\documentclass{article}
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\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{t36\_real\_3 (TMLhrVgGfU2soVADYi8FM3pueZxH3NPFE3R)}
\maketitle
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_xreal\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k3\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ k3\_real\_3 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_nat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ k1\_seq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k10\_real\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_int\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k5\_real\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_real\_3 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_xreal\_0~X0){\unicdbdjdcd}(k4\_int\_1~X0=k5\_real\_1~X0~(k3\_funct\_2~\\
k5\_numbers~k1\_numbers~(k4\_real\_3~X0)~k6\_numbers))\end{array}
\label{hyp:ehddfdpfchfgbgmgpfdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_xreal\_0~X1){\unicdbdjdcd}((k1\_seq\_1~\\
(k3\_real\_3~(k10\_real\_1~np\_\_1~(k5\_real\_1~X1~(k3\_funct\_2~k5\_numbers~\\
k1\_numbers~(k4\_real\_3~X1)~k6\_numbers))))~X0=k3\_funct\_2~k5\_numbers~\\
k1\_numbers~(k3\_real\_3~X1)~(k1\_nat\_1~X0~np\_\_1)){\unicdcdcdhd}(k1\_seq\_1~(k4\_real\_3~\\
(k10\_real\_1~np\_\_1~(k5\_real\_1~X1~(k3\_funct\_2~k5\_numbers~k1\_numbers~\\
(k4\_real\_3~X1)~k6\_numbers))))~X0=k3\_funct\_2~k5\_numbers~k1\_numbers~\\
(k4\_real\_3~X1)~(k1\_nat\_1~X0~np\_\_1))))\end{array}
\label{hyp:mgedgdpfchfgbgmgpfdd}
\end{equation}
\begin{theorem}\label{thm:ehddgdpfchfgbgmgpfdd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_xreal\_0~X1){\unicdbdjdcd}(k3\_funct\_2~\\
k5\_numbers~k1\_numbers~(k3\_real\_3~X1)~(k1\_nat\_1~X0~np\_\_1)=k1\_seq\_1~\\
(k3\_real\_3~(k10\_real\_1~np\_\_1~(k4\_int\_1~X1)))~X0))\end{array}$$
\end{theorem}
\end{document}
