\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{t29\_card\_lar (TMciPaVCz4aAPMfUSJB47AKRxrnYsS3EqeU)}
\maketitle
Let $ v1\_finset\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_card\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_card\_3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_card\_lar : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_card\_fil : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_card\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_card\_5 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_finset\_1~X0){\unicdcdcdhd}((v1\_card\_1~X0){\unicdcdcdhd}(\preoh v4\_card\_3~X0))){\unicdbdjdcd}\\
((v4\_card\_lar~X0){\unicdbdjdcd}(v2\_card\_1~X0))\end{array}
\label{hyp:ehcdidpfdgbgchegpfmgbgch}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_finset\_1~X0){\unicdcdcdhd}((v1\_card\_1~X0){\unicdcdcdhd}(\preoh v4\_card\_3~X0))){\unicdbdjdcd}\\
((v4\_card\_lar~X0){\unicdbdjdcd}(v1\_card\_5~X0))\end{array}
\label{hyp:ehcdhdpfdgbgchegpfmgbgch}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_finset\_1~X0){\unicdcdcdhd}(v1\_card\_1~X0)){\unicdbdjdcd}((v4\_card\_fil~\\
X0){\unicdbdjded}((v1\_card\_5~X0){\unicdcdcdhd}(v2\_card\_1~X0)))\end{array}
\label{hyp:egbdddpfdgbgchegpfggjgmg}
\end{equation}
\begin{theorem}\label{thm:ehcdjdpfdgbgchegpfmgbgch}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_finset\_1~X0){\unicdcdcdhd}((v1\_card\_1~X0){\unicdcdcdhd}(\preoh v4\_card\_3~X0))){\unicdbdjdcd}\\
((v4\_card\_lar~X0){\unicdbdjdcd}(v4\_card\_fil~X0))\end{array}$$
\end{theorem}
\end{document}
