\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{t16\_ff\_siec (TMMH6aJcrUPJDvZdKZtwdfcgZTH98hKrboR)}
\maketitle
Let $ v1\_net\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_petri : {{\iota}{\unicdbdjdcd}{o}}$ 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 $ k1\_net\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u4\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_relat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_relat\_1 : {{\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 $ k2\_net\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  (v1\_relat\_1~\\
X4){\unicdbdjdcd}(((r1\_tarski~X4~(k2\_zfmisc\_1~X0~X1)){\unicdcdcdhd}(X0=k2\_xboole\_0~X2~X3)){\unicdbdjdcd}\\
(X4=k2\_xboole\_0~(k5\_relat\_1~X4~X2)~(k5\_relat\_1~X4~X3)))\end{array}
\label{hyp:ehjdpfdhjhdhchfgmg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_net\_1~X0){\unicdcdcdhd}(l1\_petri~X0)){\unicdbdjdcd}((r1\_tarski~(k1\_net\_1~\\
X0)~(k2\_zfmisc\_1~(k2\_net\_1~X0)~(k2\_net\_1~X0))){\unicdcdcdhd}(r1\_tarski~(k2\_relat\_1~\\
(k1\_net\_1~X0))~(k2\_zfmisc\_1~(k2\_net\_1~X0)~(k2\_net\_1~X0))))\end{array}
\label{hyp:ehidpfggggpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_relat\_1~X1){\unicdbdjdcd}(k2\_relat\_1~\\
(k2\_xboole\_0~X0~X1)=k2\_xboole\_0~(k2\_relat\_1~X0)~(k2\_relat\_1~X1)))\end{array}
\label{hyp:ehcdddpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{l1\_petri}~{X0}})}{\unicdbdjdcd}{({{v1\_relat\_1}~{({{k1\_net\_1}~{X0}})}})}}}\label{hyp:ggdgbdpfogfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v1\_relat\_1~X0){\unicdbdjdcd}(v1\_relat\_1~(k5\_relat\_1~\\
X0~X1))\end{array}
\label{hyp:egehpflgfdpfchfgmgbgehpfbd}
\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:ehbdgdpfggggpfdhjgfgdg}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_net\_1~X0){\unicdcdcdhd}(l1\_petri~X0)){\unicdbdjdcd}((k2\_xboole\_0~(k5\_relat\_1~\\
(k1\_net\_1~X0)~(u1\_struct\_0~X0))~(k5\_relat\_1~(k1\_net\_1~X0)~(u4\_struct\_0~\\
X0))=k1\_net\_1~X0){\unicdcdcdhd}((k2\_xboole\_0~(k5\_relat\_1~(k1\_net\_1~X0)~(u4\_struct\_0~\\
X0))~(k5\_relat\_1~(k1\_net\_1~X0)~(u1\_struct\_0~X0))=k1\_net\_1~X0){\unicdcdcdhd}\\
((k2\_xboole\_0~(k2\_relat\_1~(k5\_relat\_1~(k1\_net\_1~X0)~(u1\_struct\_0~\\
X0)))~(k2\_relat\_1~(k5\_relat\_1~(k1\_net\_1~X0)~(u4\_struct\_0~X0)))=\\
k2\_relat\_1~(k1\_net\_1~X0)){\unicdcdcdhd}(k2\_xboole\_0~(k2\_relat\_1~(k5\_relat\_1~\\
(k1\_net\_1~X0)~(u4\_struct\_0~X0)))~(k2\_relat\_1~(k5\_relat\_1~(k1\_net\_1~\\
X0)~(u1\_struct\_0~X0)))=k2\_relat\_1~(k1\_net\_1~X0)))))\end{array}$$
\end{theorem}
\end{document}
