\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}
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\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t88\_gfacirc1 (TMYn92qE36HiuYKQ9Sx52sUEH2gagbbptiZ)}
\maketitle
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k34\_gfacirc1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k4\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k10\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_gfacirc1 : {\iota}$ be given.
Let $ k22\_gfacirc1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k8\_facirc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (X0 \in u1\_struct\_0~(k22\_gfacirc1~\\
X0~X1~X2)){\unicdcdcdhd}((X1 \in u1\_struct\_0~(k22\_gfacirc1~X0~X1~X2)){\unicdcdcdhd}((X2 \in u1\_struct\_0~\\
(k22\_gfacirc1~X0~X1~X2)){\unicdcdcdhd}((k4\_tarski~(k10\_finseq\_1~X0~X1)~k4\_gfacirc1 \in \\
u1\_struct\_0~(k22\_gfacirc1~X0~X1~X2)){\unicdcdcdhd}(k4\_tarski~(k10\_finseq\_1~\\
(k4\_tarski~(k10\_finseq\_1~X0~X1)~k4\_gfacirc1)~X2)~k4\_gfacirc1 \in \\
u1\_struct\_0~(k22\_gfacirc1~X0~X1~X2)))))\end{array}
\label{hyp:ehfdgdpfhgggbgdgjgchdgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  k34\_gfacirc1~X0~X1~X2=k8\_facirc\_1~\\
X0~X1~X2~k4\_gfacirc1\end{array}
\label{hyp:egddedpfhgggbgdgjgchdgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  k22\_gfacirc1~X0~X1~X2=k8\_facirc\_1~\\
X0~X1~X2~k4\_gfacirc1\end{array}
\label{hyp:egcdcdpfhgggbgdgjgchdgbd}
\end{equation}
\begin{theorem}\label{thm:ehididpfhgggbgdgjgchdgbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (X0 \in u1\_struct\_0~(k34\_gfacirc1~\\
X0~X1~X2)){\unicdcdcdhd}((X1 \in u1\_struct\_0~(k34\_gfacirc1~X0~X1~X2)){\unicdcdcdhd}((X2 \in u1\_struct\_0~\\
(k34\_gfacirc1~X0~X1~X2)){\unicdcdcdhd}((k4\_tarski~(k10\_finseq\_1~X0~X1)~k4\_gfacirc1 \in \\
u1\_struct\_0~(k34\_gfacirc1~X0~X1~X2)){\unicdcdcdhd}(k4\_tarski~(k10\_finseq\_1~\\
(k4\_tarski~(k10\_finseq\_1~X0~X1)~k4\_gfacirc1)~X2)~k4\_gfacirc1 \in \\
u1\_struct\_0~(k34\_gfacirc1~X0~X1~X2)))))\end{array}$$
\end{theorem}
\end{document}
