\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{l78\_ordinal6 (TMSyrkk8py6sLEWEBo3SafjsgWBGZScEPpy)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_classes2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k4\_ordinal1 : {\iota}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k11\_ordinal6 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k2\_ordinal1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v2\_ordinal6 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v3\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k6\_ordinal6 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_ordinal6 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k9\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_ordinal1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_ordinal6 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v4\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k7\_ordinal6 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k5\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{X0} \in {X1}})}{\unicdbdjdcd}{({{{m1\_subset\_1}~{X0}}~{X1}})}}}}\label{hyp:ehbdpfdhfhcgdhfgeh}
\end{equation}
Assume the following.
\begin{equation}
{{({\preoh{{{v1\_xboole\_0}~{k4\_ordinal1}}}})}{\unicdcdcdhd}{({{v3\_ordinal1}~{k4\_ordinal1}})}}\label{hyp:ggdggdpfpgchegjgogbgmgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_classes2~X0)){\unicdcdcdhd}\\
((v3\_ordinal1~X1){\unicdcdcdhd}((\preoh v1\_zfmisc\_1~X1){\unicdcdcdhd}(m1\_subset\_1~X1~X0)))){\unicdbdjdcd}\\
((v1\_funct\_1~(k6\_ordinal6~X0~X1)){\unicdcdcdhd}((v1\_funct\_2~(k6\_ordinal6~\\
X0~X1)~(k2\_ordinal1~X0)~(k2\_ordinal1~X0)){\unicdcdcdhd}(v2\_ordinal6~(k6\_ordinal6~\\
X0~X1))))\end{array}
\label{hyp:ggdgbdhdpfpgchegjgogbgmggd}
\end{equation}
Assume the following.
\begin{equation}
{\preoh{{{v1\_zfmisc\_1}~{k4\_ordinal1}}}}\label{hyp:ggdgbdgdpfpgchegjgogbgmggd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_classes2~X0)){\unicdcdcdhd}\\
(v3\_ordinal1~X1)){\unicdbdjdcd}((v1\_funct\_1~(k6\_ordinal6~X0~X1)){\unicdcdcdhd}((v1\_funct\_2~\\
(k6\_ordinal6~X0~X1)~(k2\_ordinal1~X0)~(k2\_ordinal1~X0)){\unicdcdcdhd}(m1\_subset\_1~\\
(k6\_ordinal6~X0~X1)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_ordinal1~X0)~\\
(k2\_ordinal1~X0))))))\end{array}
\label{hyp:egehpflggdpfpgchegjgogbgmggd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_classes2~X0)){\unicdbdjdcd}((v1\_relat\_1~\\
(k11\_ordinal6~X0)){\unicdcdcdhd}((v1\_funct\_1~(k11\_ordinal6~X0)){\unicdcdcdhd}((v5\_ordinal1~\\
(k11\_ordinal6~X0)){\unicdcdcdhd}(v3\_ordinal6~(k11\_ordinal6~X0)))))\end{array}
\label{hyp:egehpflgbdbdpfpgchegjgogbgmggd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_classes2~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v1\_relat\_1~X1){\unicdcdcdhd}((v1\_funct\_1~X1){\unicdcdcdhd}((v5\_ordinal1~X1){\unicdcdcdhd}(v3\_ordinal6~\\
X1)))){\unicdbdjdcd}((X1=k11\_ordinal6~X0){\unicdbdjded}((k9\_xtuple\_0~X1=k2\_ordinal1~\\
X0){\unicdcdcdhd}((k1\_funct\_1~X1~k6\_numbers=k6\_ordinal6~X0~k4\_ordinal1){\unicdcdcdhd}\\
(({\unicdcdadad} X2 .  (v3\_ordinal1~X2){\unicdbdjdcd}((k1\_ordinal1~X2 \in k2\_ordinal1~\\
X0){\unicdbdjdcd}(k1\_funct\_1~X1~(k1\_ordinal1~X2)=k3\_ordinal6~(k1\_funct\_1~\\
X1~X2)))){\unicdcdcdhd}({\unicdcdadad} X2 .  ((v3\_ordinal1~X2){\unicdcdcdhd}((v4\_ordinal1~X2){\unicdcdcdhd}(\\
\preoh v1\_xboole\_0~X2))){\unicdbdjdcd}((X2 \in k2\_ordinal1~X0){\unicdbdjdcd}(k1\_funct\_1~X1~X2=k7\_ordinal6~\\
(k5\_relat\_1~X1~X2)))))))))\end{array}
\label{hyp:egbdfdpfpgchegjgogbgmggd}
\end{equation}
\begin{theorem}\label{thm:mghdidpfpgchegjgogbgmggd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_classes2~X0)){\unicdbdjdcd}((k4\_ordinal1 \in \\
X0){\unicdbdjdcd}((v1\_funct\_1~(k1\_funct\_1~(k11\_ordinal6~X0)~k6\_numbers)){\unicdcdcdhd}\\
((v1\_funct\_2~(k1\_funct\_1~(k11\_ordinal6~X0)~k6\_numbers)~(k2\_ordinal1~\\
X0)~(k2\_ordinal1~X0)){\unicdcdcdhd}((v2\_ordinal6~(k1\_funct\_1~(k11\_ordinal6~\\
X0)~k6\_numbers)){\unicdcdcdhd}(m1\_subset\_1~(k1\_funct\_1~(k11\_ordinal6~X0)~\\
k6\_numbers)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_ordinal1~X0)~(k2\_ordinal1~\\
X0))))))))\end{array}$$
\end{theorem}
\end{document}
