\documentclass{article}
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\newtheorem{proposition}{Proposition}
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\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\begin{document}
\title{t65\_pnproc\_1 (TMEmXYcsUS33qjGFLHz8XeLysRzxXsdA53b)}
\maketitle
Let $ m2\_pnproc\_1 : {{\iota}{\unicdbdjdcd}{{\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 $ k3\_finseq\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k10\_pnproc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ m2\_finseq\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k1\_pre\_poly : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (r1\_tarski~X0~X1){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X0){\unicdbdjdcd}\\
(X2 \in X1))\end{array}
\label{hyp:egddpfehbgchdhlgjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m2\_pnproc\_1~X1~X0){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(k3\_finseq\_2~X1))){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~\\
X3~(k1\_zfmisc\_1~(k3\_finseq\_2~X1))){\unicdbdjdcd}(k10\_pnproc\_1~X0~X1~X2~X3=ReplSep2~\\
(toset~({\uniddcgcg} X4 : \iota .  m2\_finseq\_2~X4~X1~(k3\_finseq\_2~X1)))~({\uniddcgcg} X4 : \\
\iota .  toset~({\uniddcgcg} X5 : \iota .  m2\_finseq\_2~X5~X1~(k3\_finseq\_2~X1)))~({\uniddcgcg} X4 : \\
\iota .  {\uniddcgcg} X5 : \iota .  (X4 \in X2){\unicdcdcdhd}(X5 \in X3))~({\uniddcgcg} X4 : \iota .  {\uniddcgcg} X5 : \iota .  k1\_pre\_poly~\\
X1~X4~X5))))\end{array}
\label{hyp:egbdcdpfahogahchpgdgpfbd}
\end{equation}
\begin{theorem}\label{thm:ehgdfdpfahogahchpgdgpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m2\_pnproc\_1~X1~X0){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(k3\_finseq\_2~X1))){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~\\
X3~(k1\_zfmisc\_1~(k3\_finseq\_2~X1))){\unicdbdjdcd}({\unicdcdadad} X4 .  (m1\_subset\_1~\\
X4~(k1\_zfmisc\_1~(k3\_finseq\_2~X1))){\unicdbdjdcd}({\unicdcdadad} X5 .  (m1\_subset\_1~\\
X5~(k1\_zfmisc\_1~(k3\_finseq\_2~X1))){\unicdbdjdcd}(((r1\_tarski~X2~X3){\unicdcdcdhd}(r1\_tarski~\\
X4~X5)){\unicdbdjdcd}(r1\_tarski~(k10\_pnproc\_1~X0~X1~X2~X4)~(k10\_pnproc\_1~X0~X1~\\
X3~X5)))))))\end{array}$$
\end{theorem}
\end{document}
