\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=}
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\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{t24\_dynkin (TMTBTreJx2zm57CJbeAukk5Jh7bQsHr1qBm)}
\maketitle
Let $ v1\_xboole\_0 : {{\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 $ v2\_finsub\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_dynkin : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k9\_prob\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k5\_dynkin : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_prob\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v4\_prob\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k1\_zfmisc\_1~X0))){\unicdbdjdcd}((v2\_finsub\_1~X1){\unicdbdjdcd}(v2\_finsub\_1~(k5\_dynkin~\\
X0~X1))))\end{array}
\label{hyp:ehcdddpfegjhoglgjgog}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~X0)))){\unicdbdjdcd}(((m1\_dynkin~\\
X1~X0){\unicdcdcdhd}(v2\_finsub\_1~X1)){\unicdbdjdcd}((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}((v1\_prob\_1~X1~X0){\unicdcdcdhd}\\
((v4\_prob\_1~X1~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0))))))))\end{array}
\label{hyp:ehcdadpfegjhoglgjgog}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((r1\_tarski~X0~X1){\unicdcdcdhd}(r1\_tarski~\\
X1~X2)){\unicdbdjdcd}(r1\_tarski~X0~X2)\end{array}
\label{hyp:ehbdpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_dynkin~X1~X0){\unicdbdjdcd}(\\
m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~X0))))\end{array}
\label{hyp:egehpfngbdpfegjhoglgjgog}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k1\_zfmisc\_1~X0)))){\unicdbdjdcd}((\preoh v1\_xboole\_0~(k9\_prob\_1~X0~X1)){\unicdcdcdhd}((v1\_prob\_1~\\
(k9\_prob\_1~X0~X1)~X0){\unicdcdcdhd}((v4\_prob\_1~(k9\_prob\_1~X0~X1)~X0){\unicdcdcdhd}(m1\_subset\_1~\\
(k9\_prob\_1~X0~X1)~(k1\_zfmisc\_1~(k1\_zfmisc\_1~X0))))))\end{array}
\label{hyp:egehpflgjdpfahchpgcgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k1\_zfmisc\_1~X0)))){\unicdbdjdcd}(m1\_dynkin~(k5\_dynkin~X0~X1)~X0)\end{array}
\label{hyp:egehpflgfdpfegjhoglgjgog}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k1\_zfmisc\_1~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~X2){\unicdcdcdhd}((v1\_prob\_1~\\
X2~X0){\unicdcdcdhd}((v4\_prob\_1~X2~X0){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0)))))){\unicdbdjdcd}((X2=k9\_prob\_1~X0~X1){\unicdbdjded}((r1\_tarski~X1~X2){\unicdcdcdhd}({\unicdcdadad} X3 .  \\
((r1\_tarski~X1~X3){\unicdcdcdhd}((\preoh v1\_xboole\_0~X3){\unicdcdcdhd}((v1\_prob\_1~X3~X0){\unicdcdcdhd}((v4\_prob\_1~\\
X3~X0){\unicdcdcdhd}(m1\_subset\_1~X3~(k1\_zfmisc\_1~(k1\_zfmisc\_1~X0))))))){\unicdbdjdcd}(\\
r1\_tarski~X2~X3))))))\end{array}
\label{hyp:egjdpfahchpgcgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k1\_zfmisc\_1~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_dynkin~X2~X0){\unicdbdjdcd}((X2=k5\_dynkin~\\
X0~X1){\unicdbdjded}((r1\_tarski~X1~X2){\unicdcdcdhd}({\unicdcdadad} X3 .  (m1\_dynkin~X3~X0){\unicdbdjdcd}((r1\_tarski~\\
X1~X3){\unicdbdjdcd}(r1\_tarski~X2~X3)))))))\end{array}
\label{hyp:eggdpfegjhoglgjgog}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_dynkin~X1~X0){\unicdbdjdcd}(\\
\preoh v1\_xboole\_0~X1))\end{array}
\label{hyp:dgdgbdpfegjhoglgjgog}
\end{equation}
\begin{theorem}\label{thm:ehcdedpfegjhoglgjgog}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k1\_zfmisc\_1~X0))){\unicdbdjdcd}((v2\_finsub\_1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_dynkin~\\
X2~X0){\unicdbdjdcd}((r1\_tarski~X1~X2){\unicdbdjdcd}(r1\_tarski~(k9\_prob\_1~X0~X1)~X2)))))\end{array}$$
\end{theorem}
\end{document}
