\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{t28\_lattice8 (TMdsTj5Brg8y86LZ9jPfxqB7xwS4zQ1FcFX)}
\maketitle
Let $ v1\_xboole\_0 : {{\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\_yellow\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_lattice3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_lattice3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_yellow11 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ 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 $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_lattice5 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v2\_lattice5 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v3\_lattice5 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\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 $ v3\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_lattice5 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ r1\_ordinal1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k7\_lattice5 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k6\_lattice8 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}$ be given.
Let $ k3\_lattice8 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v3\_orders\_2~X1){\unicdcdcdhd}\\
((v4\_orders\_2~X1){\unicdcdcdhd}((v5\_orders\_2~X1){\unicdcdcdhd}((v1\_yellow\_0~X1){\unicdcdcdhd}((v1\_lattice3~\\
X1){\unicdcdcdhd}((v2\_lattice3~X1){\unicdcdcdhd}(l1\_orders\_2~X1))))))){\unicdbdjdcd}((v1\_yellow11~\\
X1){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_funct\_1~X2){\unicdcdcdhd}((v1\_funct\_2~X2~(k2\_zfmisc\_1~\\
X0~X0)~(u1\_struct\_0~X1)){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(k2\_zfmisc\_1~X0~X0)~(u1\_struct\_0~X1)))))){\unicdbdjdcd}(((v1\_lattice5~X2~X0~\\
X1){\unicdcdcdhd}(v3\_lattice5~X2~X0~X1)){\unicdbdjdcd}({\unicdcdadad} X3 .  (v3\_ordinal1~X3){\unicdbdjdcd}({\unicdcdadad} X4 .  \\
(m1\_lattice5~X4~X0~X1~X2){\unicdbdjdcd}((r1\_ordinal1~X3~(k7\_lattice5~X0~X1~X2)){\unicdbdjdcd}\\
(v3\_lattice5~(k6\_lattice8~X0~X1~X2~X4~X3)~(k3\_lattice8~X0~X3)~X1))))))))\end{array}
\label{hyp:ehcdhdpfmgbgehehjgdgfgid}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v3\_orders\_2~X1){\unicdcdcdhd}\\
((v4\_orders\_2~X1){\unicdcdcdhd}((v5\_orders\_2~X1){\unicdcdcdhd}((v1\_yellow\_0~X1){\unicdcdcdhd}((v1\_lattice3~\\
X1){\unicdcdcdhd}((v2\_lattice3~X1){\unicdcdcdhd}(l1\_orders\_2~X1))))))){\unicdbdjdcd}({\unicdcdadad} X2 .  (\\
(v1\_funct\_1~X2){\unicdcdcdhd}((v1\_funct\_2~X2~(k2\_zfmisc\_1~X0~X0)~(u1\_struct\_0~\\
X1)){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_zfmisc\_1~\\
X0~X0)~(u1\_struct\_0~X1)))))){\unicdbdjdcd}((v1\_lattice5~X2~X0~X1){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
(m1\_lattice5~X3~X0~X1~X2){\unicdbdjdcd}({\unicdcdadad} X4 .  (v3\_ordinal1~X4){\unicdbdjdcd}(v1\_lattice5~\\
(k6\_lattice8~X0~X1~X2~X3~X4)~(k3\_lattice8~X0~X4)~X1))))))\end{array}
\label{hyp:ehcdgdpfmgbgehehjgdgfgid}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v3\_orders\_2~X1){\unicdcdcdhd}\\
((v4\_orders\_2~X1){\unicdcdcdhd}((v5\_orders\_2~X1){\unicdcdcdhd}((v1\_yellow\_0~X1){\unicdcdcdhd}((v1\_lattice3~\\
X1){\unicdcdcdhd}((v2\_lattice3~X1){\unicdcdcdhd}(l1\_orders\_2~X1))))))){\unicdbdjdcd}({\unicdcdadad} X2 .  (\\
(v1\_funct\_1~X2){\unicdcdcdhd}((v1\_funct\_2~X2~(k2\_zfmisc\_1~X0~X0)~(u1\_struct\_0~\\
X1)){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_zfmisc\_1~\\
X0~X0)~(u1\_struct\_0~X1)))))){\unicdbdjdcd}((v2\_lattice5~X2~X0~X1){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
(m1\_lattice5~X3~X0~X1~X2){\unicdbdjdcd}({\unicdcdadad} X4 .  (v3\_ordinal1~X4){\unicdbdjdcd}(v2\_lattice5~\\
(k6\_lattice8~X0~X1~X2~X3~X4)~(k3\_lattice8~X0~X4)~X1))))))\end{array}
\label{hyp:ehcdfdpfmgbgehehjgdgfgid}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  ((\preoh v1\_xboole\_0~\\
X0){\unicdcdcdhd}(((v3\_orders\_2~X1){\unicdcdcdhd}((v4\_orders\_2~X1){\unicdcdcdhd}((v5\_orders\_2~X1){\unicdcdcdhd}\\
((v1\_yellow\_0~X1){\unicdcdcdhd}((v1\_lattice3~X1){\unicdcdcdhd}((v2\_lattice3~X1){\unicdcdcdhd}(l1\_orders\_2~\\
X1))))))){\unicdcdcdhd}(((v1\_funct\_1~X2){\unicdcdcdhd}((v1\_funct\_2~X2~(k2\_zfmisc\_1~X0~\\
X0)~(u1\_struct\_0~X1)){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(k2\_zfmisc\_1~X0~X0)~(u1\_struct\_0~X1)))))){\unicdcdcdhd}((m1\_lattice5~X3~X0~\\
X1~X2){\unicdcdcdhd}(v3\_ordinal1~X4))))){\unicdbdjdcd}((v1\_funct\_1~(k6\_lattice8~X0~X1~X2~\\
X3~X4)){\unicdcdcdhd}((v1\_funct\_2~(k6\_lattice8~X0~X1~X2~X3~X4)~(k2\_zfmisc\_1~(\\
k3\_lattice8~X0~X4)~(k3\_lattice8~X0~X4))~(u1\_struct\_0~X1)){\unicdcdcdhd}(m1\_subset\_1~\\
(k6\_lattice8~X0~X1~X2~X3~X4)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_zfmisc\_1~\\
(k3\_lattice8~X0~X4)~(k3\_lattice8~X0~X4))~(u1\_struct\_0~X1))))))\end{array}
\label{hyp:egehpflggdpfmgbgehehjgdgfgid}
\end{equation}
\begin{theorem}\label{thm:ehcdidpfmgbgehehjgdgfgid}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v3\_orders\_2~X1){\unicdcdcdhd}\\
((v4\_orders\_2~X1){\unicdcdcdhd}((v5\_orders\_2~X1){\unicdcdcdhd}((v1\_yellow\_0~X1){\unicdcdcdhd}((v1\_lattice3~\\
X1){\unicdcdcdhd}((v2\_lattice3~X1){\unicdcdcdhd}((v1\_yellow11~X1){\unicdcdcdhd}(l1\_orders\_2~X1)))))))){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  ((v1\_funct\_1~X2){\unicdcdcdhd}((v1\_funct\_2~X2~(k2\_zfmisc\_1~X0~\\
X0)~(u1\_struct\_0~X1)){\unicdcdcdhd}((v1\_lattice5~X2~X0~X1){\unicdcdcdhd}((v2\_lattice5~X2~\\
X0~X1){\unicdcdcdhd}((v3\_lattice5~X2~X0~X1){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(k2\_zfmisc\_1~X0~X0)~(u1\_struct\_0~X1))))))))){\unicdbdjdcd}({\unicdcdadad} X3 .  (v3\_ordinal1~\\
X3){\unicdbdjdcd}({\unicdcdadad} X4 .  (m1\_lattice5~X4~X0~X1~X2){\unicdbdjdcd}((r1\_ordinal1~X3~(k7\_lattice5~\\
X0~X1~X2)){\unicdbdjdcd}((v1\_funct\_1~(k6\_lattice8~X0~X1~X2~X4~X3)){\unicdcdcdhd}((v1\_funct\_2~\\
(k6\_lattice8~X0~X1~X2~X4~X3)~(k2\_zfmisc\_1~(k3\_lattice8~X0~X3)~(k3\_lattice8~\\
X0~X3))~(u1\_struct\_0~X1)){\unicdcdcdhd}((v1\_lattice5~(k6\_lattice8~X0~X1~X2~X4~\\
X3)~(k3\_lattice8~X0~X3)~X1){\unicdcdcdhd}((v2\_lattice5~(k6\_lattice8~X0~X1~X2~\\
X4~X3)~(k3\_lattice8~X0~X3)~X1){\unicdcdcdhd}((v3\_lattice5~(k6\_lattice8~X0~X1~\\
X2~X4~X3)~(k3\_lattice8~X0~X3)~X1){\unicdcdcdhd}(m1\_subset\_1~(k6\_lattice8~X0~X1~\\
X2~X4~X3)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_zfmisc\_1~(k3\_lattice8~\\
X0~X3)~(k3\_lattice8~X0~X3))~(u1\_struct\_0~X1))))))))))))))\end{array}$$
\end{theorem}
\end{document}
