\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{t8\_wellord2 (TMagSgZAeiZ8eBJBUbC5HQKo3ow9EHRcpbt)}
\maketitle
Let $ v3\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v2\_wellord1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_wellord2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_wellord1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_wellord1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v6\_relat\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_relat\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v8\_relat\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_relat\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (r1\_tarski~X0~X1){\unicdbdjdcd}(k2\_wellord1~(k1\_wellord2~\\
X1)~X0=k1\_wellord2~X0)\end{array}
\label{hyp:ehhdpfhhfgmgmgpgchegcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v1\_relat\_1~X1){\unicdbdjdcd}((v2\_wellord1~X1){\unicdbdjdcd}(v2\_wellord1~\\
(k2\_wellord1~X1~X0)))\end{array}
\label{hyp:ehcdfdpfhhfgmgmgpgchegbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v3\_ordinal1~X0){\unicdbdjdcd}((v1\_relat\_1~(k1\_wellord2~X0)){\unicdcdcdhd}\\
(v1\_wellord1~(k1\_wellord2~X0)))\end{array}
\label{hyp:ggdgfdpfhhfgmgmgpgchegcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v3\_ordinal1~X0){\unicdbdjdcd}((v1\_relat\_1~(k1\_wellord2~X0)){\unicdcdcdhd}\\
(v6\_relat\_2~(k1\_wellord2~X0)))\end{array}
\label{hyp:ggdgedpfhhfgmgmgpgchegcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~(k1\_wellord2~X0)){\unicdcdcdhd}(v4\_relat\_2~(k1\_wellord2~\\
X0))\end{array}
\label{hyp:ggdgddpfhhfgmgmgpgchegcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~(k1\_wellord2~X0)){\unicdcdcdhd}(v8\_relat\_2~(k1\_wellord2~\\
X0))\end{array}
\label{hyp:ggdgcdpfhhfgmgmgpgchegcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~(k1\_wellord2~X0)){\unicdcdcdhd}(v1\_relat\_2~(k1\_wellord2~\\
X0))\end{array}
\label{hyp:ggdgbdpfhhfgmgmgpgchegcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}((v2\_wellord1~X0){\unicdbdjded}((v1\_relat\_2~X0){\unicdcdcdhd}\\
((v8\_relat\_2~X0){\unicdcdcdhd}((v4\_relat\_2~X0){\unicdcdcdhd}((v6\_relat\_2~X0){\unicdcdcdhd}(v1\_wellord1~\\
X0))))))\end{array}
\label{hyp:egedpfhhfgmgmgpgchegbd}
\end{equation}
\begin{theorem}\label{thm:ehidpfhhfgmgmgpgchegcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v3\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (r1\_tarski~X1~X0){\unicdbdjdcd}(v2\_wellord1~\\
(k1\_wellord2~X1)))\end{array}$$
\end{theorem}
\end{document}
