\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}
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\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{t85\_newton (TMHedRjp7SCbMWTh1JpuNfhNbEqf6NCSMTB)}
\maketitle
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_nat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ k2\_newton : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 : \iota{\unicdbdjdcd}o .  ((X0~k6\_numbers){\unicdcdcdhd}({\unicdcdadad} X1 .  (v7\_ordinal1~\\
X1){\unicdbdjdcd}((X0~X1){\unicdbdjdcd}(X0~(k1\_nat\_1~X1~np\_\_1))))){\unicdbdjdcd}({\unicdcdadad} X1 .  (v7\_ordinal1~\\
X1){\unicdbdjdcd}(X0~X1))\end{array}
\label{hyp:dhcdpfogbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}((r1\_xxreal\_0~(k1\_nat\_1~X0~np\_\_1)~\\
(k2\_newton~np\_\_2~X0)){\unicdbdjdcd}(r1\_xxreal\_0~(k1\_nat\_1~(k1\_nat\_1~X0~np\_\_1)~\\
np\_\_1)~(k2\_newton~np\_\_2~(k1\_nat\_1~X0~np\_\_1))))\end{array}
\label{hyp:mgjdgdpfogfghhehpgog}
\end{equation}
Assume the following.
\begin{equation}
{{{r1\_xxreal\_0}~{({{{k1\_nat\_1}~{k6\_numbers}}~{np\_\_1}})}}~{({{{k2\_newton}~{np\_\_2}}~{k6\_numbers}})}}\label{hyp:mgjdfdpfogfghhehpgog}
\end{equation}
\begin{theorem}\label{thm:ehidfdpfogfghhehpgog}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}(r1\_xxreal\_0~(k1\_nat\_1~X0~np\_\_1)~\\
(k2\_newton~np\_\_2~X0))\end{array}$$
\end{theorem}
\end{document}
