\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{t29\_wellord1 (TMcURUKp7eUZ2TS7q9y6m96o5BMPhSnRk3t)}
\maketitle
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_wellord1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_relat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_wellord1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ 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.
Let $ k2\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_wellord1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (v1\_relat\_1~X2){\unicdbdjdcd}((X0 \in k1\_wellord1~\\
X2~X1){\unicdbdjded}((X0{\unicdcdgdad}X1){\unicdcdcdhd}(k4\_tarski~X0~X1 \in X2)))\end{array}
\label{hyp:ehbdpfhhfgmgmgpgchegbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{r1\_tarski}~{X0}}~{X0}}}}\label{hyp:chfgggmgfgihjgghjgehjhpfchbdpfehbgchdhlgjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}((v6\_relat\_2~X0){\unicdbdjded}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  \\
\preoh (X1 \in k1\_relat\_1~X0){\unicdcdcdhd}((X2 \in k1\_relat\_1~X0){\unicdcdcdhd}((X1{\unicdcdgdad}X2){\unicdcdcdhd}((\preoh k4\_tarski~\\
X1~X2 \in X0){\unicdcdcdhd}(\preoh k4\_tarski~X2~X1 \in X0))))))\end{array}
\label{hyp:mgedpfhhfgmgmgpgchegbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}((v4\_relat\_2~X0){\unicdbdjded}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  \\
((k4\_tarski~X1~X2 \in X0){\unicdcdcdhd}(k4\_tarski~X2~X1 \in X0)){\unicdbdjdcd}(X1=X2)))\end{array}
\label{hyp:mgddpfhhfgmgmgpgchegbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}((v8\_relat\_2~X0){\unicdbdjded}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  \\
{\unicdcdadad} X3 .  ((k4\_tarski~X1~X2 \in X0){\unicdcdcdhd}(k4\_tarski~X2~X3 \in X0)){\unicdbdjdcd}(k4\_tarski~\\
X1~X3 \in X0)))\end{array}
\label{hyp:mgcdpfhhfgmgmgpgchegbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}((v1\_relat\_2~X0){\unicdbdjded}({\unicdcdadad} X1 .  (X1 \in \\
k1\_relat\_1~X0){\unicdbdjdcd}(k4\_tarski~X1~X1 \in X0)))\end{array}
\label{hyp:mgbdpfhhfgmgmgpgchegbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  k4\_tarski~X0~X1=k2\_tarski~(k2\_tarski~X0~\\
X1)~(k1\_tarski~X0)\end{array}
\label{hyp:egfdpfehbgchdhlgjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (r1\_tarski~X0~X1){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X0){\unicdbdjdcd}\\
(X2 \in X1))\end{array}
\label{hyp:egddpfehbgchdhlgjg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{{k2\_tarski}~{X0}}~{X1}}={{{k2\_tarski}~{X1}}~{X0}}}}}\label{hyp:dgpgngngfhehbgehjgghjgehjhpflgcdpfehbgchdhlgjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}(v2\_wellord1~X0)){\unicdbdjdcd}((v1\_relat\_1~\\
X0){\unicdcdcdhd}((v1\_relat\_2~X0){\unicdcdcdhd}((v4\_relat\_2~X0){\unicdcdcdhd}((v6\_relat\_2~X0){\unicdcdcdhd}((v8\_relat\_2~\\
X0){\unicdcdcdhd}(v1\_wellord1~X0))))))\end{array}
\label{hyp:dgdgbdpfhhfgmgmgpgchegbd}
\end{equation}
\begin{theorem}\label{thm:ehcdjdpfhhfgmgmgpgchegbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (v1\_relat\_1~X2){\unicdbdjdcd}(((v2\_wellord1~\\
X2){\unicdcdcdhd}((X0 \in k1\_relat\_1~X2){\unicdcdcdhd}(X1 \in k1\_relat\_1~X2))){\unicdbdjdcd}((k4\_tarski~X0~\\
X1 \in X2){\unicdbdjded}(r1\_tarski~(k1\_wellord1~X2~X0)~(k1\_wellord1~X2~X1))))\end{array}$$
\end{theorem}
\end{document}
