\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}
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\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t14\_ff\_siec (TMK6wmZ3dFEL8JwBCcivwQVcFEUBniuVyUb)}
\maketitle
Let $ v1\_net\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_petri : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k4\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k5\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_relat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_net\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u4\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_relat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_net\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{{r1\_xboole\_0}~{X0}}~{X1}})}{\unicdbdjded}{({{{{k4\_xboole\_0}~{X0}}~{X1}}={X0}})}}}}\label{hyp:ehidddpfihcgpgpgmgfgpfbd}
\end{equation}
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}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  k4\_xboole\_0~(k2\_xboole\_0~X0~\\
X1)~X2=k2\_xboole\_0~(k4\_xboole\_0~X0~X2)~(k4\_xboole\_0~X1~X2)\end{array}
\label{hyp:ehedcdpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (k4\_xboole\_0~X0~X1=k1\_xboole\_0){\unicdbdjded}(r1\_tarski~\\
X0~X1)\end{array}
\label{hyp:ehddhdpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{{k2\_xboole\_0}~{X0}}~{k1\_xboole\_0}}={X0}}}\label{hyp:ehbdpfcgpgpgmgfg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (r1\_tarski~X0~X1){\unicdbdjdcd}(r1\_tarski~(k4\_relat\_1~\\
X0)~(k4\_relat\_1~X1))\end{array}
\label{hyp:ehbdfdpfdhjhdhchfgmg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_net\_1~X0){\unicdcdcdhd}(l1\_petri~X0)){\unicdbdjdcd}((r1\_xboole\_0~(k5\_relat\_1~\\
(k2\_relat\_1~(k1\_net\_1~X0))~(u4\_struct\_0~X0))~(k4\_relat\_1~(k2\_net\_1~\\
X0))){\unicdcdcdhd}((r1\_xboole\_0~(k5\_relat\_1~(k1\_net\_1~X0)~(u4\_struct\_0~X0))~\\
(k4\_relat\_1~(k2\_net\_1~X0))){\unicdcdcdhd}((r1\_xboole\_0~(k5\_relat\_1~(k2\_relat\_1~\\
(k1\_net\_1~X0))~(u1\_struct\_0~X0))~(k4\_relat\_1~(k2\_net\_1~X0))){\unicdcdcdhd}\\
(r1\_xboole\_0~(k5\_relat\_1~(k1\_net\_1~X0)~(u1\_struct\_0~X0))~(k4\_relat\_1~\\
(k2\_net\_1~X0))))))\end{array}
\label{hyp:ehbdddpfggggpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_petri~X0){\unicdbdjdcd}(k2\_net\_1~X0=k2\_xboole\_0~(u1\_struct\_0~\\
X0)~(u4\_struct\_0~X0))\end{array}
\label{hyp:egddpfogfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{{k2\_xboole\_0}~{X0}}~{X1}}={{{k2\_xboole\_0}~{X1}}~{X0}}}}}\label{hyp:dgpgngngfhehbgehjgghjgehjhpflgcdpfihcgpgpgmgfgpfad}
\end{equation}
\begin{theorem}\label{thm:ehbdedpfggggpfdhjgfgdg}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_net\_1~X0){\unicdcdcdhd}(l1\_petri~X0)){\unicdbdjdcd}((k4\_xboole\_0~(k2\_xboole\_0~\\
(k5\_relat\_1~(k2\_relat\_1~(k1\_net\_1~X0))~(u4\_struct\_0~X0))~(k4\_relat\_1~\\
(u1\_struct\_0~X0)))~(k4\_relat\_1~(k2\_net\_1~X0))=k5\_relat\_1~(k2\_relat\_1~\\
(k1\_net\_1~X0))~(u4\_struct\_0~X0)){\unicdcdcdhd}((k4\_xboole\_0~(k2\_xboole\_0~\\
(k5\_relat\_1~(k1\_net\_1~X0)~(u4\_struct\_0~X0))~(k4\_relat\_1~(u1\_struct\_0~\\
X0)))~(k4\_relat\_1~(k2\_net\_1~X0))=k5\_relat\_1~(k1\_net\_1~X0)~(u4\_struct\_0~\\
X0)){\unicdcdcdhd}((k4\_xboole\_0~(k2\_xboole\_0~(k5\_relat\_1~(k2\_relat\_1~(k1\_net\_1~\\
X0))~(u1\_struct\_0~X0))~(k4\_relat\_1~(u1\_struct\_0~X0)))~(k4\_relat\_1~\\
(k2\_net\_1~X0))=k5\_relat\_1~(k2\_relat\_1~(k1\_net\_1~X0))~(u1\_struct\_0~\\
X0)){\unicdcdcdhd}((k4\_xboole\_0~(k2\_xboole\_0~(k5\_relat\_1~(k1\_net\_1~X0)~(u1\_struct\_0~\\
X0))~(k4\_relat\_1~(u1\_struct\_0~X0)))~(k4\_relat\_1~(k2\_net\_1~X0))=\\
k5\_relat\_1~(k1\_net\_1~X0)~(u1\_struct\_0~X0)){\unicdcdcdhd}((k4\_xboole\_0~(k2\_xboole\_0~\\
(k5\_relat\_1~(k2\_relat\_1~(k1\_net\_1~X0))~(u1\_struct\_0~X0))~(k4\_relat\_1~\\
(u4\_struct\_0~X0)))~(k4\_relat\_1~(k2\_net\_1~X0))=k5\_relat\_1~(k2\_relat\_1~\\
(k1\_net\_1~X0))~(u1\_struct\_0~X0)){\unicdcdcdhd}((k4\_xboole\_0~(k2\_xboole\_0~\\
(k5\_relat\_1~(k1\_net\_1~X0)~(u1\_struct\_0~X0))~(k4\_relat\_1~(u4\_struct\_0~\\
X0)))~(k4\_relat\_1~(k2\_net\_1~X0))=k5\_relat\_1~(k1\_net\_1~X0)~(u1\_struct\_0~\\
X0)){\unicdcdcdhd}((k4\_xboole\_0~(k2\_xboole\_0~(k5\_relat\_1~(k2\_relat\_1~(k1\_net\_1~\\
X0))~(u4\_struct\_0~X0))~(k4\_relat\_1~(u4\_struct\_0~X0)))~(k4\_relat\_1~\\
(k2\_net\_1~X0))=k5\_relat\_1~(k2\_relat\_1~(k1\_net\_1~X0))~(u4\_struct\_0~\\
X0)){\unicdcdcdhd}(k4\_xboole\_0~(k2\_xboole\_0~(k5\_relat\_1~(k1\_net\_1~X0)~(u4\_struct\_0~\\
X0))~(k4\_relat\_1~(u4\_struct\_0~X0)))~(k4\_relat\_1~(k2\_net\_1~X0))=\\
k5\_relat\_1~(k1\_net\_1~X0)~(u4\_struct\_0~X0)))))))))\end{array}$$
\end{theorem}
\end{document}
