\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{t48\_dickson (TMPDXuFp5UiRtoPfjv9KM4xg9uQssaYsiEN)}
\maketitle
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_dickson : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_dickson : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_relset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_orders\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_wellfnd1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k5\_dickson : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_orders\_2~X0)){\unicdbdjdcd}(((v3\_dickson~\\
X0){\unicdcdcdhd}(v4\_dickson~X0)){\unicdbdjdcd}(v1\_wellfnd1~(k5\_dickson~X0)))\end{array}
\label{hyp:ehddddpfegjgdglgdhpgog}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_orders\_2~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (l1\_orders\_2~X1){\unicdbdjdcd}((\\
(r1\_relset\_1~(u1\_struct\_0~X0)~(u1\_struct\_0~X0)~(u1\_orders\_2~X0)~\\
(u1\_orders\_2~X1)){\unicdcdcdhd}((v4\_dickson~X0){\unicdcdcdhd}(u1\_struct\_0~X0=u1\_struct\_0~\\
X1))){\unicdbdjdcd}(v4\_dickson~X1)))\end{array}
\label{hyp:ehcdidpfegjgdglgdhpgog}
\end{equation}
\begin{theorem}\label{thm:ehedidpfegjgdglgdhpgog}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_orders\_2~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((\preoh v2\_struct\_0~X1){\unicdcdcdhd}(l1\_orders\_2~X1)){\unicdbdjdcd}(((v4\_dickson~X0){\unicdcdcdhd}((v3\_dickson~\\
X1){\unicdcdcdhd}((r1\_relset\_1~(u1\_struct\_0~X0)~(u1\_struct\_0~X0)~(u1\_orders\_2~\\
X0)~(u1\_orders\_2~X1)){\unicdcdcdhd}(u1\_struct\_0~X0=u1\_struct\_0~X1)))){\unicdbdjdcd}(v1\_wellfnd1~\\
(k5\_dickson~X1))))\end{array}$$
\end{theorem}
\end{document}
