\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}
\newcommand\uniddcgcg{\lambda}
\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t23\_sprect\_2 (TMPYPpR8QoVBUtTA1oXWkeCbR5JWedneXDA)}
\maketitle
Let $ v1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k15\_euclid : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ k4\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_sprect\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_finseq\_6 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_1~X0~(u1\_struct\_0~(k15\_euclid~np\_\_2))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  (m2\_finseq\_1~X1~(u1\_struct\_0~(k15\_euclid~np\_\_2))){\unicdbdjdcd}\\
((r1\_sprect\_2~X0~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~k5\_numbers){\unicdbdjdcd}\\
({\unicdcdadad} X3 .  (m1\_subset\_1~X3~k5\_numbers){\unicdbdjdcd}(((X2 \in k4\_finseq\_1~X1){\unicdcdcdhd}\\
(X3 \in k4\_finseq\_1~X1)){\unicdbdjdcd}(r1\_sprect\_2~X0~(k3\_finseq\_6~(u1\_struct\_0~\\
(k15\_euclid~np\_\_2))~X1~X2~X3)))))))\end{array}
\label{hyp:ehcdcdpfdhahchfgdgehpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_zfmisc\_1~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~(u1\_struct\_0~(\\
k15\_euclid~np\_\_2)))){\unicdbdjdcd}(r1\_sprect\_2~X0~X0)\end{array}
\label{hyp:ehcdbdpfdhahchfgdgehpfcd}
\end{equation}
\begin{theorem}\label{thm:ehcdddpfdhahchfgdgehpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_zfmisc\_1~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~(u1\_struct\_0~(\\
k15\_euclid~np\_\_2)))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~k5\_numbers){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  (m1\_subset\_1~X2~k5\_numbers){\unicdbdjdcd}(((X1 \in k4\_finseq\_1~X0){\unicdcdcdhd}\\
(X2 \in k4\_finseq\_1~X0)){\unicdbdjdcd}(r1\_sprect\_2~X0~(k3\_finseq\_6~(u1\_struct\_0~\\
(k15\_euclid~np\_\_2))~X0~X1~X2)))))\end{array}$$
\end{theorem}
\end{document}
