\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{l186\_jordan (TMQN7Gj7rztj31d4aggqhKJCU8EXMGVdmd2)}
\maketitle
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\_jordan24 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ 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 $ k6\_numbers : {\iota}$ be given.
Let $ k17\_euclid : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_3 : {\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.
Assume the following.
\begin{equation}
{{{k17\_euclid}~{({{{k19\_euclid}~{k6\_numbers}}~{({{k1\_real\_1}~{np\_\_3}})}})}}={k6\_numbers}}\label{hyp:mgjdjdpfkgpgchegbgog}
\end{equation}
Assume the following.
\begin{equation}
{{{k17\_euclid}~{({{{k19\_euclid}~{k6\_numbers}}~{np\_\_3}})}}={k6\_numbers}}\label{hyp:mgjdhdpfkgpgchegbgog}
\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}((r1\_jordan24~np\_\_2~X0~(k19\_euclid~(k1\_real\_1~np\_\_1)~\\
k6\_numbers)~(k19\_euclid~np\_\_1~k6\_numbers)){\unicdbdjdcd}(k17\_euclid~(k19\_euclid~\\
k6\_numbers~np\_\_3)=k10\_real\_1~(k7\_real\_1~(k6\_pscomp\_1~X0)~(k8\_pscomp\_1~\\
X0))~np\_\_2))\end{array}
\label{hyp:mgbdidfdpfkgpgchegbgog}
\end{equation}
\begin{theorem}\label{thm:mgbdidgdpfkgpgchegbgog}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(k1\_zfmisc\_1~(u1\_struct\_0~(k15\_euclid~\\
np\_\_2)))){\unicdbdjdcd}((r1\_jordan24~np\_\_2~X0~(k19\_euclid~(k1\_real\_1~np\_\_1)~\\
k6\_numbers)~(k19\_euclid~np\_\_1~k6\_numbers)){\unicdbdjdcd}(k17\_euclid~(k19\_euclid~\\
k6\_numbers~(k1\_real\_1~np\_\_3))=k10\_real\_1~(k7\_real\_1~(k6\_pscomp\_1~\\
X0)~(k8\_pscomp\_1~X0))~np\_\_2))\end{array}$$
\end{theorem}
\end{document}
