\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{t13\_ff\_siec (TMa33qD7YSWzk5vQje47DUTa3dK5FNPCZUw)}
\maketitle
Let $ v1\_net\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_petri : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ 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 $ k2\_net\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ k3\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_xboole\_0 : {{\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 .  ((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}
\label{hyp:ehhdpfggggpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}(({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  \preoh k4\_tarski~\\
X1~X2 \in X0){\unicdbdjdcd}(X0=k1\_xboole\_0))\end{array}
\label{hyp:ehddhdpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_relat\_1}~{X0}})}{\unicdbdjdcd}{({{{k2\_relat\_1}~{({{k2\_relat\_1}~{X0}})}}={X0}})}}}\label{hyp:jgogghpgmgfhehjgghfgogfgdhdhpflgcdpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v1\_relat\_1~X0){\unicdbdjdcd}(v1\_relat\_1~(k3\_xboole\_0~\\
X0~X1))\end{array}
\label{hyp:ggdgbdpfchfgmgbgehpfbd}
\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}
{{\unicdcdadad} X0 .  {{v1\_relat\_1}~{({{k4\_relat\_1}~{X0}})}}}\label{hyp:egehpflgedpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_relat\_1}~{X0}})}{\unicdbdjdcd}{({{v1\_relat\_1}~{({{k2\_relat\_1}~{X0}})}})}}}\label{hyp:egehpflgcdpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (r1\_xboole\_0~X0~X1){\unicdbdjded}(k3\_xboole\_0~X0~X1=\\
k1\_xboole\_0)\end{array}
\label{hyp:eghdpfihcgpgpgmgfgpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_relat\_1~X1){\unicdbdjdcd}((X1=\\
k2\_relat\_1~X0){\unicdbdjded}({\unicdcdadad} X2 .  {\unicdcdadad} X3 .  (k4\_tarski~X2~X3 \in X1){\unicdbdjded}(\\
k4\_tarski~X3~X2 \in X0))))\end{array}
\label{hyp:eghdpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (X2=k3\_xboole\_0~X0~X1){\unicdbdjded}({\unicdcdadad} X3 .  \\
(X3 \in X2){\unicdbdjded}((X3 \in X0){\unicdcdcdhd}(X3 \in X1)))\end{array}
\label{hyp:egedpfihcgpgpgmgfgpfad}
\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}
\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}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (v1\_relat\_1~\\
X2){\unicdbdjdcd}((X2=k5\_relat\_1~X0~X1){\unicdbdjded}({\unicdcdadad} X3 .  {\unicdcdadad} X4 .  (k4\_tarski~\\
X3~X4 \in X2){\unicdbdjded}((X3 \in X1){\unicdcdcdhd}(k4\_tarski~X3~X4 \in X0)))))\end{array}
\label{hyp:egbdbdpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v1\_relat\_1~X1){\unicdbdjdcd}((X1=k4\_relat\_1~X0){\unicdbdjded}(\\
{\unicdcdadad} X2 .  {\unicdcdadad} X3 .  (k4\_tarski~X2~X3 \in X1){\unicdbdjded}((X2 \in X0){\unicdcdcdhd}(X2=X3))))\end{array}
\label{hyp:egbdadpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{{k3\_xboole\_0}~{X0}}~{X1}}={{{k3\_xboole\_0}~{X1}}~{X0}}}}}\label{hyp:dgpgngngfhehbgehjgghjgehjhpflgddpfihcgpgpgmgfgpfad}
\end{equation}
\begin{theorem}\label{thm:ehbdddpfggggpfdhjgfgdg}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_net\_1~X0){\unicdcdcdhd}(l1\_petri~X0)){\unicdbdjdcd}((r1\_xboole\_0~(k5\_relat\_1~\\
(k2\_relat\_1~(k1\_net\_1~X0))~(u4\_struct\_0~X0))~(k4\_relat\_1~(k2\_net\_1~\\
X0))){\unicdcdcdhd}((r1\_xboole\_0~(k5\_relat\_1~(k1\_net\_1~X0)~(u4\_struct\_0~X0))~\\
(k4\_relat\_1~(k2\_net\_1~X0))){\unicdcdcdhd}((r1\_xboole\_0~(k5\_relat\_1~(k2\_relat\_1~\\
(k1\_net\_1~X0))~(u1\_struct\_0~X0))~(k4\_relat\_1~(k2\_net\_1~X0))){\unicdcdcdhd}\\
(r1\_xboole\_0~(k5\_relat\_1~(k1\_net\_1~X0)~(u1\_struct\_0~X0))~(k4\_relat\_1~\\
(k2\_net\_1~X0))))))\end{array}$$
\end{theorem}
\end{document}
