\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{l116\_jordan (TMNTF1ZNLKJ6D9mAoC8sH5qieq6VYaFE7DY)}
\maketitle
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_rltopsp1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k15\_euclid : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ k19\_euclid : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_real\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ np\_\_3 : {\iota}$ be given.
Let $ k1\_sppol\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k4\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}r1\_tarski~(k4\_subset\_1~(u1\_struct\_0~(k15\_euclid~np\_\_2))~(k1\_rltopsp1~\\
(k15\_euclid~np\_\_2)~(k19\_euclid~(k1\_real\_1~np\_\_1)~(k1\_real\_1~np\_\_3))~\\
(k19\_euclid~(k1\_real\_1~np\_\_1)~np\_\_3))~(k1\_rltopsp1~(k15\_euclid~\\
np\_\_2)~(k19\_euclid~(k1\_real\_1~np\_\_1)~np\_\_3)~(k19\_euclid~np\_\_1~\\
np\_\_3)))~(k1\_sppol\_2~(k1\_real\_1~np\_\_1)~np\_\_1~(k1\_real\_1~np\_\_3)~\\
np\_\_3)\end{array}
\label{hyp:mgbdbdfdpfkgpgchegbgog}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}r1\_tarski~(k1\_rltopsp1~(k15\_euclid~np\_\_2)~(k19\_euclid~(k1\_real\_1~\\
np\_\_1)~(k1\_real\_1~np\_\_3))~(k19\_euclid~(k1\_real\_1~np\_\_1)~np\_\_3))~\\
(k4\_subset\_1~(u1\_struct\_0~(k15\_euclid~np\_\_2))~(k1\_rltopsp1~(\\
k15\_euclid~np\_\_2)~(k19\_euclid~(k1\_real\_1~np\_\_1)~(k1\_real\_1~np\_\_3))~\\
(k19\_euclid~(k1\_real\_1~np\_\_1)~np\_\_3))~(k1\_rltopsp1~(k15\_euclid~\\
np\_\_2)~(k19\_euclid~(k1\_real\_1~np\_\_1)~np\_\_3)~(k19\_euclid~np\_\_1~\\
np\_\_3)))\end{array}
\label{hyp:mgbdbdedpfkgpgchegbgog}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (r1\_tarski~X0~X1){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X0){\unicdbdjdcd}\\
(X2 \in X1))\end{array}
\label{hyp:egddpfehbgchdhlgjg}
\end{equation}
\begin{theorem}\label{thm:mgbdbdgdpfkgpgchegbgog}
$$\begin{array}{c}r1\_tarski~(k1\_rltopsp1~(k15\_euclid~np\_\_2)~(k19\_euclid~(k1\_real\_1~\\
np\_\_1)~(k1\_real\_1~np\_\_3))~(k19\_euclid~(k1\_real\_1~np\_\_1)~np\_\_3))~\\
(k1\_sppol\_2~(k1\_real\_1~np\_\_1)~np\_\_1~(k1\_real\_1~np\_\_3)~np\_\_3)\end{array}$$
\end{theorem}
\end{document}
