\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{l14\_oposet\_1 (TMUUyc5tTMMqFzj3pBoMUMTxNAM3mBpjV3V)}
\maketitle
Let $ v5\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_oposet\_1 : {\iota}$ be given.
Let $ v3\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_qmax\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v13\_struct\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ l2\_qmax\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_robbins1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_lattice3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
{{({{v3\_orders\_2}~{k1\_oposet\_1}})}{\unicdcdcdhd}{({{v3\_qmax\_1}~{k1\_oposet\_1}})}}\label{hyp:ggdgfdpfpgahpgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{({{{v13\_struct\_0}~{k1\_oposet\_1}}~{np\_\_1}})}{\unicdcdcdhd}{({{v3\_qmax\_1}~{k1\_oposet\_1}})}}\label{hyp:ggdgcdpfpgahpgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{l2\_qmax\_1}~{X0}})}{\unicdbdjdcd}{({{({{l1\_orders\_2}~{X0}})}{\unicdcdcdhd}{({{l1\_robbins1}~{X0}})}})}}}\label{hyp:egehpfmgcdpfbhngbgihpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{({{v3\_qmax\_1}~{k1\_oposet\_1}})}{\unicdcdcdhd}{({{l2\_qmax\_1}~{k1\_oposet\_1}})}}\label{hyp:egehpflgbdpfpgahpgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_orders\_2~X0){\unicdbdjdcd}(((v13\_struct\_0~X0~np\_\_1){\unicdcdcdhd}(v3\_orders\_2~\\
X0)){\unicdbdjdcd}((v13\_struct\_0~X0~np\_\_1){\unicdcdcdhd}((v3\_orders\_2~X0){\unicdcdcdhd}((v4\_orders\_2~\\
X0){\unicdcdcdhd}((v5\_orders\_2~X0){\unicdcdcdhd}(v3\_lattice3~X0))))))\end{array}
\label{hyp:dgdgcdpfjhfgmgmgpghhpfad}
\end{equation}
\begin{theorem}\label{thm:mgbdedpfpgahpgdhfgehpfbd}
${{v5\_orders\_2}~{k1\_oposet\_1}}$.
\end{theorem}
\end{document}
