\documentclass{article}
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\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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\begin{document}
\title{t10\_robbins4 (TMX7W2jnYp9eRK1FEiFiD29adnpajv7vgoi)}
\maketitle
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_robbins4 : {\iota}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_3 : {\iota}$ be given.
Let $ k4\_enumset1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ k6\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ k14\_lattice3 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_robbins4 : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}u1\_struct\_0~k2\_robbins4=k4\_enumset1~k6\_numbers~np\_\_1~(k6\_subset\_1~\\
np\_\_3~np\_\_1)~np\_\_2~(k6\_subset\_1~np\_\_3~np\_\_2)~np\_\_3\end{array}
\label{hyp:ehjdpfchpgcgcgjgogdhed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (X0 \in u1\_struct\_0~(k14\_lattice3~k1\_robbins4)){\unicdbdjdcd}(r1\_tarski~\\
X0~np\_\_3)\end{array}
\label{hyp:ehidpfchpgcgcgjgogdhed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}u1\_struct\_0~(k14\_lattice3~k1\_robbins4)=k4\_enumset1~k6\_numbers~\\
np\_\_1~(k6\_subset\_1~np\_\_3~np\_\_1)~np\_\_2~(k6\_subset\_1~np\_\_3~np\_\_2)~\\
np\_\_3\end{array}
\label{hyp:ehhdpfchpgcgcgjgogdhed}
\end{equation}
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 .  (X1=k1\_zfmisc\_1~X0){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X1){\unicdbdjded}\\
(r1\_tarski~X2~X0))\end{array}
\label{hyp:egbdpfkhggngjgdhdgpfbd}
\end{equation}
\begin{theorem}\label{thm:ehbdadpfchpgcgcgjgogdhed}
${{{r1\_tarski}~{({{u1\_struct\_0}~{k2\_robbins4}})}}~{({{k1\_zfmisc\_1}~{np\_\_3}})}}$.
\end{theorem}
\end{document}
