\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}
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\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{t1\_e\_siec (TMHLih9Bofe3gYMADz7emhdeAoEkSXFzizu)}
\maketitle
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ g1\_e\_siec : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\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 $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_relat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ v1\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ u1\_e\_siec : {{\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 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((v1\_relat\_1~X1){\unicdcdcdhd}(v1\_relat\_1~\\
X2)){\unicdbdjdcd}({\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  (g1\_e\_siec~X0~X1~X2=g1\_e\_siec~\\
X3~X4~X5){\unicdbdjdcd}((X0=X3){\unicdcdcdhd}((X1=X4){\unicdcdcdhd}(X2=X5))))\end{array}
\label{hyp:ggchfgfgpfhgbdpffgpfdhjgfgdg}
\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}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_e\_siec~X0){\unicdbdjdcd}((v3\_e\_siec~X0){\unicdbdjded}((k3\_relat\_1~(u1\_e\_siec~\\
X0)~(k4\_xboole\_0~(u1\_e\_siec~X0)~(k4\_relat\_1~(u1\_struct\_0~X0)))=\\
k1\_xboole\_0){\unicdcdcdhd}(k3\_relat\_1~(u2\_e\_siec~X0)~(k4\_xboole\_0~(u2\_e\_siec~\\
X0)~(k4\_relat\_1~(u1\_struct\_0~X0)))=k1\_xboole\_0)))\end{array}
\label{hyp:egcdpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_e\_siec~X0){\unicdbdjdcd}((v2\_e\_siec~X0){\unicdbdjded}((r1\_tarski~(u1\_e\_siec~\\
X0)~(k2\_zfmisc\_1~(u1\_struct\_0~X0)~(u1\_struct\_0~X0))){\unicdcdcdhd}((r1\_tarski~\\
(u2\_e\_siec~X0)~(k2\_zfmisc\_1~(u1\_struct\_0~X0)~(u1\_struct\_0~X0))){\unicdcdcdhd}\\
((k3\_relat\_1~(u1\_e\_siec~X0)~(u1\_e\_siec~X0)=u1\_e\_siec~X0){\unicdcdcdhd}((k3\_relat\_1~\\
(u1\_e\_siec~X0)~(u2\_e\_siec~X0)=u1\_e\_siec~X0){\unicdcdcdhd}((k3\_relat\_1~(u2\_e\_siec~\\
X0)~(u2\_e\_siec~X0)=u2\_e\_siec~X0){\unicdcdcdhd}(k3\_relat\_1~(u2\_e\_siec~X0)~(\\
u1\_e\_siec~X0)=u2\_e\_siec~X0)))))))\end{array}
\label{hyp:egbdpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_e\_siec~X0){\unicdbdjdcd}((v1\_e\_siec~X0){\unicdbdjdcd}(X0=g1\_e\_siec~(u1\_struct\_0~\\
X0)~(u1\_e\_siec~X0)~(u2\_e\_siec~X0)))\end{array}
\label{hyp:bgcgdhehchbgdgehogfgdhdhpfghbdpffgpfdhjgfgdg}
\end{equation}
\begin{theorem}\label{thm:ehbdpffgpfdhjgfgdg}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v1\_relat\_1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  (v1\_relat\_1~\\
X2){\unicdbdjdcd}(((v2\_e\_siec~(g1\_e\_siec~X0~X1~X2)){\unicdcdcdhd}((v3\_e\_siec~(g1\_e\_siec~\\
X0~X1~X2)){\unicdcdcdhd}(l1\_e\_siec~(g1\_e\_siec~X0~X1~X2)))){\unicdbdjded}((r1\_tarski~X1~(k2\_zfmisc\_1~\\
X0~X0)){\unicdcdcdhd}((r1\_tarski~X2~(k2\_zfmisc\_1~X0~X0)){\unicdcdcdhd}((k3\_relat\_1~X1~X1=\\
X1){\unicdcdcdhd}((k3\_relat\_1~X1~X2=X1){\unicdcdcdhd}((k3\_relat\_1~X2~X2=X2){\unicdcdcdhd}((k3\_relat\_1~\\
X2~X1=X2){\unicdcdcdhd}((k3\_relat\_1~X1~(k4\_xboole\_0~X1~(k4\_relat\_1~X0))=k1\_xboole\_0){\unicdcdcdhd}\\
(k3\_relat\_1~X2~(k4\_xboole\_0~X2~(k4\_relat\_1~X0))=k1\_xboole\_0))))))))))\end{array}$$
\end{theorem}
\end{document}
