\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{t64\_zmodul01 (TMRMFBSvnphw4Wf9qEmFD27GDqG16NFJwe8)}
\maketitle
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v13\_algstr\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_rlvect\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_rlvect\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_rlvect\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_zmodul01 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_zmodul01 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_zmodul01 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_zmodul01 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_zmodul01 : {{\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\_int\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_zmodul01 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_struct\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k5\_zmodul01 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k1\_zmodul01 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v13\_algstr\_0~X0){\unicdcdcdhd}((v2\_rlvect\_1~\\
X0){\unicdcdcdhd}((v3\_rlvect\_1~X0){\unicdcdcdhd}((v4\_rlvect\_1~X0){\unicdcdcdhd}((v2\_zmodul01~X0){\unicdcdcdhd}\\
((v3\_zmodul01~X0){\unicdcdcdhd}((v4\_zmodul01~X0){\unicdcdcdhd}((v5\_zmodul01~X0){\unicdcdcdhd}(l1\_zmodul01~\\
X0)))))))))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~X0)){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  (v1\_int\_1~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_zmodul01~X3~X0){\unicdbdjdcd}((\\
r1\_struct\_0~X3~X1){\unicdbdjdcd}(r1\_struct\_0~X3~(k1\_zmodul01~X0~X1~X2))))))\end{array}
\label{hyp:ehddhdpfkhngpgegfhmgadbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v13\_algstr\_0~X0){\unicdcdcdhd}((v2\_rlvect\_1~\\
X0){\unicdcdcdhd}((v3\_rlvect\_1~X0){\unicdcdcdhd}((v4\_rlvect\_1~X0){\unicdcdcdhd}((v2\_zmodul01~X0){\unicdcdcdhd}\\
((v3\_zmodul01~X0){\unicdcdcdhd}((v4\_zmodul01~X0){\unicdcdcdhd}((v5\_zmodul01~X0){\unicdcdcdhd}(l1\_zmodul01~\\
X0)))))))))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~X0)){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  (m1\_zmodul01~X2~X0){\unicdbdjdcd}((r1\_struct\_0~X2~X1){\unicdbdjded}(k5\_zmodul01~\\
X0~X1~X2=u1\_struct\_0~X2))))\end{array}
\label{hyp:mghdidpfkhngpgegfhmgadbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_zmodul01~\\
X0)){\unicdcdcdhd}((m1\_subset\_1~X1~(u1\_struct\_0~X0)){\unicdcdcdhd}(v1\_int\_1~X2))){\unicdbdjdcd}(m1\_subset\_1~\\
(k1\_zmodul01~X0~X1~X2)~(u1\_struct\_0~X0))\end{array}
\label{hyp:egehpflgbdpfkhngpgegfhmgadbd}
\end{equation}
\begin{theorem}\label{thm:ehgdedpfkhngpgegfhmgadbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v13\_algstr\_0~X0){\unicdcdcdhd}((v2\_rlvect\_1~\\
X0){\unicdcdcdhd}((v3\_rlvect\_1~X0){\unicdcdcdhd}((v4\_rlvect\_1~X0){\unicdcdcdhd}((v2\_zmodul01~X0){\unicdcdcdhd}\\
((v3\_zmodul01~X0){\unicdcdcdhd}((v4\_zmodul01~X0){\unicdcdcdhd}((v5\_zmodul01~X0){\unicdcdcdhd}(l1\_zmodul01~\\
X0)))))))))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~X0)){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  (v1\_int\_1~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_zmodul01~X3~X0){\unicdbdjdcd}((\\
r1\_struct\_0~X3~X1){\unicdbdjdcd}(k5\_zmodul01~X0~(k1\_zmodul01~X0~X1~X2)~X3=u1\_struct\_0~\\
X3)))))\end{array}$$
\end{theorem}
\end{document}
