\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{t6\_petri\_2 (TMNSnqFDnz1av7sG2CyLEZA6XZV49X364ws)}
\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\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u4\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_petri\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k9\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u2\_petri\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_petri\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k8\_petri : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_domain\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k9\_petri : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k2\_petri\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k6\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k8\_petri\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ 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\_2~X0))))){\unicdbdjdcd}((v3\_petri\_2~X0){\unicdbdjded}((\\
r1\_tarski~(k9\_xtuple\_0~(u2\_petri\_2~X0))~(k6\_subset\_1~(u4\_struct\_0~\\
X0)~(k8\_petri\_2~X0))){\unicdcdcdhd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u4\_struct\_0~\\
X0)){\unicdbdjdcd}(\preoh (X1 \in k9\_xtuple\_0~(u2\_petri\_2~X0)){\unicdcdcdhd}({\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~\\
X2){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(u1\_petri\_2~X0)))){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
(m1\_subset\_1~X3~(k1\_zfmisc\_1~(k8\_petri~X0~(k6\_domain\_1~(u4\_struct\_0~\\
X0)~X1)))){\unicdbdjdcd}({\unicdcdadad} X4 .  (m1\_subset\_1~X4~(k1\_zfmisc\_1~(k9\_petri~\\
X0~(k6\_domain\_1~(u4\_struct\_0~X0)~X1)))){\unicdbdjdcd}(\preoh (v1\_funct\_1~(k1\_funct\_1~\\
(u2\_petri\_2~X0)~X1)){\unicdcdcdhd}((v1\_funct\_2~(k1\_funct\_1~(u2\_petri\_2~X0)~\\
X1)~(k2\_petri\_2~X2~X3)~(k2\_petri\_2~X2~X4)){\unicdcdcdhd}(m1\_subset\_1~(k1\_funct\_1~\\
(u2\_petri\_2~X0)~X1)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_petri\_2~X2~X3)~\\
(k2\_petri\_2~X2~X4)))))))))))))\end{array}
\label{hyp:egbdbdpfahfgehchjgpfcd}
\end{equation}
\begin{theorem}\label{thm:ehgdpfahfgehchjgpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((\preoh v11\_struct\_0~X0){\unicdcdcdhd}((v2\_petri~\\
X0){\unicdcdcdhd}((v3\_petri~X0){\unicdcdcdhd}(l1\_petri\_2~X0))))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~(u4\_struct\_0~X0)){\unicdbdjdcd}(\preoh (v3\_petri\_2~X0){\unicdcdcdhd}((X1 \in k9\_xtuple\_0~(u2\_petri\_2~\\
X0)){\unicdcdcdhd}({\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~X2){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~\\
(u1\_petri\_2~X0)))){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(k1\_zfmisc\_1~\\
(k8\_petri~X0~(k6\_domain\_1~(u4\_struct\_0~X0)~X1)))){\unicdbdjdcd}({\unicdcdadad} X4 .  \\
(m1\_subset\_1~X4~(k1\_zfmisc\_1~(k9\_petri~X0~(k6\_domain\_1~(u4\_struct\_0~\\
X0)~X1)))){\unicdbdjdcd}(\preoh (v1\_funct\_1~(k1\_funct\_1~(u2\_petri\_2~X0)~X1)){\unicdcdcdhd}((\\
v1\_funct\_2~(k1\_funct\_1~(u2\_petri\_2~X0)~X1)~(k2\_petri\_2~X2~X3)~(\\
k2\_petri\_2~X2~X4)){\unicdcdcdhd}(m1\_subset\_1~(k1\_funct\_1~(u2\_petri\_2~X0)~X1)~\\
(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_petri\_2~X2~X3)~(k2\_petri\_2~X2~X4))))))))))))\end{array}$$
\end{theorem}
\end{document}
