\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{t4\_oposet\_1 (TMYt8uNPcaoz1kVRMMbY9DAbLS6TNEpQ3Zz)}
\maketitle
Let $ v3\_necklace : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k2\_oposet\_1 : {\iota}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ g2\_qmax\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_qmax\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_partit\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\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 $ k8\_funct\_5 : {\iota}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ r2\_relat\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_orders\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k4\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u1\_robbins1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{\preoh{{({{X0} \in {X1}})}}}{\unicdcdcdhd}{({{v1\_xboole\_0}~{X1}})}}}}\label{hyp:ehhdpfcgpgpgmgfg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~X0~X0))){\unicdcdcdhd}((v1\_funct\_1~X2){\unicdcdcdhd}((v1\_funct\_2~X2~X0~X0){\unicdcdcdhd}\\
(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~X0)))))){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
{\unicdcdadad} X4 .  {\unicdcdadad} X5 .  (g2\_qmax\_1~X0~X1~X2=g2\_qmax\_1~X3~X4~X5){\unicdbdjdcd}(\\
(X0=X3){\unicdcdcdhd}((X1=X4){\unicdcdcdhd}(X2=X5))))\end{array}
\label{hyp:ggchfgfgpfhgcdpfbhngbgihpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{({\preoh{{{v2\_struct\_0}~{k2\_oposet\_1}}}})}{\unicdcdcdhd}{({{v3\_qmax\_1}~{k2\_oposet\_1}})}}\label{hyp:ggdgddpfpgahpgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{v1\_xboole\_0}~{({{{k1\_partit\_2}~{X0}}~{X1}})}}}}\label{hyp:ggdgbdpfahbgchehjgehpfcd}
\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}
\begin{array}{c}(v1\_funct\_1~k8\_funct\_5){\unicdcdcdhd}((v1\_funct\_2~k8\_funct\_5~np\_\_1~np\_\_1){\unicdcdcdhd}\\
(m1\_subset\_1~k8\_funct\_5~(k1\_zfmisc\_1~(k2\_zfmisc\_1~np\_\_1~np\_\_1))))\end{array}
\label{hyp:egehpflgidpfggfhogdgehpffd}
\end{equation}
Assume the following.
\begin{equation}
{{({{v3\_qmax\_1}~{k2\_oposet\_1}})}{\unicdcdcdhd}{({{l2\_qmax\_1}~{k2\_oposet\_1}})}}\label{hyp:egehpflgcdpfpgahpgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  m1\_subset\_1~(k1\_partit\_2~X0~X1)~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~X0~X1))\end{array}
\label{hyp:egehpflgbdpfahbgchehjgehpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_orders\_2~X0)){\unicdbdjdcd}((v3\_necklace~\\
X0){\unicdbdjded}(r2\_relat\_2~(u1\_orders\_2~X0)~(u1\_struct\_0~X0)))\end{array}
\label{hyp:eggdpfpgahpgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (r2\_relat\_2~X0~X1){\unicdbdjded}({\unicdcdadad} X2 .  \\
\preoh (X2 \in X1){\unicdcdcdhd}(k4\_tarski~X2~X2 \in X0)))\end{array}
\label{hyp:egcdpfchfgmgbgehpfcd}
\end{equation}
Assume the following.
\begin{equation}
{{k2\_oposet\_1}={{{{g2\_qmax\_1}~{np\_\_1}}~{({{{k1\_partit\_2}~{np\_\_1}}~{np\_\_1}})}}~{k8\_funct\_5}}}\label{hyp:egcdpfpgahpgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_xboole\_0}~{X0}})}{\unicdbdjdcd}{({{v1\_relat\_1}~{X0}})}}}\label{hyp:dgdgbdpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l2\_qmax\_1~X0){\unicdbdjdcd}((v3\_qmax\_1~X0){\unicdbdjdcd}(X0=g2\_qmax\_1~(u1\_struct\_0~\\
X0)~(u1\_orders\_2~X0)~(u1\_robbins1~X0)))\end{array}
\label{hyp:bgcgdhehchbgdgehogfgdhdhpfghddpfbhngbgihpfbd}
\end{equation}
\begin{theorem}\label{thm:ehedpfpgahpgdhfgehpfbd}
${{v3\_necklace}~{k2\_oposet\_1}}$.
\end{theorem}
\end{document}
