\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{t6\_topdim\_2 (TMY7wM1PHgoL6yPPtbRz5oPaRXn8wJERtw1)}
\maketitle
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_pcomps\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_waybel23 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_topdim\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k4\_topdim\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ 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 $ k2\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ r1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_topdim\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_xxreal\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ v2\_tops\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m1\_setfam\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v4\_card\_3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_topdim\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_topdim\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v2\_pre\_topc~X1){\unicdcdcdhd}(\\
(v3\_pcomps\_1~X1){\unicdcdcdhd}(l1\_pre\_topc~X1))){\unicdbdjdcd}((v5\_waybel23~X1){\unicdbdjdcd}((({\unicdcdaddd} X2 .  \\
(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k1\_zfmisc\_1~(u1\_struct\_0~X1)))){\unicdcdcdhd}\\
((v2\_tops\_2~X2~X1){\unicdcdcdhd}((m1\_setfam\_1~X2~(u1\_struct\_0~X1)){\unicdcdcdhd}((v4\_card\_3~\\
X2){\unicdcdcdhd}((v2\_topdim\_1~X2~X1){\unicdcdcdhd}(r1\_xxreal\_0~(k3\_topdim\_1~X1~X2)~X0)))))){\unicdbdjdcd}\\
((v3\_topdim\_1~X1){\unicdcdcdhd}(r1\_xxreal\_0~(k4\_topdim\_1~X1)~X0))){\unicdcdcdhd}(\preoh (v3\_topdim\_1~\\
X1){\unicdcdcdhd}((r1\_xxreal\_0~(k4\_topdim\_1~X1)~X0){\unicdcdcdhd}({\unicdcdadad} X2 .  (m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(u1\_struct\_0~X1))){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~\\
X3~(k1\_zfmisc\_1~(u1\_struct\_0~X1))){\unicdbdjdcd}(\preoh (k2\_struct\_0~X1=k4\_subset\_1~\\
(u1\_struct\_0~X1)~X2~X3){\unicdcdcdhd}((r1\_xboole\_0~X2~X3){\unicdcdcdhd}((r1\_xxreal\_0~(k2\_topdim\_1~\\
X1~X2)~(k3\_xxreal\_3~X0~np\_\_1)){\unicdcdcdhd}(r1\_xxreal\_0~(k2\_topdim\_1~X1~X3)~\\
k6\_numbers)))))))))))\end{array}
\label{hyp:mgidpfehpgahegjgngpfcd}
\end{equation}
\begin{theorem}\label{thm:ehgdpfehpgahegjgngpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v2\_pre\_topc~X1){\unicdcdcdhd}(\\
(v3\_pcomps\_1~X1){\unicdcdcdhd}(l1\_pre\_topc~X1))){\unicdbdjdcd}(\preoh (v5\_waybel23~X1){\unicdcdcdhd}((v3\_topdim\_1~\\
X1){\unicdcdcdhd}((r1\_xxreal\_0~(k4\_topdim\_1~X1)~X0){\unicdcdcdhd}({\unicdcdadad} X2 .  (m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(u1\_struct\_0~X1))){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~\\
X3~(k1\_zfmisc\_1~(u1\_struct\_0~X1))){\unicdbdjdcd}(\preoh (k2\_struct\_0~X1=k4\_subset\_1~\\
(u1\_struct\_0~X1)~X2~X3){\unicdcdcdhd}((r1\_xboole\_0~X2~X3){\unicdcdcdhd}((r1\_xxreal\_0~(k2\_topdim\_1~\\
X1~X2)~(k3\_xxreal\_3~X0~np\_\_1)){\unicdcdcdhd}(r1\_xxreal\_0~(k2\_topdim\_1~X1~X3)~\\
k6\_numbers))))))))))\end{array}$$
\end{theorem}
\end{document}
