\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{t29\_memstr\_0 (TMaya1bzCkwqzrqyvQ5S2EVgozub7DSdw9Z)}
\maketitle
Let $ v1\_setfam\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_memstr\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v3\_memstr\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ l1\_memstr\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_memstr\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v5\_memstr\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k7\_memstr\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k4\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k9\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_funct\_4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_memstr\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k5\_memstr\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_setfam\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}\\
((v2\_memstr\_0~X1~X0){\unicdcdcdhd}((v3\_memstr\_0~X1~X0){\unicdcdcdhd}(l1\_memstr\_0~X1~X0)))){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  ((v1\_relat\_1~X2){\unicdcdcdhd}((v4\_relat\_1~X2~(u1\_struct\_0~X1)){\unicdcdcdhd}\\
((v1\_funct\_1~X2){\unicdcdcdhd}(v5\_funct\_1~X2~(k2\_memstr\_0~X0~X1))))){\unicdbdjdcd}((k4\_struct\_0~\\
X1 \in k9\_xtuple\_0~X2){\unicdbdjdcd}(X2=k1\_funct\_4~(k6\_memstr\_0~X0~X1~X2)~(k7\_memstr\_0~\\
X0~X1~(k5\_memstr\_0~X0~X1~X2))))))\end{array}
\label{hyp:ehcdgdpfngfgngdhehchpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}(v1\_funct\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\\
v1\_relat\_1~X1){\unicdcdcdhd}(v1\_funct\_1~X1)){\unicdbdjdcd}(r1\_tarski~X0~(k1\_funct\_4~X1~\\
X0)))\end{array}
\label{hyp:ehcdfdpfggfhogdgehpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}(v1\_funct\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  (r1\_tarski~\\
X1~X0){\unicdbdjdcd}((v1\_relat\_1~X1){\unicdcdcdhd}(v1\_funct\_1~X1)))\end{array}
\label{hyp:ehbdpfhgchggfhogdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_setfam\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}\\
((v2\_memstr\_0~X1~X0){\unicdcdcdhd}((v3\_memstr\_0~X1~X0){\unicdcdcdhd}(l1\_memstr\_0~X1~X0)))){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  (v7\_ordinal1~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v1\_relat\_1~X3){\unicdcdcdhd}(\\
(v4\_relat\_1~X3~(u1\_struct\_0~X1)){\unicdcdcdhd}((v1\_funct\_1~X3){\unicdcdcdhd}((v5\_funct\_1~\\
X3~(k2\_memstr\_0~X0~X1)){\unicdcdcdhd}(v5\_memstr\_0~X3~X0~X1~X2))))){\unicdbdjdcd}({\unicdcdadad} X4 .  \\
((v1\_relat\_1~X4){\unicdcdcdhd}((v4\_relat\_1~X4~(u1\_struct\_0~X1)){\unicdcdcdhd}((v1\_funct\_1~\\
X4){\unicdcdcdhd}(v5\_funct\_1~X4~(k2\_memstr\_0~X0~X1))))){\unicdbdjdcd}((r1\_tarski~X3~X4){\unicdbdjdcd}\\
(v5\_memstr\_0~X4~X0~X1~X2))))))\end{array}
\label{hyp:ehbdhdpfngfgngdhehchpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((\preoh v1\_setfam\_1~X0){\unicdcdcdhd}(((\preoh v2\_struct\_0~\\
X1){\unicdcdcdhd}((v2\_memstr\_0~X1~X0){\unicdcdcdhd}((v3\_memstr\_0~X1~X0){\unicdcdcdhd}(l1\_memstr\_0~X1~\\
X0)))){\unicdcdcdhd}(v7\_ordinal1~X2))){\unicdbdjdcd}((\preoh v1\_xboole\_0~(k7\_memstr\_0~X0~X1~\\
X2)){\unicdcdcdhd}((v1\_relat\_1~(k7\_memstr\_0~X0~X1~X2)){\unicdcdcdhd}((v4\_relat\_1~(k7\_memstr\_0~\\
X0~X1~X2)~(u1\_struct\_0~X1)){\unicdcdcdhd}((v1\_funct\_1~(k7\_memstr\_0~X0~X1~X2)){\unicdcdcdhd}\\
((v5\_funct\_1~(k7\_memstr\_0~X0~X1~X2)~(k2\_memstr\_0~X0~X1)){\unicdcdcdhd}(v5\_memstr\_0~\\
(k7\_memstr\_0~X0~X1~X2)~X0~X1~X2))))))\end{array}
\label{hyp:ggdgbdadpfngfgngdhehchpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((\preoh v1\_setfam\_1~X0){\unicdcdcdhd}(((\preoh v2\_struct\_0~\\
X1){\unicdcdcdhd}((v2\_memstr\_0~X1~X0){\unicdcdcdhd}((v3\_memstr\_0~X1~X0){\unicdcdcdhd}(l1\_memstr\_0~X1~\\
X0)))){\unicdcdcdhd}(v7\_ordinal1~X2))){\unicdbdjdcd}((v1\_relat\_1~(k7\_memstr\_0~X0~X1~X2)){\unicdcdcdhd}\\
((v4\_relat\_1~(k7\_memstr\_0~X0~X1~X2)~(u1\_struct\_0~X1)){\unicdcdcdhd}((v1\_funct\_1~\\
(k7\_memstr\_0~X0~X1~X2)){\unicdcdcdhd}(v5\_funct\_1~(k7\_memstr\_0~X0~X1~X2)~(k2\_memstr\_0~\\
X0~X1)))))\end{array}
\label{hyp:egehpflghdpfngfgngdhehchpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((\preoh v1\_setfam\_1~X0){\unicdcdcdhd}((l1\_memstr\_0~\\
X1~X0){\unicdcdcdhd}((v1\_relat\_1~X2){\unicdcdcdhd}((v4\_relat\_1~X2~(u1\_struct\_0~X1)){\unicdcdcdhd}((\\
v1\_funct\_1~X2){\unicdcdcdhd}(v5\_funct\_1~X2~(k2\_memstr\_0~X0~X1))))))){\unicdbdjdcd}((v1\_relat\_1~\\
(k6\_memstr\_0~X0~X1~X2)){\unicdcdcdhd}((v4\_relat\_1~(k6\_memstr\_0~X0~X1~X2)~(u1\_struct\_0~\\
X1)){\unicdcdcdhd}((v1\_funct\_1~(k6\_memstr\_0~X0~X1~X2)){\unicdcdcdhd}(v5\_funct\_1~(k6\_memstr\_0~\\
X0~X1~X2)~(k2\_memstr\_0~X0~X1)))))\end{array}
\label{hyp:egehpflggdpfngfgngdhehchpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_setfam\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}\\
((v2\_memstr\_0~X1~X0){\unicdcdcdhd}((v3\_memstr\_0~X1~X0){\unicdcdcdhd}(l1\_memstr\_0~X1~X0)))){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  (v7\_ordinal1~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v1\_relat\_1~X3){\unicdcdcdhd}(\\
(v4\_relat\_1~X3~(u1\_struct\_0~X1)){\unicdcdcdhd}((v1\_funct\_1~X3){\unicdcdcdhd}(v5\_funct\_1~\\
X3~(k2\_memstr\_0~X0~X1))))){\unicdbdjdcd}((v5\_memstr\_0~X3~X0~X1~X2){\unicdbdjded}((k4\_struct\_0~\\
X1 \in k9\_xtuple\_0~X3){\unicdcdcdhd}(k5\_memstr\_0~X0~X1~X3=X2))))))\end{array}
\label{hyp:egbdbdpfngfgngdhehchpfad}
\end{equation}
\begin{theorem}\label{thm:ehcdjdpfngfgngdhehchpfad}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_setfam\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}\\
((v2\_memstr\_0~X1~X0){\unicdcdcdhd}((v3\_memstr\_0~X1~X0){\unicdcdcdhd}(l1\_memstr\_0~X1~X0)))){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  (v7\_ordinal1~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v1\_relat\_1~X3){\unicdcdcdhd}(\\
(v4\_relat\_1~X3~(u1\_struct\_0~X1)){\unicdcdcdhd}((v1\_funct\_1~X3){\unicdcdcdhd}(v5\_funct\_1~\\
X3~(k2\_memstr\_0~X0~X1))))){\unicdbdjdcd}((v5\_memstr\_0~X3~X0~X1~X2){\unicdbdjded}(r1\_tarski~\\
(k7\_memstr\_0~X0~X1~X2)~X3)))))\end{array}$$
\end{theorem}
\end{document}
