\documentclass{article}
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\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{t6\_trees\_4 (TMJtAATNB9F177dJA7AA8txi2Q7dRfREqp5)}
\maketitle
Let $ k1\_trees\_4 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ k16\_funcop\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_trees\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ k7\_funcop\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{{k16\_funcop\_1}~{X0}}~{X1}}={{k1\_tarski}~{({{{k4\_tarski}~{X0}}~{X1}})}}}}}\label{hyp:ehidcdpfggfhogdgehpfed}
\end{equation}
Assume the following.
\begin{equation}
{{{k2\_trees\_1}~{k6\_numbers}}={{k1\_tarski}~{k1\_xboole\_0}}}\label{hyp:ehcdjdpfehchfgfgdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  k16\_funcop\_1~X0~X1=k7\_funcop\_1~(k1\_tarski~\\
X0)~X1\end{array}
\label{hyp:egjdpfggfhogdgpgahpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{k1\_trees\_4}~{X0}}={{{k7\_funcop\_1}~{({{k2\_trees\_1}~{k6\_numbers}})}}~{X0}}}}\label{hyp:egcdpfehchfgfgdhpfed}
\end{equation}
\begin{theorem}\label{thm:ehgdpfehchfgfgdhpfed}
${{\unicdcdadad} X0 .  {{{k1\_trees\_4}~{X0}}={{k1\_tarski}~{({{{k4\_tarski}~{k1\_xboole\_0}}~{X0}})}}}}$.
\end{theorem}
\end{document}
