\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{t8\_e\_siec (TMVAapmCVW5BDjbzf9z36HkUKP32AbgXuR1)}
\maketitle
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_e\_siec : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_e\_siec : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_relat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u2\_e\_siec : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_e\_siec : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ g1\_e\_siec : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (u1\_struct\_0~(k2\_e\_siec~X0)=X0){\unicdcdcdhd}((u1\_e\_siec~(k2\_e\_siec~\\
X0)=k4\_relat\_1~X0){\unicdcdcdhd}(u2\_e\_siec~(k2\_e\_siec~X0)=k4\_relat\_1~X0))\end{array}
\label{hyp:ehgdpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  k4\_e\_siec~X0=g1\_e\_siec~(k1\_tarski~X0)~(k4\_relat\_1~\\
(k1\_tarski~X0))~(k4\_relat\_1~(k1\_tarski~X0))\end{array}
\label{hyp:eggdpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{k2\_e\_siec}~{X0}}={{{{g1\_e\_siec}~{X0}}~{({{k4\_relat\_1}~{X0}})}}~{({{k4\_relat\_1}~{X0}})}}}}\label{hyp:egedpffgpfdhjgfgdg}
\end{equation}
\begin{theorem}\label{thm:ehidpffgpfdhjgfgdg}
$$\begin{array}{c}{\unicdcdadad} X0 .  (u1\_struct\_0~(k4\_e\_siec~X0)=k1\_tarski~X0){\unicdcdcdhd}((u1\_e\_siec~\\
(k4\_e\_siec~X0)=k4\_relat\_1~(k1\_tarski~X0)){\unicdcdcdhd}(u2\_e\_siec~(k4\_e\_siec~\\
X0)=k4\_relat\_1~(k1\_tarski~X0)))\end{array}$$
\end{theorem}
\end{document}
