\documentclass{article}
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\newtheorem{lemma}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\newcommand\preoh[1]{\lnot #1}
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\begin{document}
\title{t18\_fomodel2 (TMRTSvShorLeWni6BV5ygV7qWCv7PeYge2v)}
\maketitle
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v6\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v11\_fomodel1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_fomodel1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k3\_finseq\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k15\_fomodel1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ k32\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_nat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ v5\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k36\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k35\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k28\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{X0} \in {X1}})}{\unicdbdjdcd}{({{{m1\_subset\_1}~{X0}}~{X1}})}}}}\label{hyp:ehbdpfdhfhcgdhfgeh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v6\_struct\_0~X0){\unicdcdcdhd}((v11\_fomodel1~X0){\unicdcdcdhd}\\
(l1\_fomodel1~X0))){\unicdcdcdhd}(v7\_ordinal1~X1)){\unicdbdjdcd}(k36\_fomodel2~X0~X1=k28\_fomodel2~\\
X0~X1)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflgddgdpfggpgngpgegfgmgcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v6\_struct\_0~X1){\unicdcdcdhd}\\
((v11\_fomodel1~X1){\unicdcdcdhd}(l1\_fomodel1~X1))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v4\_fomodel2~\\
X2~X1){\unicdcdcdhd}(m2\_subset\_1~X2~(k3\_finseq\_2~(k15\_fomodel1~X1))~(k6\_subset\_1~\\
(k3\_finseq\_2~(k15\_fomodel1~X1))~(k1\_tarski~k1\_xboole\_0)))){\unicdbdjdcd}\\
((k32\_fomodel2~X1~X2=k1\_nat\_1~X0~np\_\_1){\unicdbdjdcd}((v5\_fomodel2~X2~X1){\unicdcdcdid}\\
(X2 \in k35\_fomodel2~X1~X0)))))\end{array}
\label{hyp:mghdgdpfggpgngpgegfgmgcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v6\_struct\_0~X1){\unicdcdcdhd}\\
((v11\_fomodel1~X1){\unicdcdcdhd}(l1\_fomodel1~X1))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v4\_fomodel2~\\
X2~X1){\unicdcdcdhd}(m2\_subset\_1~X2~(k3\_finseq\_2~(k15\_fomodel1~X1))~(k6\_subset\_1~\\
(k3\_finseq\_2~(k15\_fomodel1~X1))~(k1\_tarski~k1\_xboole\_0)))){\unicdbdjdcd}\\
(((k32\_fomodel2~X1~X2=k1\_nat\_1~X0~np\_\_1){\unicdcdcdhd}(v5\_fomodel2~X2~X1)){\unicdbdjdcd}\\
(X2 \in k28\_fomodel2~X1~X0))))\end{array}
\label{hyp:mghdedpfggpgngpgegfgmgcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v6\_struct\_0~X0){\unicdcdcdhd}((v11\_fomodel1~X0){\unicdcdcdhd}\\
(l1\_fomodel1~X0))){\unicdcdcdhd}(v7\_ordinal1~X1)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~\\
X2~(k36\_fomodel2~X0~X1)){\unicdbdjdcd}(v5\_fomodel2~X2~X0))\end{array}
\label{hyp:dgdgbdgdpfggpgngpgegfgmgcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v6\_struct\_0~X0){\unicdcdcdhd}((v11\_fomodel1~X0){\unicdcdcdhd}\\
(l1\_fomodel1~X0))){\unicdcdcdhd}(v7\_ordinal1~X1)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~\\
X2~(k35\_fomodel2~X0~X1)){\unicdbdjdcd}(\preoh v5\_fomodel2~X2~X0))\end{array}
\label{hyp:dgdgbdfdpfggpgngpgegfgmgcd}
\end{equation}
\begin{theorem}\label{thm:ehbdidpfggpgngpgegfgmgcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v6\_struct\_0~X1){\unicdcdcdhd}\\
((v11\_fomodel1~X1){\unicdcdcdhd}(l1\_fomodel1~X1))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v4\_fomodel2~\\
X2~X1){\unicdcdcdhd}(m2\_subset\_1~X2~(k3\_finseq\_2~(k15\_fomodel1~X1))~(k6\_subset\_1~\\
(k3\_finseq\_2~(k15\_fomodel1~X1))~(k1\_tarski~k1\_xboole\_0)))){\unicdbdjdcd}\\
((k32\_fomodel2~X1~X2=k1\_nat\_1~X0~np\_\_1){\unicdbdjdcd}(((v5\_fomodel2~X2~X1){\unicdbdjdcd}\\
(X2 \in k36\_fomodel2~X1~X0)){\unicdcdcdhd}(((X2 \in k36\_fomodel2~X1~X0){\unicdbdjdcd}(v5\_fomodel2~\\
X2~X1)){\unicdcdcdhd}(((\preoh v5\_fomodel2~X2~X1){\unicdbdjdcd}(X2 \in k35\_fomodel2~X1~X0)){\unicdcdcdhd}(\preoh (X2 \in \\
k35\_fomodel2~X1~X0){\unicdcdcdhd}(v5\_fomodel2~X2~X1))))))))\end{array}$$
\end{theorem}
\end{document}
