\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\_wellfnd1 (TMY4PNYc6WU4vjm1QksRvhUvDcjowWtGygz)}
\maketitle
Let $ v1\_finset\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_card\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_card\_5 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_card\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_ordinal2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_card\_5 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v1\_card\_1~X1){\unicdbdjdcd}(((r1\_tarski~X0~X1){\unicdcdcdhd}(k1\_card\_1~\\
X0 \in k1\_card\_5~X1)){\unicdbdjdcd}((k3\_ordinal2~X0 \in X1){\unicdcdcdhd}(k3\_tarski~X0 \in X1)))\end{array}
\label{hyp:ehcdgdpfdgbgchegpffd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_finset\_1~X0){\unicdcdcdhd}(v1\_card\_1~X0)){\unicdbdjdcd}((v1\_card\_5~X0){\unicdbdjded}\\
(k1\_card\_5~X0=X0))\end{array}
\label{hyp:egddpfdgbgchegpffd}
\end{equation}
\begin{theorem}\label{thm:ehcdpfhhfgmgmgggogegbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_finset\_1~X0){\unicdcdcdhd}((v1\_card\_1~X0){\unicdcdcdhd}(v1\_card\_5~X0))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  ((r1\_tarski~X1~X0){\unicdcdcdhd}(k1\_card\_1~X1 \in X0)){\unicdbdjdcd}(k3\_ordinal2~\\
X1 \in X0))\end{array}$$
\end{theorem}
\end{document}
