\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{t14\_jordan12 (TMYqt3uEXRPsqzp1m1dAri6RcSntJD2LGiH)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_finseq\_6 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ 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 $ v1\_topreal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_topreal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_goboard5 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_goboard5 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\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 $ r3\_connsp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k3\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_topreal1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_goboard9 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_goboard9 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m1\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_tops\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_goboard5 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ k5\_goboard5 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~\\
np\_\_2)))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}((\preoh v3\_funct\_1~X1){\unicdcdcdhd}\\
((v1\_finseq\_6~X1~(u1\_struct\_0~(k15\_euclid~np\_\_2))){\unicdcdcdhd}((v1\_topreal1~\\
X1){\unicdcdcdhd}((v2\_topreal1~X1){\unicdcdcdhd}((v1\_goboard5~X1){\unicdcdcdhd}((v2\_goboard5~X1){\unicdcdcdhd}\\
(m2\_finseq\_1~X1~(u1\_struct\_0~(k15\_euclid~np\_\_2)))))))))){\unicdbdjdcd}(\preoh \\
(r3\_connsp\_1~(k15\_euclid~np\_\_2)~(k3\_subset\_1~(u1\_struct\_0~(k15\_euclid~\\
np\_\_2))~(k3\_topreal1~np\_\_2~X1))~X0){\unicdcdcdhd}((X0{\unicdcdgdad}k3\_goboard9~X1){\unicdcdcdhd}(X0{\unicdcdgdad}\\
k2\_goboard9~X1))))\end{array}
\label{hyp:ehcdedpfkgpgchegbgogbdig}
\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}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((\preoh v3\_funct\_1~X0){\unicdcdcdhd}((v1\_finseq\_6~\\
X0~(u1\_struct\_0~(k15\_euclid~np\_\_2))){\unicdcdcdhd}((v1\_topreal1~X0){\unicdcdcdhd}((v2\_topreal1~\\
X0){\unicdcdcdhd}((v1\_goboard5~X0){\unicdcdcdhd}((v2\_goboard5~X0){\unicdcdcdhd}(m1\_finseq\_1~X0~(u1\_struct\_0~\\
(k15\_euclid~np\_\_2)))))))))){\unicdbdjdcd}(m1\_subset\_1~(k3\_goboard9~X0)~(\\
k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~np\_\_2))))\end{array}
\label{hyp:egehpflgddpfhgpgcgpgbgchegjd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((\preoh v3\_funct\_1~X0){\unicdcdcdhd}((v1\_finseq\_6~\\
X0~(u1\_struct\_0~(k15\_euclid~np\_\_2))){\unicdcdcdhd}((v1\_topreal1~X0){\unicdcdcdhd}((v2\_topreal1~\\
X0){\unicdcdcdhd}((v1\_goboard5~X0){\unicdcdcdhd}((v2\_goboard5~X0){\unicdcdcdhd}(m1\_finseq\_1~X0~(u1\_struct\_0~\\
(k15\_euclid~np\_\_2)))))))))){\unicdbdjdcd}(m1\_subset\_1~(k2\_goboard9~X0)~(\\
k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~np\_\_2))))\end{array}
\label{hyp:egehpflgcdpfhgpgcgpgbgchegjd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((\preoh v3\_funct\_1~X0){\unicdcdcdhd}((v1\_finseq\_6~\\
X0~(u1\_struct\_0~(k15\_euclid~np\_\_2))){\unicdcdcdhd}((v1\_topreal1~X0){\unicdcdcdhd}((v2\_topreal1~\\
X0){\unicdcdcdhd}((v1\_goboard5~X0){\unicdcdcdhd}((v2\_goboard5~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~(u1\_struct\_0~\\
(k15\_euclid~np\_\_2)))))))))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(u1\_struct\_0~(k15\_euclid~np\_\_2)))){\unicdbdjdcd}((X1=k3\_goboard9~X0){\unicdbdjded}((\\
r3\_connsp\_1~(k15\_euclid~np\_\_2)~(k3\_subset\_1~(u1\_struct\_0~(k15\_euclid~\\
np\_\_2))~(k3\_topreal1~np\_\_2~X0))~X1){\unicdcdcdhd}(r1\_tarski~(k1\_tops\_1~(k15\_euclid~\\
np\_\_2)~(k4\_goboard5~X0~np\_\_1))~X1))))\end{array}
\label{hyp:egcdpfhgpgcgpgbgchegjd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((\preoh v3\_funct\_1~X0){\unicdcdcdhd}((v1\_finseq\_6~\\
X0~(u1\_struct\_0~(k15\_euclid~np\_\_2))){\unicdcdcdhd}((v1\_topreal1~X0){\unicdcdcdhd}((v2\_topreal1~\\
X0){\unicdcdcdhd}((v1\_goboard5~X0){\unicdcdcdhd}((v2\_goboard5~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~(u1\_struct\_0~\\
(k15\_euclid~np\_\_2)))))))))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(u1\_struct\_0~(k15\_euclid~np\_\_2)))){\unicdbdjdcd}((X1=k2\_goboard9~X0){\unicdbdjded}((\\
r3\_connsp\_1~(k15\_euclid~np\_\_2)~(k3\_subset\_1~(u1\_struct\_0~(k15\_euclid~\\
np\_\_2))~(k3\_topreal1~np\_\_2~X0))~X1){\unicdcdcdhd}(r1\_tarski~(k1\_tops\_1~(k15\_euclid~\\
np\_\_2)~(k5\_goboard5~X0~np\_\_1))~X1))))\end{array}
\label{hyp:egbdpfhgpgcgpgbgchegjd}
\end{equation}
\begin{theorem}\label{thm:ehbdedpfkgpgchegbgogbdcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~X2){\unicdcdcdhd}((\preoh v3\_funct\_1~\\
X2){\unicdcdcdhd}((v1\_finseq\_6~X2~(u1\_struct\_0~(k15\_euclid~np\_\_2))){\unicdcdcdhd}((v1\_topreal1~\\
X2){\unicdcdcdhd}((v2\_topreal1~X2){\unicdcdcdhd}((v1\_goboard5~X2){\unicdcdcdhd}((v2\_goboard5~X2){\unicdcdcdhd}\\
(m2\_finseq\_1~X2~(u1\_struct\_0~(k15\_euclid~np\_\_2)))))))))){\unicdbdjdcd}((\\
\preoh ({\unicdcdaddd} X3 .  (m1\_subset\_1~X3~(k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~\\
np\_\_2)))){\unicdcdcdhd}((r3\_connsp\_1~(k15\_euclid~np\_\_2)~(k3\_subset\_1~(u1\_struct\_0~\\
(k15\_euclid~np\_\_2))~(k3\_topreal1~np\_\_2~X2))~X3){\unicdcdcdhd}((X0 \in X3){\unicdcdcdhd}(X1 \in \\
X3)))){\unicdcdcdhd}((\preoh (X0 \in k3\_goboard9~X2){\unicdcdcdhd}(X1 \in k3\_goboard9~X2)){\unicdcdcdhd}(\preoh (X0 \in \\
k2\_goboard9~X2){\unicdcdcdhd}(X1 \in k2\_goboard9~X2)))){\unicdcdcdhd}(\preoh (((X0 \in k3\_goboard9~\\
X2){\unicdcdcdhd}(X1 \in k3\_goboard9~X2)){\unicdcdcdid}((X0 \in k2\_goboard9~X2){\unicdcdcdhd}(X1 \in k2\_goboard9~\\
X2))){\unicdcdcdhd}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(k1\_zfmisc\_1~(u1\_struct\_0~\\
(k15\_euclid~np\_\_2)))){\unicdbdjdcd}(\preoh (r3\_connsp\_1~(k15\_euclid~np\_\_2)~(k3\_subset\_1~\\
(u1\_struct\_0~(k15\_euclid~np\_\_2))~(k3\_topreal1~np\_\_2~X2))~X3){\unicdcdcdhd}\\
((X0 \in X3){\unicdcdcdhd}(X1 \in X3))))))\end{array}$$
\end{theorem}
\end{document}
