\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{t20\_jordan12 (TMNnAJx3NpngGuEYiAM9MTfRvixuEk36bGQ)}
\maketitle
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ v3\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_matrix\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_goboard1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_goboard1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_goboard1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_goboard1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_finseq\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k15\_euclid : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_matrix\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_convex1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_goboard5 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k9\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k2\_goboard5 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_goboard5 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ m1\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k4\_ordinal1 : {\iota}$ be given.
Let $ v6\_membered : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_convex1~X0~(k15\_euclid~np\_\_2)){\unicdcdcdhd}(m1\_subset\_1~\\
X0~(k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~np\_\_2))))){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v1\_convex1~X1~(k15\_euclid~np\_\_2)){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(u1\_struct\_0~(k15\_euclid~np\_\_2))))){\unicdbdjdcd}(v1\_convex1~(k9\_subset\_1~\\
(u1\_struct\_0~(k15\_euclid~np\_\_2))~X0~X1)~(k15\_euclid~np\_\_2)))\end{array}
\label{hyp:ehgdpfhgpgcgpgbgchegjd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v3\_relat\_1~\\
X1){\unicdcdcdhd}((v1\_matrix\_1~X1){\unicdcdcdhd}((v2\_goboard1~X1){\unicdcdcdhd}((v3\_goboard1~X1){\unicdcdcdhd}\\
((v4\_goboard1~X1){\unicdcdcdhd}((v5\_goboard1~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~(k3\_finseq\_2~\\
(u1\_struct\_0~(k15\_euclid~np\_\_2)))))))))){\unicdbdjdcd}((r1\_xxreal\_0~X0~(\\
k1\_matrix\_1~X1)){\unicdbdjdcd}(v1\_convex1~(k2\_goboard5~X1~X0)~(k15\_euclid~\\
np\_\_2))))\end{array}
\label{hyp:ehbdjdpfkgpgchegbgogbdcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v3\_relat\_1~\\
X1){\unicdcdcdhd}((v1\_matrix\_1~X1){\unicdcdcdhd}((v2\_goboard1~X1){\unicdcdcdhd}((v3\_goboard1~X1){\unicdcdcdhd}\\
((v4\_goboard1~X1){\unicdcdcdhd}((v5\_goboard1~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~(k3\_finseq\_2~\\
(u1\_struct\_0~(k15\_euclid~np\_\_2)))))))))){\unicdbdjdcd}((r1\_xxreal\_0~X0~(\\
k3\_finseq\_1~X1)){\unicdbdjdcd}(v1\_convex1~(k1\_goboard5~X1~X0)~(k15\_euclid~\\
np\_\_2))))\end{array}
\label{hyp:ehbdidpfkgpgchegbgogbdcd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{{m2\_finseq\_1}~{X1}}~{X0}})}{\unicdbdjded}{({{{m1\_finseq\_1}~{X1}}~{X0}})}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpfngcdpfggjgogdhfgbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{k5\_numbers}={k4\_ordinal1}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgfdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
{{v6\_membered}~{k4\_ordinal1}}\label{hyp:ggdggdpfngfgngcgfgchfgeg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v1\_matrix\_1~X0){\unicdcdcdhd}(m1\_finseq\_1~X0~(k3\_finseq\_2~\\
(u1\_struct\_0~(k15\_euclid~np\_\_2))))){\unicdcdcdhd}(v7\_ordinal1~X1)){\unicdbdjdcd}(m1\_subset\_1~\\
(k2\_goboard5~X0~X1)~(k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~np\_\_2))))\end{array}
\label{hyp:egehpflgcdpfhgpgcgpgbgchegfd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v1\_matrix\_1~X0){\unicdcdcdhd}(m1\_finseq\_1~X0~(k3\_finseq\_2~\\
(u1\_struct\_0~(k15\_euclid~np\_\_2))))){\unicdcdcdhd}(v7\_ordinal1~X1)){\unicdbdjdcd}(m1\_subset\_1~\\
(k1\_goboard5~X0~X1)~(k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~np\_\_2))))\end{array}
\label{hyp:egehpflgbdpfhgpgcgpgbgchegfd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_matrix\_1~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~(k3\_finseq\_2~(u1\_struct\_0~\\
(k15\_euclid~np\_\_2))))){\unicdbdjdcd}({\unicdcdadad} X1 .  (v7\_ordinal1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(v7\_ordinal1~X2){\unicdbdjdcd}(k3\_goboard5~X0~X1~X2=k9\_subset\_1~(u1\_struct\_0~\\
(k15\_euclid~np\_\_2))~(k1\_goboard5~X0~X1)~(k2\_goboard5~X0~X2))))\end{array}
\label{hyp:egddpfhgpgcgpgbgchegfd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v6\_membered~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~X0){\unicdbdjdcd}\\
(v7\_ordinal1~X1))\end{array}
\label{hyp:dgdgbdhdpfngfgngcgfgchfgeg}
\end{equation}
\begin{theorem}\label{thm:ehcdadpfkgpgchegbgogbdcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X2 .  ((\preoh v3\_relat\_1~X2){\unicdcdcdhd}((v1\_matrix\_1~\\
X2){\unicdcdcdhd}((v2\_goboard1~X2){\unicdcdcdhd}((v3\_goboard1~X2){\unicdcdcdhd}((v4\_goboard1~X2){\unicdcdcdhd}\\
((v5\_goboard1~X2){\unicdcdcdhd}(m2\_finseq\_1~X2~(k3\_finseq\_2~(u1\_struct\_0~\\
(k15\_euclid~np\_\_2)))))))))){\unicdbdjdcd}(((r1\_xxreal\_0~X0~(k3\_finseq\_1~\\
X2)){\unicdcdcdhd}(r1\_xxreal\_0~X1~(k1\_matrix\_1~X2))){\unicdbdjdcd}(v1\_convex1~(k3\_goboard5~\\
X2~X0~X1)~(k15\_euclid~np\_\_2)))))\end{array}$$
\end{theorem}
\end{document}
