\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{t17\_membered (TMWTxzy7516Tou8Mk7k5ewyvdChv6BeACM2)}
\maketitle
Let $ v5\_membered : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_int\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k4\_numbers : {\iota}$ be given.
Let $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ k1\_real\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v5\_membered}~{X0}})}{\unicdbdjded}{({{\unicdcdadad} X1 .  {{({{X1} \in {X0}})}{\unicdbdjdcd}{({{v1\_int\_1}~{X1}})}}})}}}\label{hyp:egfdpfngfgngcgfgchfgeg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_int\_1}~{X0}})}{\unicdbdjded}{({{X0} \in {k4\_numbers}})}}}\label{hyp:egcdpfjgogehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (X0=k4\_numbers){\unicdbdjded}({\unicdcdadad} X1 .  (X1 \in X0){\unicdbdjded}(\preoh {\unicdcdadad} X2 .  \\
(m2\_subset\_1~X2~k1\_numbers~k5\_numbers){\unicdbdjdcd}((X1{\unicdcdgdad}X2){\unicdcdcdhd}(X1{\unicdcdgdad}k1\_real\_1~\\
X2))))\end{array}
\label{hyp:egbdpfjgogehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehbdhdpfngfgngcgfgchfgeg}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v5\_membered~X0){\unicdbdjdcd}(({\unicdcdadad} X1 .  (v1\_int\_1~X1){\unicdbdjdcd}(X1 \in \\
X0)){\unicdbdjdcd}(X0=k4\_numbers))\end{array}$$
\end{theorem}
\end{document}
