\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{l20\_dtconstr (TMQVvTwemtFqRdU7FrXVbsm2u51UipTSrFg)}
\maketitle
Let $ c2\_\_dtconstr : {\iota}$ be given.
Let $ k1\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k5\_dtconstr : {\iota}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_finseq\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_lang1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}((v1\_funct\_1~X0){\unicdcdcdhd}(v1\_finseq\_1~X0))){\unicdbdjdcd}\\
(\preoh r1\_lang1~k5\_dtconstr~c2\_\_dtconstr~X0)\end{array}
\label{hyp:mgbdjdpfegehdgpgogdhehch}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}k1\_lang1~k5\_dtconstr=ReplSep~(toset~({\uniddcgcg} X0 : \iota .  m1\_subset\_1~\\
X0~(u1\_struct\_0~k5\_dtconstr)))~({\uniddcgcg} X0 : \iota .  {\unicdcdadad} X1 .  ((v1\_relat\_1~\\
X1){\unicdcdcdhd}((v1\_funct\_1~X1){\unicdcdcdhd}(v1\_finseq\_1~X1))){\unicdbdjdcd}(\preoh r1\_lang1~k5\_dtconstr~\\
X0~X1))~({\uniddcgcg} X0 : \iota .  X0)\end{array}
\label{hyp:mgbdidpfegehdgpgogdhehch}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{c2\_\_dtconstr}}~{({{u1\_struct\_0}~{k5\_dtconstr}})}}\label{hyp:egehpfdgcdpfpfegehdgpgogdhehch}
\end{equation}
\begin{theorem}\label{thm:mgcdadpfegehdgpgogdhehch}
${{c2\_\_dtconstr} \in {{k1\_lang1}~{k5\_dtconstr}}}$.
\end{theorem}
\end{document}
