\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}
\newcommand\uniddcgcg{\lambda}
\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t26\_descip\_1 (TMW6NVtb1rc4gx8xXdAhD56smN8ujNwQhM1)}
\maketitle
Let $ np\_\_16 : {\iota}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ np\_\_3 : {\iota}$ be given.
Let $ np\_\_4 : {\iota}$ be given.
Let $ np\_\_5 : {\iota}$ be given.
Let $ np\_\_6 : {\iota}$ be given.
Let $ np\_\_7 : {\iota}$ be given.
Let $ np\_\_8 : {\iota}$ be given.
Let $ np\_\_9 : {\iota}$ be given.
Let $ np\_\_10 : {\iota}$ be given.
Let $ np\_\_11 : {\iota}$ be given.
Let $ np\_\_12 : {\iota}$ be given.
Let $ np\_\_13 : {\iota}$ be given.
Let $ np\_\_14 : {\iota}$ be given.
Let $ np\_\_15 : {\iota}$ be given.
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v2\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k4\_ordinal1 : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v7\_ordinal1~X0){\unicdcdcdhd}(\preoh v1\_xboole\_0~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
\preoh (X1 \in X0){\unicdcdcdhd}((X1{\unicdcdgdad}k6\_numbers){\unicdcdcdhd}(\preoh (X1 \in k2\_finseq\_1~X0){\unicdcdcdhd}(X1{\unicdcdgdad}X0))))\end{array}
\label{hyp:ehcdfdpfegfgdhdgjgahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  \preoh (X0 \in k2\_finseq\_1~np\_\_16){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_1){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_2){\unicdcdcdhd}\\
((X0{\unicdcdgdad}np\_\_3){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_4){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_5){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_6){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_7){\unicdcdcdhd}\\
((X0{\unicdcdgdad}np\_\_8){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_9){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_10){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_11){\unicdcdcdhd}((X0{\unicdcdgdad}\\
np\_\_12){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_13){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_14){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_15){\unicdcdcdhd}(X0{\unicdcdgdad}np\_\_16))))))))))))))))\end{array}
\label{hyp:ehbdjdpfegfgdhdgjgahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}((v2\_xxreal\_0~np\_\_16){\unicdcdcdhd}(m2\_subset\_1~np\_\_16~k1\_numbers~k5\_numbers)){\unicdcdcdhd}\\
((m1\_subset\_1~np\_\_16~k5\_numbers){\unicdcdcdhd}(m1\_subset\_1~np\_\_16~k1\_numbers))\end{array}
\label{hyp:dhahdgbdgdpfogfhngfgchbgmgdh}
\end{equation}
Assume the following.
\begin{equation}
{\preoh{{{v1\_xboole\_0}~{np\_\_16}}}}\label{hyp:dhahdgbdgdpfcgpgpgmgfg}
\end{equation}
Assume the following.
\begin{equation}
{{k5\_numbers}={k4\_ordinal1}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgfdpfogfhngcgfgchdh}
\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:ehcdgdpfegfgdhdgjgahpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  \preoh (X0 \in np\_\_16){\unicdcdcdhd}((X0{\unicdcdgdad}k6\_numbers){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_1){\unicdcdcdhd}((X0{\unicdcdgdad}\\
np\_\_2){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_3){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_4){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_5){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_6){\unicdcdcdhd}\\
((X0{\unicdcdgdad}np\_\_7){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_8){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_9){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_10){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_11){\unicdcdcdhd}\\
((X0{\unicdcdgdad}np\_\_12){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_13){\unicdcdcdhd}((X0{\unicdcdgdad}np\_\_14){\unicdcdcdhd}(X0{\unicdcdgdad}np\_\_15))))))))))))))))\end{array}$$
\end{theorem}
\end{document}
