\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{t14\_nat\_4 (TMKiufVWQ6vpdJjsbiYVzrxioibUUpvU9v2)}
\maketitle
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_int\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ k4\_nat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r1\_nat\_d : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}((\preoh (\preoh v1\_int\_2~X0){\unicdcdcdhd}((\preoh r1\_xxreal\_0~\\
X0~np\_\_1){\unicdcdcdhd}({\unicdcdadad} X1 .  (m2\_subset\_1~X1~k1\_numbers~k5\_numbers){\unicdbdjdcd}\\
(\preoh (r1\_nat\_d~X1~X0){\unicdcdcdhd}((\preoh r1\_xxreal\_0~X1~np\_\_1){\unicdcdcdhd}((r1\_xxreal\_0~(k4\_nat\_1~\\
X1~X1)~X0){\unicdcdcdhd}(v1\_int\_2~X1))))))){\unicdcdcdhd}(\preoh (\preoh (\preoh r1\_xxreal\_0~X0~np\_\_1){\unicdcdcdhd}(\\
{\unicdcdadad} X1 .  (m2\_subset\_1~X1~k1\_numbers~k5\_numbers){\unicdbdjdcd}(\preoh (r1\_nat\_d~\\
X1~X0){\unicdcdcdhd}((\preoh r1\_xxreal\_0~X1~np\_\_1){\unicdcdcdhd}((r1\_xxreal\_0~(k4\_nat\_1~X1~X1)~\\
X0){\unicdcdcdhd}(v1\_int\_2~X1)))))){\unicdcdcdhd}(v1\_int\_2~X0)))\end{array}
\label{hyp:mgbdedpfogbgehpfed}
\end{equation}
\begin{theorem}\label{thm:ehbdedpfogbgehpfed}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}((v1\_int\_2~X0){\unicdbdjded}((\preoh r1\_xxreal\_0~X0~\\
np\_\_1){\unicdcdcdhd}({\unicdcdadad} X1 .  (m2\_subset\_1~X1~k1\_numbers~k5\_numbers){\unicdbdjdcd}(\\
\preoh (\preoh r1\_xxreal\_0~X1~np\_\_1){\unicdcdcdhd}((r1\_xxreal\_0~(k4\_nat\_1~X1~X1)~X0){\unicdcdcdhd}(\\
(v1\_int\_2~X1){\unicdcdcdhd}(r1\_nat\_d~X1~X0)))))))\end{array}$$
\end{theorem}
\end{document}
