\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{t1\_waybel\_5 (TMM7TtMCD9HAfM7F4G3LCSBXu5nssCecPy9)}
\maketitle
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 $ v2\_lattice3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v24\_waybel\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_waybel\_3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_waybel\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_waybel\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v12\_waybel\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r3\_orders\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k1\_yellow\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v3\_orders\_2~X0){\unicdcdcdhd}((v4\_orders\_2~X0){\unicdcdcdhd}((v5\_orders\_2~\\
X0){\unicdcdcdhd}((v2\_lattice3~X0){\unicdcdcdhd}((v24\_waybel\_0~X0){\unicdcdcdhd}(l1\_orders\_2~X0)))))){\unicdbdjdcd}\\
(({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~X0)){\unicdbdjdcd}(((\preoh v1\_xboole\_0~\\
(k1\_waybel\_3~X0~X1)){\unicdcdcdhd}((v1\_waybel\_0~(k1\_waybel\_3~X0~X1)~X0){\unicdcdcdhd}((\\
v12\_waybel\_0~(k1\_waybel\_3~X0~X1)~X0){\unicdcdcdhd}(m1\_subset\_1~(k1\_waybel\_3~\\
X0~X1)~(k1\_zfmisc\_1~(u1\_struct\_0~X0)))))){\unicdcdcdhd}((r3\_orders\_2~X0~X1~\\
(k1\_yellow\_0~X0~(k1\_waybel\_3~X0~X1))){\unicdcdcdhd}({\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~\\
X2){\unicdcdcdhd}((v1\_waybel\_0~X2~X0){\unicdcdcdhd}((v12\_waybel\_0~X2~X0){\unicdcdcdhd}(m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(u1\_struct\_0~X0)))))){\unicdbdjdcd}((r3\_orders\_2~X0~X1~(k1\_yellow\_0~\\
X0~X2)){\unicdbdjdcd}(r1\_tarski~(k1\_waybel\_3~X0~X1)~X2)))))){\unicdbdjdcd}(v3\_waybel\_3~\\
X0))\end{array}
\label{hyp:mgcdpfhhbgjhcgfgmgpffd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v3\_orders\_2~X0){\unicdcdcdhd}((v4\_orders\_2~X0){\unicdcdcdhd}((v5\_orders\_2~\\
X0){\unicdcdcdhd}((v2\_lattice3~X0){\unicdcdcdhd}((v3\_waybel\_3~X0){\unicdcdcdhd}(l1\_orders\_2~X0)))))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~X0)){\unicdbdjdcd}(((\preoh v1\_xboole\_0~\\
(k1\_waybel\_3~X0~X1)){\unicdcdcdhd}((v1\_waybel\_0~(k1\_waybel\_3~X0~X1)~X0){\unicdcdcdhd}((\\
v12\_waybel\_0~(k1\_waybel\_3~X0~X1)~X0){\unicdcdcdhd}(m1\_subset\_1~(k1\_waybel\_3~\\
X0~X1)~(k1\_zfmisc\_1~(u1\_struct\_0~X0)))))){\unicdcdcdhd}((r3\_orders\_2~X0~X1~\\
(k1\_yellow\_0~X0~(k1\_waybel\_3~X0~X1))){\unicdcdcdhd}({\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~\\
X2){\unicdcdcdhd}((v1\_waybel\_0~X2~X0){\unicdcdcdhd}((v12\_waybel\_0~X2~X0){\unicdcdcdhd}(m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(u1\_struct\_0~X0)))))){\unicdbdjdcd}((r3\_orders\_2~X0~X1~(k1\_yellow\_0~\\
X0~X2)){\unicdbdjdcd}(r1\_tarski~(k1\_waybel\_3~X0~X1)~X2))))))\end{array}
\label{hyp:mgbdpfhhbgjhcgfgmgpffd}
\end{equation}
\begin{theorem}\label{thm:ehbdpfhhbgjhcgfgmgpffd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v3\_orders\_2~X0){\unicdcdcdhd}((v4\_orders\_2~X0){\unicdcdcdhd}((v5\_orders\_2~\\
X0){\unicdcdcdhd}((v2\_lattice3~X0){\unicdcdcdhd}((v24\_waybel\_0~X0){\unicdcdcdhd}(l1\_orders\_2~X0)))))){\unicdbdjdcd}\\
((v3\_waybel\_3~X0){\unicdbdjded}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~X0)){\unicdbdjdcd}\\
(((\preoh v1\_xboole\_0~(k1\_waybel\_3~X0~X1)){\unicdcdcdhd}((v1\_waybel\_0~(k1\_waybel\_3~\\
X0~X1)~X0){\unicdcdcdhd}((v12\_waybel\_0~(k1\_waybel\_3~X0~X1)~X0){\unicdcdcdhd}(m1\_subset\_1~\\
(k1\_waybel\_3~X0~X1)~(k1\_zfmisc\_1~(u1\_struct\_0~X0)))))){\unicdcdcdhd}((r3\_orders\_2~\\
X0~X1~(k1\_yellow\_0~X0~(k1\_waybel\_3~X0~X1))){\unicdcdcdhd}({\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~\\
X2){\unicdcdcdhd}((v1\_waybel\_0~X2~X0){\unicdcdcdhd}((v12\_waybel\_0~X2~X0){\unicdcdcdhd}(m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(u1\_struct\_0~X0)))))){\unicdbdjdcd}((r3\_orders\_2~X0~X1~(k1\_yellow\_0~\\
X0~X2)){\unicdbdjdcd}(r1\_tarski~(k1\_waybel\_3~X0~X1)~X2)))))))\end{array}$$
\end{theorem}
\end{document}
