\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{t3\_wellord1 (TMKMQLFaPEmxHXLtxCUNAtRnHx6ApKjHNVQ)}
\maketitle
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_wellord1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_wellord1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_relat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ r1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_wellord1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (r1\_wellord1~X0~X1){\unicdbdjded}(\\
{\unicdcdadad} X2 .  \preoh (r1\_tarski~X2~X1){\unicdcdcdhd}((X2{\unicdcdgdad}k1\_xboole\_0){\unicdcdcdhd}({\unicdcdadad} X3 .  \\
\preoh (X3 \in X2){\unicdcdcdhd}(r1\_xboole\_0~(k1\_wellord1~X0~X3)~X2)))))\end{array}
\label{hyp:egddpfhhfgmgmgpgchegbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}((v1\_wellord1~X0){\unicdbdjded}({\unicdcdadad} X1 .  \preoh (\\
r1\_tarski~X1~(k1\_relat\_1~X0)){\unicdcdcdhd}((X1{\unicdcdgdad}k1\_xboole\_0){\unicdcdcdhd}({\unicdcdadad} X2 .  \\
\preoh (X2 \in X1){\unicdcdcdhd}(r1\_xboole\_0~(k1\_wellord1~X0~X2)~X1)))))\end{array}
\label{hyp:egcdpfhhfgmgmgpgchegbd}
\end{equation}
\begin{theorem}\label{thm:ehddpfhhfgmgmgpgchegbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}((v1\_wellord1~X0){\unicdbdjded}(r1\_wellord1~X0~\\
(k1\_relat\_1~X0)))\end{array}$$
\end{theorem}
\end{document}
