\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{t122\_zmodul01 (TMMyjCW6H49iecPqXmvmGFj9sNZ9wCSpp4u)}
\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 $ v1\_zmodul01 : {{\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 $ k8\_zmodul01 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m1\_zmodul01 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ 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}(m1\_zmodul01~X0~X0)\end{array}
\label{hyp:ehddcdpfkhngpgegfhmgadbd}
\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 .  (X1=k8\_zmodul01~X0){\unicdbdjded}({\unicdcdadad} X2 .  (\\
X2 \in X1){\unicdbdjded}((v1\_zmodul01~X2){\unicdcdcdhd}(m1\_zmodul01~X2~X0))))\end{array}
\label{hyp:egbdgdpfkhngpgegfhmgadbd}
\end{equation}
\begin{theorem}\label{thm:ehbdcdcdpfkhngpgegfhmgadbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v13\_algstr\_0~X0){\unicdcdcdhd}((v2\_rlvect\_1~\\
X0){\unicdcdcdhd}((v3\_rlvect\_1~X0){\unicdcdcdhd}((v4\_rlvect\_1~X0){\unicdcdcdhd}((v1\_zmodul01~X0){\unicdcdcdhd}\\
((v2\_zmodul01~X0){\unicdcdcdhd}((v3\_zmodul01~X0){\unicdcdcdhd}((v4\_zmodul01~X0){\unicdcdcdhd}((v5\_zmodul01~\\
X0){\unicdcdcdhd}(l1\_zmodul01~X0))))))))))){\unicdbdjdcd}(X0 \in k8\_zmodul01~X0)\end{array}$$
\end{theorem}
\end{document}
