\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{t25\_card\_lar (TMMtTUWNGBrLug5xQwkeKv8DfioHArxjGWY)}
\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 $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_ordinal1 : {\iota}$ be given.
Let $ k1\_card\_5 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_card\_lar : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_card\_lar : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v3\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_ordinal1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v3\_ordinal1~X0){\unicdcdcdhd}((v4\_ordinal1~X0){\unicdcdcdhd}(\preoh v1\_finset\_1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~X0)){\unicdbdjdcd}((v1\_card\_lar~\\
X1~X0){\unicdbdjded}({\unicdcdadad} X2 .  (v3\_ordinal1~X2){\unicdbdjdcd}(\preoh (X2 \in X0){\unicdcdcdhd}({\unicdcdadad} X3 .  (\\
v3\_ordinal1~X3){\unicdbdjdcd}(\preoh (X3 \in X1){\unicdcdcdhd}(r1\_ordinal1~X2~X3)))))))\end{array}
\label{hyp:ehgdpfdgbgchegpfmgbgch}
\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}\\
({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~X0)){\unicdbdjdcd}(((k4\_ordinal1 \in \\
k1\_card\_5~X0){\unicdcdcdhd}(v1\_card\_lar~X1~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (v3\_ordinal1~\\
X2){\unicdbdjdcd}(\preoh (X2 \in X0){\unicdcdcdhd}({\unicdcdadad} X3 .  ((v3\_ordinal1~X3){\unicdcdcdhd}((v4\_ordinal1~\\
X3){\unicdcdcdhd}(\preoh v1\_finset\_1~X3))){\unicdbdjdcd}(\preoh (X3 \in X0){\unicdcdcdhd}((X2 \in X3){\unicdcdcdhd}(X3 \in k2\_card\_lar~\\
X0~X1))))))))\end{array}
\label{hyp:ehcdedpfdgbgchegpfmgbgch}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v3\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v3\_ordinal1~X1){\unicdbdjdcd}((\\
r1\_ordinal1~X0~X1){\unicdcdcdid}(X1 \in X0)))\end{array}
\label{hyp:ehbdgdpfpgchegjgogbgmgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v3\_ordinal1~X0){\unicdcdcdhd}((v4\_ordinal1~X0){\unicdcdcdhd}\\
(\preoh v1\_finset\_1~X0))){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~X0))){\unicdbdjdcd}(m1\_subset\_1~\\
(k2\_card\_lar~X0~X1)~(k1\_zfmisc\_1~X0))\end{array}
\label{hyp:egehpflgcdpfdgbgchegpfmgbgch}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_finset\_1~X0){\unicdcdcdhd}(v1\_card\_1~X0)){\unicdbdjdcd}((v4\_ordinal1~\\
X0){\unicdcdcdhd}(v1\_card\_1~X0))\end{array}
\label{hyp:dgdgbdpfdgbgchegpfcd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_card\_1}~{X0}})}{\unicdbdjdcd}{({{v3\_ordinal1}~{X0}})}}}\label{hyp:dgdgbdpfdgbgchegpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{X0} \in {X1}})}{\unicdbdjdcd}{({\preoh{{{X1} \in {X0}}}})}}}}\label{hyp:bgogehjgdhjhngngfgehchjhpfchcdpfigjgegegfgog}
\end{equation}
\begin{theorem}\label{thm:ehcdfdpfdgbgchegpfmgbgch}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_finset\_1~X0){\unicdcdcdhd}((v1\_card\_1~X0){\unicdcdcdhd}(\preoh v4\_card\_3~X0))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~X0)){\unicdbdjdcd}(((k4\_ordinal1 \in \\
k1\_card\_5~X0){\unicdcdcdhd}(v1\_card\_lar~X1~X0)){\unicdbdjdcd}(v1\_card\_lar~(k2\_card\_lar~\\
X0~X1)~X0)))\end{array}$$
\end{theorem}
\end{document}
