\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{t61\_jordan6 (TMRXatAxSLNgvfbRa466Dt3K19JUYYB7FdL)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_topreal2 : {{\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 $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k15\_euclid : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k9\_jordan6 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k8\_jordan6 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r1\_topreal1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ k18\_pscomp\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k22\_pscomp\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k9\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k2\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k18\_euclid : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_jordan5c : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k6\_jordan6 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k10\_real\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k7\_real\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_pscomp\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k8\_pscomp\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_jordan5c : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{r1\_tarski}~{X0}}~{({{{k2\_xboole\_0}~{X0}}~{X1}})}}}}\label{hyp:ehhdpfihcgpgpgmgfgpfbd}
\end{equation}
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}((v1\_topreal2~X0){\unicdbdjdcd}((r1\_topreal1~(k15\_euclid~np\_\_2)~\\
(k18\_pscomp\_1~X0)~(k22\_pscomp\_1~X0)~(k8\_jordan6~X0)){\unicdcdcdhd}((r1\_topreal1~\\
(k15\_euclid~np\_\_2)~(k22\_pscomp\_1~X0)~(k18\_pscomp\_1~X0)~(k8\_jordan6~\\
X0)){\unicdcdcdhd}((r1\_topreal1~(k15\_euclid~np\_\_2)~(k22\_pscomp\_1~X0)~(k18\_pscomp\_1~\\
X0)~(k9\_jordan6~X0)){\unicdcdcdhd}((r1\_topreal1~(k15\_euclid~np\_\_2)~(k18\_pscomp\_1~\\
X0)~(k22\_pscomp\_1~X0)~(k9\_jordan6~X0)){\unicdcdcdhd}((k9\_subset\_1~(u1\_struct\_0~\\
(k15\_euclid~np\_\_2))~(k8\_jordan6~X0)~(k9\_jordan6~X0)=k2\_tarski~\\
(k18\_pscomp\_1~X0)~(k22\_pscomp\_1~X0)){\unicdcdcdhd}((k4\_subset\_1~(u1\_struct\_0~\\
(k15\_euclid~np\_\_2))~(k8\_jordan6~X0)~(k9\_jordan6~X0)=X0){\unicdcdcdhd}(\preoh r1\_xxreal\_0~\\
(k18\_euclid~(k1\_jordan5c~(k8\_jordan6~X0)~(k6\_jordan6~(k10\_real\_1~\\
(k7\_real\_1~(k6\_pscomp\_1~X0)~(k8\_pscomp\_1~X0))~np\_\_2))~(k18\_pscomp\_1~\\
X0)~(k22\_pscomp\_1~X0)))~(k18\_euclid~(k2\_jordan5c~(k9\_jordan6~\\
X0)~(k6\_jordan6~(k10\_real\_1~(k7\_real\_1~(k6\_pscomp\_1~X0)~(k8\_pscomp\_1~\\
X0))~np\_\_2))~(k22\_pscomp\_1~X0)~(k18\_pscomp\_1~X0)))))))))))\end{array}
\label{hyp:ehfdadpfkgpgchegbgoggd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
X0)){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~X0))){\unicdbdjdcd}(k4\_subset\_1~X0~X1~X2=\\
k2\_xboole\_0~X1~X2)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflgedpfdhfhcgdhfgehpfbd}
\end{equation}
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}((\preoh v1\_xboole\_0~(k9\_jordan6~X0)){\unicdcdcdhd}(m1\_subset\_1~(k9\_jordan6~\\
X0)~(k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~np\_\_2)))))\end{array}
\label{hyp:egehpflgjdpfkgpgchegbgoggd}
\end{equation}
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}((\preoh v1\_xboole\_0~(k8\_jordan6~X0)){\unicdcdcdhd}(m1\_subset\_1~(k8\_jordan6~\\
X0)~(k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~np\_\_2)))))\end{array}
\label{hyp:egehpflgidpfkgpgchegbgoggd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
X0)){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~X0))){\unicdbdjdcd}(k4\_subset\_1~X0~X1~X2=\\
k4\_subset\_1~X0~X2~X1)\end{array}
\label{hyp:dgpgngngfhehbgehjgghjgehjhpflgedpfdhfhcgdhfgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehgdbdpfkgpgchegbgoggd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((v1\_topreal2~X0){\unicdcdcdhd}(m1\_subset\_1~\\
X0~(k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~np\_\_2)))))){\unicdbdjdcd}((r1\_tarski~\\
(k9\_jordan6~X0)~X0){\unicdcdcdhd}(r1\_tarski~(k8\_jordan6~X0)~X0))\end{array}$$
\end{theorem}
\end{document}
