\documentclass{article}
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\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{t15\_radix\_5 (TMHddrbXUCm8jXWEzNko569Y2WgbmNTpn7t)}
\maketitle
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ np\_\_2 : {\iota}$ 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 $ k4\_radix\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ k2\_xcmplx\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k8\_radix\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k10\_radix\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ k4\_ordinal1 : {\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}((X0 \in k2\_finseq\_1~X2){\unicdbdjdcd}(k4\_radix\_1~X0~X1~X2~(k10\_radix\_1~\\
X1~X2~k6\_numbers)=k6\_numbers))))\end{array}
\label{hyp:ehfdpfchbgegjgihpffd}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{k1\_xboole\_0}}~{k4\_ordinal1}}\label{hyp:ehbdpfogfhngfgchbgmgdh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}((r1\_xxreal\_0~np\_\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(v7\_ordinal1~X1){\unicdbdjdcd}((r1\_xxreal\_0~np\_\_2~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v3\_card\_1~\\
X2~X0){\unicdcdcdhd}(m2\_finseq\_1~X2~(k3\_radix\_1~X1))){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v3\_card\_1~\\
X3~X0){\unicdcdcdhd}(m2\_finseq\_1~X3~(k3\_radix\_1~X1))){\unicdbdjdcd}({\unicdcdadad} X4 .  ((v3\_card\_1~\\
X4~X0){\unicdcdcdhd}(m2\_finseq\_1~X4~(k3\_radix\_1~X1))){\unicdbdjdcd}({\unicdcdadad} X5 .  ((v3\_card\_1~\\
X5~X0){\unicdcdcdhd}(m2\_finseq\_1~X5~(k3\_radix\_1~X1))){\unicdbdjdcd}(({\unicdcdadad} X6 .  (v7\_ordinal1~\\
X6){\unicdbdjdcd}(\preoh (X6 \in k2\_finseq\_1~X0){\unicdcdcdhd}((\preoh (k4\_radix\_1~X6~X1~X0~X2=k4\_radix\_1~\\
X6~X1~X0~X4){\unicdcdcdhd}(k4\_radix\_1~X6~X1~X0~X3=k4\_radix\_1~X6~X1~X0~X5)){\unicdcdcdhd}(\preoh (k4\_radix\_1~\\
X6~X1~X0~X3=k4\_radix\_1~X6~X1~X0~X4){\unicdcdcdhd}(k4\_radix\_1~X6~X1~X0~X2=k4\_radix\_1~\\
X6~X1~X0~X5))))){\unicdbdjdcd}(k2\_xcmplx\_0~(k8\_radix\_1~X0~X1~X4)~(k8\_radix\_1~\\
X0~X1~X5)=k2\_xcmplx\_0~(k8\_radix\_1~X0~X1~X2)~(k8\_radix\_1~X0~X1~X3))))))))))\end{array}
\label{hyp:ehbdedpfchbgegjgihpffd}
\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 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((v7\_ordinal1~X0){\unicdcdcdhd}((v7\_ordinal1~\\
X1){\unicdcdcdhd}(v7\_ordinal1~X2))){\unicdbdjdcd}((v3\_card\_1~(k10\_radix\_1~X0~X1~X2)~X1){\unicdcdcdhd}\\
(m2\_finseq\_1~(k10\_radix\_1~X0~X1~X2)~(k3\_radix\_1~X0)))\end{array}
\label{hyp:egehpflgbdadpfchbgegjgihpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{{m1\_subset\_1}~{X0}}~{k4\_ordinal1}})}{\unicdbdjdcd}{({{v7\_ordinal1}~{X0}})}}}\label{hyp:dgdgidpfpgchegjgogbgmgbd}
\end{equation}
\begin{theorem}\label{thm:ehbdfdpfchbgegjgihpffd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v7\_ordinal1~X1){\unicdbdjdcd}((\\
(r1\_xxreal\_0~np\_\_1~X0){\unicdcdcdhd}(r1\_xxreal\_0~np\_\_2~X1)){\unicdbdjdcd}({\unicdcdadad} X2 .  (\\
(v3\_card\_1~X2~X0){\unicdcdcdhd}(m2\_finseq\_1~X2~(k3\_radix\_1~X1))){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
((v3\_card\_1~X3~X0){\unicdcdcdhd}(m2\_finseq\_1~X3~(k3\_radix\_1~X1))){\unicdbdjdcd}({\unicdcdadad} X4 .  \\
((v3\_card\_1~X4~X0){\unicdcdcdhd}(m2\_finseq\_1~X4~(k3\_radix\_1~X1))){\unicdbdjdcd}(({\unicdcdadad} X5 .  \\
(v7\_ordinal1~X5){\unicdbdjdcd}(\preoh (X5 \in k2\_finseq\_1~X0){\unicdcdcdhd}((\preoh (k4\_radix\_1~X5~X1~\\
X0~X2=k4\_radix\_1~X5~X1~X0~X4){\unicdcdcdhd}(k4\_radix\_1~X5~X1~X0~X3=k6\_numbers)){\unicdcdcdhd}\\
(\preoh (k4\_radix\_1~X5~X1~X0~X3=k4\_radix\_1~X5~X1~X0~X4){\unicdcdcdhd}(k4\_radix\_1~X5~\\
X1~X0~X2=k6\_numbers))))){\unicdbdjdcd}(k2\_xcmplx\_0~(k8\_radix\_1~X0~X1~X4)~(k8\_radix\_1~\\
X0~X1~(k10\_radix\_1~X1~X0~k6\_numbers))=k2\_xcmplx\_0~(k8\_radix\_1~\\
X0~X1~X2)~(k8\_radix\_1~X0~X1~X3))))))))\end{array}$$
\end{theorem}
\end{document}
