\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{t7\_ff\_siec (TMbn673awj9ThWJziTormbvhLuGEFe9K5uD)}
\maketitle
Let $ v1\_net\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_petri : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k4\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_net\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u4\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u1\_petri : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u2\_petri : {{\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\_xboole\_0~X0~X1){\unicdcdcdhd}((r1\_tarski~X4~(k2\_xboole\_0~(k2\_zfmisc\_1~\\
X0~X1)~(k2\_zfmisc\_1~X1~X0))){\unicdcdcdhd}((k4\_tarski~X2~X3 \in X4){\unicdcdcdhd}(X2 \in X0)))){\unicdbdjdcd}\\
((\preoh X2 \in X1){\unicdcdcdhd}((\preoh X3 \in X0){\unicdcdcdhd}(X3 \in X1)))){\unicdcdcdhd}((((r1\_xboole\_0~X0~X1){\unicdcdcdhd}((r1\_tarski~\\
X4~(k2\_xboole\_0~(k2\_zfmisc\_1~X0~X1)~(k2\_zfmisc\_1~X1~X0))){\unicdcdcdhd}((k4\_tarski~\\
X2~X3 \in X4){\unicdcdcdhd}(X3 \in X1)))){\unicdbdjdcd}((\preoh X3 \in X0){\unicdcdcdhd}((\preoh X2 \in X1){\unicdcdcdhd}(X2 \in X0)))){\unicdcdcdhd}((((\\
r1\_xboole\_0~X0~X1){\unicdcdcdhd}((r1\_tarski~X4~(k2\_xboole\_0~(k2\_zfmisc\_1~X0~\\
X1)~(k2\_zfmisc\_1~X1~X0))){\unicdcdcdhd}((k4\_tarski~X2~X3 \in X4){\unicdcdcdhd}(X2 \in X1)))){\unicdbdjdcd}(\\
(\preoh X2 \in X0){\unicdcdcdhd}((\preoh X3 \in X1){\unicdcdcdhd}(X3 \in X0)))){\unicdcdcdhd}(((r1\_xboole\_0~X0~X1){\unicdcdcdhd}((r1\_tarski~\\
X4~(k2\_xboole\_0~(k2\_zfmisc\_1~X0~X1)~(k2\_zfmisc\_1~X1~X0))){\unicdcdcdhd}((k4\_tarski~\\
X2~X3 \in X4){\unicdcdcdhd}(X3 \in X0)))){\unicdbdjdcd}((\preoh X2 \in X0){\unicdcdcdhd}((\preoh X3 \in X1){\unicdcdcdhd}(X2 \in X1)))))))\end{array}
\label{hyp:ehhdpfdhjhdhchfgmg}
\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 .  (l1\_petri~X0){\unicdbdjdcd}((v1\_net\_1~X0){\unicdbdjded}((r1\_xboole\_0~(u1\_struct\_0~\\
X0)~(u4\_struct\_0~X0)){\unicdcdcdhd}(r1\_tarski~(k1\_net\_1~X0)~(k2\_xboole\_0~(\\
k2\_zfmisc\_1~(u1\_struct\_0~X0)~(u4\_struct\_0~X0))~(k2\_zfmisc\_1~(\\
u4\_struct\_0~X0)~(u1\_struct\_0~X0))))))\end{array}
\label{hyp:egcdpfogfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_petri~X0){\unicdbdjdcd}(k1\_net\_1~X0=k2\_xboole\_0~(u1\_petri~\\
X0)~(u2\_petri~X0))\end{array}
\label{hyp:egbdpfogfgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehhdpfggggpfdhjgfgdg}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((v1\_net\_1~X2){\unicdcdcdhd}(l1\_petri~X2)){\unicdbdjdcd}\\
((((k4\_tarski~X0~X1 \in k1\_net\_1~X2){\unicdcdcdhd}(X0 \in u4\_struct\_0~X2)){\unicdbdjdcd}((\preoh X0 \in \\
u1\_struct\_0~X2){\unicdcdcdhd}((\preoh X1 \in u4\_struct\_0~X2){\unicdcdcdhd}(X1 \in u1\_struct\_0~X2)))){\unicdcdcdhd}\\
((((k4\_tarski~X0~X1 \in k1\_net\_1~X2){\unicdcdcdhd}(X1 \in u4\_struct\_0~X2)){\unicdbdjdcd}((\preoh X1 \in \\
u1\_struct\_0~X2){\unicdcdcdhd}((\preoh X0 \in u4\_struct\_0~X2){\unicdcdcdhd}(X0 \in u1\_struct\_0~X2)))){\unicdcdcdhd}\\
((((k4\_tarski~X0~X1 \in k1\_net\_1~X2){\unicdcdcdhd}(X0 \in u1\_struct\_0~X2)){\unicdbdjdcd}((\preoh X1 \in \\
u1\_struct\_0~X2){\unicdcdcdhd}((\preoh X0 \in u4\_struct\_0~X2){\unicdcdcdhd}(X1 \in u4\_struct\_0~X2)))){\unicdcdcdhd}\\
(((k4\_tarski~X0~X1 \in k1\_net\_1~X2){\unicdcdcdhd}(X1 \in u1\_struct\_0~X2)){\unicdbdjdcd}((\preoh X0 \in \\
u1\_struct\_0~X2){\unicdcdcdhd}((\preoh X1 \in u4\_struct\_0~X2){\unicdcdcdhd}(X0 \in u4\_struct\_0~X2)))))))\end{array}$$
\end{theorem}
\end{document}
