\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{t14\_yellow21 (TMJkv5oU5sT8d4g5HMmgUD5aGRJWM4NKsPw)}
\maketitle
Let $ v2\_setfam\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_lattice3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_lattice3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k6\_yellow21 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_lattice3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k2\_yellow21 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ l1\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_yellow21 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ g1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v2\_setfam\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~\\
(k6\_yellow21~X0))){\unicdbdjded}(((v3\_orders\_2~X1){\unicdcdcdhd}((v4\_orders\_2~X1){\unicdcdcdhd}((\\
v5\_orders\_2~X1){\unicdcdcdhd}((v1\_lattice3~X1){\unicdcdcdhd}((v2\_lattice3~X1){\unicdcdcdhd}((v3\_lattice3~\\
X1){\unicdcdcdhd}(l1\_orders\_2~X1))))))){\unicdcdcdhd}(X1 \in k2\_yellow21~X0)))\end{array}
\label{hyp:ehbdddpfjhfgmgmgpghhcdbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{l1\_orders\_2}~{X0}})}{\unicdbdjdcd}{({{l1\_struct\_0}~{X0}})}}}\label{hyp:egehpfmgbdpfpgchegfgchdhpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (X1=k2\_yellow21~X0){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X1){\unicdbdjded}\\
(((v1\_orders\_2~X2){\unicdcdcdhd}((v3\_orders\_2~X2){\unicdcdcdhd}((v4\_orders\_2~X2){\unicdcdcdhd}((v5\_orders\_2~\\
X2){\unicdcdcdhd}(l1\_orders\_2~X2))))){\unicdcdcdhd}(u1\_struct\_0~(k1\_yellow21~X2) \in X0)))\end{array}
\label{hyp:egcdpfjhfgmgmgpghhcdbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((l1\_struct\_0~X0){\unicdbdjdcd}(k1\_yellow21~X0=X0)){\unicdcdcdhd}((\preoh l1\_struct\_0~\\
X0){\unicdbdjdcd}(k1\_yellow21~X0=g1\_struct\_0~X0))\end{array}
\label{hyp:egbdpfjhfgmgmgpghhcdbd}
\end{equation}
\begin{theorem}\label{thm:ehbdedpfjhfgmgmgpghhcdbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v2\_setfam\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v3\_orders\_2~X1){\unicdcdcdhd}\\
((v4\_orders\_2~X1){\unicdcdcdhd}((v5\_orders\_2~X1){\unicdcdcdhd}((v1\_lattice3~X1){\unicdcdcdhd}((v2\_lattice3~\\
X1){\unicdcdcdhd}(l1\_orders\_2~X1)))))){\unicdbdjdcd}((u1\_struct\_0~X1 \in X0){\unicdbdjdcd}((m1\_subset\_1~\\
X1~(u1\_struct\_0~(k6\_yellow21~X0))){\unicdbdjded}((v1\_orders\_2~X1){\unicdcdcdhd}(v3\_lattice3~\\
X1)))))\end{array}$$
\end{theorem}
\end{document}
