\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\_robbins3 (TMFAbuPZ1DZaS8qvQ1tDq6UNsbt1sDHp7Sb)}
\maketitle
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v10\_lattices : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v10\_robbins1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v8\_robbins3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v9\_robbins3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l4\_robbins1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v10\_robbins3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m3\_robbins3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v12\_oposet\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l4\_robbins3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v6\_oposet\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l3\_robbins3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l2\_qmax\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l2\_robbins1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l3\_lattices : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_lattices : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_lattices : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v6\_lattices : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v7\_lattices : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v8\_lattices : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v9\_lattices : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l4\_robbins3~X0)){\unicdbdjdcd}(((v8\_robbins3~\\
X0){\unicdcdcdhd}((v9\_robbins3~X0){\unicdcdcdhd}((v10\_robbins1~X0){\unicdcdcdhd}((v10\_lattices~X0){\unicdcdcdhd}\\
(v10\_robbins3~X0))))){\unicdbdjdcd}((v12\_oposet\_1~X0){\unicdcdcdhd}(v6\_oposet\_1~X0)))\end{array}
\label{hyp:ehcdidpfchpgcgcgjgogdhdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l4\_robbins1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m3\_robbins3~X1~X0){\unicdbdjdcd}\\
(l4\_robbins3~X1))\end{array}
\label{hyp:egehpfngddpfchpgcgcgjgogdhdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l4\_robbins3~X0){\unicdbdjdcd}((l3\_robbins3~X0){\unicdcdcdhd}((l4\_robbins1~\\
X0){\unicdcdcdhd}(l2\_qmax\_1~X0)))\end{array}
\label{hyp:egehpfmgedpfchpgcgcgjgogdhdd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{l4\_robbins1}~{X0}})}{\unicdbdjdcd}{({{({{l2\_robbins1}~{X0}})}{\unicdcdcdhd}{({{l3\_lattices}~{X0}})}})}}}\label{hyp:egehpfmgedpfchpgcgcgjgogdhbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l3\_lattices~X0){\unicdbdjdcd}(((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v4\_lattices~\\
X0){\unicdcdcdhd}((v5\_lattices~X0){\unicdcdcdhd}((v6\_lattices~X0){\unicdcdcdhd}((v7\_lattices~X0){\unicdcdcdhd}\\
((v8\_lattices~X0){\unicdcdcdhd}(v9\_lattices~X0))))))){\unicdbdjdcd}((\preoh v2\_struct\_0~X0){\unicdcdcdhd}\\
(v10\_lattices~X0)))\end{array}
\label{hyp:dgdgcdpfmgbgehehjgdgfgdh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v10\_lattices~X0){\unicdcdcdhd}((v10\_robbins1~\\
X0){\unicdcdcdhd}((v8\_robbins3~X0){\unicdcdcdhd}((v9\_robbins3~X0){\unicdcdcdhd}(l4\_robbins1~X0)))))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  (m3\_robbins3~X1~X0){\unicdbdjdcd}(v10\_robbins1~X1))\end{array}
\label{hyp:dgdgcdhdpfchpgcgcgjgogdhdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v10\_lattices~X0){\unicdcdcdhd}((v10\_robbins1~\\
X0){\unicdcdcdhd}((v8\_robbins3~X0){\unicdcdcdhd}((v9\_robbins3~X0){\unicdcdcdhd}(l4\_robbins1~X0)))))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  (m3\_robbins3~X1~X0){\unicdbdjdcd}(v8\_robbins3~X1))\end{array}
\label{hyp:dgdgcdgdpfchpgcgcgjgogdhdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v9\_robbins3~X0){\unicdcdcdhd}(l4\_robbins1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m3\_robbins3~X1~X0){\unicdbdjdcd}(v9\_robbins3~X1))\end{array}
\label{hyp:dgdgcdcdpfchpgcgcgjgogdhdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v9\_lattices~X0){\unicdcdcdhd}(l4\_robbins1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m3\_robbins3~X1~X0){\unicdbdjdcd}(v9\_lattices~X1))\end{array}
\label{hyp:dgdgcdbdpfchpgcgcgjgogdhdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v8\_lattices~X0){\unicdcdcdhd}(l4\_robbins1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m3\_robbins3~X1~X0){\unicdbdjdcd}(v8\_lattices~X1))\end{array}
\label{hyp:dgdgcdadpfchpgcgcgjgogdhdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l3\_lattices~X0){\unicdbdjdcd}(((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(v10\_lattices~\\
X0)){\unicdbdjdcd}((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v4\_lattices~X0){\unicdcdcdhd}((v5\_lattices~X0){\unicdcdcdhd}\\
((v6\_lattices~X0){\unicdcdcdhd}((v7\_lattices~X0){\unicdcdcdhd}((v8\_lattices~X0){\unicdcdcdhd}(v9\_lattices~\\
X0))))))))\end{array}
\label{hyp:dgdgbdpfmgbgehehjgdgfgdh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v4\_lattices~X0){\unicdcdcdhd}(l4\_robbins1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m3\_robbins3~X1~X0){\unicdbdjdcd}(v4\_lattices~X1))\end{array}
\label{hyp:dgdgbdjdpfchpgcgcgjgogdhdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v6\_lattices~X0){\unicdcdcdhd}(l4\_robbins1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m3\_robbins3~X1~X0){\unicdbdjdcd}(v6\_lattices~X1))\end{array}
\label{hyp:dgdgbdidpfchpgcgcgjgogdhdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v5\_lattices~X0){\unicdcdcdhd}(l4\_robbins1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m3\_robbins3~X1~X0){\unicdbdjdcd}(v5\_lattices~X1))\end{array}
\label{hyp:dgdgbdhdpfchpgcgcgjgogdhdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v7\_lattices~X0){\unicdcdcdhd}(l4\_robbins1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m3\_robbins3~X1~X0){\unicdbdjdcd}(v7\_lattices~X1))\end{array}
\label{hyp:dgdgbdgdpfchpgcgcgjgogdhdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l4\_robbins1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m3\_robbins3~X1~X0){\unicdbdjdcd}(\preoh v2\_struct\_0~X1))\end{array}
\label{hyp:dgdgbdfdpfchpgcgcgjgogdhdd}
\end{equation}
\begin{theorem}\label{thm:ehcdjdpfchpgcgcgjgogdhdd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v10\_lattices~X0){\unicdcdcdhd}((v10\_robbins1~\\
X0){\unicdcdcdhd}((v8\_robbins3~X0){\unicdcdcdhd}((v9\_robbins3~X0){\unicdcdcdhd}(l4\_robbins1~X0)))))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  ((v10\_robbins3~X1){\unicdcdcdhd}(m3\_robbins3~X1~X0)){\unicdbdjdcd}(v12\_oposet\_1~\\
X1))\end{array}$$
\end{theorem}
\end{document}
