\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{t20\_e\_siec (TMHsVK7VzdrMghQinw7VutbR9FuWim9yiA2)}
\maketitle
Let $ v2\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ 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 $ k10\_e\_siec : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k8\_e\_siec : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k7\_e\_siec : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k11\_e\_siec : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u1\_e\_siec : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_relat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u2\_e\_siec : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_e\_siec~X0){\unicdcdcdhd}((v3\_e\_siec~X0){\unicdcdcdhd}(l1\_e\_siec~X0))){\unicdbdjdcd}\\
((r1\_tarski~(k4\_xboole\_0~(u1\_e\_siec~X0)~(k4\_relat\_1~(u1\_struct\_0~\\
X0)))~(k2\_zfmisc\_1~(k8\_e\_siec~X0)~(k7\_e\_siec~X0))){\unicdcdcdhd}(r1\_tarski~\\
(k4\_xboole\_0~(u2\_e\_siec~X0)~(k4\_relat\_1~(u1\_struct\_0~X0)))~(k2\_zfmisc\_1~\\
(k8\_e\_siec~X0)~(k7\_e\_siec~X0))))\end{array}
\label{hyp:ehbdidpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_e\_siec~X0){\unicdcdcdhd}((v3\_e\_siec~X0){\unicdcdcdhd}(l1\_e\_siec~X0))){\unicdbdjdcd}\\
(k11\_e\_siec~X0=k4\_xboole\_0~(u2\_e\_siec~X0)~(k4\_relat\_1~(u1\_struct\_0~\\
X0)))\end{array}
\label{hyp:egbdddpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_e\_siec~X0){\unicdcdcdhd}((v3\_e\_siec~X0){\unicdcdcdhd}(l1\_e\_siec~X0))){\unicdbdjdcd}\\
(k10\_e\_siec~X0=k4\_xboole\_0~(u1\_e\_siec~X0)~(k4\_relat\_1~(u1\_struct\_0~\\
X0)))\end{array}
\label{hyp:egbdcdpffgpfdhjgfgdg}
\end{equation}
\begin{theorem}\label{thm:ehcdadpffgpfdhjgfgdg}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_e\_siec~X0){\unicdcdcdhd}((v3\_e\_siec~X0){\unicdcdcdhd}(l1\_e\_siec~X0))){\unicdbdjdcd}\\
((r1\_tarski~(k10\_e\_siec~X0)~(k2\_zfmisc\_1~(k8\_e\_siec~X0)~(k7\_e\_siec~\\
X0))){\unicdcdcdhd}(r1\_tarski~(k11\_e\_siec~X0)~(k2\_zfmisc\_1~(k8\_e\_siec~X0)~\\
(k7\_e\_siec~X0))))\end{array}$$
\end{theorem}
\end{document}
