\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{t33\_ordinal1 (TMJM4v9MUGCjzDSmpuGKaCNBDTeJPV1MqAo)}
\maketitle
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k5\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k10\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v1\_relat\_1~X0){\unicdcdcdhd}(v1\_funct\_1~X0)){\unicdbdjdcd}((v1\_relat\_1~\\
(k5\_relat\_1~X0~X1)){\unicdcdcdhd}(v1\_funct\_1~(k5\_relat\_1~X0~X1)))\end{array}
\label{hyp:ggdgidpfggfhogdgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v1\_relat\_1~X0){\unicdcdcdhd}((v1\_funct\_1~X0){\unicdcdcdhd}(v5\_ordinal1~\\
X0))){\unicdcdcdhd}(v3\_ordinal1~X1)){\unicdbdjdcd}((v1\_relat\_1~(k5\_relat\_1~X0~X1)){\unicdcdcdhd}((\\
v5\_relat\_1~(k5\_relat\_1~X0~X1)~(k10\_xtuple\_0~X0)){\unicdcdcdhd}(v5\_ordinal1~\\
(k5\_relat\_1~X0~X1))))\end{array}
\label{hyp:ggdgfdpfpgchegjgogbgmgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((v1\_relat\_1~X2){\unicdcdcdhd}(v5\_relat\_1~\\
X2~X1)){\unicdbdjdcd}((v1\_relat\_1~(k5\_relat\_1~X2~X0)){\unicdcdcdhd}(v5\_relat\_1~(k5\_relat\_1~\\
X2~X0)~X1))\end{array}
\label{hyp:ggdgcdgdpfchfgmgbgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehddddpfpgchegjgogbgmgbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v1\_relat\_1~X1){\unicdcdcdhd}((v5\_relat\_1~X1~X0){\unicdcdcdhd}(\\
(v1\_funct\_1~X1){\unicdcdcdhd}(v5\_ordinal1~X1)))){\unicdbdjdcd}({\unicdcdadad} X2 .  (v3\_ordinal1~\\
X2){\unicdbdjdcd}((v1\_relat\_1~(k5\_relat\_1~X1~X2)){\unicdcdcdhd}((v5\_relat\_1~(k5\_relat\_1~\\
X1~X2)~X0){\unicdcdcdhd}((v1\_funct\_1~(k5\_relat\_1~X1~X2)){\unicdcdcdhd}(v5\_ordinal1~(k5\_relat\_1~\\
X1~X2))))))\end{array}$$
\end{theorem}
\end{document}
