\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}
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\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}
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\begin{document}
\title{t16\_radix\_1 (TMWFHLH7WzrYmA7ZrxZSPf8gqvy4C5h8EnL)}
\maketitle
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_card\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_radix\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k4\_radix\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k4\_numbers : {\iota}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v7\_ordinal1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(v7\_ordinal1~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v3\_card\_1~X3~X1){\unicdcdcdhd}(m2\_finseq\_1~\\
X3~(k3\_radix\_1~X2))){\unicdbdjdcd}((X0 \in k2\_finseq\_1~X1){\unicdbdjdcd}(m2\_subset\_1~(k1\_funct\_1~\\
X3~X0)~k4\_numbers~(k3\_radix\_1~X2))))))\end{array}
\label{hyp:ehbdfdpfchbgegjgihpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v7\_ordinal1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(v7\_ordinal1~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v3\_card\_1~X3~X2){\unicdcdcdhd}(m2\_finseq\_1~\\
X3~(k3\_radix\_1~X1))){\unicdbdjdcd}(((X0 \in k2\_finseq\_1~X2){\unicdbdjdcd}(k4\_radix\_1~X0~X1~\\
X2~X3=k1\_funct\_1~X3~X0)){\unicdcdcdhd}((X0=k6\_numbers){\unicdbdjdcd}(k4\_radix\_1~X0~X1~X2~\\
X3=k6\_numbers))))))\end{array}
\label{hyp:egddpfchbgegjgihpfbd}
\end{equation}
\begin{theorem}\label{thm:ehbdgdpfchbgegjgihpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v7\_ordinal1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(v7\_ordinal1~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v3\_card\_1~X3~X1){\unicdcdcdhd}(m2\_finseq\_1~\\
X3~(k3\_radix\_1~X2))){\unicdbdjdcd}((X0 \in k2\_finseq\_1~X1){\unicdbdjdcd}(m2\_subset\_1~(k4\_radix\_1~\\
X0~X2~X1~X3)~k4\_numbers~(k3\_radix\_1~X2))))))\end{array}$$
\end{theorem}
\end{document}
