\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{t23\_jordan5b (TMGxHgkDCwRht7SD1eKC9twm6Rm7vhFCsdS)}
\maketitle
Let $ m2\_finseq\_1 : {{\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 $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_topreal1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v4\_topreal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k2\_jordan3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_1~X0~(u1\_struct\_0~(k15\_euclid~np\_\_2))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~(k15\_euclid~np\_\_2))){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(u1\_struct\_0~(k15\_euclid~np\_\_2))){\unicdbdjdcd}\\
(\preoh (X1 \in k3\_topreal1~np\_\_2~X0){\unicdcdcdhd}((X2 \in k3\_topreal1~np\_\_2~X0){\unicdcdcdhd}((X1{\unicdcdgdad}\\
k1\_funct\_1~X0~(k3\_finseq\_1~X0)){\unicdcdcdhd}((v4\_topreal1~X0){\unicdcdcdhd}((\preoh X1 \in k3\_topreal1~\\
np\_\_2~(k2\_jordan3~X0~X2)){\unicdcdcdhd}(\preoh X2 \in k3\_topreal1~np\_\_2~(k2\_jordan3~\\
X0~X1)))))))))\end{array}
\label{hyp:mgcdedpfkgpgchegbgogfdcg}
\end{equation}
\begin{theorem}\label{thm:ehcdddpfkgpgchegbgogfdcg}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_1~X0~(u1\_struct\_0~(k15\_euclid~np\_\_2))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~(k15\_euclid~np\_\_2))){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(u1\_struct\_0~(k15\_euclid~np\_\_2))){\unicdbdjdcd}\\
(\preoh (X1{\unicdcdgdad}k1\_funct\_1~X0~(k3\_finseq\_1~X0)){\unicdcdcdhd}((X1 \in k3\_topreal1~np\_\_2~\\
X0){\unicdcdcdhd}((X2 \in k3\_topreal1~np\_\_2~X0){\unicdcdcdhd}((v4\_topreal1~X0){\unicdcdcdhd}((\preoh X1 \in k3\_topreal1~\\
np\_\_2~(k2\_jordan3~X0~X2)){\unicdcdcdhd}(\preoh X2 \in k3\_topreal1~np\_\_2~(k2\_jordan3~\\
X0~X1)))))))))\end{array}$$
\end{theorem}
\end{document}
