\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{t18\_petri (TMbbJb9p1Ws9oF4YboaMDH3y74NUUdfUret)}
\maketitle
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v11\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_petri : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_petri : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_petri : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v6\_petri : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v4\_petri : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k12\_petri : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k11\_petri : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_petri : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k7\_petri : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_petri : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((\preoh v11\_struct\_0~X0){\unicdcdcdhd}((v2\_petri~\\
X0){\unicdcdcdhd}((v3\_petri~X0){\unicdcdcdhd}(l1\_petri~X0))))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}(k6\_petri~(k11\_petri~X0)~(\\
k12\_petri~X0~X1)=k7\_petri~X0~X1))\end{array}
\label{hyp:ehbdgdpfahfgehchjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((\preoh v11\_struct\_0~X0){\unicdcdcdhd}((v2\_petri~\\
X0){\unicdcdcdhd}((v3\_petri~X0){\unicdcdcdhd}(l1\_petri~X0))))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}(k7\_petri~(k11\_petri~X0)~(\\
k12\_petri~X0~X1)=k6\_petri~X0~X1))\end{array}
\label{hyp:ehbdfdpfahfgehchjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((\preoh v11\_struct\_0~X0){\unicdcdcdhd}((v2\_petri~\\
X0){\unicdcdcdhd}((v3\_petri~X0){\unicdcdcdhd}(l1\_petri~X0))))){\unicdbdjdcd}((\preoh v2\_struct\_0~(k11\_petri~\\
X0)){\unicdcdcdhd}((\preoh v11\_struct\_0~(k11\_petri~X0)){\unicdcdcdhd}((v1\_petri~(k11\_petri~\\
X0)){\unicdcdcdhd}((v2\_petri~(k11\_petri~X0)){\unicdcdcdhd}(v3\_petri~(k11\_petri~X0))))))\end{array}
\label{hyp:ggdgedpfahfgehchjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((\preoh v11\_struct\_0~X0){\unicdcdcdhd}\\
((v2\_petri~X0){\unicdcdcdhd}((v3\_petri~X0){\unicdcdcdhd}(l1\_petri~X0))))){\unicdcdcdhd}(m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(u1\_struct\_0~X0)))){\unicdbdjdcd}(m1\_subset\_1~(k12\_petri~\\
X0~X1)~(k1\_zfmisc\_1~(u1\_struct\_0~(k11\_petri~X0))))\end{array}
\label{hyp:egehpflgbdcdpfahfgehchjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_petri~X0){\unicdbdjdcd}((v1\_petri~(k11\_petri~X0)){\unicdcdcdhd}(l1\_petri~\\
(k11\_petri~X0)))\end{array}
\label{hyp:egehpflgbdbdpfahfgehchjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((\preoh v11\_struct\_0~X0){\unicdcdcdhd}((v2\_petri~\\
X0){\unicdcdcdhd}((v3\_petri~X0){\unicdcdcdhd}(l1\_petri~X0))))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}((v4\_petri~X1~X0){\unicdbdjded}(m1\_subset\_1~\\
(k6\_petri~X0~X1)~(k1\_zfmisc\_1~(k7\_petri~X0~X1)))))\end{array}
\label{hyp:egidpfahfgehchjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((\preoh v11\_struct\_0~X0){\unicdcdcdhd}((v2\_petri~\\
X0){\unicdcdcdhd}((v3\_petri~X0){\unicdcdcdhd}(l1\_petri~X0))))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}((v6\_petri~X1~X0){\unicdbdjded}(m1\_subset\_1~\\
(k7\_petri~X0~X1)~(k1\_zfmisc\_1~(k6\_petri~X0~X1)))))\end{array}
\label{hyp:egbdadpfahfgehchjg}
\end{equation}
\begin{theorem}\label{thm:ehbdidpfahfgehchjg}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((\preoh v11\_struct\_0~X0){\unicdcdcdhd}((v2\_petri~\\
X0){\unicdcdcdhd}((v3\_petri~X0){\unicdcdcdhd}(l1\_petri~X0))))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}((v6\_petri~X1~X0){\unicdbdjded}(v4\_petri~\\
(k12\_petri~X0~X1)~(k11\_petri~X0))))\end{array}$$
\end{theorem}
\end{document}
