\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{t16\_radix\_6 (TMH2pfS8xJeggfmqQvFkENYjfwFxSZNZ9o3)}
\maketitle
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_card\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_xcmplx\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_radix\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k8\_radix\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k2\_radix\_6 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k4\_radix\_6 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k6\_radix\_6 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v7\_ordinal1~X1){\unicdbdjdcd}((\\
r1\_xxreal\_0~np\_\_2~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v3\_card\_1~X2~(k2\_xcmplx\_0~\\
X0~np\_\_2)){\unicdcdcdhd}(m2\_finseq\_1~X2~(k3\_radix\_1~X1))){\unicdbdjdcd}(r1\_xxreal\_0~(k8\_radix\_1~\\
(k2\_xcmplx\_0~X0~np\_\_2)~X1~(k6\_radix\_6~X0~X1~X2))~(k8\_radix\_1~(k2\_xcmplx\_0~\\
X0~np\_\_2)~X1~X2)))))\end{array}
\label{hyp:ehedpfchbgegjgihpfgd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v7\_ordinal1~X1){\unicdbdjdcd}((\\
r1\_xxreal\_0~np\_\_2~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v3\_card\_1~X2~(k2\_xcmplx\_0~\\
X0~np\_\_2)){\unicdcdcdhd}(m2\_finseq\_1~X2~(k3\_radix\_1~X1))){\unicdbdjdcd}(r1\_xxreal\_0~(k8\_radix\_1~\\
(k2\_xcmplx\_0~X0~np\_\_2)~X1~X2)~(k8\_radix\_1~(k2\_xcmplx\_0~X0~np\_\_2)~\\
X1~(k4\_radix\_6~X0~X1~X2))))))\end{array}
\label{hyp:ehddpfchbgegjgihpfgd}
\end{equation}
\begin{theorem}\label{thm:ehbdgdpfchbgegjgihpfgd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v7\_ordinal1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
((v3\_card\_1~X2~(k2\_xcmplx\_0~X0~np\_\_2)){\unicdcdcdhd}(m2\_finseq\_1~X2~(k3\_radix\_1~\\
X1))){\unicdbdjdcd}(\preoh (r1\_xxreal\_0~np\_\_2~X1){\unicdcdcdhd}((\preoh (r1\_xxreal\_0~(k8\_radix\_1~\\
(k2\_xcmplx\_0~X0~np\_\_2)~X1~(k2\_radix\_6~X0~X1~X2))~(k8\_radix\_1~(k2\_xcmplx\_0~\\
X0~np\_\_2)~X1~X2)){\unicdcdcdhd}(r1\_xxreal\_0~(k8\_radix\_1~(k2\_xcmplx\_0~X0~np\_\_2)~\\
X1~X2)~(k8\_radix\_1~(k2\_xcmplx\_0~X0~np\_\_2)~X1~(k4\_radix\_6~X0~X1~X2)))){\unicdcdcdhd}\\
(\preoh (r1\_xxreal\_0~(k8\_radix\_1~(k2\_xcmplx\_0~X0~np\_\_2)~X1~(k6\_radix\_6~\\
X0~X1~X2))~(k8\_radix\_1~(k2\_xcmplx\_0~X0~np\_\_2)~X1~X2)){\unicdcdcdhd}(\preoh r1\_xxreal\_0~\\
(k8\_radix\_1~(k2\_xcmplx\_0~X0~np\_\_2)~X1~(k2\_radix\_6~X0~X1~X2))~(k8\_radix\_1~\\
(k2\_xcmplx\_0~X0~np\_\_2)~X1~X2)))))))\end{array}$$
\end{theorem}
\end{document}
