpfdhjhdhchfgmg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{{k3\_relat\_1}~{({{k4\_relat\_1}~{X0}})}}~{({{k4\_relat\_1}~{X0}})}}={{k4\_relat\_1}~{X0}}}}\label{hyp:ehbdcdpfdhjhdhchfgmg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{r1\_tarski}~{({{k4\_relat\_1}~{X0}})}}~{({{{k2\_zfmisc\_1}~{X0}}~{X0}})}}}\label{hyp:mgbdddpfdhjhdhchfgmg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_relat\_1}~{({{k4\_relat\_1}~{X0}})}})}{\unicdcdcdhd}{({{v1\_funct\_1}~{({{k4\_relat\_1}~{X0}})}})}}}\label{hyp:ggdgddpfggfhogdgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{v1\_xboole\_0}~{k1\_xboole\_0}}\label{hyp:ggdgbdpfihcgpgpgmgfgpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_relat\_1~X1)){\unicdbdjdcd}((\\
v1\_xboole\_0~(k3\_relat\_1~X1~X0)){\unicdcdcdhd}(v1\_relat\_1~(k3\_relat\_1~X1~X0)))\end{array}
\label{hyp:ggdgbdddpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((v1\_relat\_1~X1){\unicdcdcdhd}(v1\_relat\_1~\\
X2)){\unicdbdjdcd}((v1\_e\_siec~(g1\_e\_siec~X0~X1~X2)){\unicdcdcdhd}(l1\_e\_siec~(g1\_e\_siec~\\
X0~X1~X2)))\end{array}
\label{hyp:egehpfhgbdpffgpfdhjgfgdg}
\end{equation}
\begin{theorem}\label{thm:ehbdadpffgpfdhjgfgdg}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v2\_e\_siec~(g1\_e\_siec~(k2\_xboole\_0~X0~X1)~\\
(k4\_relat\_1~X0)~(k4\_relat\_1~X0))){\unicdcdcdhd}((v3\_e\_siec~(g1\_e\_siec~(k2\_xboole\_0~\\
X0~X1)~(k4\_relat\_1~X0)~(k4\_relat\_1~X0))){\unicdcdcdhd}(l1\_e\_siec~(g1\_e\_siec~\\
(k2\_xboole\_0~X0~X1)~(k4\_relat\_1~X0)~(k4\_relat\_1~X0))))\end{array}$$
\end{theorem}
\end{document}
