\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{t13\_sf\_mastr (TMX5mew6piZvAR8kSkXuuyj1uEz7ux8BcxC)}
\maketitle
Let $ k1\_sf\_mastr : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_compos\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_scmfsa\_2 : {\iota}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ l1\_compos\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k2\_compos\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u1\_compos\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_numbers : {\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 $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ k4\_ordinal1 : {\iota}$ be given.
Let $ v1\_compos\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k4\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_ami\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m1\_scmfsa\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_amistd\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k17\_scmfsa\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_3 : {\iota}$ be given.
Let $ k16\_scmfsa\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k15\_scmfsa\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k14\_scmfsa\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ v1\_amistd\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k10\_scmfsa\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k9\_scmfsa\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k8\_scmfsa\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k7\_scmfsa\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_scmfsa\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v4\_compos\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k13\_scmfsa\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v4\_amistd\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k12\_scmfsa\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v5\_compos\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k6\_compos\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ v2\_compos\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_compos\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_extpro\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ l1\_memstr\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k5\_finsub\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_scmfsa\_2 : {\iota}$ be given.
Let $ v1\_extpro\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_enumset1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ np\_\_4 : {\iota}$ be given.
Let $ np\_\_5 : {\iota}$ be given.
Let $ k5\_scmfsa\_m : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_7 : {\iota}$ be given.
Let $ np\_\_8 : {\iota}$ be given.
Let $ k4\_scmfsa\_m : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_9 : {\iota}$ be given.
Let $ np\_\_10 : {\iota}$ be given.
Let $ np\_\_11 : {\iota}$ be given.
Let $ np\_\_12 : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_compos\_1~X0){\unicdbdjdcd}(k2\_compos\_0~(u1\_compos\_1~X0)~(k2\_compos\_1~\\
X0)=k6\_numbers)\end{array}
\label{hyp:ehhdadpfdgpgngahpgdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~X0)))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m2\_subset\_1~\\
X2~X0~X1){\unicdbdjded}(m1\_subset\_1~X2~X1))\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpfngcdpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{k6\_numbers}={k1\_xboole\_0}}\label{hyp:chfgegfgggjgogjgehjgpgogpflggdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
{{k5\_numbers}={k4\_ordinal1}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgfdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_compos\_0~X0)){\unicdcdcdhd}\\
(m1\_subset\_1~X1~X0)){\unicdbdjdcd}(k2\_compos\_0~X0~X1=k4\_xtuple\_0~X1)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflgcdpfdgpgngahpgdhpfad}
\end{equation}
Assume the following.
\begin{equation}
{{({\preoh{{{v1\_xboole\_0}~{k4\_ordinal1}}}})}{\unicdcdcdhd}{({{v3\_ordinal1}~{k4\_ordinal1}})}}\label{hyp:ggdggdpfpgchegjgogbgmgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v1\_ami\_2~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(u1\_struct\_0~\\
k1\_scmfsa\_2))){\unicdcdcdhd}(m1\_scmfsa\_2~X1)){\unicdbdjdcd}(\preoh v2\_amistd\_1~(k17\_scmfsa\_2~\\
X0~X1)~np\_\_3~k1\_scmfsa\_2)\end{array}
\label{hyp:ggdgededpfdhdgngggdhbgbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v1\_ami\_2~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(u1\_struct\_0~\\
k1\_scmfsa\_2))){\unicdcdcdhd}(m1\_scmfsa\_2~X1)){\unicdbdjdcd}(\preoh v2\_amistd\_1~(k16\_scmfsa\_2~\\
X0~X1)~np\_\_3~k1\_scmfsa\_2)\end{array}
\label{hyp:ggdgedddpfdhdgngggdhbgbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((v1\_ami\_2~X0){\unicdcdcdhd}(m1\_subset\_1~\\
X0~(u1\_struct\_0~k1\_scmfsa\_2))){\unicdcdcdhd}(((v1\_ami\_2~X1){\unicdcdcdhd}(m1\_subset\_1~\\
X1~(u1\_struct\_0~k1\_scmfsa\_2))){\unicdcdcdhd}(m1\_scmfsa\_2~X2))){\unicdbdjdcd}(\preoh v2\_amistd\_1~\\
(k15\_scmfsa\_2~X1~X0~X2)~np\_\_3~k1\_scmfsa\_2)\end{array}
\label{hyp:ggdgedadpfdhdgngggdhbgbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((v1\_ami\_2~X0){\unicdcdcdhd}(m1\_subset\_1~\\
X0~(u1\_struct\_0~k1\_scmfsa\_2))){\unicdcdcdhd}(((v1\_ami\_2~X1){\unicdcdcdhd}(m1\_subset\_1~\\
X1~(u1\_struct\_0~k1\_scmfsa\_2))){\unicdcdcdhd}(m1\_scmfsa\_2~X2))){\unicdbdjdcd}(\preoh v2\_amistd\_1~\\
(k14\_scmfsa\_2~X1~X0~X2)~np\_\_3~k1\_scmfsa\_2)\end{array}
\label{hyp:ggdgddjdpfdhdgngggdhbgbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v1\_ami\_2~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(u1\_struct\_0~\\
k1\_scmfsa\_2))){\unicdcdcdhd}((v1\_ami\_2~X1){\unicdcdcdhd}(m1\_subset\_1~X1~(u1\_struct\_0~\\
k1\_scmfsa\_2)))){\unicdbdjdcd}(\preoh v1\_amistd\_1~(k4\_xtuple\_0~(k10\_scmfsa\_2~X0~\\
X1))~np\_\_3~k1\_scmfsa\_2)\end{array}
\label{hyp:ggdgddgdpfdhdgngggdhbgbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v1\_ami\_2~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(u1\_struct\_0~\\
k1\_scmfsa\_2))){\unicdcdcdhd}((v1\_ami\_2~X1){\unicdcdcdhd}(m1\_subset\_1~X1~(u1\_struct\_0~\\
k1\_scmfsa\_2)))){\unicdbdjdcd}(\preoh v1\_amistd\_1~(k4\_xtuple\_0~(k9\_scmfsa\_2~X0~\\
X1))~np\_\_3~k1\_scmfsa\_2)\end{array}
\label{hyp:ggdgddfdpfdhdgngggdhbgbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v1\_ami\_2~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(u1\_struct\_0~\\
k1\_scmfsa\_2))){\unicdcdcdhd}((v1\_ami\_2~X1){\unicdcdcdhd}(m1\_subset\_1~X1~(u1\_struct\_0~\\
k1\_scmfsa\_2)))){\unicdbdjdcd}(\preoh v1\_amistd\_1~(k4\_xtuple\_0~(k8\_scmfsa\_2~X0~\\
X1))~np\_\_3~k1\_scmfsa\_2)\end{array}
\label{hyp:ggdgddedpfdhdgngggdhbgbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v1\_ami\_2~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(u1\_struct\_0~\\
k1\_scmfsa\_2))){\unicdcdcdhd}((v1\_ami\_2~X1){\unicdcdcdhd}(m1\_subset\_1~X1~(u1\_struct\_0~\\
k1\_scmfsa\_2)))){\unicdbdjdcd}(\preoh v1\_amistd\_1~(k4\_xtuple\_0~(k7\_scmfsa\_2~X0~\\
X1))~np\_\_3~k1\_scmfsa\_2)\end{array}
\label{hyp:ggdgddddpfdhdgngggdhbgbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v1\_ami\_2~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(u1\_struct\_0~\\
k1\_scmfsa\_2))){\unicdcdcdhd}((v1\_ami\_2~X1){\unicdcdcdhd}(m1\_subset\_1~X1~(u1\_struct\_0~\\
k1\_scmfsa\_2)))){\unicdbdjdcd}(\preoh v1\_amistd\_1~(k4\_xtuple\_0~(k6\_scmfsa\_2~X0~\\
X1))~np\_\_3~k1\_scmfsa\_2)\end{array}
\label{hyp:ggdgddcdpfdhdgngggdhbgbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v1\_ami\_2~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(u1\_struct\_0~\\
k1\_scmfsa\_2))){\unicdcdcdhd}(m1\_subset\_1~X1~k5\_numbers)){\unicdbdjdcd}((\preoh v4\_compos\_0~\\
(k13\_scmfsa\_2~X1~X0)~(u1\_compos\_1~k1\_scmfsa\_2)){\unicdcdcdhd}((v2\_amistd\_1~\\
(k13\_scmfsa\_2~X1~X0)~np\_\_3~k1\_scmfsa\_2){\unicdcdcdhd}(\preoh v4\_amistd\_1~(k13\_scmfsa\_2~\\
X1~X0)~np\_\_3~k1\_scmfsa\_2)))\end{array}
\label{hyp:ggdgddbdpfdhdgngggdhbgbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v1\_ami\_2~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(u1\_struct\_0~\\
k1\_scmfsa\_2))){\unicdcdcdhd}(m1\_subset\_1~X1~k5\_numbers)){\unicdbdjdcd}((\preoh v4\_compos\_0~\\
(k12\_scmfsa\_2~X1~X0)~(u1\_compos\_1~k1\_scmfsa\_2)){\unicdcdcdhd}((v2\_amistd\_1~\\
(k12\_scmfsa\_2~X1~X0)~np\_\_3~k1\_scmfsa\_2){\unicdcdcdhd}(\preoh v4\_amistd\_1~(k12\_scmfsa\_2~\\
X1~X0)~np\_\_3~k1\_scmfsa\_2)))\end{array}
\label{hyp:ggdgddadpfdhdgngggdhbgbdad}
\end{equation}
Assume the following.
\begin{equation}
{{{{v2\_amistd\_1}~{({{k2\_compos\_1}~{k1\_scmfsa\_2}})}}~{np\_\_3}}~{k1\_scmfsa\_2}}\label{hyp:ggdgcdfdpfdhdgngggdhbgbdad}
\end{equation}
Assume the following.
\begin{equation}
{{{{v1\_amistd\_1}~{({{k4\_xtuple\_0}~{({{k2\_compos\_1}~{k1\_scmfsa\_2}})}})}}~{np\_\_3}}~{k1\_scmfsa\_2}}\label{hyp:ggdgcdedpfdhdgngggdhbgbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_compos\_0~X0){\unicdcdcdhd}(v5\_compos\_0~X0)){\unicdbdjdcd}(v4\_compos\_0~\\
(k6\_compos\_0~X0)~X0)\end{array}
\label{hyp:ggdgcdadpfdgpgngahpgdhpfad}
\end{equation}
Assume the following.
\begin{equation}
{\preoh{{{v1\_xboole\_0}~{k1\_numbers}}}}\label{hyp:ggdgbdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_compos\_1~X0){\unicdbdjdcd}((v1\_compos\_0~(u1\_compos\_1~X0)){\unicdcdcdhd}\\
((v2\_compos\_0~(u1\_compos\_1~X0)){\unicdcdcdhd}((v3\_compos\_0~(u1\_compos\_1~\\
X0)){\unicdcdcdhd}(v5\_compos\_0~(u1\_compos\_1~X0)))))\end{array}
\label{hyp:egehpffhbdpfdgpgngahpgdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (l1\_extpro\_1~X1~X0){\unicdbdjdcd}((l1\_memstr\_0~X1~X0){\unicdcdcdhd}\\
(l1\_compos\_1~X1))\end{array}
\label{hyp:egehpfmgbdpffgihehahchpgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{k5\_numbers}}~{({{k1\_zfmisc\_1}~{k1\_numbers}})}}\label{hyp:egehpflgfdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_compos\_1~X0){\unicdbdjdcd}(m1\_subset\_1~(k2\_compos\_1~X0)~(u1\_compos\_1~\\
X0))\end{array}
\label{hyp:egehpflgcdpfdgpgngahpgdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(u1\_compos\_1~k1\_scmfsa\_2)){\unicdbdjdcd}(m1\_subset\_1~\\
(k1\_sf\_mastr~X0)~(k5\_finsub\_1~k2\_scmfsa\_2))\end{array}
\label{hyp:egehpflgbdpfdhggpfngbgdhehch}
\end{equation}
Assume the following.
\begin{equation}
{{({{{v1\_extpro\_1}~{k1\_scmfsa\_2}}~{np\_\_3}})}{\unicdcdcdhd}{({{{l1\_extpro\_1}~{k1\_scmfsa\_2}}~{np\_\_3}})}}\label{hyp:egehpflgbdpfdhdgngggdhbgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(u1\_compos\_1~k1\_scmfsa\_2)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(k5\_finsub\_1~k2\_scmfsa\_2)){\unicdbdjdcd}(((k2\_compos\_0~(\\
u1\_compos\_1~k1\_scmfsa\_2)~X0 \in k3\_enumset1~np\_\_1~np\_\_2~np\_\_3~np\_\_4~\\
np\_\_5){\unicdbdjdcd}((X1=k1\_sf\_mastr~X0){\unicdbdjded}({\unicdcdaddd} X2 .  ((v1\_ami\_2~X2){\unicdcdcdhd}(m1\_subset\_1~\\
X2~(u1\_struct\_0~k1\_scmfsa\_2))){\unicdcdcdhd}({\unicdcdaddd} X3 .  ((v1\_ami\_2~X3){\unicdcdcdhd}(\\
m1\_subset\_1~X3~(u1\_struct\_0~k1\_scmfsa\_2))){\unicdcdcdhd}((\preoh (X0{\unicdcdgdad}k6\_scmfsa\_2~\\
X2~X3){\unicdcdcdhd}((X0{\unicdcdgdad}k7\_scmfsa\_2~X2~X3){\unicdcdcdhd}((X0{\unicdcdgdad}k8\_scmfsa\_2~X2~X3){\unicdcdcdhd}((X0{\unicdcdgdad}\\
k9\_scmfsa\_2~X2~X3){\unicdcdcdhd}(X0{\unicdcdgdad}k10\_scmfsa\_2~X2~X3))))){\unicdcdcdhd}(X1=k5\_scmfsa\_m~\\
X2~X3)))))){\unicdcdcdhd}((((k2\_compos\_0~(u1\_compos\_1~k1\_scmfsa\_2)~X0=np\_\_7){\unicdcdcdid}\\
(k2\_compos\_0~(u1\_compos\_1~k1\_scmfsa\_2)~X0=np\_\_8)){\unicdbdjdcd}((X1=k1\_sf\_mastr~\\
X0){\unicdbdjded}({\unicdcdaddd} X2 .  ((v1\_ami\_2~X2){\unicdcdcdhd}(m1\_subset\_1~X2~(u1\_struct\_0~\\
k1\_scmfsa\_2))){\unicdcdcdhd}({\unicdcdaddd} X3 .  (m2\_subset\_1~X3~k1\_numbers~k5\_numbers){\unicdcdcdhd}\\
(((X0=k12\_scmfsa\_2~X3~X2){\unicdcdcdid}(X0=k13\_scmfsa\_2~X3~X2)){\unicdcdcdhd}(X1=k4\_scmfsa\_m~\\
X2)))))){\unicdcdcdhd}((((k2\_compos\_0~(u1\_compos\_1~k1\_scmfsa\_2)~X0=np\_\_9){\unicdcdcdid}\\
(k2\_compos\_0~(u1\_compos\_1~k1\_scmfsa\_2)~X0=np\_\_10)){\unicdbdjdcd}((X1=k1\_sf\_mastr~\\
X0){\unicdbdjded}({\unicdcdaddd} X2 .  ((v1\_ami\_2~X2){\unicdcdcdhd}(m1\_subset\_1~X2~(u1\_struct\_0~\\
k1\_scmfsa\_2))){\unicdcdcdhd}({\unicdcdaddd} X3 .  ((v1\_ami\_2~X3){\unicdcdcdhd}(m1\_subset\_1~X3~(\\
u1\_struct\_0~k1\_scmfsa\_2))){\unicdcdcdhd}({\unicdcdaddd} X4 .  (m1\_scmfsa\_2~X4){\unicdcdcdhd}((\\
(X0=k14\_scmfsa\_2~X3~X2~X4){\unicdcdcdid}(X0=k15\_scmfsa\_2~X3~X2~X4)){\unicdcdcdhd}(X1=k5\_scmfsa\_m~\\
X2~X3))))))){\unicdcdcdhd}((((k2\_compos\_0~(u1\_compos\_1~k1\_scmfsa\_2)~X0=np\_\_11){\unicdcdcdid}\\
(k2\_compos\_0~(u1\_compos\_1~k1\_scmfsa\_2)~X0=np\_\_12)){\unicdbdjdcd}((X1=k1\_sf\_mastr~\\
X0){\unicdbdjded}({\unicdcdaddd} X2 .  ((v1\_ami\_2~X2){\unicdcdcdhd}(m1\_subset\_1~X2~(u1\_struct\_0~\\
k1\_scmfsa\_2))){\unicdcdcdhd}({\unicdcdaddd} X3 .  (m1\_scmfsa\_2~X3){\unicdcdcdhd}(((X0=k16\_scmfsa\_2~\\
X2~X3){\unicdcdcdid}(X0=k17\_scmfsa\_2~X2~X3)){\unicdcdcdhd}(X1=k4\_scmfsa\_m~X2)))))){\unicdcdcdhd}(\preoh \\
(\preoh k2\_compos\_0~(u1\_compos\_1~k1\_scmfsa\_2)~X0 \in k3\_enumset1~np\_\_1~\\
np\_\_2~np\_\_3~np\_\_4~np\_\_5){\unicdcdcdhd}((k2\_compos\_0~(u1\_compos\_1~k1\_scmfsa\_2)~\\
X0{\unicdcdgdad}np\_\_7){\unicdcdcdhd}((k2\_compos\_0~(u1\_compos\_1~k1\_scmfsa\_2)~X0{\unicdcdgdad}np\_\_8){\unicdcdcdhd}\\
((k2\_compos\_0~(u1\_compos\_1~k1\_scmfsa\_2)~X0{\unicdcdgdad}np\_\_9){\unicdcdcdhd}((k2\_compos\_0~\\
(u1\_compos\_1~k1\_scmfsa\_2)~X0{\unicdcdgdad}np\_\_10){\unicdcdcdhd}((k2\_compos\_0~(u1\_compos\_1~\\
k1\_scmfsa\_2)~X0{\unicdcdgdad}np\_\_11){\unicdcdcdhd}((k2\_compos\_0~(u1\_compos\_1~k1\_scmfsa\_2)~\\
X0{\unicdcdgdad}np\_\_12){\unicdcdcdhd}(\preoh (X1=k1\_sf\_mastr~X0){\unicdbdjded}(X1=k1\_xboole\_0))))))))))))))\end{array}
\label{hyp:egbdpfdhggpfngbgdhehch}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_compos\_1~X0){\unicdbdjdcd}(k2\_compos\_1~X0=k6\_compos\_0~(u1\_compos\_1~\\
X0))\end{array}
\label{hyp:egbdadpfdgpgngahpgdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v5\_compos\_0}~{X0}})}{\unicdbdjdcd}{({\preoh{{{v1\_xboole\_0}~{X0}}}})}}}\label{hyp:dgdgcdpfdgpgngahpgdhpfad}
\end{equation}
\begin{theorem}\label{thm:ehbdddpfdhggpfngbgdhehch}
${{{k1\_sf\_mastr}~{({{k2\_compos\_1}~{k1\_scmfsa\_2}})}}={k1\_xboole\_0}}$.
\end{theorem}
\end{document}
