\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\_5 (TMPBNY2cZqAoi3sgbPKo3uRbgFSuQTCZmDf)}
\maketitle
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k3\_moebius1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_int\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_nat\_d : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v7\_ordinal1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(v7\_ordinal1~X2){\unicdbdjdcd}(((r1\_nat\_d~X0~X1){\unicdcdcdhd}(r1\_nat\_d~X1~X2)){\unicdbdjdcd}(r1\_nat\_d~\\
X0~X2))))\end{array}
\label{hyp:ehedpfogbgehpfeg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v7\_ordinal1~X1){\unicdbdjdcd}((\\
X1 \in k3\_moebius1~X0){\unicdbdjded}((\preoh r1\_xxreal\_0~X1~k6\_numbers){\unicdcdcdhd}(r1\_nat\_d~\\
X1~X0))))\end{array}
\label{hyp:ehddjdpfngpgfgcgjgfhdhbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v7\_ordinal1~X1){\unicdbdjdcd}((\\
r1\_int\_2~X0~X1){\unicdbdjded}({\unicdcdadad} X2 .  (v7\_ordinal1~X2){\unicdbdjdcd}(((r1\_nat\_d~X2~X0){\unicdcdcdhd}\\
(r1\_nat\_d~X2~X1)){\unicdbdjdcd}(X2=np\_\_1)))))\end{array}
\label{hyp:egbdpfahjhehigehchjgah}
\end{equation}
\begin{theorem}\label{thm:ehbdedpfogbgehpffd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v7\_ordinal1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(v7\_ordinal1~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  (v7\_ordinal1~X3){\unicdbdjdcd}(((X2 \in k3\_moebius1~\\
X0){\unicdcdcdhd}((X3 \in k3\_moebius1~X1){\unicdcdcdhd}(r1\_int\_2~X0~X1))){\unicdbdjdcd}(r1\_int\_2~X2~X3)))))\end{array}$$
\end{theorem}
\end{document}
