\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{t2\_csspace3 (TMZc7zkkoXgnEx8u83dH95vmPB6yvY1h5Tr)}
\maketitle
Let $ l2\_clvect\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ g1\_clvect\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u2\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_algstr\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_clvect\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ 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\_clvect\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_clvect\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_clvect\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_clvect\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_clvect\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l2\_normsp\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_clvect\_1~X0){\unicdbdjdcd}(((\preoh v2\_struct\_0~(g1\_clvect\_1~(u1\_struct\_0~\\
X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~(u1\_clvect\_1~X0))){\unicdcdcdhd}((v13\_algstr\_0~\\
(g1\_clvect\_1~(u1\_struct\_0~X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~\\
(u1\_clvect\_1~X0))){\unicdcdcdhd}((v2\_rlvect\_1~(g1\_clvect\_1~(u1\_struct\_0~\\
X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~(u1\_clvect\_1~X0))){\unicdcdcdhd}((v3\_rlvect\_1~\\
(g1\_clvect\_1~(u1\_struct\_0~X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~\\
(u1\_clvect\_1~X0))){\unicdcdcdhd}((v4\_rlvect\_1~(g1\_clvect\_1~(u1\_struct\_0~\\
X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~(u1\_clvect\_1~X0))){\unicdcdcdhd}((v2\_clvect\_1~\\
(g1\_clvect\_1~(u1\_struct\_0~X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~\\
(u1\_clvect\_1~X0))){\unicdcdcdhd}((v3\_clvect\_1~(g1\_clvect\_1~(u1\_struct\_0~\\
X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~(u1\_clvect\_1~X0))){\unicdcdcdhd}((v4\_clvect\_1~\\
(g1\_clvect\_1~(u1\_struct\_0~X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~\\
(u1\_clvect\_1~X0))){\unicdcdcdhd}((v5\_clvect\_1~(g1\_clvect\_1~(u1\_struct\_0~\\
X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~(u1\_clvect\_1~X0))){\unicdcdcdhd}(l1\_clvect\_1~\\
(g1\_clvect\_1~(u1\_struct\_0~X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~\\
(u1\_clvect\_1~X0)))))))))))){\unicdbdjdcd}((\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\_clvect\_1~X0){\unicdcdcdhd}((v3\_clvect\_1~X0){\unicdcdcdhd}((v4\_clvect\_1~X0){\unicdcdcdhd}((v5\_clvect\_1~\\
X0){\unicdcdcdhd}(l1\_clvect\_1~X0)))))))))))\end{array}
\label{hyp:ehhdjdpfdgdhdhahbgdgfg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{l2\_clvect\_1}~{X0}})}{\unicdbdjdcd}{({{({{l1\_clvect\_1}~{X0}})}{\unicdcdcdhd}{({{l2\_normsp\_0}~{X0}})}})}}}\label{hyp:egehpfmgcdpfdgmgghfgdgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehcdpfdgdhdhahbgdgfgdd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (l2\_clvect\_1~X0){\unicdbdjdcd}(((\preoh v2\_struct\_0~(g1\_clvect\_1~(u1\_struct\_0~\\
X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~(u1\_clvect\_1~X0))){\unicdcdcdhd}((v13\_algstr\_0~\\
(g1\_clvect\_1~(u1\_struct\_0~X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~\\
(u1\_clvect\_1~X0))){\unicdcdcdhd}((v2\_rlvect\_1~(g1\_clvect\_1~(u1\_struct\_0~\\
X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~(u1\_clvect\_1~X0))){\unicdcdcdhd}((v3\_rlvect\_1~\\
(g1\_clvect\_1~(u1\_struct\_0~X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~\\
(u1\_clvect\_1~X0))){\unicdcdcdhd}((v4\_rlvect\_1~(g1\_clvect\_1~(u1\_struct\_0~\\
X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~(u1\_clvect\_1~X0))){\unicdcdcdhd}((v2\_clvect\_1~\\
(g1\_clvect\_1~(u1\_struct\_0~X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~\\
(u1\_clvect\_1~X0))){\unicdcdcdhd}((v3\_clvect\_1~(g1\_clvect\_1~(u1\_struct\_0~\\
X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~(u1\_clvect\_1~X0))){\unicdcdcdhd}((v4\_clvect\_1~\\
(g1\_clvect\_1~(u1\_struct\_0~X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~\\
(u1\_clvect\_1~X0))){\unicdcdcdhd}((v5\_clvect\_1~(g1\_clvect\_1~(u1\_struct\_0~\\
X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~(u1\_clvect\_1~X0))){\unicdcdcdhd}(l1\_clvect\_1~\\
(g1\_clvect\_1~(u1\_struct\_0~X0)~(u2\_struct\_0~X0)~(u1\_algstr\_0~X0)~\\
(u1\_clvect\_1~X0)))))))))))){\unicdbdjdcd}((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v13\_algstr\_0~\\
X0){\unicdcdcdhd}((v2\_rlvect\_1~X0){\unicdcdcdhd}((v3\_rlvect\_1~X0){\unicdcdcdhd}((v4\_rlvect\_1~X0){\unicdcdcdhd}\\
((v2\_clvect\_1~X0){\unicdcdcdhd}((v3\_clvect\_1~X0){\unicdcdcdhd}((v4\_clvect\_1~X0){\unicdcdcdhd}((v5\_clvect\_1~\\
X0){\unicdcdcdhd}(l1\_clvect\_1~X0)))))))))))\end{array}$$
\end{theorem}
\end{document}
