\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}
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\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t4\_card\_fil (TMVbHDpK4effeUBT4GvsHPtBscBZ4kombYX)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_card\_fil : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ k9\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}(((\preoh v1\_xboole\_0~(k1\_tarski~X0)){\unicdcdcdhd}\\
(m1\_subset\_1~(k1\_tarski~X0)~(k1\_zfmisc\_1~(k1\_zfmisc\_1~X0)))){\unicdcdcdhd}\\
((\preoh k1\_xboole\_0 \in k1\_tarski~X0){\unicdcdcdhd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(k1\_zfmisc\_1~X0)){\unicdbdjdcd}((((X1 \in k1\_tarski~\\
X0){\unicdcdcdhd}(X2 \in k1\_tarski~X0)){\unicdbdjdcd}(k9\_subset\_1~X0~X1~X2 \in k1\_tarski~X0)){\unicdcdcdhd}\\
(((X1 \in k1\_tarski~X0){\unicdcdcdhd}(r1\_tarski~X1~X2)){\unicdbdjdcd}(X2 \in k1\_tarski~X0)))))))\end{array}
\label{hyp:ehcdpfdgbgchegpfggjgmg}
\end{equation}
Assume the following.
\begin{equation}
{{k6\_numbers}={k1\_xboole\_0}}\label{hyp:chfgegfgggjgogjgehjgpgogpflggdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~X0)))){\unicdbdjdcd}((m1\_card\_fil~\\
X1~X0){\unicdbdjded}((\preoh k1\_xboole\_0 \in X1){\unicdcdcdhd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(k1\_zfmisc\_1~\\
X0)){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(k1\_zfmisc\_1~X0)){\unicdbdjdcd}((((X2 \in X1){\unicdcdcdhd}\\
(X3 \in X1)){\unicdbdjdcd}(k9\_subset\_1~X0~X2~X3 \in X1)){\unicdcdcdhd}(((X2 \in X1){\unicdcdcdhd}(r1\_tarski~X2~\\
X3)){\unicdbdjdcd}(X3 \in X1))))))))\end{array}
\label{hyp:egbdpfdgbgchegpfggjgmg}
\end{equation}
\begin{theorem}\label{thm:ehedpfdgbgchegpfggjgmg}
${{\unicdcdadad} X0 .  {{({\preoh{{{v1\_xboole\_0}~{X0}}}})}{\unicdbdjdcd}{({{{m1\_card\_fil}~{({{k1\_tarski}~{X0}})}}~{X0}})}}}$.
\end{theorem}
\end{document}
