\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{t10\_measure4 (TMVTTTEUq7BofSqHUFGhk4wD4a3uqqJDUEy)}
\maketitle
Let $ m1\_measure4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_measure4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_setfam\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_finsub\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_finsub\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_prob\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  (m1\_measure4~X3~X0){\unicdbdjdcd}\\
(((X1 \in k1\_measure4~X0~X3){\unicdcdcdhd}(X2 \in k1\_measure4~X0~X3)){\unicdbdjdcd}(k3\_xboole\_0~\\
X1~X2 \in k1\_measure4~X0~X3))\end{array}
\label{hyp:ehjdpfngfgbgdhfhchfged}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (m1\_measure4~X2~X1){\unicdbdjdcd}((X0 \in k1\_measure4~\\
X1~X2){\unicdbdjdcd}(k6\_subset\_1~X1~X0 \in k1\_measure4~X1~X2))\end{array}
\label{hyp:ehhdpfngfgbgdhfhchfged}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  k1\_setfam\_1~(k2\_tarski~X0~X1)=k3\_xboole\_0~\\
X0~X1\end{array}
\label{hyp:ehbdbdpfdhfgehggbgngpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{{k6\_subset\_1}~{X0}}~{X1}}={{{k4\_xboole\_0}~{X0}}~{X1}}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpflggdpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_measure4~X1~X0){\unicdbdjdcd}((\preoh v1\_xboole\_0~(k1\_measure4~\\
X0~X1)){\unicdcdcdhd}(m1\_subset\_1~(k1\_measure4~X0~X1)~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0))))\end{array}
\label{hyp:egehpflgbdpfngfgbgdhfhchfged}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v3\_finsub\_1~X0){\unicdbdjded}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((X1 \in X0){\unicdcdcdhd}\\
(X2 \in X0)){\unicdbdjdcd}(k6\_subset\_1~X1~X2 \in X0))\end{array}
\label{hyp:egddpfggjgogdhfhcgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v2\_finsub\_1~X0){\unicdbdjded}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((X1 \in X0){\unicdcdcdhd}\\
(X2 \in X0)){\unicdbdjdcd}(k3\_xboole\_0~X1~X2 \in X0))\end{array}
\label{hyp:egcdpfggjgogdhfhcgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0))){\unicdbdjdcd}((v1\_prob\_1~X1~X0){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X1){\unicdbdjdcd}(k6\_subset\_1~X0~\\
X2 \in X1)))\end{array}
\label{hyp:egbdpfngfgbgdhfhchfgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0))){\unicdbdjdcd}(((v2\_finsub\_1~X1){\unicdcdcdhd}(v1\_prob\_1~X1~X0)){\unicdbdjdcd}(v3\_finsub\_1~X1))\end{array}
\label{hyp:dgdgddpfngfgbgdhfhchfgbd}
\end{equation}
\begin{theorem}\label{thm:ehbdadpfngfgbgdhfhchfged}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  (m1\_measure4~X3~X0){\unicdbdjdcd}\\
(((X1 \in k1\_measure4~X0~X3){\unicdcdcdhd}(X2 \in k1\_measure4~X0~X3)){\unicdbdjdcd}(k6\_subset\_1~\\
X1~X2 \in k1\_measure4~X0~X3))\end{array}$$
\end{theorem}
\end{document}
