\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{t11\_fvaluat1 (TMLFxxZ6W3ErLZkWnYEMNp8dr7t7WQoJQ51)}
\maketitle
Let $ v1\_fvaluat1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_xxreal\_0 : {\iota}$ be given.
Let $ v1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_xxreal\_0~X0){\unicdbdjdcd}((r1\_xxreal\_0~X0~k2\_xxreal\_0){\unicdbdjdcd}(\\
X0=k2\_xxreal\_0))\end{array}
\label{hyp:mgbdddpfihihchfgbgmgpfad}
\end{equation}
Assume the following.
\begin{equation}
{\preoh{{{v1\_fvaluat1}~{k2\_xxreal\_0}}}}\label{hyp:ggdgcdpfggghbgmgfhbgehbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_fvaluat1}~{X0}})}{\unicdbdjdcd}{({{v1\_xxreal\_0}~{X0}})}}}\label{hyp:dgdgbdpfggghbgmgfhbgehbd}
\end{equation}
\begin{theorem}\label{thm:ehbdbdpfggghbgmgfhbgehbd}
${{\unicdcdadad} X0 .  {{({{v1\_fvaluat1}~{X0}})}{\unicdbdjdcd}{({\preoh{{{{r1\_xxreal\_0}~{X0}}~{k2\_xxreal\_0}}}})}}}$.
\end{theorem}
\end{document}
