\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{t11\_waybel16 (TMdXx9RcrXVh6fasUtAiA2sEKBXLRb9c4cJ)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k9\_setfam\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v2\_waybel\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_yellow\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v13\_waybel\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v13\_waybel\_0~X1~(k3\_yellow\_1~X0)){\unicdcdcdhd}(m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(u1\_struct\_0~(k3\_yellow\_1~X0))))){\unicdbdjdcd}((v2\_waybel\_0~\\
X1~(k3\_yellow\_1~X0)){\unicdbdjded}({\unicdcdadad} X2 .  {\unicdcdadad} X3 .  ((X2 \in X1){\unicdcdcdhd}(X3 \in X1)){\unicdbdjdcd}\\
(k3\_xboole\_0~X2~X3 \in X1)))\end{array}
\label{hyp:ehjdpfhhbgjhcgfgmgpfhd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~\\
(k3\_yellow\_1~X0)))){\unicdbdjdcd}((v13\_waybel\_0~X1~(k3\_yellow\_1~X0)){\unicdbdjded}({\unicdcdadad} X2 .  \\
{\unicdcdadad} X3 .  ((r1\_tarski~X2~X3){\unicdcdcdhd}((r1\_tarski~X3~X0){\unicdcdcdhd}(X2 \in X1))){\unicdbdjdcd}(\\
X3 \in X1)))\end{array}
\label{hyp:ehhdpfhhbgjhcgfgmgpfhd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{u1\_struct\_0}~{({{k3\_yellow\_1}~{X0}})}}={{k9\_setfam\_1}~{X0}}}}\label{hyp:ehcdpfhhbgjhcgfgmgpfhd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{X0} \in {X1}})}{\unicdbdjdcd}{({{{m1\_subset\_1}~{X0}}~{X1}})}}}}\label{hyp:ehbdpfdhfhcgdhfgeh}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{k9\_setfam\_1}~{X0}}={{k1\_zfmisc\_1}~{X0}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgjdpfdhfgehggbgngpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~(k3\_yellow\_1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(u1\_struct\_0~(k3\_yellow\_1~\\
X0))){\unicdbdjdcd}((k3\_xboole\_0~X1~X2 \in k9\_setfam\_1~X0){\unicdcdcdhd}(k2\_xboole\_0~X1~X2 \in \\
k9\_setfam\_1~X0)))\end{array}
\label{hyp:mgbdjdpfjhfgmgmgpghhpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {\preoh{{{v1\_xboole\_0}~{({{k1\_zfmisc\_1}~{X0}})}}}}}\label{hyp:ggdgbdpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  m1\_subset\_1~(k9\_setfam\_1~X0)~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0))\end{array}
\label{hyp:egehpflgjdpfdhfgehggbgngpfbd}
\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:ehbdbdpfhhbgjhcgfgmgbdgd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~(k9\_setfam\_1~X0)){\unicdcdcdhd}((v2\_waybel\_0~(k9\_setfam\_1~\\
X0)~(k3\_yellow\_1~X0)){\unicdcdcdhd}((v13\_waybel\_0~(k9\_setfam\_1~X0)~(k3\_yellow\_1~\\
X0)){\unicdcdcdhd}(m1\_subset\_1~(k9\_setfam\_1~X0)~(k1\_zfmisc\_1~(u1\_struct\_0~\\
(k3\_yellow\_1~X0))))))\end{array}$$
\end{theorem}
\end{document}
