'∩)∧H$∪)%λ(∩i$@$⊃Id`&∪	dH'RiDX#T*E⊂&SI$8%⊃ht0#∩)E⊂'⊃i∧H%SJ∀h&∪	∧_$∀	5%R	$`(R	E(∪I∧P&U	d($∪)dp#Q(th$∩	$8!Qλ4_#∩λd⊂ ⊂hT"R	∧8 Qλ#x ⊂'d  ⊂hd0%QHtx&∩I∀H%⊃(Th$∩)$X&∪	DX#RλT($Q(dP$∩(DH"QhT8%∩(∀($SHT`%∩	∧($⊃i$X#∩idp#SJ¬λ%PhdP'∪Ht`'R*%⊂%∪iD8(∪)Dh'U
∀`'V
dh+∀*¬'RjU@*Tju(,VJ∃@-W*E@+∀IUλ(SiDH(SJ∧p'∪)u('∪ith)∃J∧h)∪	5(∪λu_,∀J% '∀
E⊂'RIth&RHtP%Si4H&∪	Dh&∪)t@'SidX)∪j∧`(∩)4@&∀λT8%Sidp)∩)4P%∩i∧@&∩i4h%∩iD8%∩HtP'Si4 '∪
DP$S)Uλ%R*Dx%QI∧0$Ti48%R)4X#S)40#∩I$0!Qλ4_#⊂H4@!Q(d Qλ$8$⊂h$X%QHdH#R)T8#S	T8'⊃h∧ $RI4h'⊃	4X"Qλ4⊂$Q(4H$∩λT #∩λt_"⊃i4H%∩IDP$∩i$h&R)∀H'SiDX&∪)∀p)∪)D`#∩)∀`%S	Uλ*∪*%X,SIDp&R)u &T	Tp(∀j¬⊂'U5H%Sj∧x(S)Tp&Ti$`'∪J∧h&S	dx&∀
Dp&TIEλ&∪iEλ(∀)eλ'∀
E⊂'RIth&RHtP%Si4H&∪	Dh&∪)t@'SidX)∪j∧`(∩)4@&∀λT8%Sidp)∩)4P%∩i∧@&∩i4h%∩iD8%∩HtP'Si4 '∪
DP$S)Uλ%R*Dx%QI∧0$Ti48%R)4X#S)40#∩I$0!Qλ4_#⊂H4@!Q(d Qλ$8$⊂h$X%QHdH#R)T8#S	T8'⊃h∧ $RI4h'⊃	4X"Qλ4⊂$Q(4H$∩λT #∩λt_"⊃i4H%∩IDP$∩i$h&R)∀H'SiDX&∪)∀p)∪)D`#∩)∀`%S	Uλ*∪*%X,SIDp&R)u &T	Tp(∀j¬⊂'U5H%Sj∧x(S)Tp&Ti$`'∪J∧h&S	dx&∀
Dp&TIEλ&∪iEλ(∀)eλ)∀+u@*S
e0$∪	Tx%TI5'TJ∃@+Tj4x&S)Dh(∩IE_-∪j¬%∪
5P*S)tP'Uλe'SiTx'UJ4p&SiDh(∀Jdx(TItX%S	TP(∀J¬x.∀
¬_'∪)tx(∀
4x+T	Tx*Sj$h'Rj%λ'∀JDx%∪i5'∪)$@&R)∀8%S	D8'SJDh*∀	tX"∪
∀h%∀k¬λ&SIu'∀)dX(∪J¬(∃	th'Rj∃8-T*E⊂'∪jU(,∪K¬@)∀
%⊂-∀
$h(TJu⊂)T
E'SJT`'∀*¬(T)E⊂*∀JTH'T)E⊂'R	E0+Tj%λ'U
¬λ'T	u⊂)TjE(*∃idx(U*e%Tj%)R)∃λ(∀J%λ&SJ∃ +∀Iu+∀iU &∪	e(T	Dh QId`'∩i4h$⊃	D("SIEλ%Sj∧x%∩h4P&∩	DH$⊃HtX$Si$($∩i$8#∩i$@&QiD($∪)∧@$R)Eλ&∪)T &Sie⊂)∀	Dp%∪*$x&∀	DX%T
∃%RHd8'⊃hTH$SλD 'Rλt⊂"Qhcx#QH4 #∩h∀λ#∩)∀0$⊃hDH#QHT0$S	Tp(∪	∧P%⊃h4X$∩)∀8'Qht0#∩i$h"Q)40#R(Dλ ⊃λ∀0%⊃I4("R	∧⊂!Ri∀X%SI∧H%∩iU#∩idH%S)∧`'∪Id@$⊃ITh&S)4`%∀	tx'S	∃(&∩jU@)TIdP'∀	$`'S+∧x&∪J∀h&TK∃()∀id`'Riu)Sj$X$∪J5λ'U)U#T)Eλ-∪i$x&R*∀x(∀*d`%S	dX)⊗
E⊂)Tj∃_'∀IUλ'Ritp ∪IEλ&∩)%_(∪IdH%RiTx'R*¬⊂$∩	E((∩*∃λ$SITx(∪)5λ+∃+¬_)TjU0(T	th(S	dp$∪)$p(S*∧x(S*4h(Rie⊂&∀J∀p%⊃I5'Rid`&∩
¬λ(T*5λ)∪	∀p(∪
$x&∀Ie⊂$SJ∧h*U*4p+∀*U_'T)U8*U
Dx)⊃ie@*Sie_+Tj4x%∩	Dx'∃
TP%∪j∃λ)S)E)∀
$p,∃k∃0+∃K∃(∀*E0(∪Ieλ*T
U (T)%_*T+¬_(TjDx)Siu ,Tiu8+∃)TX)∃	t`)∪iDx+∃jTx(SJ∀p&T*$p&S)Tx(S*¬&∪*∀x!NjE⊂(T
$x(R)tX$T)Tx)RiTP(SITh&Sie%RI4`)S)48$∩(dh'∩HD_&⊃i∧h%RITH$∪iE8(TJ∀h%U*¬ (∀)E'∩jDh&Rj%⊂&∀k∃⊂#∩je⊂$∩I∀X&R(d $RH4P"Q)∧H#Q($`(∪IDH%Pi∧X!Qi∧(%THt("QhtH)∪hTH$⊃h4H$⊃Hd(!P)∀("⊃HtX!∩Ht( Rπt_%⊃(d( P(4_$QHT "Qi∧0#Sλ$(%PHD@$∩λ∧8$⊃i∧H$∪J$p%∀
∃λ$SHt@$T)DX%T*¬((Sj$X'∩)4@%∀i$h&RItX#SJE (∪)dx(∀itP'∩j¬('∪
∃)UjEλ*TJdh&∩j5_'∩(t`(∪	$`%∩I$x%T)E⊂'S	U_&∩J%0)∀id`%SJ∀P'∩I∧((∩IDp%SI$@$∪)∃'Si∃'∩)∧@&∩(dP'S*$x$R
¬_%R)∧p%S)dp'∀itX#∩iDP!∪	∀($R)$8"∩iD`'T)4`"S	e⊂(Rj%_&∀	DP'T*∃λ'∩IE(∃	Tp'∩i%λ(∪)U⊂*∪i∧0%SHdH%∪)4p&∀+¬8'RJ¬((∪)∀h(∀	e(S*¬λ'∪Ju8'∀)E0(UJu &RJUλ*∪ie.UJ∧h+⊗	u,∀*U@(∪J$`'TK¬X.∃Jeλ'Sj$x(T
∃(*TJ∃0'UJ5 (U*∃λ&∀*4x(T
%λ(T
E %Sj%λ$∪	uλ'∪*$h(∀I%_(S)t`'RiTh'SI$H&∪)DP%∩J4p$RJ¬λ(∪)Eλ(TiTP%∪I∀h%∪Id`(RHd`'Q	¬⊂%∪hTX$S	t`&∪HU)∃	dX(∃*% -∀Iuλ&SJ¬_)∪)Dx)UJ%(*S	u(T
U&∪	d`%T
¬'∃
∧8!RHTp%∩)Th%∩I∧H%⊃i∀0%Rh40"S(4X QhT0 Q	∧@#⊃	∧X#Qλd⊂"∩λ4P"RI∧P#⊃hD8%S)D8&S)∀H&∩)∀($∩	∧@!Q)∧X(⊃)∧`#R(t(%Qi¬&RλT(#∩i∧0"∩I4H"RItx(RI¬⊂(∪*U((∪IDh(Sidh%R
¬λ&∩htP#∀)48(∪J∃8'Ri∧x'∩I$h'RiTp'SJ∃_*∪i∀p&∪I4p'S)u_%RI4P&⊃	∧p)∪Iu &Tj¬&∪	∧X%T)DH&⊃i$@'∪)tX$QJ¬ (⊃i$8"RhdX$R(tp%∪i∀X%RHtP"∩i5$∪Ht@#S	TH%S)∀X$∪IDH#⊃)∧0%⊃(%λ$Si4P"∩	$H'R	∧X%∩HtX"Q)∧X$∩i4H"R
∧P$T	dP&∩	$(#∩)∀8$∩)%%∪IU&RIE⊂'∪*5⊂%∪*dx(∪ie'∪JU⊂)RiE(∪*%⊂%SIdX'TJ%&∀*%*∀Idh)∀)dx(UJ∧h+⊗Jdp#∩J¬⊂&∀J$@&Tj∃⊂.∀ID`)∀	E0(∪*∀x(∀	E,W
u_)∀J$h&Tj∃λ)∃j∃λ(∪j∧p%∪
%0(T*4x)∪*∧p'Tj5@(RiDP&∪)∀`&∪IT`$∩Iu'S	u_)RI4X*T	T(#RItp%∪
$X%∪(d_#S	∧X&Shd8&∩iD8*U)Eλ(∀)eλ'∪IE)∪
∃λ*∀*∃(∃*∀`+∀J%$∀
U %S*tx&∪I%_)T	e&∪J∃0&RJ∃⊂#RId`&∀	4h&SI∀@(∃+∧`$⊃)∧p$Sλtx"R)D@$S)∀P$RI4@"⊃λdP#SλDX%⊃i∧8%R)∀8"∪λTλ$∪(dH"⊃(Sx$QiD(&∩	$P"Q(D@"⊃)∀`&∪λT #⊃hTP(RiTh(∪I∃λ,∩I%λ(∀*∀h'∪i∧x*∪iD@%∪ITh&Tj∀@$∩iUλ&⊃Heλ)∀i∀@'∪)e⊂%∩	Uλ(S*40$S*¬0&UJE(&S	U(Sλt`%SITP%∀i4x%∪	∀p&⊃i4H&S)∀p&R*∀P&Ri$P&⊃i∀H%∀i40"∩	E&S	∀X%∪*∀P&∩Itx&T)dp(∩I4H%S*∧h(U
∃(∪	e 'R)T`$QI∧8&SI$ "Q(4@)Sλt@"Pj∀(&S	∀H!QI4p&∀*$`#R(TH$SitH#Q)4P#⊃	DP#Ri¬)∀	4`&∩HdH*T)D`%∃)$P&∪	th$S
5λ#∪)4p)∃)tX'SJ¬ 'SλtP)∀	U⊂*UJ5_&∀j∧@'∃	t8&∃
∃8)U)u@'S)DP%S)%'⊃)5 )Qidh*∃jU⊂*∪
¬'∀
¬%∪itX(∀)th&∪	TX$∀
%0(∪ID('S	%⊂'U	DH$RIU⊂$R	∧P&∀)tp'R	d`)∪	u_&∩j∃P)TJ∧x$Tj∀p'U	TX&Qie⊂'∩I∧`&∪)4H&∀*5λ'∀j$x$∪I$p)∃*E&SJ∃0(Sj%_,U
∃ &Sj4x(TJ∀p)∀jE⊂)SI5λ)S)uλ(∀je'S)$x$⊃($ !∪)∧X'∪
∧p$∪JdP&∩I$8&RH∀0#R)∀0#S)$@"RiT0#R	$ #Qht 'RI4H#R(∀0#⊃I∀H!Qi∀ #∩(CH"⊂hdH"⊃I∧0$⊃I4H(∪)∧h$∪(d`%∪
∧`%T)E⊂+∃j∃ '∪k∃P(TIdp(∀JUλ*TjD`(T
u0%T
¬λ(Ri$p'∪	tX'T*$P(T*∧`%∪)dx'∩*$@(⊃IU'∃*uP*TiD`'∪)Dx&Sj¬⊂&S)dh'T	$X%∪IDh&S)4x(∪J∃)RId`%∪iT`%∪)T`%SIT 'T(T@%∪	E )TitH'S	∃ '∃*Eλ%SI4@+TJ∃ (U
∀H&∪
∃$Qi40&∀	d`&∪iTh%∩idp&RI4H&SIuλ#∪itX$Si4@"∩)∧(#⊃)$`#∂h48%S	$H&∩iDX$∩	d@"⊃iTp$SID8(∃)tP%R)∧8'∀	4`'SiTh'∀)$h&TidH$∪IDp#Sj∃('TITx)∀iU⊂(S)4x(∃
∧P&∀IDx+∃
$h%S	5&∩)∀h*∀*$`+∪j∧p(Uj∃⊂&S	u()∀J¬%T
∃ (TJ∀p&SIe%Rλ4_%S(e_*TJ¬⊂)∪JUλ"SItH&∩ith'∀	tX&∪J¬λ,∪jU8,∀*∧`(∪	E_'∀i$8$P)$h&T	4`'∀j∧`%∪I4H%Si%$RiTP(∀*$h'∪j∃_'∃
DX)U*∀`(T
∀p'SiE*∪itp'∩)∧@'∀
∧X%T	u(∃
∃⊂)∀	4X&∩)Dh&SId`&R)4h%Tλd⊂%∩iTP$∩λd@"⊃Ht@%Qhd@%∩	∧λ#⊃HT$∩I∧8&⊃(tx$⊃HDX"Qi∧( ⊂hD #Pht@%⊂	TP$R)∧X%Si∀h#⊃J%($R)dX"S	u⊂)∃j¬0)∃
uH*⊗
E_+⊗
E +V+%⊂*UJE@)Uk¬0+∪*¬λ&⊃j∧`(T%'∪ITx'S)5⊂)∩*¬(T
U⊂)∃Je⊂+∃j∃P+∀J%X*∪	∀h'∪ItH$S
¬8,⊗)dp+∃*4p%∩j4x'R)DX'S
4X)S)Tx$TJ∧P$∩i4x&∪iDH%∩HtH$S	$h'∀J∀h$T*e⊂&∪λtx&Sitp)Uλuλ(∀)40'SJ$p&T	∧h%∩iE'⊃i∀8#QiTx#S)4P$∪i∀h%RHT0$Rht0!R	T@&∩)tx&Ridp'S
∧p$R)∀X$SITH'∃)TX'∪ie_(∪iDx&∀
5⊂)R)tx(Tj∃_(∩)t`%RiE⊂(TJUλ%Si%&RIe⊂*T
%⊂)T)$h'T	∀x*U)Tp'S	$p(⊗
4x)TI5_&T)TH&U
Uλ'∪i∀P%U
%0&RIth&∀J∃λ)S)dX$RiDX'Sj∃_,∃*$p(∪
4`(∪)tx(∀	$x)∪)E*RjE&S)D@'Ri$p$S*∧H'∪j$x'Rid@&∪)dh$∩I5_*∀)$H(T*u0&∃j%%U*e((∀*%&U	Th$S	∀p(∃λe⊂)∀)4p#⊃IT@'T)tx(RJDx)U*∃ ,∀)TH#R)4h'∃*∀p"R*U⊂(RhTλ!∩(dx%∩	TX$⊃H∀λ!⊂	4P#R(DH%T	E#∩(T($SHSh!QIdh$PHT@"⊂(∀⊂$∩i4P'∪)40'∀*∧p)∀iDp(U
5_&R(t`&∪j∃H*SjU0)∃*u@,U,%@,∃5h*Ul¬0*∃*U@,U+¬_)⊗*$`%T)e *∃
th'∀	tx'∀*e@*T	Th(SJ∃8,↔
E +∀k¬0)Uju()∪)U⊂)S)dh&∀*E(+∃Ju0/⊗
E0)∀ju((∪K∃⊂*∃
DH)⊗)u⊂(∃*U_*T	dX$∪i∧0&∀i4X'∪i5)T	%_(∪)dx(∪	eλ'S	4h(S)T()S	4`&SI4`)⊗*∀`)∀I$8'T	Dx'∪I4X&SHd`(TIt`#S(3x$∩HtH%T	∧P'TIE&RI4h&∪)$x'∪)∀X#RjE8)∀ith)∀*∧h'Titx%T	t@#Rj¬8)∪i∧X'U
E0*Rj¬_'S*∀x'∪*¬λ$Q)T`$RJDX(Vj5⊂&∪ITp'S)U⊂*∃iDH%TiTX&S*∃_+∀JDx$∀
%0'∀J%λ+∪	th'∀Iu0&Tj$`&SJE*U)uλ(T)U'∃
Dh(S*Th+∀JU %T)4H'Rj∧h(∀	e'Sλ4X%∀IU &∀	4p%SJ∃⊂(∩ITH#R	∧x%S	dP$R)4x'R	dx%T
t`#T*$h"∩j¬⊂%T)Uλ%∀	dX&TIe⊂*S	T`'∀*$X'∪Ith&∪J5)TJ∃⊂*T
∀H#S)Th$⊃iTx%∪J$p&RITP'∪)∀⊂"Qi∀λ#∩λt`&⊃I4`"⊂hT@$Rλt`&⊃ht@$S(4H$PhT"RHD(!QHT_#∪	$_#R	D`&∩)∀p(S*∃ '∀
∃⊂$SIe_&∪
%)TKe0-Uj∃λ)Uk%_&∃
E⊂(∃¬(,V*Dx)T*%(-Tj58(∪
5_+TItH&S*5λ(V*e%∀*Dx&∩)4X'TJDp)∀+∃H*TjE (⊗JU +∀*∧x'∀
∀`*Uje⊂)T*u'∪	E⊂)∀J%λ(U
u_'TJ∧H(S*¬_)∪*5()TJ$h'∪I$p(Tith&∃
E'∪*%()∩i4h'S	50,∪	Dp&Ridp&S*∀p(Ri4`%SJ¬0'∩iUX(T
∃ &Sie&∪(d0$RidP(∪I∧p%S*∃λ$U*∧P%∪IT0$S	e⊂&SI4`$RIe&SIt8%S*∀p(∀
Eλ'∀JUλ(∀*4x$SJ¬(*S(tX#Sk¬P-∃*u⊂-∃
e '∩j¬λ%TJ4X'∪j$`)RIU(∪IDx%RIT`&∩)U⊂+∪)dX)UJTP'T)t`$T
¬⊂'U
∃λ+T	tX'∀∃⊂*U*4x,∀*4P(T)u_-∃
¬)UJ∧h&∪j5_$PI∀H'S	u(∀
∀P'S)$h%∩	u0)∩iDx&T*Dh&∩)$p(S	∀P(∩it`&∀jE(∩)∀8&∪Ju8'RiTp&S
¬λ(SJ4P&Tj∧x'SiU_*T*∃($Q
% &R*4`%T
¬ +UJ∃(*∀i∧h$∩I$@#∩I∧H(S*∧X$R)dp#Qi∧0#∩	$h&∪i$P$∩hd8#⊃Ht("∩(dH$Q(dh$Q	$H"Rid8#∩I∀(#⊂HT8$Qi∀X%Rλdh$Q)DH'Qj∀`#Rj∧x%QiTx'∩)tx*⊗K∧x)UK%X,T+∃H*∃*%(*UK∃_*UJ∃ )∃J%0*T*%λ'Tj%λ+∀iuP,∃)T`,∪j%⊂(T)T`'∪iTx&S*∧P%Siu(&∩I%⊂&T*%λ)T
E 'V
∃'∩I4H&S	E((T
e 'T	Dx.V
5⊂)Tj$p*∀J∃&Ri∧X&T	tx&SJ∃_(∀)tp&T+%_'∪jdp'S	e_*∩)∃⊂*∩J%0(∀j% )∪	Tp&T)eλ)∀)4X(∀
Uλ'∪	u (∪i4@'∪iU⊂%∩	Eλ'∩hD`'TIU⊂!T*Uλ(∃	th'S	th)Sj∃'T*D`%U*U_&SjE8'Sj∀p)∃*4x(UJ∧p&SI∃λ*∪	∀h)SjUX'∩j$x'TJ∧h*∀)u_+∪+¬@,∀iU)TIdx(∪J∧p&T)u(T	$`'TJTp+⊗JE (∃*E⊂(Ri4x(∪iTx'T	tp)∃
∀`)⊗
u,∃IE⊂)U)Tp*∀
∃_)Titx)∀	Tp)S)$`&∀*5⊂(S*%+TJDh&⊃ht`&∩H4`(∪IU⊂(∪i∀H%T	T@%UJdp'∀iu8/T
∧h'∀*¬ 'SIE_*TIDx&∀Idx(Tj∀x-∪idx*∪J∀`'QIdh$∪*$P$S*U⊂*U
%⊂+TjU⊂)∀J∧x)⊃)D8&U*t0"∩J∧X%∩ITP%RλdX%Sλ4($SIT@"Rλ48"QhtP"∩($`$⊃Ht $∩(d@%⊃HTh#∩	$H&∩i4H"Ph40%SIT@(⊃i4h&∩j∀x%⊃ID`#SHtx'∃ke⊂)Tk¬ *∃
U8+∪+¬(,UJ¬⊂'T
5(%Rj¬_(Uk∃(*TK¬8+U)u`)⊗
Th+∃)Eλ+ShdH&∀IEλ'∀
Dx(⊗
$P)∪	U(T	E⊂)S*$0#⊃Ie'S)T`&∀IDx)S
¬⊂$U
Tx'∪idP$∩iDP(Tλt`&RItP#S*∧x*TITx)U*⊗,Ti$P$S
∃⊂&T
∀x*∪i$h&Rj∃⊂&S
∃λ'T	4p*Sie)T
∀H*∀j¬λ$S*E⊂'T	Dp*∀iE0&R)∀`%T)Tp%T)4X'Sj∃λ'∩j$h)∪I$P'Sj∧h'TJ∧h'∪IDp)∀jdx+∀j4x(∀J%λ(UIuλ&∀iEλ)T*E('∀J5⊂)∀j∧p(∃)D@'∩)5'Skdh$∪
¬⊂(TjDx)S*∃8(∀j5⊂+Tj∃(*Sj¬_/⊗	dx'∪i4`'QJE0&∀¬_(∀*$p)∀*∀p'U
5 (∩i4x'R)DX&Siu0*U)dp(∪j∃ +∃	d`&S)u_(TJ∀`&∩IDx)S	5'RITP(∩Iu*∩I$X$⊃iEλ(∀j∧p+∪Je8(SjD`%S
∧h&Sj4h)U
¬⊂(∀IdP'Tidp%R)Eλ(UJu(Sj$`*U
5_%Ti∀h+∀JEH)∃j5@,Sj¬&∪	D`$Tjt0%∪	∧H#Qi∧@%∩	∧0$∪I∧@"⊂i∧@$Qhd`#∩)$p%∩(tH!∩λtX&⊃hd("∪	∧H&∩(tP%∩(Ch≥∂)∧`"S	DX&∪J%%S)dH%RIT`(∪IE_+∃	e⊂*S*Dx-VJ50'∩
uH+Vj¬_+∃
%()R
e0'Tje@(U*e (Wje0'∀*50+⊗*∃(∀j58)TiUλ'T	uλ*T
Dp(S)uλ&SjEP&∪
%⊂*T	e@*RI4x)∃J∀p%T
∃'∀)Th$Rit`$∩I$H&∩htH%Rj$`'∀)Th(∪j$x(∀*50'∩i∧P%∪)∀h(∪I5⊂'RiE@)UJ4p%∪I$x)Sidx'∩Iu⊂'∪id`'Sj∧p#S	uλ&∩)dP'S)∀P*Ri∀H#S*∧p%RI4X'∀	$p$SItX%∪	4`%∪idX'∪	eλ&∀*% '∀
∃8*∀jE_(∃*%λ*Uj4p'∀)5_&∩j∀p%∀*∃λ*∪*¬0%T	u *RIdx+TIdp%U5⊂)∃ju⊂(T(TX$∩j∧p&Sjdh'∃
Uλ,↔
∧`'SIe(+∀
58+TIu0(TIu_*∃JD`'∪IUλ)T
∧p&S)5(U*∃(Sk¬ )∪K∀h(∃
∧`&TIdp(S)tx*S
Eλ$T	dx&∪iTp$SH40&∪)TH%S	dP'S	$h&∪*∃_%S)eλ'Si4`&SJ∃(U	d@%∪jEλ)∃
5 )∪)TH'∪)$h#∪)5_*W
%(&S*∧h&Sk¬ +T
UH)Uju_&Rht0'Ti48#T
∧p'RhtH"RiTH"R)$_#R(DX%Rhd`'Qi∀8$∪I$P$PH$(&RiD(%S	∀@$⊃j∧x#RπCH≡R	U &RIDp'T)d`&SItx'SiTh'∀IuH(S)5H(Sj5⊂%S(dP%∀
¬0*U
eλ+∃
% +∪J5(+⊗*E`+VKU_*∃jE8)⊗¬⊂+∃Ju`,UJ¬⊂*∀*e%SJDx)∃iEH-⊗
E_*U
5⊂'T+5(.TjE()T
DP'Tj%&∀
¬'∃)T #∪I4x$S	∧`%∀j∃⊂'Sj∧h'Ti4h%RHdx$∩	d`&S
∧@%⊃ht@&∀je 'RI$p'∪	TH&∪J∃%SJ¬_'T)$X%∀*∀P'SI4P#Phdh(∩)4P*U)4h(S)∀H%∩)∀@$∩i$`'S	4`'∩iDh)Ri∀H'U	TH*TiDP(∪)tP$RIDh&∀*∃_-∃ie(*∀Itx%S	TX&∪idh*∀	E_'∀	u()∪
¬⊂*∀*∧x)U
e 'T
5λ&SJ4p(∪j$`%TitP'⊗*U_(∪j∃('∪jU0%S	EH(∀
%λ(T*e0)TiU +∃J5_'∪JU_*Sj¬0'∪*$p(T)4x'Tj%'∪j∀x$∩)eH'∩λu⊂&∀J∃%∀)dp'R
∀p*Rj5*TItx(R	∀x%∀ItX'T	eH'∪i5_*T
%('∩i%_)∀	D`'T*$`%TIDh'SiU⊂)TiTX%∀*5(U)∀p&∪j%((TK¬λ&S*%'∃
5 (Siu)Ri$0(S)4h&R)Dx)∪iT`&RI4P%∩ID8%Ri∧P#Ph48%Qλ∀0&∩	∧@!∪)$p$SIT@$Ph∀⊂$R	4`"Q's8≤RI$H%∩	4x&S*¬_*∪j5P'∪)d8%Q(DP(∃+%(+WJu ,TJ%&Sie8*∃*E(*U)E⊂&U
%)Uk¬0-VJ%0*⊗k¬0*∪jeX+∃)u@*U*5H*S)th*TIU(*T*E()T*$p*UI¬⊂(∀je⊂*UjU_(UJ$h+UjE('S)5⊂(∪	U0)⊗
Tp'∩iu )∃idH(V)TH#Sidx(∀*∃λ&∩)∀p(RJU((SITp&R)u*∀I∧P$Ri4h*Si∀p%∩	tp#∩iu'UK4x$R)TP&∪*$X&∪j∃⊂&∀	$8%∀	t`'RITX#QI∀P&SI%λ'RiD0$∀iDH&Ri$P%R)∀`%Q)∧P'SiDP%S	U)∪)$P&∪ItX$∩ith'∀iTx'TJ%('TI4h$∩j¬()∀*%(∪jeX+∪iEλ&∀*e('∩I4h$S	$h(∃¬'∃K%8'T)u()∃J5&TjU ,UjU_(R
$h(RJ∃`(Si4x-∪	∀h%T*u_)Sj%(*∪I$h'∪	tp)∪IE_)∩J4x)T*∧p&∀iUλ&U*%_'Sj¬_(∀j%(∩Ht_&∀	T`#PiE⊂(S*5λ&∪
¬'Sie⊂(∀	%⊂*T
Th(Sidx(∪iTx$∪Ie_(TJ¬λ)U	tp'SIU)T
%'∪J5_*T
5⊂(∀Idp&SitX)∃
∧8!⊃ht`&R	4P&RJ∧p&⊃i$`*THd_!S(tP$⊂($8$⊃htH$RhT8%∩jDx%∩(D(#∀I4_#P'#X R	D@#R	T8"∪ItX&Siu⊂'∃Hu$∪Ie)T*E0+⊗*Uλ*V
u⊂&Tj%8+VJE +∃kTp&∃*%_&∃
%@+W
uλ+∃kU )Uk%8*⊗*EH+WJ%`)VJEH,TIth(∀%)∪*%8(V
5 +∃J50&∀
E&Tj$P'∪iu (∪)∀x)∪	5 +∪J∃ (∃jDx'Tj∧p*∪J∧P(∪*5_'∪*Eλ&T¬0'∩j∀`(U
$h%RhtP$RI$P'S	Tp%S(T8'∀j∧X%∀J∀P#TjTx'TIU⊂(S(tX,∃
∃@%Sj∀h#∩	4p'∀)tH$∩j∀@(UJE&∪	∃)TJ$`(TJ$p(S)tP(∪IEλ&T*4X$⊃	%⊂'T
4p%∪Iu#R*4P'TjDH$∪jDx&S
∃%∪j¬λ(Ri$h'Sitp%RIDx)Sj∧x%∪Ie_'⊃HTx'T	dp)U
$p'SJ¬(,W*e0(TJE0)∩juH-TK¬λ)Tj∃@*T	UH*U*∧x)U*4p(Siu_'RI$h%R	E_(SI%λ&∀)dX'T
∧x'∪Idx&Tie⊂)T	e(T)E'∪ITH*∪J5⊂'∀
%λ)∀idP'S	∃⊂(∀*E((∩i∧p,∀
%(∀)e_(TI4p&UJ$x+∃
5(Si∀p*S
E$∪
¬λ&∩)5⊂)∃e(+T)dp(SJ∀h%R)∀x'∪HTX&Si$("Qidh&∩λT@#Q)∀@$R	4P%∪iTH$Q)D`#Ri5λ)∀
∧p$∪)dx$∪I4 ≡∞'48$∩I∀ !⊃I∧h%RITH'∃jE%∃j∧p)∪	TX(T*E0-⊗
E⊂,U	t`,UIv)∪iTp,⊗*% (TJDp(Ujuλ&UJ5_*∃
∃(,∃ju -W*UH1⊗
uX.W+6+W+$X(⊗*%⊂*Tj%λ-∃JU -∃Ie)T*∃λ*Tj%_'SHt_+U
%λ)UIU_)∀
Eλ)S
$h)∃
e0(∀)5)SiUP+∀jDx'Si∀ $∪	t`(T
T`$SIE⊂'R)$@#RitP&S)Dp+T)dX(∪	4X$∪I∀h'RiTx'S)5⊂(∀)th+∀i$x$S	%λ'Ri∀H(∀	tx'Ri$P'∪	DH$∪*DX#R(d@&R)4H%RI%λ%∀*∧h$Q	4X(∪)T`'∀K4p&Sj$X*∪)U(%QiDX(UIth'∀*∀p'S
∃'∀*¬_(Rj¬⊂)∃	e()∃JU8,∀)u_)T*E0)U
U⊂*TJ¬_%S	U⊂'V*E)SJ∧x,∃∃ )∀J5'S	U_)∀JeP+⊗*UX,T	e)Sit`$TITH%SiT`'∀	T`(∩i58%T*∃(∀*∧P#∪k∧P%∀	Tp+∀*dX$T*∧p&TJ4x*U∧h,∀j$p)∃*e⊂'∀IU⊂)⊗
Eλ'SITh'∪i$h&U
∀x)∩j∃⊂(S)DX(S*E⊂(∩j∀p(∪)$x'U5_*TjE⊂(∩IDX(T)dP&T	e&∩id`&SJ5⊂&⊃	e&∪I$8#P	∀8#∪λtP%Qhdh&∃
∀`&∩I∀ &SiD_$S	4@≥N't #RIt@$S	∧X&∀	48%T
5⊂)∃)th%T)u%U
$p)∃jEλ)V∧X*∃*%(+VJ5()VIT`'TKeH'TJe8'Uk5(-VK5@)SK∃0,_Je`,∃*U_*T*∃0+W*U(.VjU0)TJ%0+∀
5H+∀	u8)V*dh(UJ4h'∃)4(&Tj∃ *∀
∧p&T
5λ%∃
U_*V*T@%TJ4x(T*U8'∪je0,Sj¬H-⊗	tx'∪)5_&S*¬0(V+$`'∪iT@$∪ju(*SiDX&T*%λ%Tj4p(∩IE'∀
∀`&S	dh(S	4X$RHtP&∩i$h%S	TX%R	$P%∪)D`)∀)Dp&∩	4@(T	D8%∀j$@&∪
¬(T)u&Rhtx&R*∃ )∪jTP'∪*uλ'S
∀`(TjTx%R
∀x'∩*%*∪I$@'∀	E0,∪Idh(T
%⊂*∩j¬λ)U
E@'∃
E0(SIUλ)Tj$h&∃*∃(-W
∃λ&S)e_,↔*U⊂$TjE0%∀
¬H-∃jE_,∃*∃_&T*∃@&∪J%&S*%'T)4h'∩j∃ %⊃Iu(∩	Dh(∪Ith&RI4x%Sj$X*TIth(T)u+∪
Dp(∃*%_(∪j5⊂)∪IdH%TJ∃ &∀)e⊂(∀
Eλ%Tj∃0*∀jU@)Sj¬0*∪iE⊂)∪Iu8'T
F⊂,∀	%*Uj¬8.∪j5,∀)Tx'T)D`(∪iu⊂(∩I4@#∩hdX#⊃j∧`"Qi∧X#∪	∧@&SI$X%∩iT`%Qiu%Ri∀@$⊂Hd⊂≡O($`&∩)48#T
∀`'∃
∃ )∩
∃(∀)dh+∀Idh'RJ¬(+∀k%⊂,∃K∃(*V*u_+∃*u8+∪iu⊂*T*U0*∪Ju8+VJuH+Yv-∀+¬@*VJe8+⊗*u0)U
u@-⊗*UH-∀∃_(VJeλ(∃Iu0(∪J5$Sk∃@,S*¬λ*TIUλ&T	u@*Tje8(T)uP'T)E,V
Th(∃J5@(Ri∃⊂'∃	dX+∪iuλ)∀)e8*Tλdh(∃*E8*T
¬8,U*$`$R)D@(T	4P%U*5 &Q(t0(∃jtX%∀
∧h&S*%λ(∀IdP%∪)$X%T	eλ+∀)$@#∩i5'∀j¬ &SiD0'∀Id &∩iTH*∃J$X%SJ5_(S)Dh'∪+∧x&∪*U(∩iDx)∃)5*∀)dX(⊗K∃(∀*E 'Siuλ(∀J5(∀*%⊂+∀
∀x$∩)Th&S)U_*U*Tp(∀j∃λ'Sj%0*∃K∃X,∀iu*∃)u (∀*dx'∀j%λ)∪ITX)∪*Uλ(∀jdx+⊗*U()∃Itx&∪J∀h$S	TX'S	Dh&∪J%P%∪
$p%∩i$X&∀hDX&∪i48$S	∀X'∪j5⊂'Sj∧p(∀Jtx*∃
¬'∀j5*∀
DP)T)dx%R)tp(Sj%(&SJ∃@*∪I%((T	5 )TK¬(&U¬λ&Siu .⊗λtX(Sje⊂+∀JE(SIuλ&T)$p'∩i5 &R)4`#⊃(T@)T	dp%QiDH%RhtX'∩i∀p)∩IEλ+S)e%∪I4h%Q'SP≡R	e"R	$0$R	T`#∀	e(∀)e_-∀)4p)⊗)u%∩j¬λ.⊗JuH(S+EH(∃J5_)∀
5`-⊗
5H*∀	u )U
u_*V+¬0*⊗∃@*∀j5_'SjuX,∃JeX+VJeH'∃Je8&SJUH'∀*%λ-∀)uλ+⊗k∃()Tie'∀
%0,∃j5_(∃
U@(VJDp)UJ%λ(∃
¬λ)∀Ith'∀
¬λ(T)t`&∀	Th+∃J$h&∃*$x)T)e_*∃
E@)SJ%_*⊗
∧X'∀	∧8$Rid`%∪k%P(∪*¬_'∪k¬()∀)E *T¬λ&T
∧H'T	tH#S	e⊂'∪)tH)U)4X&∀I∀x%∀*∃λ(∩j∧h%T	Tp&∀
∀p'∪Ieλ%∪	4h'TK∧p'∪j5_&UJ∀`'UJ$H'S	T`%∀)th)∪
¬8)TjE_-Uith)∃+5(&V
5_(∪*%&∪idx*⊗
∃_,⊗jU $T
Tx(∃J5⊂,W*u⊂&Tk%@'SJ5λ*∀j5 (∩HtP)UJE('∃*%_*Uj∀H&∪*U )∪)e -SjEλ)∪IE0'T)Dx%⊃)$P%∩)dx#SJd@&Tj∀x$R	tp'R)u(.TIDh'∪jEλ&SI∀`+∃¬λ)∪Iuλ)∪I$`(∀j4h(∪)U8*Shtx)SiDp+∃*¬8-∃J∧p'U*E'U	e +∃J∃&∪Ieλ'S)∀X%T	T`(T)d`'Qi4X$RItx%Qλd0#S	∀P"R	∧X"Q)$⊂"R	D8#RIDH%∪	Eλ(Qitx)∀*$(!∂GT`&R)∀p'Rλd@%Sj∀`&⊗
%8*∃*Tp)∀*%&∩Iu'∀
UX*∀)u0.U	E⊂)∃j%_(Ujtx)U
uH(T*4h*T*eλ,∃Ju(+UE *V
%0*T
EP*V+EP)∀K5@)Sj∃⊂%SJE`)∪
UP&S¬`)T)uλ&T*U@,UJU (SJ∧h'RJ¬λ&∃Ie(T+∃ +∀)e)∀ju@-⊗
E⊂'U*Dx'WE('∪*E +T
u`'∀iuλ(U
∀p&UJ5⊂(∀Ie⊂*∀)T@"S	4x(∪jTh&∀	e_+∃*u(U
DX(∩Ie_+∀jtp)∪*∃()SJU(*T)u&S	Dh&S)u@'SI5)∀
¬λ(S	Dh&∩J%_$S	$p(Tje(.∀J∀p(UJTx+∀	Dh(∀J4p'∀jTh(∀)5(∃)E_)U	E@)∀J∀x+U*e(+∀	eλ'TJ$`(V+∃((⊗*∃0)∃
Eλ(∃
Th)∀IUλ*∪j%((∀ju('T)e +TI∀P(SJu0*U)∧`)∪IDp'TK¬P,U)%⊂,Sj∃⊂)RIDP)∀)4p'∩)∧`(S)d`#∀)4 %U	eλ'∩I∀H'UJ4`)∃*¬&∪k∀h$SIDX(RiDX'T
∀h)Sj5⊂(∀iD`%TIdx&∀
4h)∪*%(U*e*T	dx+U	∃_)Tidp&S)Tx$∀	T8%∀i4x(∪*%_)RI$H#R	∀`(∪λT`&∪	48%⊃)∀X)∪	TH%⊃H48#⊃idP%⊃hdX$S	t@$∩(∧(&R	∀P N'48%∃	4x'∩I$@"S	%_)SITh(∃
U&Si4H&S)UH*∪iE0)UjDh&∩*U⊂%∀iT@)∀)e⊂(UJ∃P'UJe'∪*Tp(T*uλ*∀)u '∀*∃_+∃*Eh-W*eλ(∪j5@)∃*U8/∃j∃ /∃
E_,U	5(∃Juλ'Tje@,⊗K5⊂&∪juλ*∪ieλ*T*uP)∀JE'T
E8*Uiu_*∪kU &∀J%λ+∀JEλ(U*4x.∃
5*TjeP&∪k%P+VJ%λ)∪)t`,Tie⊂%T	∧H#∩)∀0'SJdp)Sj∀x+∀*%#Rje0*∃
∀x(U*u_*Titx,V
dx'∪IT8%SIDx'T
∃8+∀
$X(S	5⊂'SiTp%S)e_(Tj∀x%S
∃_'T
¬⊂)∪k∃_(∃
∃ (∀*%_*TiDX)UIth(⊗JU8*∃
∃⊂+∀j%('SiE*V
Dx'∃
E8*UK¬X+Vk5⊂)VJUλ)∀J¬(+V*¬_)V¬)T
%(∀J∃λ.∃jU⊂(∀
%H*∀j¬0,UJ∃ (∀*¬ .∀j5*Tiu(T*∃_(QhTX(∪*∧@(∪I∀h'S
∃)∪I$⊂%SJ∧p&∪J¬λ%T	Th%S	∧H)S)e(∪iTp%T
∀@)∀*∃λ(T	e_%S	U%T*E&∀)uλ+TJ5($Ti∀h&S	∧h(SIu)TJU0%S	%_)Tiu+∀Itx&R)4x)T	4x*R)40"QI4p#Rλ∀ (R)∀⊂$QI∧`%∩	$P%RhT@&∩)4p$∀	4x"OhDH&R	Th$Ri∪p%∪	40'∪*∀p(∀i5'R(d8'S*¬8*Tj% ,⊗
$`'U	DH&∩	uλ&∩IU@*Sj4x(∪*∃@+U*$p'W¬()U
e8)⊗j∃ 'T*e()UjEλ)Siu0*V4`&⊗	U⊂(U¬0(∀IuP+VK¬0)T)e8,V	e +T*∧p(Sj¬⊂'TjU0+T*5_%∪*dp+V*uX+∪jE0)∃*Eλ*∀J50(S*T`+T
5λ(U
U0(T
U *∃)Tx&TJU0*∀idP'∀*Tx)SJDp$⊃I∧`*∪iu_+V%((∪ieλ(SIth)T)∀P'Tj∀h(∀J¬'S)4`&TItP'SiTp&∪
e⊂'∪)u0&∩iE()TIdX*∀)u&Riu⊂'SJ∃λ(∃j4P+⊗j∃((Tj∃ (⊗*$x(VjE_)U
U()∃)th'U*5λ)∃
%H)∀*5_+T+%8(∀J$h)∪)TX)∃*e@'V*5(,∃
%λ*U*50)T)u_+∃+∃⊂*T*u0+SIu0)⊗+∃P)SJ%)T*5*V5(&T⊗⊂+∀*%(+∀λd`*∀ItX'Sj∃8+∪)U*UjTh%S)U0'S	e⊂'Rj∃_'∪	e(∀	∧p&⊃I∧`(U¬8,∃i∀`&Tidx&∩j$h&U	Uλ)∪)eλ)T
∧x&T	dP%∪jD`(∪J4p*TjU⊂)TIuλ(S)dp%∩iTx(T
4x%U
∀(#∩)TP$⊃iD`&∩I∀P)RI4H$∩I$p&∀	tX'∩	tP(RλdX$∪)tP%∪	d"Sj4p%∩itH%RI48%∩)4_#Ri$($R	∧@%∀)e +∀
¬_(SI∀h&T
$X&∪
¬0*SiE('Tj∀x#∪*e0(Si4p'∀	d`-∃k¬H*∃J4x*SJ∀x,V
¬ ,Tk%x*SIU(V	T`%TkU@*Uje (SJDh&∃
%0,∀*%`,RI5_(∪J∧`&Tje⊂'TJ∃P(∪k∃)∃*E0&S*5H*Sj∃&Tieλ(∃J∀x*∪j¬λ+∪ITp'Tj∀x&⊗
∀x+⊗*UH(U+¬λ&T*¬_*UJ%(S)Tp(TIuλ'∀ju (SIdh#⊃	$x&RiU&SIdp&T
T`(∪j∧h&∪	40'∪)Tp)∩	∃ *∃	5 )∀i%'Ti4x$∩	4x(∀)tx(TJ¬ (T)U,∃*∀H(T)dh&Sj∀x+Uju'UK∃H*Uj5*U)uλ(∀
u(.∪j4p(∀Jtx)⊗*u8*U*5λ*⊗+E(*∃
U'∀JUP+∀jTp*TjE(,∪	u⊂&∀)u ,∪j∀x+UJE8*U*th)T	u0.⊗ju@'T
5@(∀
U_)∪h4λ(∪)5&∀
U0'R
∧X&UJuλ&∀	U*Tj¬⊂*∪iu*∀i4p%Tie%U
%λ%∪JU(*∀)$`&∪jdp%∪j∃ (∪	tx$S)Tx(∀j¬λ(TJ$p-∀itp'TJ5_*∀∃0(∀	∃⊂(T
¬8)Tj¬λ%∪idX$Ri∀`#RiD@%QI4h!⊃	∀P$⊃i4P$QiTh&⊃hu(∩IDλ$PI4@'⊃i48'S)4λ$∩i$h%⊃i¬λ$QhTH%QhdX%Q)4X%∀	∧H&∩λTX+T	∃⊂*T	T`'T*DX'∀
5H'U*∃_)TJ5_'UjE⊂'SJ∃@%∀j¬0+∀j∃(.UKU8+Tk∃P+T
Dx(∪Iu('TiE(+∀j∃((∀j∃)U+¬λ'∃*5λ)∀
∃0.↔)U(*U*E⊂*∀
e⊂(∀*T`,∃*e(T*Tx,∃k¬8,∀
58(∀jUH(TJ∃_(∃+∧x$TJe -∃JU ,Uj∃⊂'U
Eh,∀
50+∪*¬⊂'T
∀X&∀*5⊂*T*$x(∀)tp+∀*%)∃
%(&T)Dp*∃*e8(Sj∧h%T*e%Qj$p'∀
∃λ(∀*∃λ+∪j¬λ*∀j¬λ*U*∀P&∪Iu@'U	Dx%∪)U⊂*U)U(&∀	4h*U*5 'U
50,U)d`)∪j5(,U
5_*U	eX*∃	5)∃*∃,∃
¬ (U+E⊂,VKUh-⊗*U)⊗+¬@+U*%_(Tdp)∀
∀X(T
∧0&T	Uλ)∪i4x*UJdh&∀K58+⊗JuP*∪j$p+∃k∃_)∀j%_)U)u8%SI∧@(Sie⊂)TjTx)T)Tx)TIu *∀
¬⊂(∀
∀h*T*∀`'T	Dx'∪j$x'U
¬0)∀)dp)∃Je0,U
∃ *Rhd`'TITH(∪jUλ(RI4X(∀j$`$∩iuλ)U
5_)∪)eλ)∀J4x+Tj¬&∪	dp%∀ID0$∪h∀8*∩	Dx$QhtP'SI4`&⊃i∧`$RiTP&∀)DX'R)TX%⊃(dX*RI4`)SHdλ%S	d8'∪	∀@%∀	∧P&∩I4p%R)∀@"SiDH$⊃i4h&T	∧h)T
5*∩
4h'∩
%λ(∀*∃λ*T)5λ(∃iTx(∀Ie_(T
%_+U*∃_-∃	e )U
U8(SJ∃X(T	e⊂)Tj%0)∃K%@,T*%@*∀
uλ(Uj¬_+UK∧p,V
% (Tj%_)∀iU +∀k∃*SJd`'T*∃(*Vj∀p(⊗*EH+↔
∃@(∩j∃ ,∃)u_#S	U0(∃je_+Uj5⊂(UJ%⊂+∀iU⊂(RidP)∩)tX&S	u+∀J%⊂)T)∀p*∃∧`*∪i$p%SI¬⊂%∪Idx*∀	tH(∪	$p#R)u+∀Idp'Si5⊂)S
∧x(∩)th&R)$h&∪)4`+⊗*¬⊂(U	u⊂'SJ∃λ&∀iu⊂+T
U_&S+¬8(∀*∀`(S)∧X(∃ie@,⊗
5 )∃j$x(∃J58(S)e(,⊗Ju`-⊗+% 'Uj5(*⊗K∃8)U
5P+⊗kUλ*∃
U_(∃*u&U*∀p'∩Iu'∀*e_)Xk4x(Sk58,⊗JE_(∪iu⊂(∪J¬λ(∀j∃λ&U	$ #Ritp+VJU⊂'⊗jeH)∃
5(∪)E*∀*5(&∪J$h'SK% &RJ%@+∃JE(*∀Ju_)∀
e_'⊗K$x,V*U0*⊗	t`(∪iDp+∃	dH)∀
% )SIeλ&SjU_(∀It@&∪)Dh'∀J4x&SItH"S
$h$R(th(QidX"R)$P%S)U⊂$R(d@"∩IT('∪	d@$QHD(#R)∀@#RHd_&∪I∀(%⊃i4`%⊃iD_%∀ID`#R)4X&∪IDh&S)$`&QλtP&SiDP'TK∃)∀	TX'∪I4`'S)tp)T)∃'S	U&⊃	$`'∪it`(Tie⊂'∃
U_)Tj∀x'TJe@+Vju *∃*U@,Tju8(T
E`+VIu&∪*∀x*TJU)∀J4@&Tk%@,∀
5⊂*TJ$h)∪IDp*T*$p)∃k5 .↔+∃)TjE(Riu0)∪J5⊂'∪
E($V*U(*∀*4X(∀j∃8(Sitx&∀j%(*∃∧p'∀jU0(∪j% (S	4p'T*5_(S*5((Rλd`'Ridp%R
∃('∪j∃ (∪
th*S
∧p'S	Th%SiDP(SjDp&∩)∧X&∪	Uλ)∃j∧x+∀j∧x'∪*4x(SiDp(∀J4p&Sj¬0'Tie )∪)Tx*∪iuλ)∃Ju8)∃k∃ ,X5_+Tiu -V*5 0W
u_,∃*E8)∃
e('U¬8(TJtp*∀jDp%S*dp'∩j∃⊂(∩ID`&T
E@(TIu*∃J5(∃K¬ &U	5(∀I4p(∪
4p&∀)D_ RI5⊂(∀Iu8)TJe%SJ5⊂*∀Iu)∪J∃λ)Tj5(TI$`(∩)4x+∃K¬0*∪JTp%Sj∧p$⊃	uλ'SI4@%∀*%λ(UJe⊂(∩ie(∃*¬0(U*E('∩iE⊂+∀IE_,∀*$H'Tj¬ '∀J∀x(RJ%$⊃I$p'∀	∀P&∩ITP$∩i4X$Pλt0$R(d@'SIT@!QHt@%S(tP$∩I$h%∪	4X Q)∃ &∩I4P%Si∀H!S)∀X&∩IDp&∪)t`&⊃i∃_(TJ4x(TJ∀X%∪hTH'∩i∃'∀)T`%T	DP&∩I4@$⊂IU⊂(∀k¬0'∃
∃λ)∃K%8*↔+¬@,⊗+E⊂'⊗Jdx*∀J5(.⊗jE8(T
5H,Tj∀h)T*¬λ(∪j∧p%T
%_.∀
∃⊂*⊗JE8(V+∃@(S	e*VIE()Tj∃)⊗k%⊂+∃
∀h*Si5λ)∪jUλ*∀i5λ(V	tp(∀k∀h%TjEλ+∀
4P'∀*¬H)T
dx'∀J5⊂&SI4`(∪
dx(∪)4x&∪	dh'RJeλ&Sj∃P'∪j∀p*∪)5_&Sidh%∀
Dp(∀iDx'Sitp*∀	dp(∃j%_&Rj5P'SiE0(∃J∧h'S)e((∀
$x,UJ5λ$T
$X(∃
E_+∀J$p'∀)5)∀*5λ)TJ¬X-⊗juλ'Tj50*∃∃H(TiU⊂)TjU8*∃jE_)T*5(.Sj∀h(U	e )∃*5@*∩j∃⊂&∪
¬'S	t`)SIU⊂+⊗
E⊂)Uj50)SI$8&TIDp&S*∀p&RI∧_∨∪	4p*∀Iu&S	$P$T*5λ)∩j$X'S	U(∃Iuλ*∃*4h+∃)e⊂)∃
4x'Uj4X)∀)T@&∪)U@+∃
∀p+∃	Tx*∩j¬⊂'∩*∧h%S)e,SjE⊂&∀jE*∪)∃(+⊗
E0*U*¬_(∪)e⊂)∃idp+∃	t`(∃
4x#∪)Dx)SItx(∪
∧X#⊃idp&R)48#S)∧P"⊃λdH!R(tP&SHeλ$RITP&∪iTx'∪	$`#Qht_$∩λDx%∩J$`)R)4`'∪	$('∩*∧`&∩)4p)Ri∀p'⊃I∪x%T
$h&∪ItX#RI5%R*4h+UK¬+Tj%H(T*u`+V
Dx(VkE⊂)U
%*VK∃H*TJ50'SIU )⊗
$p.∪iU+V
% *TJ¬@+SJ4x)⊗)Tx)∃
U_)UIU )⊗J5)VjU@.∃j%)∪Ieλ,∀J∃ *Uj∃_(∩I4x(TJ$x&∀*∀h*T	d`)∀iu⊂%S+∧h$∪IDH&T	D@%∪	d`'S*E⊂(S)dp)W*e⊂'T*∃ '∪	$P$∩iTh(RJ5@*TI4x%TJ∃_(SIU⊂&Ri$`+⊗k¬ '∀juH'T	u)T*5((∪ID`(UJuH'T*∃'∪IU'S)∃ +⊗)tH(∃*Uλ'UJdx'U
∀p(∃*$P$S
%_,U*5_)∃+∃()∃+∃X*∀
58+TJ$x*∃
Tx)⊗Uλ(∃)Th(∃
E⊂"∪J∧@$S)Tp$QI$@%U*$h*∪ie⊂&R)4h'RiDx&∩J∧H'∪I∧⊂≥M'tX&⊃j$p%SJ∀p)∀Itp$RJ∃0%R	e_&RidX%SJU@)∃)4`'SiUλ)∀	tX'S	∧`(SjE&S	D`(∀	u((∪J∧8%⊃I∀P$S)∃%∀
e_(∀	u8+U
$p'Sj$p(∃J∧x*∪j∃λ&Tit`*∀*¬ +VK¬8(SId0&∪I4p'∪)dh$T	4h&∩ht8$QλtX$R	$8$Shd@$R)4P&T	∧H$RiDP'SiDx(∪i∧X"QhTx$SI$ $⊂iDh(∪	4p$T	∀8&∪)4 $S)DP&T	u⊂&R	DP&∪I∀X&TI5 )∀*%λ)UJ∃0,∃)Dh)UjE⊂*Tje_+∃
¬ .∃IE@*∪jEH)TJ∃ )∀JE⊂*∃JE_+∃
U0(TjE +∃	4p$T*U'∀JE8*∪Je,∃JU8-∃)tp(∀K¬(&SJ5λ$S	e⊂)∩I∧p'∪)tp&∩ItP*S
∃H(S*∃8*Sidx,∀Id`'TI4X%Rieλ)SITP$QhD0&∪)$h(T)U((∃*∃⊂)∀IU0'∪)∃'∪Jdx(∀jDx)∀)dX(S*∀x'∩iDH&Sj5 *∪idh&TjU⊂(TIDh(∃	u(&∪	Eλ+∃*4p*∃)Th+∀j4x(∀k5_(∃JDp)∪)u-∃
¬(,⊗k∃(+↔J∧`+∃+¬⊂'SJ5λ+⊗
4h)⊗K∧x&∃¬)∩IE &TjU()T	e (Uj%⊂(T*TX#SiT0&S)Dh&∩I$H'∩idh(∪I4p%⊃j∧x(∪Ieλ(SIdP&∃
∧P"NπtH%∞Huλ&Ri%%QIT8'∀
$8)∀)∧H%SiTp%SIe_&∪I$H%Sj¬8&∩I∀P%∩Itp'∀)dx&TIdh(∪J$h'U*DH(SiTH&∪j∧P&∩*E⊂+∀)E0%∀*∀p%TId`'TJu@*UJ50(∀jDx&∪	Dp'∪idh)∩J∧`%∩i4h)U)E⊂'SJ∃λ&Ri4X#Q)$@'R)∧_&T)Dh&∩	∧_%∪It8%Ri% (∩I$x%⊃IT@#⊃)∀H%∪)Tx'∀)∀H$S	4p$R)D@!R	T0%SiTh&⊃)4`'∪J∧X%∩λT`$T)U_*∃*e(%TIDp*∀(Eλ*∃
u(∃+%_'∀JU &SIdp'Uj∀x'S
e(+V*e ,⊗*5λ*∪iu(UjU_)U)th'SJE⊂-Uk5((UJe⊂(U
Eλ)∪
E )∀+¬_&T*∧h*T	u_)∀JE⊂*TJ¬λ)∀)u&S
¬λ'∪J$h%Tj∀x&T)U0*Si%λ)T)∀@)∀	dp'∩	∀p)∀	d`*Rj%λ+∀)%⊂+∀je_%∪	tX'∪
D`$⊗*∀p&Rj∧x*T)u⊂)∪)tx'Tj∧p*∪*50*∃
tX(∪j∧x'TJ5λ*∪J∧@)∃*U(*∪*∃⊂-T)DP(∃j%⊂'S	U@'RjU()U	U -∃+%h)∀ju(,V
e0-∃K∃ ,⊗K¬ ,⊗
Eλ*∃*E )∩j∀p(TJ∃λ)Uj$p(∀
E⊂&∃
∃_'⊃I$P#∩	∧`%RiTP%Rieλ*∪j∧X%Q)DP&Tj¬()R)∀P%S*∀X#Qh3p QλTP&SI4p&R)D`%∪
∧x(∪*∧`&S)∧X%∩Id`$∩*$x&∪)D`'∩λT@&U*∀X&R)∧@(T	$`'Rj∀p&∪λt $∩huλ$∩(u&∪)∀X(Sith,UitX)T)∀h'∩J∀P(∀
e⊂(TJ4x*T	tp(∩I∀h)S)4P'∃jUλ&U	t8%∩idH"S)dP&∩i$P#SiDX#⊂($8'∩I$P&∩)∧X$∪)TP%∩iDx$⊂H48"Q)d⊂!P)4P#Si$P(∪)∧P$Rhd⊂%RHtH"∪	4X%∪Id8&∪	∧P$Ri$x(∪J%λ+U
Uλ&∪
U()∃JU *⊗% &SJU8*U
¬@+∀	u*SJDx(∪JE0&SJ5(+∃J%λ(∀jU8)∃k$x*∃*$p*∃
Ux+∀Je`*Tj% &U*%_+∀jE0'∀ju@*U
Eλ)T
Dp(T)∃⊂)∪(dH&S)Uλ,∃	∀p&∪I4p*∩j$X'SJ∧x)∀ie⊂(∪Idh'SJ%⊂&S)4x&T*Dx)∪	Th&SIu⊂,U(d`*∪*%(,∀	4`$SIDH&T)Th(∃)4H%∩J¬(+∀*5λ(∩j¬'T
5 )∀ju )∩j%⊂(U	%((T	th)⊗Dp)V
Dh'S*E(∀*∃⊂(T¬('U
u_)Vje0(U
¬,∃*u0/∃k¬8*∀Je`+∃
e_-U*E .∃
e )∀I5λ)∀
∀x*∃l∃ )∀*¬0'⊃I∧8%∩IDX#⊃(4λ%T)D`'Rj∃ 'Ridh(∀	U %RidP'T
¬λ'⊃(C8≤P)4h*Qi5'∩i%&∀*¬_&T*5&Si∀h(Qj∀p%∪I4H&S*∀p(⊂λE)T	$@%∀
∃*S*$X%∩J∃λ'Sλt8&SiU&R)Th(ShUλ(S
$x'T
¬()∪	∀P(S
∀p&SJ5 )∩i5λ*T*5_*Si∧0&S	T8%Sj∧8(T*4`&⊃HTH$S)tx&∩)th$∪)$@$⊃i$`$PITx$S)$H$∪λd@&∪(tX&⊃Id@#Qi∀8#R)∧H&∪
∀H%∩i∧P#∪	$H&⊃Hd@#PhtX%∩J$H'∩h4H$Ri4h(S)4h*∃J%⊂*∪¬8(↔Ie@,∃	u⊂*Sj%λ,WK%P*∃J5()∀*∃0+∃
e(*∀j%_+Vjdx+∀jE(&VK¬@,U
5λ*U*U (UJU_+UK5(&∀JE⊂+S*eH*VjU8+∃j%0+∀
$`+Uie_&∪J∃λ%R	dp(V¬ &S)TX(∪J$h(∪Ie((∃)e 'QIE(TK%⊂*∀j∃*∃	dP&∪idx&∀
%⊂/TλdH)∪	e0+∃*∃(+∀	dX'∪IDp&∪I4H"SjDx)TIth'SiE )∀J∃⊂"Rj%⊂%∀
¬@)∀iu0'∃J∃⊂*T
%&SJ∃⊂'∪je*TJ%λ(∀K%8+∪
E⊂(⊗*UP(∃K¬⊂)∀i%_+∀Itx'SJ5⊂'∃
Eλ)⊗
u_-∃*E_+∃J∃'∪ie,⊗*e +S*%⊂#S(Tλ#∪)D`%R(tX%R	∧p)∩j∃⊂)TI∃λ*UJ∃ (T	u%SiTp(∩λ4_≡O(dH&Q)4h%∀iU⊂)∪J∀p&S)4P&∩iDh(T
∃λ&QI4p'Rj∃%R)5()∀j∃&∩)T0%∃¬ %T)uλ'RiD`#∪	uλ(RjDh$∩i$p*U
58*∪jdp(R	dh(∪Idx'∀*%_'TIu_%RiU_&∀)E⊂&S	tP&S)th(SId`$∪	Th(Tλtx&∩ith$⊃j¬ '∪J∧h#∪I∧P"R(T(#∩λDP'∩)∀X%∩)DP#RHt($∩(dλ QIT8#∩λt $∩I$ !⊂h$`$∪	∀X$S)d8#∩i$p$R	∧H(TJ%(∪)D_'∀iDX*UJUλ-UJe0+∀+¬P+U
dX'T)Eλ)⊗
∃⊂*U*u_,V*5 -∀J∀p(U
U@,⊗
E *T*5(*⊗Ju +∪iU,↔∃λ&Tjdx'U	5 +VJu8/U	5_(⊂Ieλ)∩iTH&S*∧h)∃JDx*Tju0*Sj∀h)∀)tp(∃
¬ '∀
∀h)∃J5 '∀j∀x*∪J∃H(∃Iu_+∃*4x)TitX(Sj∀p'SJ∧x'Ti40(∪J$H'Ti$h&Rieλ%T*$@'∃	U_*∃I∀h&∪i4X%∪*¬⊂'UIe*∀*∃H)SJ∃λ(Sidx%Sj¬_*∃jTx(S*5⊂,∀je_)∪IE(∀+∃(+U
%@,Uj50/∃k∃X,∃Je8,UK∃⊂*⊗
5(+U
eP*UIu8&∀	dx'∀iE⊂(∪
∃$∩Gs`!QhT0#∪i%'∪*U0)TJ¬⊂(Sj∃ +∃	uλ*∃)u_(RJ%_'RI$P&⊃)¬ %R)∧@(S*U0'∀)Dh'SI$P+∀*E0'Tj¬ $∪)∀p&∩λdp(SiU &SITp)∃*∧P)Sjeλ&∪)∃⊂(TI$8$QiTx$∪
U0)∃*4x'T)U 'U
u_&T
5)∀Idp'T*¬(∀J∀H'∀J4x%T)u(Sj∀X%∩iTx(SITx'SIT0%RI∧h)⊃i∧x#⊃)¬λ&⊃I$@∨Pht_%S	$P#R)%'∪	D(#∪)∀X'QiEλ'Rid8#Qi∀@$RI∧H$⊃HD8'Q(T0&∩i$λ%Rht`#Ri$`#S)$P'∪Ie⊂'R)tP$Uj∃0'Sj5(*∃+∃(*∀K¬p,↔,∃8+∃
E@,Tj∧p)∃
%λ+∀j%8'∀
∃@'T*∀p)U*E(+TJu8+V*E '∃uX(∀JE_(Sj∧`*∃j¬H-V*5P-Uj%⊂'R
%&∩)uλ(∃
uP*∪J¬λ+∀
%λ#∪*∃_%∀jt`(∀	uλ)UJU_*∃j%λ*TIdp(∀IT`*TIdh*S)$x&SJ%λ)∪iDp&∃j5(TI$p#T
∧@≡Pi∧h(∀)DX(∪i4P&∀Itp'T*E_'Tid`)SJE'∩*∃8'S
5⊂(T)tP'∀
5λ&T*D`(T
5_*V*∀h'∃	∀h*UiD`)TK¬@+⊗jE)SJ%@1⊗j%λ+∃+∃_-VKU@+UK∃H,Uk50+T
∃ )UJ∃⊂+V*E )∀je@'Pπ3X!∂IDh'∩i∀H&∪	e)∀	eλ,T)tx(V
%`+∀
%()∀*Dp*∩J∃(&SI$x)∩)t`#∪iDx&RI4X&TJ∧x)Sj%⊂*V*eλ&∃	dh'∩ieλ+∃
∃_)UIu((SiTP(∀*5 )T)uP)∀	dP%TI%$S*UH)∀JuH)T	Dp'T)u⊂'Tj¬'T	Uλ&∪J∃)TiTP(∪HD8'Rie'Ridh&∪)dP'∀*¬_&R)4p)∩i$P'Pi∀x"⊃i∧p$SIT`%RITP$⊃(d0!S	∧H#R(t`&∩λTX%∪j4X%P)dP%Qi$P#R)40$∩I∀8#⊃)4p&S	D0&R	$h'∩I40'∪ieλ&∪j%⊂,∩iDP)∩*%λ+U
¬ ,⊗J∃⊂)∀*∀p*VJU8(UJe0)∃	U⊂*∃*$x+∀iTH'SJU(⊗*U@*WKeX*T	e⊂*V*U*∀*U_)U
dp'∀K∀`)T
%)∀j∃ 0∀(4λ(S)4h&T)%λ)U*5⊂'T
5⊂(∀+%⊂,⊗
∃⊂.∀*5@.⊗	u*∪iU⊂+∃j¬P+∃J∧p(Vj¬@)∀*U_*∃*%_)∃IEλ(SIu(,T*$x+Vj∃λ%S	T`≤λE⊂'∪
¬&S
%λ(TI4@'RI∧x&Sidh(∀JUH(∪
E_)∃
u@+∃E0(TItx'∪J∧x)∀*eλ&T)Tx&∪Itx'∀j5 (VK%8*U*∃ '∀*uP*V*E *∃JUP,∀*U (∀*%_*U
¬8+∀JE8,∀j∀p*Tj%()SIdx$NGsh≤⊂ie0'∪	∧8$∀)Th'SJ¬('∀)e()UJu@+U*u0/⊗5 *TjU )QJ¬_(T*dp'Rj¬_)∩	DP&Sie(T
∃λ*∀jE()↔
Dh*∀	tx)Uiu⊂'UI4p(V*E_)∀IEP(∃*$h%∪)d`)∪iT`%∪j4x)Uj4p$U)dP)∃j∀`&∩I∃H*S)u⊂)∪*Dx)∃)u '∪i$X&RiT@'∩)D@$∪	D`#Qi4h!∩ItX&S)$P#QI∧@$RiTP%∩I4X$QHtP$∩i∧0"R)d`'R	∀@#∩	∀@'∪)∧x&∩i∧@$∪	T`%Q)∧P$∩	∀h"Qh4h'RI4h$TI48%∪	TP#Ri$`&SI∧H"QiTh&∪
$`&SIt`(∪J%`(∃j∃0+VkUλ*TJU0)∃K∃⊂.∃
e8)∩)E(∀
¬0+V*e⊂-⊗Jep*∀
u0)∃
e '∪*$p'∩iE)V*E*U
%'∀J4X+VJtH&T	u'∪J∀X'∀*∀`&U
E⊂&SiU_*∀	DX(∪j¬%∀i%λ&U*Dp(∪J¬(*∀*5&SIEλ'Q	4H$∀j¬0(∪I$`(∪*%0+UK∃8'T	4p&∩iDP≠
λdx&T	tp&TIDX*Tjuλ)∀jU_'TjU⊂%∩i$p(∀	D`#T*Eλ(∃
¬ )Sj$x'T*e )∃
tx)∃
e⊂&R)tX)T)4x(⊃iU(TIeλ(T*∃((∪Ju⊂'∀J∃⊂(TJEX/∃J∃ 'TJE⊂(∀IU_*TJD`&T
$x(∃+∃∨M(βp≠∞GT8$R	4h&Rλt0&∪	Tp%RI∀P(TITh'∀iuλ*∀k%8+T
e(RH4p&TJDh&T*Tx'∀*∧h%S)Eλ(∪
∧8(UJu8&Uieλ,V*∃ &S*58'T
¬)∀)E⊂)V∃0&U	dp&∪Ith+Siuλ)∪ItP&∀	dh"∩HtH%T	Uλ(T	% %∩	∀@(∩	4h%Rλ4X%TI∧0 Oh$0"S	DH$R(4H$∀
T`#Ri4h$S)dx"SJ∀p)T)e)∩h∀8#⊃Hd0"R)∧_!PI∧H%RIth'Q)D8%⊃λT_$∪I∧H#Sλt #⊂'tP%∀λtP$⊃i¬&RiE⊂'SIu⊂%∀i$P(∪	DH%R(dX#Si∀X(∩)$H&∪	$X+∪j∧P'TIu +∃)TP'T*5 -U)tx*Uj5_)SjE)S	$H'∀J¬_(∀Iu *U)u⊂)∀jeλ'S)u_)∀)Uλ-V)U*U
¬_(∃
u⊂*V*5⊂(SK¬⊂*V+∧x*∃k$x.UJU((T	U((SJ5_(∀
¬(∃
¬λ&RITp)∀
4x)UJeλ'∀IE⊂(∀*∃)TIe)∀*Uλ+∃ie⊂(T)U0$∪*5λ$∪*t`&SiTx&S)$@'∀
∧x(T*4p+RJe⊂'SjTp(∀I5'UJ% %∩Ith*∀
%()∀*∧p)T)dx*VK5⊂(Sidx&∀*u'Ti5λ(T)Uh-Rie)SiuX-∃ju⊂*UJTp-U*5H-⊗+U⊂)∀*∧x*SJ5H(∃
5_(∃j∃_(∀J4P≡∞πs@!⊃'4λ#⊃H4@#Rλ4H$R)∧@#RI∀X#QhT`'RI4P$Sj5λ)V
Tx&∪i∃(∀J∧p)TJ4x*Tj5 (Siu_+SJ∃⊂(∪j5 *∀*4h&∀iuλ(∀	U0*UjDh)∀j4x(∩(tP'∀	dh$∀
¬⊂(∪)Tp%R(TX&S)T8#RiU&∩ID`&RHd8%RI∀⊂"RiD@$∪λTP(S	tP"QH$_$Pht@$Q(TP%R(d0'∪I4P%QIU_)∪*U'∪j∀h(R	∀8#S)∧P$∩I∀P%Qi4X&QIT`#Q)$`%RjTh#⊃j∀x%R(d "∩HD@"RhT8'∪I$X(S	4P&∩idP(S	t( R	$h&∪	4H%RI∀`&S)T8#∩λDP'R)DH&∀	EH*∀*U 'Q(Uλ%∀Iuλ)∃K%_(T*%_-T
dX&∪
dx)∃)e(T)eλ'⊗*∃(+SiE0+∀	dh)U)4h(S	∀X'Rj∀p'T
E(&SjDH&∀)TX%S	U$T*∃_)Sie(Sidh%U
∃ +VjU⊂'∀)dp)R
%⊂)∃
%λ(∪Ie )∀)dp*∃j∀X'T)dX%T*∧X(∪I$h+∀J¬$∩idX&RI∧@%SI4H%∪J¬%S)∀p'Sj∃_(∃IU *∩)∃8+∀jEλ&T*u0+SJ∀x'T*E_)S)4X'T	th(∪i$x&∪*∧`%∪λU_*∪
5⊂%RHu*∀)Tx+T*∃8(∃Ju ,Tiu(,∃
%*T	∀P$∪λe(Ri4X,∪*∧p%∪IdX≠LεD⊂#∩λTH$⊃hD $⊂hD@#∪	4P&∩Ht8&SI∀_#R(dX'∩i$P&∀	DP'∪	d`*THtH"Qie('∃K¬@*∀	∀h-∀+∃80TJ5 )S
$x'S)dH#S)tp&⊃I∀`'S*5λ(SJ∧`)∃	T`%∪	$8&∪
T`#Ri$X&Tλt #Rλd`)R)dX&⊃λDP#Ph∧ $PHDλ#⊃(Dλ&V
d@!QH$⊂$∩)$H"RλT!R(tH$∩)tX!RλdX"R	U_)∪*¬'⊃i4h#PGd_%R)∀_%∪	4@'QITP!RhtX$⊃I4P%UλT0#QID #S)T@"R)th'∀)∀x(S	E %R
∧P$∩)tP#⊂i4H"QhT0"∩)D`"S	D@#Qi∧`"R	$P'∩i$h)∀j¬λ(Sie_*∪)4($PHU⊂)∩I%(∀*e⊂*∪iEλ'S*¬(,Uj5λ%TJ¬%U)th(∀)TX&Sj5λ+∀)4h'∪*5λ'∀	4`'∀)$x'∩i¬_&QJ$h%SIT`'∃J∀@&R)48%∪)$h+S)Dh&∪	e('∪λtp(∀J4h$Qhu)∀j∧p&R*$p'∩iE⊂'∪*∧`&Rh4H'∩)4('RHdP*∀ITP%S*%(*∀	tp&∩(TX)S)$`$S(tx'T	E (S*Dp(∪	E&∪*∀`)∀	$H#R)TH%∩JD@%Sid8%∀
dp%R)DH%R	d`'∩	%#R	U'S	%λ)∀ith*∀	dp(∀
∀h)∩Ie&SiD_&∩IT0$Pidp'∃	TX~Mπ3x#∩i∧h$RJ∀0%Qi∧p#QH48%Qi∧8"Ri4@#RITX$∩iDH#∩)∀@$Q)∀8&∪)$(!PIEλ'∀*5+Tj∧X)∃*Dh(∃*∃@(Rj∀p(T
% )SI4x(∩i∀x(∪
∃(&S	∧X(⊗	4@$SiT`(∀	∧X%Ri4p#Sj∃λ(S	tx(∃	dP(Rh∧_"Rλβx"QHd8%⊃(DH"R+$` ⊂H$ $⊃i∧('∀*∀H%⊂h4P!PHth%∩i$X"∩I$H'∪)d8#∩)$8%∪j$0'⊃hd0$QiD8$⊃i48"⊃Idp(SI∀x)Uj4@"QHTX#∩(40%QiUλ+R)u((∪)d`'S
$P'∩)$P#∩λt0$⊂hTX#P)4x#Pi∀`#RλD0"⊃i%λ$S*∧X&∪)4H#∩
∀0%TiT8"Qλ4@(⊃i∧h$S	4H%RI%⊂(∪J∧`&SitX(∩)e_*TJ∧x$S	th'∪)Dx&S)dp%∩*∧@'RλD@%S)Eλ(Sλdp'∀JU 'Ri∀h&S*∀`&∀
∃_*∪iDH%Q)∧h&S)4x&∩)Th&∩i$p'∩)%'∀	4H%Ri4h%Si$H&∪Hd0%⊃I48$∩iTP%SJ$p$∩)∧ "∩j∀X&Si∧`&T)Tx&∀	∧`$∪(4H&SITX"⊃hu)∪IE&∪	$H$Rht@%Si4H%S*¬λ&RI$p)∀J%λ(∩hT %∩hd $⊃Hd8&Pgd0#RIuλ'Sjtp'∩)4@$∪Ie 'Sht0$⊃	48#Qλ∀0%⊃H∀8&T	D@⊗Mπ∧#∩Hd_"⊂gt(#∩λt($⊂hd@!PH∀⊂ ∩	48$∩λ4h"∪ID8"Qi4`$R(T⊂!Qλ48$O(∀@(∪J4x)∃j5⊂(∀	Dp%R	Th$∪λdP$Q)∧P&∪*5%∀j%(SiTh(S)Dx#SiU⊂&SIt@%∩)5&Siu⊂'∀IU⊂(∩iU$Ri∀P"R	∀λ"∩i∧H$⊃hDP!Sλ3x∨PI% #QHD8#⊃hTP)↔)t_#⊃HT #QHD@&∪)T@&RID8'S	dp'∪Iu⊂$Ti$P$Sj∀8&∩iU&∪	∧8&S	dx&∩iU%S)dx&∩	$P%⊃Ht@$R)∀h)∀It8(S*Dh&∩j∧`'∪I$h*∪iD@%QID`'⊃i$X$RhtH$QiDX'∀iuλ%Qi4H"RIu #∩	Tp&∀*∀8$Ph∧h"Rht`'S)$`#Qj$X#∩)t@(UHt`&Rλtp(S)∧h%RI∧p&∩)∧H#∩)$@#∩*¬$⊃	$H&∩	¬⊂'∪ht8&T	th$∩	4h'∩j∧p%Si$0%∩	DP(R)∀P$R)$0$∩)∧λ$Rh$`$S(T %⊃I∀`"⊃	∧`'⊃H4`'∪	$("∩)u&Ri4@(∪	T`&∩)$`&⊃)∃'∪	d8'Rλt_"∩)DH%∩i∀P$∪J∃%QhT@(⊃hT &Ri∧@"RI∀h%∩I4(%R
∀`$Qi48%∃	dP#∩iEλ$R	$≥Q'dλ∨⊂λ4($QiDx&S*∃_'∩htH&∀
∃ $∪i∀P&⊂(4 $Q(∧@#S	$`%∩	$p~P)$@$PI$H$∩	∀P$∪λS`%∪H4 $∩(4"∩HT⊂"⊂I4P%Qhtp#∩λD0#S)$($∩	∧0"⊃	4h&∪
¬_+∪)d($R)∀h$PλT_ R(∪x%⊂i∧P&R)∧x%ShdH&R	DH'∀iT8%∪*∧h%⊃IEλ&Qht`(∀*∃'S	u⊂+∀jdX%∩ItX$⊃(48$Q*∀_#⊃h∀(%QHT@$Qλ48"S	$H$∩λD &UIdh'QI$`$Q)$P$S)dp&∪*∧`$∪	Dp%⊃iTh%∩i∧ %Sλt8(∪*∃⊂(Qht(%RIeλ#QHd %RI∧(&RID8$QHt@'∪)th'S
∃*∪J5_)∪	D`'SIU⊂+∪Idx&∩(tp(U*¬_'∀	tX&RJ∃'SId`$RItX&∪j$h#∩)D0(∪	t@#⊃hu_)∩I∧`'Sj$X$S	TH#S
$@%Rie'R*∀p)∩i¬&S)∀X$S)4p'∩I$H#∩ht0$⊂)4P$∩I∀P$RI∀h$∩HT8$∩)$P$∩iTh#Qi4`"⊃	∀0%S)Tλ&∩λdX(T	4H$∩I4x'∪I∀H%QHT8$⊃ht8%T)∧`%∪IDx$R	∧8&∪)4h#∪	dP$⊃ID@$∪	t($QITh#∩)∀ #RiD`$∪)∀p"PiD⊂%∩I4P"QiD8(∩(d8$∪λdp&∩i∧X$S)dp(∪It8#⊃)4H#QλTP&∩IT0#⊃Hd("QITX&∪	Dp'U
$x&S	DX)RiDX%T	$`!Qλsp"⊂hT⊂#QH$ (RhD0≥Qλ$p$R)dx&S(tH&∪)$0%R)∧8(⊃hd@$⊃($⊂!Q(dX$S)$P%∩(DP$Ri∀H#RH4 "PHDP&∩I∀p%∩	4p$Q)∀ #⊃(d_ ⊂hD⊂ Phd($RλtH&∪)$8%∂htx%∩	4`#S)DX$∃)∀8&∪)TH%∩Idh&RIUλ'Rj∀h&∪(d8$⊃ht0%R	D0#∩*$@"⊃hTH"Q(T@#Qi∧("PI4@"Qi∧@(∩	∃⊂%QIu⊂#SIDp%R)∀p&RIU⊂&R*$h%Q)TH&∪	D8)T	t8'∪Jt8%S)Eλ&⊃i%λ(∪)dH%∩ie#QHdH'∩i∧h&UJ$P%∀
¬&SI$`(RGTλ+∀*e_)∀j¬⊂)∀	tx&∪	dp$∩	u&T*∧X%R	4p%Rhth'S)D`%∪I∧h%⊃hD0%⊃I∧8#∪IU('∩hdx&∩*∀h'∪	$h%∩itp&∩IDx$SI∧h%∩I#x"Ri4h&∩I$X$∩I$(≥PHt@$∪λTH%S	E"Q)4x#S	∀P'S)Dx&∀*$x(TITP"S)∧`#RIE_(∪i5)∪iTH%RH∀H!Pi∀p&S	∀(!Qi∀X#⊃(TP$R)∃&∪	∃_)⊃i48&∪I$p$T	T`'∪h∀H$RIdh!Qλdh%S)∧P%Qi¬⊂"Qht`$Si4@#∪(d 'RHDx$S	$`$PI∀X&∪)dx%⊃Hdh$QiDH$∪λDP$⊂hdP&S	$h$R)4p%Ri∀0$∩*∀h$T	t`"QHtH$∂iD@#∩i4X(∩H$(!⊃gt(%S)dH%∪)T`!Qλtp(SIT8&RλDH#SHT "∩	4`%S)dx$Rλd@(∪	∀!R	∧8&R	∀_ ⊃h$(%⊃H∧(%R)$8#⊃H∀λ PHtλ#O'tλ#QHD8#⊂(4H"⊂H$P"R)∀@$⊂J$x&RI∧P%∩I∧p(SI∀P#∩Ie'R)$((∩λt0$S	48"R)d8"QHSx∨QHdP#⊂H∀0!∩λ$_!P(∧x&⊃λd%R(T@%⊃I4`(RI∀X%RIdp&T)$p$∩IT@%∪*$h%SIDP$SI∀x'Q)∀0&⊃idX%S)4p&S)dX#∩*∀0"PHt_"QHtX(T
¬λ(T	T0%∩)4X#R	$h)∀
∧x*∪Ie(*∪Ieλ(T	5'∩IT@%R	∀X&∪idP&SItX'SIdH#⊂hT $S	dx&∪)$X#Ri$ &∩I∀(#∩i4X%∩iEλ&∪λdH%R	$h(S	T0#∀	∧8$QλD0!RI∧`&∩)∀P!RI4X$Q)DH)∪iDP#R)e&S)Th$∀(tH'TiTx'S*U'T	tH#SI%'∩(E_(QhdH%SiUλ&RiEλ%S)Th%∩i4P&∪	∧x(∩i$X&R)$P&⊃j%λ&∪Id@)∀)Tx'∪j∃ &QJ$h%∩iTx'∀*∧x)RIe &T	tp'∪)uλ%R)Dh%RλTH$∪
4p%RiD`%∪i4P"Rλd(%∩(t0%Qhd0$∪)d`(T	e&∩)TH#Si4 $Q)DP(∪IdP!Qh∀P$⊃)5λ%R	DX#QH40$PH∧_"S)D`$S	∀H$S)dh%S
∀p(TIth%∪J∀`'∩)4X&Sj∃⊂&∩HdH&∀)40#RiUλ&Rλd !∂(Dλ"Rλ4(!Q	$@"Qh$_ PGT8∨OH$_!⊃πtλ$Q(T8#∪	∀  Q)∀H"⊂Gd($∩λt@$⊃H4(#⊃(d0#Q	$0#Q)T "QI∧_#Q)$P!QIT⊂"∩HT_%R(tλ ⊂HD0!RλD0!Q(∀8%⊂λTH(R)$X!P(dH"R)dh&∃
$p$RI∧0&∀	4h%SI4h(∪I4P'Si$@&⊃I∧`%RJ∀P&∩J∧@'∪	∧0"⊃λT0!⊂HD0$T)∀H&∃It`%S	uλ&T)$X$⊃i∧H'⊃j%⊂(⊃iE($∪
∧p&Sieλ$Sj$P'∀idh&R	∧(%RI$p(RITh$QhTP"R)dX$SJ4P&∪	4`&⊃hTH#S)∧P$∪)D #Ri5%R	Tp&∪I$8&S)D8(∪I$h&RhDh"Q(tP'QiD@(∃	T8%∪
4h#∪)D_"Q)$p!R	TP&QI∧@&∩)4h$S)∧@'∩λtp&QHdH$Pi∀`&∩i$P&∪Ht`#RJ¬%RitP(S)tX'U	D`(U	Th%∩)$`*∩(tP&S	U⊂*∃	TP&Rieλ%∩iTx'∃
∀`*⊃IU_'∩)$x'∪Ie_)∪	TX$RiTh$Ri∀`'∪J%⊂&∪IDp%∩)D`$RHD⊂$QλTp%Sidp(∪I∀0%⊃hD8'R(dX$∪I4P'∩)∧X%∩)D0#∩Ht`&Si∀0"∩	∧h&RλT "∪	∀0∨⊃	E('T	∀ %⊃I4H#∩)∧P$∩)tH#∪)d@'∀I4X%Ri$h#∪ItP)T	TH$∩)∀H!Oh$  Q(Ch≡⊃λT`$⊃(th$⊃HT⊂"∩I40#⊃)∀ ∨⊃λt@$∪)TX$R	4($∪h40&∩	∀h$S(t8#Qh4⊂&⊃h$ %⊂i∧H!Q(40!QHD⊂$⊂I∀(#Qλ∧8"Qλ∀(%QH40#QλD  P	∧@#QHt8#QH$_!PπtP$⊃λD_!⊃(TH%RλDH#RI∧P&∪j$h#SI$@$⊃h4P#PhTP&∩I4P%∪)4p'RHdX'S	T8#∩ht0$∪id8$Si5⊂$Sλ4H(∀	E('TIt`&∃J∧`)RJ∧x'∃)d`(S*Tx&QiT`)Ui∀h&ShT@$∩I4x(∪i∀(%Qhdx&S)dH#PhT⊂"SjT`%⊃(4∨⊂(4@$SJ∀h&T	tX#⊃i$h(∪
∧8"Ri$`$Qi4H%R	DP%⊃ItX)RHt #⊃I∀(&Qi$0"RiDP'∩)4`%S*U$PITx%∪	$x'∪J∧h&R)4H&S)$@&Ri$X)∀*∀h&RiTP&SI4P$⊃I∧H$⊃hT $∩Hd0&U
U('∪)∀`&∩I∃&∀idP#∪J∀`$∩)E('∪)u&∪J∀p)RJ∃λ*Tk¬()Tj∃λ*∀J% 'R	T`)R(Dh)∪idP%Ri∀`$RI$P%⊂)∧(%⊃HDH#∩'s`!Rλd $RI∃λ&∪	4x&∩iD0#∩)D`%∩HtH#SJ∀x&∪I$x'∩)4`$Qiu((∪hsx!R	4h'∩)T &R)T8&∩Idh'SI∀ "S*∀p%TIe⊂&∩)4p%S	dp&SIU&S	$`(⊃H∧ #QI$⊂"R)4`'Rj∀x'∪)$_%∪I4h#Sλc`!Ri∧@$∪
$h(∪I$H$S)u⊂&RλtX&∪I4X#RhT@$∪i∧@$⊂i∀h$T)∀@$∩λd("QHT0"⊃	D@%∩λdλ!⊃($@"⊃'t_!⊃λT_!∂h∀_!⊃(d@∨∂Gdλ!⊃h$0"Qhd⊂∨QH∧8!Q	$`"⊃(T0!QI∀@$QhT8$∩	4P&Ri∀8%∩JDp'Q	∀0%S	∧x%QHD(%∩I∀h&∩ID@$RID`%Ri∧p&Ri¬λ'⊃	∀p'SIe('TJ¬_&SIe_'⊃)4p$S	D`(∃J$p(∪)d`'T	∧P'⊃htH≥QId`(∩ht⊂!⊃(T_#⊃I∧8"⊃HtP)S)tX&∪iTH#∪)D %T	4 %Qi∧h'SHtX%R	∀(#Ph$ $S)∃$Pλ∧P(∪	TP&∪id@%S	∀X)U
$x'⊃i∃⊂'S)T8$Qi∧H"∩I$8"∪)dH&⊃i∧x'R	∀X&∪JE(∀
¬⊂%∀Hth(∩i4`(Ri∧X'∩i5⊂$S	∀h"QiD`&∩i∀8(∪)4p'∪	UH(Riu&∩Ie&TjE_%∃	d@%∪ieλ*⊗J¬(+∪ITX(SI∀ "∪	TH&R	Eλ%RID(&Rhd8$⊃i∀0"∂hβp#⊃I∧('∀iDX%SITx(∪
∃()TJ∃λ'T
%8(T)4x%⊃	5(&T)e'∪idX(RI∧@$∪iT`$∩(t`'U	$`%∩)∀x'∪*Dp'∀+¬8*∀ItX$∪ieλ&∀	Th$RhDP%∩)5'T)$`$QI∀H"∩	Dh'∀K∀p%∀	∧"R	4p$∪)TH%∪)uλ#R)∧X&∩ID@&TJ¬$∩ID8'Tj∧P$S
¬&Rht8%∪)4`"RiT`#SIT@'∩hd`$RI$("Sλd_"⊃λD !⊃(D!Qgd(#QH∧0!Qλd⊂!⊃λ4 !∂h$ PH$_ ⊃I∧ !QhD"⊂H∧0"QH∪p!∂H∧0#⊃λ$0"⊃I$P$∩	$(!⊃i4@%∪i$0"∩i40%∪I∀x$⊃
∧h&⊃i∧H%Q	$p&∩	∧8&⊂'$ '∩i%_'RiDX$∪J$h%TIT0$∪)DH&∩)∧_$∩)$`%∪)E)∪hdH Qλ4H%∪(T("Q($λ"⊂λD0&⊃HtH'Ri4P"⊃ht((∀ITh%T	4P&∩(t %∩	$0"∩)dX"PH$(!Qλ∀8%QI∀ $R	4@(⊃(dP'Ri∀@(∀J∧X%∪)dX$∩	∀h%Q	∀8"∩
¬($RI4p$∩	∧`$S)∧ $TI$H#Rλth$QI∀H&Ri∀h#∪IT`#PhD8"S	D8&∪	T0$T
%%∩I∀P&∪)∀X'TIt@$RIt@)S)¬λ%S*Dx)∃	U$Rj¬8(T	u&SI4h#∩IUλ'∩I5λ(U	Dp'∪j¬$R)$H"QhdX&⊃*¬(∀I4x(∪)u_)∀
∃+∀je '⊗*V⊂,T
∧X#R)th%U)uλ+Sj$8∨P't_"∪ID $∩	4x$S	d8%Rj∧X(RHd(%RH4X(∩I$X#⊂i∧($⊃I∧H$Q	d@ ⊃)dP&∀	T8!Pi∀0"RI$X$Ri∧H$SJ∧( P	4h&∩	e&R)Eλ'∩I∀H$∩)%'⊃I%&⊃(d⊂#⊃iTX'∪J¬_*SλdP#∩i4h)S*¬('∪	E_$∩
∧0'T)tP%∪IDX$R)$@$∩i∧8)⊃Ht@&⊃(∀λ"Qλ$8"OH∧(#Pλ#x∨OH4@$Rλd8 ⊃h$ !QπSx∨⊂($λ Rλ∧ %OGcp!∂hD_ Rλ∧(!Q(dλ"∩(t0$T
∧8#∩	∀H"QI∧@!⊃(T(#⊃hdP&S)∧8'SI4H'RJ5_"∩λd8"⊃I∀@#SHt #R)4p)∩Idp$S*T@#RI∀@&∀	dP&⊃i4p$⊂i$("⊃(d(%Q)∧8$∩(T0%⊃hT@"R)40%RIDP%R
E_&∪λT@#Q	∧@#∩	$x(RHTλ"QI∀8%R)∧P*∪λt8'RIDP$RItx$∪)D`%S	∧8!∪)∀X(U	$0'∪	T@#RhtX'Ri$_$SλDH$Ri$@$∪)4`%R	∀P&∩)4H'Tj∧h#QhTH&TJ∧P%R	∧X'S)4`%RHth%Rid8$SID`&R)∀p&Qhd8"∩)4p'U
∃λ'∪
T@'∀It`'Q)$p%Q)∧`'∪	∀h%∩IDh&∀(dx%RhtX"R	U⊂$∩IU%RI∀H&∪
Ex*∪)u⊂'V50,∀*E0(UIDP%SJE(+∀ju &Sidh$⊂h4 "∩	4h%R(t`&S)4h(∪	4X%S)4`%S(u0'Ri$⊂"∩HT %⊃i$p&⊃i∀8%∪*∧P$⊃hd`≥∞hDP$QI∀H$∩i$8'∪I4H&∪j$@$RIdp(T(t0&∀I4X&Ri$8$R)U&∪	$(%S	Dp(R(d@&∪(dp&∩iDh(UITH%Tλt`)T	4X(∪IEλ&SI4X&∩*E%U
t`$Rie⊂&S(TX%Si4P$⊃	D@$R(d(!∂hCp∨QHT@$⊃i$_∨Oh∧ !⊂(sh≡QhtP%∩I∧`"⊃λ$h%⊂hD0"QHDH#P	∀p#∩)4⊂"S	∧h&∩)∧P$⊂ht8#Si48%Ri∀8#RI48$TIeλ%∪i$ &∩HT($⊃I∀p#R	4@#SI∧H#∩)∧ #QhDX#∩λt %RIT0#⊂HT$⊂λd0!∩λt_"Pλd("⊃λt0%S(t`$⊃(tX%T)tH"SI∀X"QλdH%∪)$(#R(tH"Q)¬λ'R
∀h'Si4H"Q	∀p&Q	∧@#⊃)t`#Ri4X'∪)$h%S	t`&∩HTX&S
∃8+T)U(T
¬λ$∀ITP!⊃i$@)⊃i$p)T)dx$SIU&∀jTh%SIE_&S)t`(S)Dx(T*∧h%S)Dh&S	t`#∩idp%Ri5⊂'∩i∧`(T	$("S	dh(∪*∃'S	tp%Ri$(&Qi4H&⊃(t0"Q(4X$R(D #⊂Hth$RI$`%∩i∀p(∪	D`'SIdx$RiD0!S
5⊂'S)dp)U	d`$T
4x%S	TP#Pπd#∪*∀x'∪J4p&RIe'∩	Eλ&S	5&Sλt`&S	dX%∩&3 Qi$0%S	Dp%QHdh(∩)dP$∂H4λ"QI48$Rht8#∩i¬⊂*TJ∧8#S	D )∪i4λ$∩Hd Ri$ "∩i∀X#⊃iTH$∪	DH$⊃I∧h'∃)4 #R	T8&R)$8≡⊃I$x'∩)∧X&∀(d`'∩(T`&Siu(∩)$h&Q)∀0$S)DH%R(4@$S)∧P'∀IT`&∩iD`$Qi∀8%SλT`#Qi∀h'⊃iTh&∩	∧h%S	$x&∪iT`'R(d_#∪)∀h'S*∀P"R	D(%∩	4p%∩	4 $T*Dh(Ri4X*∪i$p'∀idx*∃*∃ %∪	th#⊂(d(#Qj∧X!∩
∧ "⊃	Dp&S	∧p%R)∀H"SHd0$⊃I4X(∀	t@#⊃(t8%Qhd`$⊂i$0#R)T8#∩I4x$RI4h$⊃i$H$S)4P$∩	∧h$Rhuλ%S	tx%Ri$P%R(e*Si∧ %S
∧h)∪IT_&∩i4p%Si$X&U	Dx$SidP(∀)5)∪Iu_*∪	dx%RJE()T*∃&∀
¬(∩)$x%TJE('Si$`(∪*¬((∃*U_&RiTp'U*U'T	u )TIEλ%Ri4`'∃
∀x'∀J∧h$∩ITp'S*∃((∀*E )∀j4x(T)$p'R(t8%∩(t %∪I∀(#⊃i$X$SI∀8%Qh$@"⊃)DH$∀ITH&∪i∀@#R	t`(Ri$h$Rht`$Rj∀`'SK∃P*Tj%)∀	e⊂$∩λ$@%RI4_$∩	tH*∀	d($∂i4X%∪)U'∪IDH#RITX%Rh∪(≠⊂J∧P$Sitp'∩)eλ#⊂(40!⊃(d("R(tP%∪I48%QλT`'∩)dh"⊃id8%⊃λT #∪	DX#SItX$Ri4X#SJ4p(∪	$x%R	∀X#SITH$SiEλ'∪	dh%SI∀($RI$0$RI∀X$∩	tP#∩)dh#QIT`&∪λtH$Riu(RiDX%∪)∧H#RiDH$T
∃'∪	E )∀i$p&S
∀p'∪IEλ(∪J4p$∩)E %TIU((∀)$('∪
∧P)T	e +∀iu8)Sk∃⊂(∀jU0*∪*Eλ(Sj∃ -∃ie%∩)∧x)Sitx%Ri∀h$Sλ∪p QλD@$⊃HTX)∀)tx'T	u &∪j∃(∪)$P'∀	dH'SiE%∩i4(!⊃I∀(&Qλt@&Qi%(S)∀X%Ri∀`'∀J∀P$SJ¬@(∪*¬ +∪
5('T*5_+T*∧p'Tj∃8*∃)4`,∃
∀x+∪i∧P)SiDH$R	dX'UJ∧`&TJUλ)U
U_)⊗
5*∪JEX+∀jU((∃ITp&SiDh&TJU'SJ∧X&∪)uλ%Rj∃λ&Sj¬λ$R)dp%SJ%(S)u)∃	u_)∪J¬*U*E⊂'T
∃⊂(R	d`'Sidp'Ti4`&∪)tX&∀	DH&∩)uλ)Si40%∪I∀@#SITh$Rj∧P$∩)∀_%∩(tP#∩	∧0%UITh&⊃i$x*RiU_%RλT⊂%Sie)∃
58+U
U_'∪I4x#S)∀X$⊃λt`%∪)Th#SJ∃0%T	T@&SI∀H%∪
$h$RI∧(!Q't_→(TH$Q)4x+RHeλ&Qht0#RhD@%RiDP$Q	4 !P	T`"RI∧X%SI∃'SITp'⊃)$@%∩(d0#∪λtH#SI∀X$∪ITp'∪	Tx&S)$`)∪	4@$∪I∧`#∩ht #R	∀`&R(D(%⊃HTX"R)$P%RI4h(∩h4p%RI∧(&⊃id@"QI5⊂'T*$p(T)dh(∪IDX&T	TX(∩	%&SI$h'T)u0(∩I$H(∪iU⊂'∃*∧X&S+U 'T*5H&SIT`(∀
U8+U	U&∪j∃)∀*¬(+⊗*$p)∀J5&T*4p(∪i48"∩H4⊂!RITP%∩)∃⊂'T	d`'∀)th%S)Th'SI$x'∪)Uλ)Tith&RI4P&∩IdH'∪i$P%∪*∃ 'RiU (Sh∀_(SItH'TIe)∪)5λ(T*% '∀+¬λ*∃k¬ &TKEP)U*u0(U*¬*∪j∧x(∀*$X%∩	u_)U	dp*∪
uH'T
¬_(∃	4`'T*5_&∪+$h%∀)t`)∪Ieλ&UJ5(+Uj5 +U*dx(U
e⊂&Sj∀p(⊃IDh&∪)E⊂'S)∧`%S
∧x'S)tX'∃jDx(S)5λ'UjD`'T*5_+∪iTh(SIth(∀	Eλ'SId@'S	T0'RλU&SI∀x*S)DP#SIdX&∪)∧P$S)¬'∀j4p*∀	dp#Ri∀P%R)∀`'TiTp&∩	E+∀*5⊂(∪J$x$SHtp$R(th#R)tX%T	4h'∀i4H#Qhth&∀Itx&S	4p$⊃HDh≠Pj¬&∩ItX'S)∧X!⊂h∀8!PH#x#R)∧X%∩iTh%∩	∀X'S)th$RλtH"SID`%S	t`%Sj∧`$PHtP$QI∧X$SIT`&∩	dx%U)∀X$QiDh)∪I4H#RHtX#Ri∧X%R)∧`&∩)∀X#Q(t8'T	4H$R
∧X#∪hTP&∪λd!∪)∧@#∪	TH$S*¬(∩i$8$SI∧H'Rj5((∪	tX(∀*%⊂$∪iu0*∃J5⊂(U
5%S*Tp+∀J%λ%SJ∃8)T*∀p*SJE8,Sit`(T)dp(Tie⊂'∪IT`)T
$h(∩j∧h&T)DH%⊂HD⊂!∩λT(&T)d`&Ri$@&TJEλ)∪I∀h%TJ∃'SJ¬H)∪idP(∪iu⊂)∀JTX#RIdh'Sj¬0(Sj∧p'RiE(T*∧`'S)dh$S*U_,⊗
e0+Vju_+⊗
∃λ)∪J∃(*∪*U_&S	∧X&∩itH#∩	40'∀*e(*∀
5⊂)∀
$x(U*∀`'∀	tp(U
U(∀
4x&T
%'∩iEλ'∪Idp*U
$p(TJEλ*S*¬⊂+∪I4h*U	Eλ(⊗j4p$∩JDx%∀j∧P&⊃(DP'∪iU_(V*E⊂)U
∧`%T)TX&S	th(SiE⊂&SIU⊂$SiDP'∪)dP&∪)∃()∪
∧0"R)t`'⊃HD@%∩I$H%Rj5&∪ie %QI$0#∪λdH%Sj$X*∩iDp)∃*∧`(T
$p$R($`'∪)$ "S	uλ&∪	Dx&∪	E &Ri4h$S*∀X&∩H∧_%Q(tP≥⊃)∀8#U
$X#S)$H$∪	$8!QhT_$Sλ$H$∩)4h'∀	tx'R	4_%∪I%λ"Q)Dp"∩ht0#Qht@%⊃i∧x%Si$@"Q)Tp&Si∧h&S)$@%∪J∀X'Si$X#∩	T`'QhT8&∪IDX&∩IDh#RId`.ThT %∪)$@#∩)∀X%QHSx$R	$P$SI4p%∀iD@$∪)TP&∀	%_(∪j∃_'Rj¬_'U
U(SI5_+SIu_*TJ5⊂(∃k%`*∀
$x'∩*u`*∀J%_)T	E*U	th*T+∃'RλdX&∀
%⊂*∪)∀X%SI4h%RhT@$⊃	∧_&∩I4H$SitX$∀	Dx&T	Dh&RiTh)∃	∀x(∪
∃λ*T)T`*∀idP$UITp&∩*¬%∪Iu'Sje⊂)V)th'∪*E((VjE('∃J%)∃
Tx'U
E@*TJDP)∪hu)U)e()∪)$h'RIdH&⊃i$h(Tie⊂(∀
dp+∃k∧`'T
%_+SJUX)U	Uλ-∃*¬0+SiTp(∪)e0%∪jTx%R)5'SJ5('∪Iuλ'T	e⊂)∀iEλ)UJ$x'Ridp%Sj∃_*U)dx'S
50(UJ∃'T	$X(∪j∧x(∪IU&RIt@'Rj¬λ)∩	DX$⊃Iuλ*S)4X'∪)DP&∀)U⊂&T	4`&∩j∀h"Qj$h)∪jDX$∩HtP'UItp'∪J∧x'∪i∀x)Tλd8&∪)$@&∀J5 'R)dp+∩Ie@(SItp&∩J∧@"QλT0$S)48%Q(tP#S	DH ⊃I∀0&∩λtX$∩	$8$RλdH$⊃λd`"R(dh$⊃λdH&RIDH%Ri4P#∪)tx%∩)t`"∩I∧`$R)∀H%R	∧`#Q	$h#QJ∀P!Qi∀_!⊃	dP#Ri∀h%S(tX#R*∀P%SHd0#∩λTH%RId("RI$X(RI$p#∩I∀P&∪)∧h%∩λ∀ #QhTp&∪)∀@$S	4P%Ri$X%⊃I5λ*∪iD8&∀	4`%S*E()T*%⊂(∪ITx)UI4H$∃*U((∩J∧h&SidP)∃*Uλ'U
e@*∃J%+TKU((SJT`(SI$h)T*u *RidH%R)∧X"∩Hd@#⊃HD "∩)$h'SI4`)∪j¬'∀	u(∪	uλ+∪
¬ )∀Iu)∪*$h!R)$8$T)tP%∩I$X&∀)Dx'Uie0)V	u⊂(∀
∃ )∪)Dh(Tj¬⊂+T)DX%∪idp&RiU⊂'∪)tp(R)DH%QITH$Qi∀h(Rj∀8$∪*E0(∀K∃@)∃itp(T*Eλ'SIE *UIDx+RjUλ*∀+%⊂(TIE&∪*¬()∪*E⊂&∪	Tx&S)e%T	E_(∪	dh(∃
eλ'T	4h%∪	tp)∩J%_(TJE8(∪j∀x)U
u_'RiDX%S)$h+∀	$X'SI$p)S
∃λ)S)4 $S*¬(RIU &SIDx'∪j∀p'TiDp)∪Idh$∩λtx%Tj$h)∀j∃_'∩)4x%∪*∧p$SiDh(R)d`)∪I$p%S	dx&∀
4p%SJ$P(∩iD`%R(T0%R)tX$∪It8$⊃	∀0 ∩)∀h#PH4⊂#∩)∧("QiDX$∩)4H#∩i∧H#RλtP$∩	4H'R)∧8%Q)∀⊂∨⊃HdP%S(d0!QλTx&⊃(t(%RiTP%∩i#x#Q	$(%∪)∀X%⊃i∧X%PhTh%⊃iU⊂&R	d $∪J∀X$R(t #R)∀`%RIdp&T(tp$⊃πt '∩)dx$SHd(%S	D8%∩iTx&∪j$P&S	tx%∀λt`*S(TX(T*∧p(∀j∃⊂+⊗*EH)T)eλ)RIE&S+%_&Riu@(S)Eλ*⊗*D`'U*$h&∪iu*∪I$h&SJ¬⊂(∩idP%∪)Tp#⊃	∧`"⊃hE_'∀	t`$SiD0$∩	T8$∪)e⊂*∩idp*U
%0(U*∀x(∀JE⊂)TJ$h"RI5*∀)T`(∀)4@'Rj∧`%Tju()U
EP'∀J∀p(∪J5_)∪iE '∪j∀P%∩	4X$RJ∧h&∪)∧X&∪iDh&∩I$@%QIeλ)T
Tx(Rj¬H)∃j∧X'∃J¬('∃jtx(∃
%λ*∀JE )S
%⊂)Ri∃(∃
Dp$Sj5λ'SItp'R)u_&∀*Dh'U
∀x'∪iTx'T+∧p%∃JUλ*T)∧H)Ritp*TIdh(⊗	dh(TJ∃P-∪jE_'T
U(*S*¬'S)T`'∀*4x#S*$h&U
%_'T*∀x(TjE⊂)∪j¬⊂'Sj∧X&∩*∃@)∀*∀`(Rjdh)U
∀p'∩)∧0%∪I¬(%S)E&∪I¬(V
uλ&Sj∀h%∪	48'S(DP$⊃i∧H'∩i$H$Q	E &Sidp#∩	U %∩hd(!∂ht(#∩	%⊂%QHD⊂∨Pi∀8&∩HDp&R)U&∪I4_"RIT⊂!⊂Ht($∩hdH$∩	∧8#S	d@$∪iDH$∪	$_#QID@$RITh%∩(th$Rλ4`%SITX#Rλtp&RHt@(∩HD(#QI∧H$R	Dx(∪IT0%Q'tλ$∩I∧h&∩IT`&∪*∧P'∀
∃'∩ie⊂(∪)4`%∩i4h&R*%_+U*U⊂)∀j∧x(∃*∀x*SJ¬λ'T
¬8)SIu((∀*¬_&∪Ie@)∪idx*∀	eλ*T	DX+∪i$h&U)TX#R	u&Q	∀@"Qi∀P"⊃)∧`'UJTX#Qj∃⊂(R)∀`%S)tx&∪Iu⊂)Ri4p,∃Jdx%R*∃⊂*U)tp#RIdP%RiU&T(u +QH$p)∀k%λ(U
E(*∃*∃(∀
∃(,U*58%S	$x#SIu 'TJ∃λ(∀	U'∩(t@%Qi∃⊂+RiE )U*E`*S	uλ%T*4`&Sj5 .T*¬'TJU8*U*%(+∪Idh)∃It`$RλTx+T)dx%∩i∃_'R	4x'RJ∧p'∀
∧x&∪)∧h'∀
4X'SJ∧x%S
5_)∪j$p%SIuλ&∩i5_)Tj$x)∀*∧x(U	Dh'∪)e_)∪ieλ'S
∧p'Rid0%∪)dh'S*$x%∪J¬ ,∪iu_)VId0$S*%P'UJ∧@&T	Dx)∪Hd@%∀i4h"S	$X'∀J¬&∪i$H(∃*∀p%Sj∧h$∩h∀8&∀	T@*UJ∀p%∀I4X$⊃i$x&∪ITx'RIth&⊃i∀H#⊃(4 "⊃hd0#⊂(tP"QHtX$R	T8#⊃i5λ(⊃i∀`%Qhd`%∀i4x%R(D($⊃iTP%⊃HDH!QλT #SI5λ%S	∀_$⊃I$h#∩)$h"QhD`#RλtP#Sj∧P$∩It@#R	DP$S)$p#R(T8$∪)$X$Ng4H%T	4p%R	∃_(∩	5λ(RIDP)T*$h(∪iT@%R)¬*Tj$`&T)Th&∀
%@+S)tH*∪IDP&TJE@/∃
u '∪	e((S	e_&T
eλ&Sith%SIDH&∀Ie&∪i$`#∪	∧0%⊂ht("PHd`&∩)D`'∀J¬λ(∃
u&⊃iDx%Qi4p)∪j∃_'Ri∧p(U
∃'∩)DH%∪	40%∪Ieλ)∩i48(∩j5⊂)∪itH%RjU )SJ∃ *∀iU(+∃jU0*⊗
%(,∪itX'∪IDP(TJ∧h(T*∃⊂&∩iDH#RIDP'Siu⊂)T
E(∃*∃λ%Tj¬@/U
∃λ+∀ITX*∪je_)Tj5((SIu⊂(T)5'RHd`&∪	U(∩iD`'∪	E(S	$P%∩	48&RI∀p&S*E(*T*∃_%S*¬'∀*eλ'UIDx'T)U_'RI∀X%∀*4X)∩IU⊂+∩)Eλ&S)th'∩I∃λ+T)dp(∪	E(SITx(∪*∧h&∩iU⊂)RI∀`'S*u'TJ¬$Rieλ&∩)uλ'S	D@(∪ith#U
e&∩iEλ(∀	e⊂'T)Th$RH$P%R(u(T)d@'∀)$H#∩)∀P&∀I$h%S)∧`(QHd(%⊃	∀H&Qi∀p$RI4@%Rλ$H&QHt8"QI$@$R	Tλ$∩ITh#S	$_∨RI4p#∩i$@"P(dH$RI$X%Sid(&∪	∀h$SiDP!S	∧8&∩)Th%RiD8#Qi∀h%Tj∧X%T)∧0$R)∀P(∪	Th'∩j5(RπSX#Tλt8(∀ItX'∀IDX%⊃i∧`%∪i4X&∀	% (RiT0&R)%⊂)SjTx'∃	tx'T
¬((∃J¬*∃J¬λ)∪itp'U	u⊂)Ujth+∀J5⊂(SI4p)SλD_#∩)e'RI∧`%Q)∀0$Q)$0 Q(d8"Ri∀p)SI4x)SItp&R
∃'Si$X'SiE%∩J∧x(VJ$X%∩(dp%∪*∧H(SItP&∀*∀`'SJE *∃)th(Rj∧P&S	U'∪*U8*∪	dH%RI∃8)∃
E⊂%R	∀P(∪	Tx(QiD8%QhT`&Qi$P%∪)TH(TItp'∪jTp(SJ∃8'Tk∧p%∀J4h(T*e(&UJe('S	¬'∪J¬&S)dp'∩)Eλ(∪Itx*∃+U(∀*∃&T)T`*∪I$`*∪)∧H%R)D`'S)%(∀*%8+Sidx'∃Ie⊂'T)TX&Sj%⊂(∀	tx%∀
∧x'U
∀P(∪J%_*∀idp'∀J%λ(T	e⊂)S)D`(∃	Dh#Pi% (U
%_&Tk%_'∪I$x'R(∀0$∩i4p/∀*∧x,T	∀ (SItx'T	4p(T*∧P%∪jdp(∀	tx$⊃j$x&R)T8%∩	∧0%T
∃'∪)∧h$∩I$0!OhT(!∩IDP#∩Hd@"⊂i∀ "∩)E $Q	$P%∩HtP'∩λT '∀(d8%⊃λD8$R)4@%R)$P&QH∀0$RI∀@%R*¬λ#⊃(TP%∀	D`!RI48$∪	4@$R(4@$⊃it8&∩HTP'∩ith&R)$h*∀	DP%R)$@#R)$x&T)e'Qid`(∃I$`%S	D@#S	∃_&∪
%'∪*dp)∀*uX*∃	e *T
u⊂#SJUH)∪Jtp'∀
TX&V
E(+∀idx)∪Iu_(Sie (∩*∧x(∪I48%Pi∧X$Qj∧H$Rλ∀⊂$⊃hT8%S)4X'SID0%∪	d`&∪Ie&S	dx(S
4x'Tj5'U
Uλ)∩λTh)∀*∀h%T*∀h&T
E_'∀)U 'S)uλ)T)tp$Siuλ(∃
%H)VJ∃λ&SJ¬(%SjU((∪)Dp%∪*¬⊂*S)∧_#∩	th!RJ5⊂+⊗
5λ.∀jdP'S*5X)S	$p(V*e@&S
¬ *∀je8)SJU ,∀*5_(T	u (∪j48&T*¬⊂(T	dx'V
5_(S	e&TiT`$Sjt`'∀ie 'S
∀H$∪)Dp(∪jTp%Rj∧h%R	%)S)tx'R	Tx)Sj5 %TjTP&∀J5()∀Idx$Rjuλ*∃
∀h(∩i5⊂(∀)tx(∪j∧`'Sie*∃*Th%T)T`'∪ItX"QI$`'Ridh*Sj$x,∀ieλ&Rht@%∪j∀`(∪*¬λ*⊃idp)SJ¬⊂&SλdH&R(t`&Qπt8&∪I5λ%RI∀X$Oh$`&∪HT8#⊂iDP$R(dX&RiT_#R	∀@&∪iT`"Rht(#∩I$8"Qh4@#⊂HdH&∩I∀`%S	DH'∪	$p'⊃hd0&⊃)∀P$QI¬#⊃i4x#∩IT0$∩	5⊂'∪h$@$∪)TH$RHtX%RJ∀P"R)DP'∪j$p#∪	DX%∀
U_(∪)∧`&T*∀h*∪)$p'Sλtx(∀)Dp*SI4@&∪)u_+∀kU8*∃IuH*⊗*eλ%∪*eλ*Tiu_(Tieλ'RIdp'T
¬((∩*∃@,Tju_+∀	tp*∩iDP&SIU⊂%∩I$X#R)∧@$∩htP&⊃(4h"S	e_%∀	TH%∀
$p'∪*¬_(Si$P"Rj∃ (W
dx)∪IE%T
Dx'∪JDh'TjE (S*E&∃itP'∀JU_)T	uλ)Tj4p(∃*¬8*Tj5P+∀I5⊂'∩	u'∩ITh%SiDx$⊃i∧X%S)d8&Riu_(U*U⊂(∀
5H+∃Ju0)TK∃(,∀)e0(T
5 *∪J%H(UID`)S
¬(-↔	t`%RJ∧`%SJ∀p%TJ%λ)∀
$X&∩j∃(&SJDP%∪j∧h&∩J∧`'∪iu(SJ% )∀*4p$QJ%_*∀	Dx'∪idh'Sju0'U)tx'∪j%('∀	e⊂)Sj∀`%TJ¬λ+V*$X'∀)%⊂'SiDp(∃K∧h,V$h(∪	Eλ&S*5λ&∪I∀`&SHTH)T
∃⊂*∀*∀X$Rλ$X+RI$X'∩	4X$Si4X$⊃i$`'SHtH%S)DH!⊂hTH&∩j∀p&SI$`%PHtX!⊂(t@&∩)dx#RHT #⊃Hd8$∩	4X&RHD⊂%∀λt $∩(T@$⊃(4_"PhDX'⊃hT⊂#RλD0&∪λ4`$QI∀H$QI∀x'Qi4h%∪λ4P"R(tP%Q	%⊂$R)∧@#RiTp$SId8$∩i48"∂'D0)∪j∧0"∪	TX'R	∀h$S)4p*S*uλ'T*∃)T
%⊂'Qi5,∀
∧P&∪+¬λ*∀Jeλ)Uj¬((∪Itx)∀iTp)∪j¬(+Sj¬'∪
5λ,TJe⊂(∪
5_'T*dx,∀J5λ*∀	d8 Qhdh%R)∧@$R	∧8"QHt`%QHtX'∪)D`%Ri∧`(∀
∃_&S
∃⊂'∪)4p)∃+¬_+T
dX#∪)T`&⊃	∧X)∪)dX'⊃i%λ+SHt`)T
E (T
5(S	dx)∃
%(*TJ¬ %Tj4x&∃J4h$∪jD`)∪	∧X'∪ht@&T)tx%SiTh&S)dx(T)4h'∪J¬λ(∃J%_(TJ∃λ'Sj∃_(SjeH+SJe@,Siu⊂)∪)u(S)T`&∪)T8(S)eλ(∀)dx(R)d`&T*∧`)∀iDp(S)u(T
%λ'∩iDh)∪iD`%∀	E&S)E %S)e (∀Jt`'∀*$p(∀ju_&SiEλ(SJ∀x(U	dp)∀ie_)U*U+∪J∀`&Q
E((V
4x)∀IU(Siu⊂(∀	dp#∪	tX&Ri4X(∃
u_(∀)D8"∩I$`%T)D`&∩)∧0%RHDP(Tλt8$R)$@%SλSh"RhtX%∀I4H&T	dH%RHD %RI$_#QH48&∪	$0 T)$X$⊃i∀P$Ri∧ "Qhtλ$∩h4⊂ Ph$⊂"⊂HT@&∩)D0!⊃)∀P&∪λth&∩)$h PiD8$RHTh(R(d0&Rh40$⊃htH%∩I∧_&∩i∧0"P)$x&⊃I$`&R'4P#∪
Tp$∪)u('R)Eλ'T)4h%RI5)∩Itp)TIT@%T
∀p(SIu((SJ¬0.∃	Eλ,U*¬($∪
∧X)TjU(V*e_'∀JE(∀)e&SjE0+⊗jU_)∀j%⊂)∃JTh(∀*∧X"R	Dh&⊃I∧@'∪i∧@"⊃	∧h&SJE⊂)RITP)SIt`'Sj∃λ%TI$h(S)T`#∪*% *∀
∀p(∀*∧@$S(TH#T*E_&T*eH,TITx)U*∃λ)∀
¬ (∃
5 %RJTh*T
∧p'Ujeλ&SIU)∪i4P&∀j5_(T	D0%RHdh'∪)DX)∀*$x'∀J∧x+∀j%λ(S	E*W)5⊂)R
u_)∪JU@(∩*5λ'SIU)TI$ )∪)$@#Ridx'S	E_(UJ∧`'RJE'SiT`%SiTh&∩iD`#T	u'∀*∀p&TI$h%ShTp%R	Tp'∀*U⊂(S)tx)∀)dh&S)dx%Sj∃ 'T
¬_%TJ5(U
Uλ(Si$H'Ui4P$∀*¬λ&∩)$`'Uj∃%Sj∃λ%SIuλ'S)t0$⊃H$X)V
Th%SItx'∪*4X!∩*∧X&SI5⊂%QIDh$RhT0%∩	∀H"Ri∧($QI4("RIt`%⊃ht8%Q(T8#QI$P$TJdp&Qhd(!Pi4h$RHdP&S	∧0"⊃h4h'⊃($!SHTλ"∪λTX$⊃(∀H$PHD8#RI∀H#QHT !PidX%Qi$8&∪	4@'∀	dP&∪iT8#⊃Hd(%∩(u(&∩)%λ'T	4@$S)4p'∪idh&⊃j4X'TIe_&Rhtx'∩hDP'Rj$`)∀)u((∀)∃'Tie'T)Dp-∀J5⊂(SI4x(T)u('TId@%S*5(∃
u()∀k∃⊂)Tj∃x*∃*4h%SIDh'∪Idh%RI$p%∩λdP%SI$(!⊃i∧ &∩Idp&∪idx%∪*4x&S
%_%S	DX(∪j4x(T)%⊂)T)e()∀)T0&∪j5λ'RidX&∪j¬ (SJ∧p)RJ¬λ(∪j∀x'∪IDP$∩)4p(∪	U0,∀ie⊂)TJ$p&∪Idx'Sjd`%T
e⊂(TiTx&R(t⊂'R)U_+∀)E*∀	u(%∪iU'T	Th)∃JeP(∪jU⊂&∀jth$Tje 'Tj% )∃*∀@(R)th&U)uλ'∀)Eλ)Si5 &∪j5 )T	u⊂&∪	Dh%RIu'S)4P%Tj%λ(∀)∧X+SjU'SIEλ(∃JTh&∪ITP(∪Iu'TjDx'∪I$8%∀*∃_'T	4H$∪J∀`&SiDH%R)D`'∪j∧x)∪)uλ&∪j∃_$S	E&∪IdH#∩)E)TJ$h,∀Ie(⊗
%8+U*T( ∪Id`%RI∀P(∩Ith$∩)$h$RI4P"∩i∧H&∪ID8"∪I4P$RI∧λ Pπt $Qi$h$RI∧8(⊃i4P"QI∀x%R	∀X"∩I$8 ⊃Hd0∨QHD#Qh∀_!S	t8"⊂Hd0#PhT(%QλtH$∩I∀P%QhDH#S	4`%S
∧h%SIDH"∩*$x'∩iD($Rλth%⊃(dP#SI∀0#∪Ie⊂(Uj$x%U	eλ'U
$@)∪)tp)∀*¬_'∀
E_)T)E'S
5)∪	4p&Sj∃0+⊗¬&∀	E(∀*%('RIt8!T
%(*V
%_)S*¬@)U*eH-∀	u@)∩ie(&∪Ith&SiD@#∩Itp"⊂h$@$Rλd8"Ph4x$∩
∧`(∪je⊂&T
E (∪ju⊂)Sj∀h&Si%'∪)Tp%∪*e⊂'TIth%SITp'∩)4X'∀	DH)∪jE)∀	dh$TItp'U	4P(T)uH'UJ∃)SitP&∩iU&∪)$(%∀	tx&∀)dx&Qi4X%∪	DP'∀J∧x(∪iDh&∃ITp)TjE0%∪jE +∃*5_)∪ju &S*dh)Uj∃+T	Tp'∀Je)∃	dh'∀jVλ*∀i%$S*50-U
∀`)TIdx'SIeλ)∪*Dp%∀
E *TItX&∩I4P%SiTx(∪j$p%SIth)∀Ieλ*∪)4P(S)Uλ'TJEλ)U
∧`(∀
%&Ti∧p(Q)∀P'∪	TX&SIe⊂)∀
$X&Siu'SItP&Uj$h%RiT8*∃J∧X(Si5'Sj¬⊂#Rλd@&∪I4H(S
∧p#R)$X%∪(∪H≡QId@$R	dH#⊃(d@%∪	∧!∩(t0&Si$X#∩	$@*∀	∧8%S(4 $⊃	dX&∩hdX%⊃)∧0"Qi∀8&⊂iD0#R(tH#⊃λ$⊂"Ri∧X%∩HtH"R)∀_%∩	∧@%RI∧X%R	TP%∪	D`#∪*4H%∩iDH'⊃Htp&S)%$∩(t@%S*¬_)∪iDp(Ri4`'S)5(∀)dh&∪	dx#R(tp)SiDX)SIe )U*%%∃*5@(∪iuλ'T
∃ )TJ4`'S)t`%SJU%RI4h&Tj5λ)∃
5('∀*Uλ(T*$x(S	tH%∪IDH"R)u&R)∧(#QHT⊂#∩	∧x%Qj$p(SIUH'∪	e($∪I4P'∩)tx'T)uλ'∪
∀p'TIuλ%Siuλ$R*¬ )SI%λ&∪)u'∀*Uλ(∀)4h(S*¬)TJ%λ'∩iu )∀*e )S)DP(∀JDh(S)e⊂$∪Ie '∪i$H%QI∀p&T	T`(∪ItP%S)uλ)∀Ie_&S
∃&∪j%H'Sk∃⊂*RiUλ)∃j∀P(T*u`)∀	u%S)tx(TK¬ (T)U )T	u_'Si$@'S*∀X(∀jE((S*¬λ(TIU_&T
¬⊂(S)TX&∪*4p%S	U⊂'T*∃'S)u (T	u)S)¬0)∀
U((∪Je8)∪I∀x'RjU(*∀itx!RIdp(∃$x'TjE)S)tP'∪	E(∀)Tx%T	∀H'Ri∧X(Sj%λ*TJ¬H$S)$`&R
∧x(S)T⊂"RIDP'S	U_%Qh#X QI∀#∩(t@%∩πd0%∪	$λ!⊂	4_$∩)∃_&∪htP$R)∀`$S)D`%Qi$`%S	4X%∪	$H!Qht($∩λ∀0"⊃λD`&∩λtX!R)∧x%∩i4`%Q(DX&∩)d`#Pλd@(∩iD8'∪	T@!QI∧h$P)$`'∀)$h&∩)Dp(⊃)DP*S*∀P&∪	E '∪iT@'Ritx*∪
∧`(SiTx$SiU +∪J∧h)∪∧x%∪JE (T*ep,∀jEλ)S
∀x'∃*dp&SjTx(SIu'SJ∃'Sj5λ(∀
∧x)∀)dp'Si%('T*∀p'∪Id8$∪J∃_#Pht0#Ri∀`%∪
$`(S*¬⊂(Sj∀x'T)tp%S	t`%Rie(⊗j∀h$∀J∀h'↔+%(%∀	$@"RλDX'U	U'∀	¬⊂)Sk5*T)DP*∃
Dh)∀itX&U
5+T	e'W	dh%SiTX'T)4x&∀
∧X%∩)48%∪	TP&∩iDP)∀	u'SjEλ'T	%λ*↔j∀h$∀)u('S
U(∀*¬)∪*∧p,∩i5+Uj4h$∩i$x"T	eλ&T	U_(∀Idx&∀ITp%∩ju8&SiU'T
∀H%Si∀p%R)∀`'∩)E(∪iu⊂(Ridp(∪iu_)Si∧`&S	∀h'TITh)UJ∃ '∩iE0&R	¬λ'Rj%⊂(Sλt0$∪I5 &S)TX*U*∃_&S)Tx(∃*∧x&S)Dh&∪i4X'Ti$H(Sj$P&∪*∧@$R(DP$⊃λtp$QHdH&S
∃_&⊃IdP&SλβX≡RHD_→Nλ∧ "Q(4H%⊃iD8&∩)∀⊂"∪ITh$∩i$@%∪J$8#QI∀@$∩iTλ#∪)DP#⊃hD $SHT⊂"∩(T0#RI∧H#⊃(dP%⊃hTX&R(tx%∪λ4_&∪	∀(#R)D8'∩I∧@#Q)Eλ$Q(d8&R)t`#S)$8&SI5(⊂i∀P&Qi∀`&RI$X$∪j4H#QI∀p&Rj∃%∩Idh(∀)u⊂&RJ∃λ&Sj¬λ&∪I¬0*∀	e )⊗%_*∪*∧H'⊗
4H'SjE8+∀J¬ '∃	dx'SjU'∃iDH(∪Ie'∪	u'∪)Dp%∀	dx&∩	d8%⊃gt8#RID0"S	∀P"∩)∀h%∪IDX&∩
∧p(∀*4h%∀*∃ *∩i5_(U*¬((_mUH+∩*∧p#R*∃ *∃	Th)∃	u_(TK∃λ%SJ$p+∃
∀x*∃
E (Tj¬'SJ¬0)∪	DP)⊗)DP'SjE_)∪
∃0)∪i4H#∩)Tp%∩htx)S)TX)T	u (T*∃'∀)dh"QiU)TK5_(S*∀X(∃
5(SJ¬&Sj%H)∀Je⊂(∪iD`)⊗
% +Sitp'T	tx%T*U⊂*∀je8)∪)Uλ)UJ¬ (∀
Uλ'S*∧H%∪*∀`%Sj∀h'∪J∃_(∪j∀x(∪I5)∀J∀p'∀+∧`'S)∀x*U)$h'∀)eλ&⊃I¬,∀J∀x$∪)dp*S
¬⊂)∪)dh&∀	∃'SID8%∀
∀("∩ID@+∩ie0(∪id`'∪ITx)∪	Dp'S)d8%Ri∧p&∪	$X&TλT∨∩I∧H"Pλ$8"⊃)∧X&⊃ht8"P(t⊂ ⊃htH$QitH'∀
∧`$SI5&∪i$#⊃λT0"S	$(%∩i∀ #∩)TP#∩	∀8%⊃(d0%QI4H$∪	$@(Qh4_$∩i4p$PHd@$Si∀8"Si∀0&∪	th'TiDp%∩I∀h%TλD8$⊃hdx&R)d@%∪j5λ&∪	$h*∪)$`*SI∀H'S)$x%T
U⊂)∪J∧X%TIuλ)∪)u⊂-Tj%0,∃k¬()Tie(∃JDx(T	∧X)V*uλ(UJ%⊂(VIt`&Uj∀P(∪J∀P$∪)tH$U	Tx%Pλ$P%RiDX%QIDP$⊂H∧ "∩Ith'∩IT`%∩J∀h'SJ5&T	4p$SJ% (∪J50&T*%λ(∀kfp7∪)5(∀iTp'SID`(V)u0*∀J¬+∀	U@*U
∀x(∪juλ&T*4h)∃*∀p&∀	u_)R	Dp&Pi∀p)∃
¬_)∪λdH'∪Ie%S)4x'∀IE)∪*¬⊂'TJ∃⊂*∀j∃⊂(∩(u_(SjE(&∪j∃(⊗	TP'TJ∃8)Sidx)∃
∀X(∃je⊂%SI∃)TIdX%R*$x+∃K%@&TiEλ)T	U'∀
∃⊂)U
¬_*Tj5λ&U	e(,∀j∃'SIe⊂*∃
∃λ'∀Jeλ(∀
¬λ)∀
5λ&SiTP'S
∧H%∪)4@$∪IDX(SIe(U
Eλ'Tj∃λ+∀ID`(RI∀X$S
∧`'∪J∧P$Rj∧X'R	D0#⊃iDH!Q	∀X*∩i4p(∪HtX#RIT`%∪)DX%S	TX%∩HT@#R)∧0%PgtH$Q(T0"∩)$⊂ PHDH%R(t`'Rj¬0(SI4h'∪IDX ⊃i48#RλT@$∪IDP#QHdH!Qi∧x$QJ∧H$⊃)T ≡Q)∧_&PhD0"QI$ #S)Dh'∪	4P"P(d0$P)∀h#Ri∀P&∀I48#∩i∀P&S	∀x&S
dh$⊃iDh(Si4X&∩)TP#S)Dp'RIu_&SJ4x$∩J¬⊂%∪)∧H&∀*∃)V
uλ)TjE⊂'RHu_&UJ5λ+T
$p)SJE0*SJ5(&SJ∃λ(Tje&Si$p%S*E⊂'U	D`&Qh40%∩)∧H$Qh$ #∩)DX%S)TH&R	eλ'∩)Th$S
$p)T)Th%∪i$`(U	eλ'∃*e_'T
%P3W
$x&∪
4x%∪ju'∀)Tx'⊗
∧x'∪I5λ&T*∀h(T)Tp(R	%(⊗J∃(+∪jE #Qi4X$S	∧h(SI%_'∪)T`$QiT@'∀
5'SiE⊂(∀*∀x'TJu((∀
¬(+∃jUλ'S	u_*U*5⊂%∀	U_*∀J∃⊂+U∃_$U*u0)∀Je)∪
¬⊂*∃*Dp&∃J$x)∪*U0(V
5λ&∪iu_(∃
u*Tj5 'SJ∀x%U*% +UiUλ(R)4x,T*50,∀
∃λ(TJtH$Si5&T
5 -Uid`(ShtH$TJ¬&S*∃_(∀jeX*Sidx(TJ∀X%SI∧p$S)Uλ(S)4@%⊃iDh*⊃i∧X$⊂ieλ(RhdH%Qλ48$⊃i$@$∩)T@&SJD`%R(d`'⊃idp$∪Id8"PH∀0∨Oλ∧(#∩h4_"Qλ∀ $P)T('∩λtX$∩i4H'∪
Eλ%QJ∀h%S	∀@"Pi∧`$∪	∀8#∩	∀8$∩Hd(%∩(d⊂!Qhth$S(tP"⊃I∧X!PHDX#Ph4X"∞GD0!H4`#SHdh&∪i∀X$S
$h%∪	5(TiDx#∪	U⊂$SiE%∩	TP#∩i%_'∪	tP$Rj% 'Ti$`(U	E⊂)∪jE0,∀*E_+∃
%_+⊗	U⊂'⊗J$p*UiU(*∃	Tp'SI4x'∀*5⊂)∃j∀`)SJ∃λ'∩j∃λ&T	U⊂%PI$0$⊃λ4 #RhD(#OI∧X+U	t`$∩IDp&S)Tx(∀j∧X*U	t`(SiDp(∪
5'Tj∀P%Sjep+U	uλ&∪IdX'∪*∀h&T	DX&∪It`'∀
5 *∀Ith'T	∃_'S
5((∃*Dx(∪Ith%T
5λ'⊗
tx(∃idx&⊃i5('S	4X%∀
%⊂'TIEλ(⊃ht0%SJ∃λ)V
4p)∀j5 *∪k¬λ(∀j∃λ&SIU*T)e⊂)∪jE⊂(T)5⊂+∪i$h&∀k¬0+⊗j$p)S
dx(∃Iuλ%RJ%H-UIdp'TJE&∪JTh'SITh(Sj¬(∩jDX&T	th%RI%λ(Sj$h&∪IdP'RJ5_(∪	¬&R	dp(QHTx(⊗iu%S*∧x&∪*¬λ'RIE0)U	e(SI4p&∃j∧H$S	t8$∩)dX&∩I$H#⊃HTP QiDP$RId`'∩Hth)∪i4`(∩)$8 OHt8%∪)$`$S	4`$∩(Tλ∨OπD_!Q(T Oh∀H&⊃(dX%Si$X%∩λT(%∩j4h$T)TH%∩HDP$∪IU⊂#∩Ht $⊃	∧H#⊃I4X"⊂hCp#∩λt0"∪	40∨⊃)4 "Q)TX"Qλ$8!Nh∀_$⊂iDX#⊃i$@%∩Hd@%SIE%Si4P&∪Ht@$∀	dp(Sj∃#RIU0*Rj∧X%∪*Eλ%∀J∀`&∃Jt`'∀	u_)∪j¬ *T	u_*∪)t`(∪)4P)⊗k¬(∀J%⊂'VJU()∪	%'U	e_)⊗J∃,∪i$p'Ti48&∪I%λ*∪	dP%⊂H$⊂!⊃(∀⊂ QHdp2↔JuP%RI5⊂&T
e@'∪j¬λ)TJ¬(∀J%_&∃*Th$∪j∧X)∪	v07~jTX'RItP%∃	eλ%T*Dx'∩J4H(T	U_(∀λdx'V
D`(∀*¬'∪JuH(∪jdX&∀	DX%∪)4X$QλdP&SiTH#S	dP(∩*¬&Sj¬0'U
U⊂)∀JD`)∀J¬0*∪j5⊂*U*$`,∃K%8%∪j∀x(RJ∃λ*U*Tp(⊗	eλ*∃*∀`)⊗E⊂)U
Eλ)∀*%λ,∀J∃(Ujtx(UJtx(T)th&TIdp'Siu_(∪)∧8'TJu$∩IU(Ti4h&∪
%λ'∪J∧@$Q)5@+T	4p%S)DX$S
¬λ&∪Idp'SJ¬)∀j∃ &TJ5('∀j∧`*R	TH#TI∧h%Si∀8$Q(dP%R	4`&⊂(T@%∪)48$R	u⊂&∩)e*∩iTH&⊂Hβ0≥Oi∀p&RI4h*∀	tH$S)40$⊃πCx&∪	∀X%R	TH$T
∀h&T)Th$∃	d@#RId8$Rhd $S	4P#SλdP'Ri$ $⊃iD@!⊃)∀X$∩(T($RI∧λ$∩(T #RλdH&QI∧ !⊂IDx%⊃(4("∪
∧x'∪i5#⊃HtH$S	th'∪(Tp(∪)%_&S	U_)S*5 &SiD8&Q)4X&T	E('Si$x)U
E_(T	U()T
5P+T
Th'T	$`'U*∃()⊗
¬_'U
∃'∀j5⊂*TJ%⊂*T
∃_+∃
∃'∩ie@(∪	5⊂&TIDh(∩i∧`"Qλt0"∂hD0#⊂)%8._k%⊂'∪*5 '⊃)4P%SjUλ)∃	TH&SJ%@+T	Dp(UJeH)S)$x1≠5%UIDX&Tk¬⊂)∪)tp(T)uλ)TJUλ-T*5_(∀
50'Tk¬_&Tj∧`'∀)e⊂*SJE_%Sitx$∀J∀`$∩I4x(QhTX&S)Dh(∀
∃_(⊗*e⊂-∀*U⊂*⊗jU⊂)∀*e⊂(∪JTx+∀k∃0)∀J∃⊂,∀j5_+∃J5λ(∀J∧`%RjU⊂(ViDX(Tj5λ-∀
∧p'UK%λ(T*5()Vj%⊂*Tj∃⊂)∪
$x)∀iTp(T)d`(∃*∧P'∪iE'T
Eλ+∃
∧x'T	Dx'TjE'∪ith)∪	#x≤∩*5⊂)∀J∧x(T
∀`'∪)Eλ(S*∧h'S)%⊂)S	D8$T	TH'⊃iDP$Qi∧⊂'∩iD`$R)4(%∪)4X&⊃Hd($QiTH'R
∧X)T(dλ≥∞λd(#Q)t`(∩)∀8$∀(D0"QH4#∩	∀X"⊂id@$T
∃λ(∩iD`&∀)5λ&S	e⊂'∩)∀@$∪HT⊂$R(d($Rλt@$Qλt_#∂Hd⊂!Qλ∀(%R(dP#⊂i∧X%TλT`&∩itx(∪J∃⊂#Qλ∀0#RiDp'Si4h%SiT8%∀J¬⊂&S)∧x%T*¬'SIdx%SJ∀x'SI$@%RIt8*∪¬_(Si$h'∪j58)∃
%_(TJ∃+∃jtx&T*¬λ(T*∧x(∀
dx'TJDX&∀j¬(∀JU(∪j$X'∀*%λ)U	dp&Rj∀h)TIdH$Sj∀p(Rhd_!⊂(#p!⊂λe⊂-∀K¬((Rj∃_&S)∀h"U*∃(Tj¬(.⊗*∀P'T+∃((∀J∃⊂,U
¬λ*_*TP&∪	u&∀	¬λ'R
¬ 'Uje⊂+TItx'S*uX*T
U (Titx*TjT`*T)dp*Sj¬'⊃(t8&R
Uλ&S)Dh&∩	∀`(Tiu⊂+⊗
% &SIDX'T*50)V	tp(∃k5()U*e(T
4h)↔∃_+TItp)U)dp&T*d`'∪k%('∀*¬⊂)T
Eλ(Sj¬_+∪I∀@*U*%_(∀jE_(∀idP+∀)U⊂)Tju⊂)∀	dx)S*5(+Tj∃_(∀
4@%Sj∧x%TItX%T*U'∩	e_#⊃ht⊂~Pie⊂(RIe (∃
$p(T	E_(∀
¬ &⊃ith&T	D@$R)T`#R	∀@$R(d@$∪i$`%Rλt`%∩j$@$R	5λ%∩)$`%S)4P'∪I∧`'⊂(T`#S)T`&S
$h$PhTP"∩	∧ !OhT(≥⊃
4p&∀	T@'∩)Th%⊃I∀H%∩j∀h'∪(T@(∩	4P#QiTH'Si∧@$PhT⊂≡Q(∀_$∪λd "Q($(#⊃λt0#⊃λ40&⊃)∧(#Qid@#∩($`&Ri$_$T	4h(∪I4`&R*4H$∪(D8&∩	u$∪*∧X'∩iU%∩)dx$Qi4h&∪*∧p%∩Ie'∩Idh(∃*U⊂,Tj% (∀k%_*U	Th*T*¬)TJu +W%0,∃*U_'∀)DP'S
%λ)∪)DP&SIT@$S)4`(SI$p'∪)∀H'S)∧(#⊃λ$("⊃I%80↔lε*∪)Dx'U*E_&S*5λ+∃	u8,↔kE_*SjU⊂)∃)Uλ(∪)uλ-S	u'∪	tp&S)DP)SI4`'∃*¬(-SJ¬_)∃K¬λ'∃
∃&∀j%λ(UJ%_)SI$P%∪Iu_%∩I∃⊂'∪i$X'Rh∀@%∩)DP$⊃hDX(∀jDp*T	¬ (Sj%_,∃j∃8'TJUλ,U
5(*∃JU(*∪Ie_+∀	¬λ%T	u⊂+∃
E8'SIUP'S	tp'T
Dp(Sj$X&T*D`'U*e_)∀j4x)∪Idx)∀%)Sj%λ)∩	¬⊂'∪J5%∪
∀`&TJ$p(∀*e0+∀	tP'∀I4P$S*t(!Q(DP&∃)u'∪*E0*∪ie_*T*%⊂'RI%_$∪	dx&Rλt8#R)$h$∩idp)∪λd (∪iDX(S
∧`(∀i∧0"R	$x"Rhth#RIT@"S(TP%∪*¬λ)Si∀@&Ri$X%R(t !⊃)∀0"P(D(!RJ$x&⊃j∧x'∪	$h%T	$8"Qj%)S)4H&∩	∀h&∪λd0"P)∀H$Qλt⊂#RiD0"RiT("RλD(!⊃(T8"Q(T@#R(tH#⊃i∀0$R(∧0%∩λT0#∩hTp'∩i∧`$∩)DX'⊗	t8'∩)Uλ(∪j4p(∀)e $∀*e⊂&S*%_,∀*Eλ'S*%_(TIu⊂&∪	5(∩*5(&T*u0)∃j5_&U
4`&TJuλ(T*e@,∀
e('∪ItX.Uj4H,U
5&∪
$x&RIDX'∩)∀X%∪	uH'⊗	d_"⊂hd0"QHE:∨-&⊂1TItP'∃*Dx'U*∃&∃
u(+⊗LeX)RI∧P&∪J5 )∪j5(,_Itx&∃k5(/∃i∧h&T)5 (∃)d@%SIth(∩I5_)∀Iu*TIdx*U)Uλ(∃jE8$Qi∃&RitX)∪IDp%∪
∃λ'RIu'∩Iu)∪IdX&∪j¬`-Vj¬0)SIe0*Uk%_)TJu(+↔K5H,∪*E_'∩j∧x%T	E)UJU_'∪*E_+∀*∀H(SjE@,∀
Eλ'Tj5_)UjE@+T	E⊂*∀JU⊂#Siu&∩Idx(T)Tx$∪)Tx'∪J¬(-∀It`'S*∀x'TJ∀X%∪	DP'∩iDλ#Ri4p*∩j∧h$∪i∀`'∩*∃ )SJ∧H'∀j∧X#Ri4h#S)$P%R	dp&SλTP&RI∧p%T)dH#S	e⊂(∩	∀($Uj∃ $SIdh#⊃	∀p$∀Itx'S
∧x%Rj∧X(∪λUλ(S	∀8%⊃Hd_"⊃(4λ$∩Ie(∩	¬%∪	dp%∩j4X$Sj∧8&R(th&∪	dP'∪)∧0!Pi∧⊂"P($⊂#⊃)∧0!Oh∧λ ∩λ4 $Ri∧H#PhT@%SλD_"⊃)∧X"⊂hD8%∩)∀0$Ri$@$Qieλ%QhT`(∃j¬%∪)tx)∃)dp$∪*D`&TiTX%PH$⊂'S)d`'T*%('Tλth*SIU_*∪)Tx+∀	e (SI$`&∀jDx*↔j5λ)∀	u -∪iu⊂(T*∧x&RλT`&Sj∧x&RidP#S)¬_&R)∧H"∪
V80T*40#⊂hSx!⊃hd (\m⊗0,SiDx&U	4P'TIEλ&U,W⊂6Z-&@0UHTH%S+$P#∪jv0+UJe⊂'V
Fλ.∃I$p'S*Dx*∪J∃((Siu_&∪)4X)V)U (∪K¬(*∃J58'∪iE((∪	∧X$∩i$X(∪I5λ#Q)4("U	th'∀J5'∩)U_(V+∃P.∃Ju()∃jE_*UK∧x(∃
EP-∪J5λ*UJe⊂(U*u8'∀*$`%SjU )∪)Dh$TJ$x)∃
50)∀*4p'S)eλ*∃JE'SiTp)∪ie(%Sj5λ%TJ5 (SHdP'∪ITp&∪)E'∃
5⊂)∀)$X'RJ4P%∪
dh$PgtH'∩)5'∪iuλ'∀)U_%∪)U⊂'SItX'∀	DP$SJ$p$QI%_'R	E(SλT8(∩hdH)U)e⊂&T
∀H'∩)DX$S	4h"T	∧P$R)DX%⊃i∀`&S	¬λ&∪J%8%S*∧x&SitP"PI∧`#QI$p&∪	Tp'∪	E'∪ITp)∀	e'TJtP'Pi∧P$R)$`%S	∧($∪h4 #∩λDλ!QHD ≡QλD"∂H4λ Oht0"Qλt8 PHDP"SλT_#RItp$∪	$8#S	DP#∩)∧`$∩HdH'∩I$8%∪	D`%∪j∧h'Sj∃H+∪(tP%SIE(∀
¬ )∀i∃⊂+Tj∃@)∩Iu_'TJ5(T)e_*∀j∃(∃
5_(W)Uλ$S
Eλ*T	5λ*∀It`(T)$@)Sj5⊂&SJ4x%∩iTx&SItP#∪
∃p@ZJt_≡PhD0%∪)T0$SUH*T	∀p(T	u (S)$p'∀*fX7≥N681∃I∧h#SIDp)U
v84WL%P*∀
fλ)SJ4`+⊃iE_(Ri∀x*∃J∀`*TJ5⊂(∀JU_)↔*e 'U*U(%S	∧h%∪)th#S
∃_*∪jU$R)∧0&∪*∧p)SJ∃_)∪Itx*∀%⊂+Uk%(,Tk¬@*∪JEP,∃K5H-∃j%H'∀JEλ(∀
dx'TjU⊂)TJeP'T
∧h$Tj∃_*∪I5'∩	e_'∀iTx(RJ∃λ+∃	Tp)∀*∃ '∪)∀p(SJ¬λ(SI$P(S)5&T	U_&T*4`&S)u*∃	TX'∀)∀(!⊃i4`%SjDh(TIUλ%∩J∧X%∩i∀@#R)E'∪JtP&S	Tp)Sit`#∩ITh%S)∧X&⊃iT8%∪
∧p%∪	$@%∪	4P$∪hT8$RhD8&∪I4`(∪(TP#RId0&∪J∀H&RHu⊂)∪)∀λ#QHt0∨R	Tx)∃
tx'T	E&S
∀H$Ri$H"R)dx&RITp%SiD@$∩)$0$∩j∧P$∩(TH%∩(#x≡P(βx!Ogsp∨Oh4⊂#R(tH ∂(tP&⊃	D`#⊂hDP(⊃i$`&∪	$_&SI5⊂&S	48'VJ∧`$∩I5λ&SJ∀X'∪i4`)T)Dh&∪J%%S*¬&∪)u(RiDP%∩J∧h'SiTh)T)%λ)∀j$h&RJU )∀J∃8)Tiuλ*∀J%_'T)T`'SItx'∀*$h(T*U0'∩i∀`'S	4 !S	507↑¬λ(∪
Uλ$∩)∀p%UMFP1UIdX&Si4x)∩ie⊂'S)uλ+→mF8,X5`*T
¬@-U
67XmWH1∃
V/S	Tx'T	tx)∪Iu0)U	∃ '∪iu(*∀J5λ*↔*EX)∃J∧ &∪i∃'∪jU$S	$`&Tλtp&∩hd@$Sidp*Tje⊂%∪JTp'U*∃(⊗
E'∪j∃(,∀J¬P+∃JEh,UJU (⊗
th+SJ%0,∀	dp*∃iu⊂)∀iuλ,U*uH*∃)Dp*RIu⊂.T
¬_(∪J4p$∩)D`'∪*¬λ%∀k¬⊂'S	dx&S(tH'⊃i$@&∩ItX%∀	uλ&SJ%λ'R)∧0(S(D(!R	∧@(∀)TP$Tj∀h'RI¬_)RiDx$QHdX'∩)∀@(TJ∀x(SIDP$∀)∀P'∪λtH QI∧H%Rj∧h'∪Id@"RI∀@"Sλt8%SJ∃&∩)∀H#∪iDX&Qi∧h'∪iDx(∪i4h%Si∀λ$∩(t@$⊃J%_*Ti4`%T*∧P&∩i∧`)∀(tp(RI∧h%⊃HTH%⊃I∧H$RHt0%R	$@$Ri4⊂∨P(d⊂"Pλ∧λ ⊂H∧0 ⊂πt@#Q(D(!⊂h∀H"QHt⊂ ∩λTH"Q(D@$∩id`&SID`&R	∀P'QI∧@%∪
$`%R	e'TiDP&Ui$`'S)dP'Rie⊂(∪	∀`&∩IDx(R)4@&R*u (SK∧x%Sλth'∀
e&∩j5⊂*∃*tp(∩je_(SJ∧h)∀*u_&∩i%⊂)∀)Th#∩(4X&∪IDx'∀IeH4ZMfp5ZMFp,T
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∃'∃*Eλ*∀K∀p&S
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∀`&S*¬_'U*∃_'T*%_(Tj¬P,∀jE +Uiu(∪JUλ(∃
u('∪j∀x'T*∧x)∀IUλ'∩j∃0(∪*∧x'∩j∀`)∀	∀x&∪)$P%⊃i$h&⊂heλ(SI4h)TJ$`(∪)4H$⊃)TP'R*∀x'SItX+∀j∧P&∀J∧P MFdX'∀itp&∩)$X'∀	TH&SJu⊂'∪)TX%SI∀P%∀j$p'Ri4X&SHd0$∩λd_"Q)∧@&∩)∀0%QI∧@&RI∀ $RHSh$∩IE*∪i4P'TItH%⊃λ4`$R*∧h&∀)∀p'UI4X$∀	%$R	$P(∩hdp)∃iD`&T
50%R)DX%S(e*∪i$X$∩Iuλ'∩i∧(#R)4@#Q(4("⊂H∧@$QλT⊂"∂Gs`≡PH#x∨⊂h4_!Pλ$_"Q($"⊂($0#⊃hdH$RiDX#∩i∃#⊃I∧`)S)∀H'∀)u&∩λdP%Si∀0$∪	Tx%∀	Tx&T)t`%Sj¬)⊗
4P%R	∧h&U
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e⊂&T)TX%∪J%)T	Dp'R)tp'∪	$h&∩ITX'S)∧ "RIdP$⊃i4H)R)u(∪id`%∀
U('TJ∃⊂&SIu(+T)uλ)UIth*UjEλ'∀K¬P&∀
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¬*∃
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U'UItx)SjU⊂)∀Itp&SK∧x%Ridh$∪it`&Rj$X'T	Dh&∩	%_'RJ∀p+∀
∀`(Sλd0$⊃HD8%⊃(t`%⊃Idx+Ri∃λ'SitP&∪IUλ&R(TX#SJ¬&∀J∧P%RHβh"∪*4X%∪*∃_'∪	5⊂$RJ∧h&∪)tX%∩)40"QItP%⊃iDx(∩j%⊂&SJd@&⊃IU⊂'R(d@$⊃)∀(#Q)4H#Qi∧x&∪	tp%Si$P&∀*∀`&∩I$`(RIdh%TID`$TI∀@'∪)T@%Sλ4 #∩)DX(∃+%8)T
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∧x'UjE *⊗)∃ .↔JU+∀K∃ )S*D@)UK5⊂+Sj4h)∀*∀p&∃J5λ)T	Dx'S	∀X'R	Dh$∪	Tx$∪+Ex5←/G@>$qG0;`nU@-X,&8:≡-F_9~N7H2≠0V0+∪Ie 1_k¬00X
v 3~.&H>$qx(5ZL600~,∃H.V	∀P%RiDh!QIU%Qj∃0&∩j¬(∃
∀h(∪IU'∪i4`'∪
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%λ(TJ∃'TjD8$TIdP%⊃J%⊂&∀)e⊂'TIu#∩I%λ$⊃(t@!⊂Hdλ#QGt⊂≡OGcX≥N'β8≥∂'CX≠∂(∀λ≡⊃	∧0 ⊂λ∧0#⊂I$ #Q(tH#Si48%Q)∧@%∩λdP&∪)48%Ri4H!∩IDP&∩Idp&Sid8&SI4X'SIEλ'∩	∧p(∃iD`'∩iTx&∩	TX%∪)Th)∀*¬ *∪J∃λ,∃)tp)∪iuλ)∀iTP(U
Dx&∃
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4p&Uj4P*U*Dp'TjE8,∃*EH'Tiuλ'TI∧p(∪Ie&∪*∀h%S	Eλ)S	$p&R	∧P(T	DP&SIt`'∩	$h&U	DX&R)T`'∪Htx(∩j%λ(RHtp(S*∧`#⊃)∀λ$∀	E_&Sj∧`&∩i∧0&∪	4h&S	Uλ#R)∧(#∩I$P&∩)TP$∩)TH'S	4H&Qi$`$∩I∧0"RI$@"Qλ∀⊂&∩J∧`$RI∀h'⊂ht %Qi¬λ&Sλth%∩)∀X(S	$`#R)dh%R)4x$∩($H!Q)T #PI∃(∀iT@(∪)5#RJ¬_'∪
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E_)U*UX+∀IdX%∪jdh$S*∧H'∩I∀8&⊃Ht0$Sλ$0∨OH4H(U+EX<←.'X> ⊂8λ@≤
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¬λ)U
E0*∀
5⊂+U*%λ)∪k∃0*U*eX(∀	Uλ+∃j∀h,∃IDp&SjDp-⊗ε⊂>f3{0Xny0bo6;h←o↔K@[mWK(U.∀j0J≤e⊂)SJ5)∀
u⊂*∀je_&QI∧`'T*%⊂(Rje0%RiDX)Tj$`'TIeλ-∃k5x,U	¬(.V
∃()∃*∃ *V5`+U*e(0W,¬ +T	Eλ(Sie_*∃*U0*U*e@(∀*e⊂*TJtpet~lXe3→\hc1→m⊂er→⊂a.x,_↑(n∧P"Q(d8%⊃(48&⊃λt($≤T;@U(t~_N#slY$q_0B←v⊂4_mH>∨.vp4_EH)∪
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E_)∩)Tp'∪htH"∩J¬⊂$∩J$p&∪(dP&∪*%(/U
$X&Sj¬(+∪)dx)∪j∧`)←W<Hg2YLXds9HesZ
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u(-Xl¬X1V
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∀p&T*∃λ(UIdx&U	4h+⊗
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e0'∀	e⊂f4yLhet:]@h3y≤@brX|0b/w⊂O≥	d !⊃hDP&∪λt@(S	∧@!R*∀X)\Qjλ←1↔{0Tn∃(XB%s)XD"∂GX?↔*∧H$R)Dx*∃k¬_%T
5+TJTx*∪iU(*∃
%%∪*∧`(SjDp'T∃(∃(th%T*5 '∩JE⊂&SJdX)∪)t`%S	u%∩Gu⊂)∃+¬0*∃*DX'∪idx)SiE_(∀J5 .`V|`↑p⊗+@`r8\8drx<0box,_`rWl0c0WjpUlU	03T)$8%Rj∃λ(∪*∀X)∃,VH,Sj¬('N(5P+∪j5@-WJEP.Wk%P)VJ∀@"Tk%h,V∃ .⊗
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∃ ,∃
e )S	Eλ+T
¬ 'UItp(∪	T`%Sj5λ'∀J5λ&SJ∀h'∪JUh+TjU0)T
¬⊂+⊗+∃P*V*EX,∃,∃(,∀K∃λ+∃
%_*↔jU)⊗Ju *U*u_'S
E )∃+¬@*∪JE@*∀*%((∀*tx+∪j∃λ(∃¬P*UJ5 *S
∀P%R*$@&∪J5⊂'∪+¬@(T	e⊂)UJ%H&S*tp*Tj5 (∪*E(*Siu )Sj% (U*e8-∃
¬(+⊗+U%UU@*∃*EH/⊗¬p/≠o↔_0V
u0*∀+%x/∃j58)T
U8(UJ%λ$T*∃(*∀	U lt9M irx|@arY\P`19c0w
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5 'S*u⊂+Tk∃ )∀
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∀`&∃
Dx'R)4`(TH∀P'Tk5 (∩iTx)∀)u *∀j¬_,↔
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5⊂(∀j4P'UJU(+∃
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∀H'∃*5@*Tju_(T
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¬λ*∀*5⊂)UK% (∃
u &U*∃@*Tj5_ltz≥⊂kq78cs_|Xbq→≤P`ir&P#QH4_"R	DP&∩i4H*S)D0&∩	∀_∨Q	$h(⊗lfX9`1(⊂7Y+∃@.ZM⊗_,Si40&∩λtP%∩ieλ)∪j∃⊂(TjU ,∪J¬_(∀	dp(Sj%@*Tje((S	Tp'∪)dX(∪j¬%SHd8$∩*∃λ(SiD@'∩(DX$QλT`'∃HD8%∪*¬*S)T0'∀ju(,U∃8(≥U≠Xer_L8cr8,⊂`/→<`b0x\⊂h2X≤8↑-W:@G~*∀P$R)tH'∀)Tx)T)DX&Tj5P*∃jU8-W+Uh/↔k∃@)UJeH+VkEp0T+¬8(T*5@-⊗e@,∃
EH.⊗
u8*Tj∀h,∀
¬(∪*∀h%Rht(&∪)dh(T
¬ 'SiDh$∩	D(%S	t`"∩
4`&∩iDX$∪I∀x#∩	Tx%T
¬0(∀jU⊂)∩*∃ *TIu⊂)S*∃⊂)∀)4H)∀
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U(&UjU &∩iu8-V%H)⊗∃8)∀jE⊂&UJE@*∪JE (U+∃⊂&∀+%8(U
uH,Tj¬X0V)Dp+W
E8*WKUh*U
%8+Wju@,∃*∧x)UK5λ'U
∃ )WJ¬@'TjU_,V
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4x(T*UH'SJ∧p+∩j∃(+U*U⊂)RiTx)∃)Tp*∀ItX&∪)E_%S
∃(S)∀`&S)TX&∂iEλ(SλtX&∪(eλ)S*Uλ(∪Iu⊂+T	e⊂']4KH]l6x←lW≠8[-V{ Z.6@[/W⊂Yj∪hH9T)∀`&∪it8#SiTX)Sj∃λ+∃
$h(T*∃(,V%8,⊗K∃p+UV0↔Ke0,⊗jE (∪)e@+Xm¬X,UJep*Wk¬8*Tje⊂)S*UP)TIuλ)∩i4X&TJDX&∪)4`'T*%#∪)4λ$S	∀H$⊃)∧8$⊃)Tp%SI4X'∪)Dh$SI4X&S)E_)SiDx'S)u(T
5_&T*%_(Tj4h)∪Iuλ*Tj%λ,TJU⊂*∀*dp*∪	4p(S
E⊂(∀
∃λ)∀jE 1↔jU('UkEh+V% *UK¬x-⊗j50+V∃ -∃*U@(⊗JE0,V
¬_)⊗K¬_*∃
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E(.U*E*Uju((TIt`%Uj%_*∃j5(,UjTx(T
4xks:,Xhrz≤8gsy≤pepwJHO↑Kd0!⊃λT $⊃	$H%∩hβp!P(∧λ$∀)dp≥gt0%Q(T $QIdX)RI∀@#∩i$h'∩($@"Pi4h%RIDx*∀i%0)TITp)T+¬0'U	40)∃	Tx(UJ4p&S)dP$TJ4p&Ri∧@(∪ID`"S	$p'∃*∀`&T*4p$⊃
5_)∩j∃ '∀Iu⊂'∩)u)∀*E8(∀itX%∃MWX@]nπ 9]n7@7\⊂λλ;↑NG(9\n↔4Z,%λ!R)∧H'∀)th(∪j¬(U*u⊂+U
EP)Uj∃(V*E0._+U`-Wv_._,∃p/UjTp+∀J% -VkE0-∃jeX.V*u0+∃j%8+Uje +T
E0)∪J∃ (∀idx(∩I4h)T)tX(∩I$0$∪I4@&∪(t@$S	tX(RIDp&∀J¬('∪I4H&T	Dh)∃*∧X'∪
∃λ&∀)4p&∀*∃ *⊗JU *⊗*%()UjU(&∪I∃+∀J∧h'∀)tp&∪)dp)∀*E⊂.Wex-V*u_'⊗kUH,U+5P+∃L¬H(∃+∃(*∪KU0+Uj¬λ)T¬(/V*5 +V∧x(WJ5((U*EX*∀*u0+∃JeX+∃*∃λ)T+% +∃
eH+T*U⊂)∀
E (UJ¬⊂'Uju(,W5P*⊗
5H-Vku()UJ50)∪JU((∀)E(+⊗K∃H+UK%H+⊗UX.↔k%X/_∃`*V
5X,↔+¬λ)UE`,⊗¬@*T*∧`'TjEλ,U*∃'∀jU&TITHh6:|hgsy=⊂itY|Pb0W:`FZ
$H#∩ID@"RI$ Ph#h∨Nhβh#RI4 "Ngd@"Q(dH#∩)∧H'∀)T@(S(T0%∩(T("PHSh#∩Hdp%∪)u 'T*¬⊂'∀Je_'∀JU%Siu(V
dx&∀J∃)T	Tp'∪	DP$R)Dp'Ri4`)∪*$h&SI4h&⊃iuλ&∀Idh$∪iDx%Tj∧h%∀	$p)V
U(∪j∧X&∀J∧H%SiT`&∩idh!R(tp%S)U)TλD("∪)4h#Ri$P(S*∀h*∀J∧x*∀
E ,∃j∃(,V)eX+↔UX.Wjvλ0_U@+∀J¬_0⊗juP+↔*u8-↔
e(/∀J5(*UkE(+∃¬H'∃%0(∃jE ,∪	dp$∩iu(*U	Eλ)∩)∃&S*∧P&∀	dp&∩)∧@*∩J%_%∩j5(T
Tp'Sj%'∃
∧x#S	T`'∃j%λ&∀je *SitX#S
¬_+∃	u(%∀J5_*⊗	u'TJe8)∪j58*V)u)∃kuX*UJu0,↔
e_(WK&λ,⊗K∃⊂+TJe_,Tj5P(⊗
eH+∀JE +U*%⊂'∪Je0,W*uH*∀IU8*⊗%P,V+%⊂.∀je⊂)U∃_)∀JE (∃Ie8+∀	dp*TiU0(⊗
U⊂&T)u`*∃jUλ(U*e (TJ¬P*∃
58'∪J¬⊂*U+5`*Uj%H)∃iU(+TK%0(V
5h/W¬X*∀+¬@-∀*%0-↔*5@)Tj∀p'TjEλ)SJdX%∀
∧@(∀*%0kt;-⊂j5z≥ks→,`d0VIhA↔J$X#R)tP&⊃i4P#P(D"⊃hT⊂!⊂ItP&∩I$P$Qλ$`#R)∀0%R)D@"Qi4p"QI∀X#QH$_"⊃)∀H'T*4x(U)tx(∪j∀x'Rju@'S*∃0+∃Iu&∩JUP%T
∃0)RJ∃&Qi$p$RI5λ(∃*E⊂)SIU"QjE_*TJ5 +∃jDx+∩)Tx&TItP(∀J∧h+∀
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E (∃j5⊂+⊗JE(+⊗K5⊂,↔U`0VjuX.W+E@'S*%0*V¬X,U*U(4_juX,⊗
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e`,⊗
e )TIeH*V
eH*Tj5H.X+U0*Uk∃0*U*%⊂*TjE-U*¬@+∃JU_(∃Je8'∃	T`$∪i∃&TJ¬ &∀
%_%∪jE(*T
u@(∀*e'∀jTp(T
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u⊂(∪J5_)∀*E⊂'∀K% +UE8)V
Eλ(⊗+∃8)∃
∃_.∃j5_*∃JeH-U)EP.TJE_(∀K∧x*∀*u⊂,V*∃)V
5@,T
¬λ*⊗k5 -UJ¬_)∃
U()TJ%0-∃K∃ ,V*UX+VJ∃@.∃K%x/~+e ,V
EH+V∃H+UjUλ*⊗+U8-∃50)∃¬0.Wk∃8/X¬@,⊗K¬ (∀j5(+Uj%P*V
%8.UjuP,W+∃0.∃JEP,TJD`itY|hd1↔ZXAX*$P&⊂I∧@%R	∧_!Ogcp Oh∧ ∨N'D_≥Oπ3x!∂fsH"Q)d@$QhTp%S	4`'∪	T@*∩J∧P#S	t !⊃λtx)∩	U"∪	4p$R	Dh'Ri$X&RJ$`&R	Dh)∩(TX&∀)∃(V∀p'RIeλ)S)u⊂%S
∃_)∪)U*∀iDp(Sj50-U
¬@'∪*%⊂*∪I4p'Tj$h$S	D($R)4P%∪λtX'Sh4x%∩	$X'∩)∀(#Q)4h#R	40"Q	∧0$Q	$8#∩i$(#R	∀ &∪	d@%∩λdx%Qj%⊂(V*U (TIu8*∀JE8'∀
E⊂'U	U )∀*5λ(UK∃ +∃
U_'U
∧x*∃+¬⊂+∀*∀x'S	%'∩J¬⊂'∩)dx(U
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¬_)Uj∀p'∃*∃λ*∀*5('Tj∀x&S)u⊂*SiU0'∃JU0)∀k∃⊂'Tj%'∀JE⊂*V∃H(U
$`*VJE⊂(∀je(*U*eP)Ujf+T+5X+U
¬ (UJtx,∀K¬(-⊗
¬(*∪JDx+U¬h,X+e8,UJ% +⊗L¬0*U
5 (T
∃ +∪j∃P-UkE`-U
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U8-W+Thc5_\⊂b/Vz8=∃)40$Rht`#S	40#∞h∀_"OGβp≤Oλ∀λ"⊂gcp ⊂'ch ⊂	∀p'Qj¬(∩)∧X'∀Ie@'Qhtx'⊃iT`&S)D`(S	e⊂'∪
u&T*∀`'∪ItX&R)4X&∪)4H(∩iD`$Sitx%Siu_)∀K¬⊂+∃∃λ'T
E(*∪j$x(SIDx)V
D`&∀	$8&∃J4H&TID`$⊃ITX&S	∧X&Ri∀P$S(t8&∪*∧p Qλt($QID( Pi∀0!⊃	∀P$∩H∀ $⊃)∧P Oh∀H%R(4H"⊃(tH"⊃H∀⊂"∪
∧h'S*$X'∪JD`'∩I$P%T*¬+Si∀p'T*$x*∀
5*⊗*e@'∪J∃8(∀j∧x&∪iT %Thuλ'∩iu_(∩jU ,∃*5%Ri$h)∀	e_%∩J4X$∪I4h&∀)E)∀J¬(6→+∃_(∀*¬ )∃JU⊂+T+∃X)∀iuλ'Sj¬_*U*E((⊃i∀h(∀j%0%T
∀h*∀λu⊂*TjE('S)d`)U
%(+∀	u⊂)∀
∃0(∪J5 )∃*¬0(VJTx&S*5X-↔¬0-↔+E(+⊗*5@)∃*¬0+⊗+%(*U*∃⊂)∃k50(S
∧h-↔∃0-⊗
50.⊗K∃H+V+¬H-UJeH*Vk%(*∀j%8+⊗K%h,U5`.↔KU8+UKU@,Uk⊗⊂-V
vλ.⊗k¬h*UjU0)U
E0-⊗
5X/Vk∃H-Wkf⊂-↔%8-↔⊗λ,_UP(∀+¬H*TIu()∪je0-Tj% )UJ%_+T¬Pcq↔{Xdsx
89∃	48$R)t`'∩id0#⊃gc ≥OHβ0~Oπc` ∂Gcx!∂gd!QI∧X&∪	TP'∀
∧(&∀
EX(∩iU)∪λdp&∩i40#∩IT`'U
∀x&∪j$X%RitX&∩	∧P%RidH%R
∀`(RiD@&∪	$h&T)uλ(∪Iu8'W
5⊂)∀
5)∪j50,∃
u'R	Th%S
Dh%∩j$x&R	∀h'⊃)48$∩)D`%RI$`%⊃hT #⊃i4_#⊃Hd8#Rλ4⊂#⊃H$0"P)∧@$∪λt@!Qλ∧@!Q)∧0!RHT0 QGd #RI$P$∪	d@%Ri$P%∪)40&∩htp$RI∀x'T*¬λ'T	Dh&T*eλ(S	%_)∪	4@$S)$H$⊃)∧8%Si∀8%∀	dH$∪J∀`&∀I4h,∀)4x)SIU(∪i4h'SIt@ ⊂IE 0XJtx+Uj%0(T
¬λ*U	∀X%Sj%⊂%Riu_*T)Tx)∪*∃⊂)T	Dp(S
%⊂*∀JU)∪jE %∩λtP(SJ¬ )U
∃(∀*U(∪j¬ ,∀*uP,∃iEλ*Rj∧x-UJ%()∪je0&Rie@)∀
eH-U*E_)∀
∃P*V*u()T+%h+∀*∃@*TJu@(∪
tp(∀
Eλ*U	Tp(U
%λ(∀k%8&∪*e@+U*¬*W*uH/Wk∃(-⊗Kv⊂1WJUh+⊗*uh,W%H(∪+∃λ'UJEH,∃k∃`1→lU8,∀k%X-↔+v⊂.W+∃p,T*U@-Uje⊂+UJU⊂*TJ∃λ+∃KDx+∃jTpds8[har↔)X3Ri$P&∪i4H%T*∧p#PGS8≥⊂i$h$QλCx∨Oπt⊂∨⊂h4 !Qi4p(∀
4`%R)5 )∀
∃λ%Sju⊂&U	T`$RJ∀x)∪j%('S¬⊂$SIdh&S	∀H'⊃h4X&∪)¬λ(Sj∧p$∀I∧P(∪J∃λ)∀i4p'S)$x&U	Uλ&∀Iu(-∀Ieλ(∪iuλ'SJ¬)∀Ju (∀ieλ&∩idX$QItX'∪)$X&T	U&∩htP$QHd#QHtP#∪λd8&⊃htH&⊂HT⊂#Rht("⊃i4P PiD0$Sλd⊂"⊃i∀0&RI$x'Si∧8&S	T@%∩j5λ&Ri∧`%QIDX'Tj∧P&∃	T`$∩)$X$RiDP)∀ItH)∀	$x(∩hT8$∩ITx&∀itx%Ri4x(∀
e_+UJ¬&∩IDh%RJ∧@&SI∧($RJ¬(∀IU(∃*U0%U
e(∪I∀x!∪iUH+U
¬'Ridx(TJE((U
U(*∃
%*RJ∃_'T*5(TJ5_%TITh*UJ%)T
¬_)∃	%λ'S*∧X(QiU8+∪J∃⊂'Tj∃('T*¬(+∃	Uλ)U+∃@,Tiu()∃
∃λ,∃K58,TJTp'TJ%0'∀*%8)TJ∃λ(∪
$X*∪iD`'UJ%&Rj∃((∩*DH$∪	U((Sk∃`*∃k¬0*VjE0,Vk5`,∃
¬⊂+UjE@)Sk¬0(V*e(,VJUH*VKUp*∀jE0*VJEh*UK%(*Vj58,V∃@)UJ5(,Tju@+⊗kU_,∃*EXb2_\8eruλ⊂2∀it8&S(tp'∀J∧P!OFC`≥Oh4p&RID8!Ph4`"⊃I∧(!∩(eλ'∪j∀x'TJ%λ,∀jeP)U	Dh'∩id@&T)u8*∀IU'∀*4x'∩i∀P$⊃)∀X(∩iU'∪)$H(∪)Eλ&SId`'Sj∃(U*∃⊂)∪)tp%Rj∧x'∀*¬λ*∀
¬λ)T	U((T)dX'Sj¬ +∪ie((SJ5P'T
∃⊂'∪
5#Ri$@%Ri4h$⊃(4@#S	d "⊃hT8$S	d8$⊃	$8#∪	∀(#⊃H4X!R)Dh%R)DP!QI4@'∩ht@#Qj∀H%Rj∀h)∩
%_(∩j$p(∩	∃(∀Iuλ'T	u()R)∀P#∪Ht`)∀ie*∪)E%T)dH&∪i$X%∩
¬⊂%S
% %S
∀X(T)D8'∪(dH(S*∃(Si∧P)S)E &∪)4H"RJ¬$T	T_&SJ∀p*∀ie⊂'∀
Dx'Rj∧x&∀J∃ )∀
$p(∀*5+∩J¬λ(T
Dh*⊗*$x'T
U8*⊗*e )VJ∃_(⊗I5λ(T)TH'TJe_)∀)tx'Tj∧x.V*%,∀
∃8+↔
5(,∃%_)TJu0+TJ¬-∃K¬X*∃	u_'∃*∃λ'Uit`&∩K¬λ'∩j%_*∀J5⊂*S*%⊂*∀J5'T	tX(∀∃h)∪k∃8)∃5_*UJe0'QiuP,V
U⊂)SJ∃)∀*e+∃
5(+↔
e *∪kE_'∀*∃`.∃K∃8(∃*E()SJU (∃+∃P-UJ%_'UJUλ(∪i4x`rY≤@a,qV '∪*∧x(∀	d@#∩I∀h%Ph$@!Qi$@%∩h4P&∪)dx$RI$ !RiT`)∃jE⊂'RJ58)∀iDh)∃iu0,∪ieλ(Tj4P%RH4x(∪J∧h%∪Iu%∀iDH$∩id`#R	$h)T)$h'S)TX#R
5λ(∀j¬('Tj∃_(Uj∧x'∪K¬8(U
%⊂)∀	E⊂(∀*u@+∪j¬⊂,∃	5λ*Sie%∪Je8*Tie)∃	Tp#Pi$0#∪Idx#S)th&QHt@"RI$@%∩I∧`&⊃i$0!QhtP%QiEλ'R(T_$S)4H%Sλt`'∪iDh"S	T`(S*∀p&∩)Dp%∀)4X$R	∧P'∀j¬λ'∪)e&∀	T`&∩	5*∪idp(∪iUλ%∪)DH&⊃i∀x)Rid@&S
∀p(TItp)V	th+∪)Tp'∩)e'∪IE +∀j∃_'S)$p&∀)Dp'∀	u'∪*∧h#Ri∧h%R)tx&SI∃λ'Si4x'∀
%((∃J∃`,∀Iu(+W
∃*U
t`*∃
u +V*eλ)∩j5X'∪idx'U	Dp(U
∃⊂,∃
¬(TJU_)∀kUP/⊗J50,VJ∀`$U
uX,⊗j5(.∪)5_&Qj%0.↔¬0)U+¬λ(RjU +Sid`(∃
∧h)∀J5λ0∃*U (∃
eP+∀JDP,⊗
U@,↔5_+∃JuH(Tk¬@,∪jE0'Sj58-∃jEH)∃K5H(V
5λ*∃jU -UjU(VDp+UIu_)∃
e(+U)eλ,∃K∃(.U4x(∀j∃ i2y≠X`'
uλ#∩)T8#⊃ItP&Sid@#⊃HTλ"Qj$`&QhD0%Ridh$TIU)∪i$H&∃*eX)S)4h(S)D`+S)5⊂)T)tx'∀)DP&S)Tp&∪JE('S)Tp&T	Dx%SitH$Rj∧x(∀
U*∀
¬_'∩	e(+U	tH'UJE )TJU(,S)e_+∀*∃()UJ$p(R	u@'T*∧p&RJ∧h$RjTX(Uj4p'Rj5_&∩	tx%∩jE⊂*∃*∀`%∩	dP'RI$0'∩i$8#R	Dx&RJ∀8!⊃Hd(&∪Hd@$QhtP%∪iE_%∪j4h%Rj%λ#∩λt`%∀
∧p(SI∀h&∀J∧P%∩hT $∩I$X%S)T`'S
∧h)RI∧(%∀	d`$Qhth'∩)d`$Rj∃_#R	DP&T)tx&∪	Dp&S	Dp(∩)uλ(T*%'∪)U0'R	5λ)∪Idp&∀
E@+SiE_'SItx(⊗	dP)∪*Eλ%Tj$h&S)$`&T	Uλ'UIu8*∀j%(+∀*E()U*E*⊗*e⊂(∪j∃H)U)5(RjE⊂+∃*E)V
Dx'W+%(,Tie(+∀Ju_)Rj∃ ,V*th*TJ%λ&V
5⊂)∃J5_'TjU_+UJ∃0.⊗*e(*U
¬⊂'TJ5h+⊗
∀`$TK¬()⊃ieP-U*$p*⊗k4x(UjEX*∀juX1⊗E`,Rj5`-UJ$p'Uje )Uj¬⊂)T*e_+V
¬((∃
E0+∀¬0*Vk%0*V¬@.U*∃H.U
eH-∀kEP)V*5λ+∃J%Z0↔*8G]
DH%∩λT0#Rit8!Si∧X#Ph∧0$S	∧8#∩J∧`(∪	E_'∩Ht((∩iDx'SJuλ&S)4p'T
5(*∀j%(+∀J∀h*T
5)⊃i4H&∀Itp(S)∀`(U)Uλ(∀*∧p)SI5 %TJe8'∀)Dh(∪ju((T*∧h%T)U(*∪J∃&TJU_+∀*E &SHd(%∪itp%T*∀p%Rj4`)Sie_*∀j∃λ*∃J%(*∀
UH(∪jE'S	TH$∩)U%RIu8&∀)DP$S)$h&S*∧`#⊃(t0#⊃)d "R	5(∩i∀8$TiDh'∀HdH'∀	∃⊂'TIU_(SITp*∩I∃λ%RλT8&T*5λ'∪	$H&Ri∀X#⊃I4h$RJ4`%RI4h"⊂hT@#∩)$@&RIT@#RI4`%R)$(#Q)∀P$⊃hd@"Qλd@#∩I∧`%RhdX+∩iE(Sj%⊂'∪Idh&S)4P%SJ∧H%S
$p(S)tx'SI58(Tj¬8(TJ∧x)∀)e)Tj¬*VjU)∀j%`)T*∃)T
U(%S*U_*U*¬@)U+∃H,⊗*∀x)∃E8(∪j%λ'∀J∃⊂*U*%0*∀
e@,T	u0,Uj∃P+UK$p%S
e8(∀*%,∃
¬((Tj∃0-YuH*U
5@+⊗+5x+U
e0*↔KuX/⊗J%*TjE0(∃k%_+V¬P/UK5H,⊗∃_*∀IEλ+∃k∃h,⊗+¬P)∪j5(-↔*%X.T)U .W∧h+∃*e@*∀JuH+∀JE(*∀je+U	E8←qUI⊂7∃j∧0'⊃i∀ #⊃ht_#R	∧8%P'd⊂#R)$X&S)dP&∩
∀x'∪	∧P$⊃iuH)T*dh'∀J∧X'∪	∀h&∪	u .T*¬0*SIdx'∪	TP&∀J∃'∪*¬λ&∪J4p'∪iTh&TJ%(&T	u⊂'Ti∀0&Rj50(T*∧h(TJ5 ,∃+∃_*UkEH+U
¬0'⊃hdp'∀
∀p&U
u &∪	Uλ)Sj∃0*∃*E⊂-∪j∃⊂'UJdx'∀JE⊂*∀
∀P$S
$@$S)u_&∃J$h%∪	T(&∪)d`%⊃)∧`'∩λT(#Q)th)∪J∧h%Q*∃λ(∪hT8(∀J%)T)eλ)∪jdp*SJ∀h"Qi∀X'S*∧h&RhdX&RλTx%RHt &∩λ∧(%∀	$H*Rλ∀H#QI∀P#∩hd(#⊃)$`"Pi∧ !∩(d8$⊃λT@#RHD_"⊃i48$∪	∀P'∩	Dx%∪*$P$RhTH'∪I∀`'⊃I$X%∪iDP-∪itx(∩J%_'∪j¬+∃k5(&∀
∃ &∪	th%T*%X+∀
5_,U)eλ(∪j4X'∪j∀`(⊗
U()⊗+58.⊗*Th&∃juP)U*∃_(T*u⊂(∪*E@*RjV,∪j∃h/∃Ju@-↔4p&∪
∀h'∀)4x+∃j%0(TJE_(∃je ,∃JUP(U
E_)UJU@*_+U@-W+∃8,UJ5⊂)T
EP-∀jTp+∃%X1∃*U⊂*∃
¬@/∃kex+⊗E0(TJ∃_)UIu@2∀*%8+⊗*dp+∃+¬_)T
∀x&S*EX,Tk∃)RItx[*rfH-S)D⊂"⊃)U'∩ht8#Qλ40%∩Idh#P(D0$S	$@%⊃iE &SI∀ "R	$h&T
5(SJ¬+Tj¬λ&RIu()∪*5_*SIe0'∪
∃ (Tj∃⊂)V¬8+⊗*Tp)Rj¬ %∩+¬ (R	U⊂(Tj4()∃J¬P'TIu_&TJeλ(∃
E_(∀∃P(Tj∃((⊃i%⊂)UITX'∪)e⊂)TjDh'∩K¬P,∪*e0,∀Iu(U*e0(∃J%`+Siu(*Ri4@'∀)t`#S
¬_%T*∧X&∪Ie_'S*∧X#Ri∧H(∪
TP%U*Tp'∀J$h%S	4x'TIth%⊃I5_'∪)Dp'∀)Th#⊃	5λ(∪(dH(R)∀8&T	U_+RidX!S(t8%S	4`'Rhtx"Q)∧⊂#∩I$H!Q(dX#Sλd⊂!PπdH#∩I∧0%∩	¬λ&QhT("Qi∀H%⊃iTH%⊃h∀H#∩iTX%∩I∧H%⊂	¬λ'T
∧x%Ri∃(∀
∀h'UidX'∩J¬_*∀¬@)S)T($Ujdx+∀id`(R	u+∃	4p,∃∃H+∀
%(*Tj5h,TjE_(Tj∃λ)T
tX'∀)E&∩	U(*Tk¬_+∀J5X(U∀x'∃JU)∀it`&QJ∃⊂%Si∧`&S*%'TJ¬⊂+U*E 'Siu_)T
¬λ)UKEP,↔kU )U*%8-↔+E0*∀5H(U
U-⊗	uh+U
¬&∃j∧`(∀j5λ(∀J%()U
%@0⊗
5(+∀Ie⊂(U*U0+∃*%_*∀jE(-∀*∃((∃
4PMc∂¬x'∀HD0&∩Id@%RI$P"QhTh#⊃I4H'∩I∧P&∩Hd@%∪I∀0%⊃HCx!⊃j¬ *WKU (Sj¬,T*¬_&T
¬,∀juλ&∀Id`$∪+¬λ'∀J4x'S
∃P,T)4h$Rj∃ (∪*58&V+¬@(U
U_*∃
¬⊂)∃*U((SJe_)Uj∀x(U*∧x'U)tx)TjUλ'T	%_(∀)4P'∃
u_'⊃hu⊂)∀	U⊂*⊗*∃_&∃Jdh&S)Th&∀idx'S	TH$Sj∧P#SI∧0$Rieλ(∀	$@(T*$x%∀*∃0&∀)dh*∀jU_)∃	uλ'R*∃h(S	TP)∪j¬λ)Sj% (R*%_)T*5_'Rie((S	D0#∪)e()∪HdP&∩i∀P%∪i∧8$S)48!Q	$P#Q(d0$∩	∧@"∩(Cx$⊃(4 "Pht_ QH∧⊂ QId@%R(D0%∩HdP&Ri4P#Q)D(!Ri$H&∪HT8'∪	Tp'∩iDh)RiTp'∀)dX&T*50+UJU_)∪	$@&∀*5_)∪j5⊂(∃
u(%T*∃ *T*5_,∀k∃ *∀j¬0)Tj$x)T+¬0(∀)tx+⊗I4`'Ti$x+∀iDx*∃¬_)VIeλ'∃
∃`*⊗*∃_,∃J%⊂&T)u⊂,∃	dx)S	4H(∀
e&∩	tp%S
e⊂(Sju0'S*u0/Tj5⊂*V¬⊂)TKf-⊗U8-⊗KE8)TJ5(∃∃)∀jUλ*∀
$h*∀JE@,∃jTp(∀Je)Sj$p&∀
$x%T	u@*∃JE('U*∧h7Wi48$Si∀P&T	dH$R	$X%R	d0 ⊂id`&⊃(DX!SHT $∪i$λ#QGSh ⊂J∀x)∪
e (∀Iu'V
∃'Rk58&S)T`&S)dp'∪jUH)∀JUλ+UJ¬⊂(∪)E8'∩	$P+∩i50(∩j∃λ'SIu(Uj5&TJE )TJ4p(VK∀x*U+¬⊂(∃+5H*∪j∧x+∀iEλ)∪)DX(∪*U %∪	u@)∃
¬⊂-∀j¬)∪je()TiDH&U*∃$S)U(∃)e)∪	Dx'S	TH)∀)U*∩IDh&∀	5_+∀*¬⊂)SJ∧`(T
u $SJ%λ&T
¬λ*∪iu⊂)Uj∃0*↔
E_+UJU((T	%)Si∀X&∪j¬λ%RIU⊂(S	Dp%∩idx(∪λt8#⊂i∀0#Qi∧H!QI$8#⊃($0$∩(d0$∩I∀`!∩λD "Qπt_!⊂	$@$QHt  ⊂($8"RI∧0"⊂($0!∩(DX%⊃HD(%Ri4`&∩iTp*T*Dx'U*$p*∀*E@)SJ50'∀
e⊂)T*∃λ*∀*∃λ&T*Eλ*Tjeλ+∪ie_)∀
$x*Uj∃⊂+∃Iu_+∀jdh)∪J%λ+U
u⊂+⊗it`)⊗J%λ,∃*e⊂)U
Dx(∃K%H(T
E⊂(Uj5'T*E0)T*∧p+∀*%'∪ITx$S
U_)V
u_(SJ∃&T	Dp)∃+5⊂(V
uX+Uk∃⊂+V∃P(T*UP-∃J50*∀*Uλ*∀*∃H,U*E⊂'U*U⊂'⊗K% *VU'∃
∃⊂'∃*5_)TjDX$∪J∧`/SId@#R)$X$⊃HtP'∩(tH#⊃)DP!∩)TP&Rj∧`$RhD8"S*$H%⊃'Cx"QI4`&∪%0(S
∧h'∪ie )∀*u)S)Tx&Siu_(∩	Th'T*∧`(∀Juλ+∪i$h#RiD8'∪J∃ *∪JE_*∪)E(∪)Dx(U*$p'∪
5H$T*%⊂'⊃IDx)∃*E8)S
∧`'∩i∧p)SjE⊂'SJe('TJ¬⊂'∪j%_(T	u*∀*uλ(UJ¬&Tj¬8*∀)TP%T*$`$S*¬⊂)TItX'TJE@(∪	∧h(∀∃ '∪Id`(SiU0)∪*E *∃J5 &T*5()∀
∃_*UkE )Uj%_+V
Tx*Vj∀x)Uj∃λ*∀jU_(∀*∀h$Rie$S
∧x(∪	4h'R*Tx%P'tX#QHt@&R(d@%⊃λd  ⊂(D_!P(tH#⊃Hd0$⊂(t($R)$λ!⊃HD⊂!⊂hD_!∂ht_#QhdP#Q(d '∪)$h&S	th(T)t`(SJ%λ*W∃⊂+T*∧x(∃
∃_(T
%P*∀j%()∀	Dx+TJTx(SI4`+UJ∧p'Vj%(VJ%0-∃Ie8(T
∃ *∃JE_)∀j¬@+UJ5⊂'TjU0*U	uλ*UkE8)∀
∃0-∃k¬⊂+T)e 'R)∧X(U
$x+∪j∧p%T	tp'R)e(&T*∧x(W
e_&∀
e_)Uk¬0+⊗U8*∃*u@+TK¬8+⊗50+⊗K¬P+U
%λ(VJ∃8,W
$h*∃jE8-V+∧x(U*$x(⊗je⊂(T*%_(∀Iu0(∪	dP$∪	TH&∪	D8#Rλdp&∩	∧X)SHD0&⊃h$⊂#Q)$ &∪)Tx"NGS`"⊃I40'∀ju8*T	dp&TJ∃ %T
∀@)∀
Eλ%∀iuλ'∀j∧P&SJ%⊂)∀	Tx&T
50&SJ$x'S	$P(S	4x'∃)∀@&S)d`*Tj∃λ%∪)U)∪ID`(T	e(Rj∧@%∪)t@(∃itp*S	∀h+∀j¬λ'TIE8*∪*¬((T
∃λ*UjE_'TJ∧p*∃Ie⊂'∀)d8&∩I¬λ)T)tp$∀jE%∪)TP%RiDx-∪	E#S)Tx&∀
e8+T)e'U*5 +S	uλ*∀)u⊂)Uj¬ ,∀k¬P)T	Tx-∃%⊂'∃j¬(*∀)u +∀∀p"⊂)∃⊂&∀J∀`&V*∃)SiE 'T)tH%∪)Dp%∩)dP(∩	$p%⊂hT #⊃	$X$RHd⊂ P(TX$∩	∧ $∩)4H"QI∀@!⊂HtP%∩(T8"QHt⊂"Qi∀H$∩Ie⊂'U
%⊂)Ti4`'SIe@'↔+∧`'∪j%λ'∪J∃((TJ∃ )SJ∃0'T*dx'∀*∀X%Uk¬⊂(∀*U@(∪
∃'TIe⊂(S	dP(V*5λ)∀J¬(+U+Dx+⊗*4x)TIe⊂*⊗*E8,∀	4p*V*5λ+V*% -∀J∃λ)∀*dp)∀K¬ +∃)U⊂'S
∧x'∀JE (T*∃h,V
∃@+∃*dx&⊃
eP,Tj∀`(∀+¬(/V
eH+Vk¬P+W+%_*↔5H)UJE8)TJ5 -U*E@)∀
U⊂)UJ∃8&U
5 *TiD`$SHd0!QIDh$T	48"Q	4x'∩λDP$R)4P$∪	T8(∩(T #∩	∃%∂ε∪P∨O($(!Pi∧p(∀jE%T*U(+∪IU((∪	dp(TJDX%∃¬ (∃
∀h(∃ke &∪j∧`'∪	dH&QI$p&∩)TP&∪ITX%U)tX%⊃i∧h&∀Iuλ*∪juλ%RI4`$∩)e('∪*¬λ*∀iTx(Ri$X'∀J∃_(∩j5⊂(Rj¬_*Siu)TJDx%Rj∀X'∪)e⊂(Siuλ(∪	Uλ'∀	t@'TJ∀x'SHdH"Rie⊂)∩jU`,U+∃⊂(∪*∃&∀
∃(∃J$`)UJ%λ*∃JuP+∩iU@*T)u⊂(TJe_+∪)U⊂-∃j$x.∃J¬0,∃k%@'UIEλ)S*∧x)V+58'∩
%8'∀*∀P%S)T@$SiT`&∪)$⊂!PGt⊂ Q)∀0$∩	E"RλtP$⊃(dλ!Q(t #R(d8#R	$H"Rλt0$⊃	∧H&∩*¬λ&S
∀h(T)th)SIu0)U*U&S)e_)UJTx(TJUλ)∩ie@+S*5_(SJe &Riu⊂*TjU⊂(∀
U_&∪)Dx&Uje (TIDh(∃J∀p(∀*5()∃K¬_)∃JDx(∀*∧h*UJ¬0+UjeH&TJU)∀J¬8+∀JU⊂*∪itx+∀
%`*TJ5(,⊗jU((Sj$p*∀j∃_)VEX-U*U⊂(∀
¬ /Vk¬(,∃*E@,∃k58,↔+%P+∀jE8+W+e8.⊗jE⊂'Sj∃()Y¬P,⊗+∃⊂(∪j%⊂'S	tp'T*¬_(∪J4P ⊂)∀P%∪	DX'S)$8&∪)Dh&R(DP'∩	∧λ"⊂i$0!⊃H$⊂"N¬c(∨∂H∧H(∀)t`&RjU0,∀	tx*U*U⊂+∪J∃)TjTx(S*%_,Tj$`)∃*∀p'∃
E_(U	t@$RI∀P"R	T0"⊃ie0%SI∀p&RIDp"∩	%(∀Jtx&∩)t8'T)E'SIe⊂(∀j58)Sj%λ(TJU0)TJU8)T
Eλ&Rj¬)∩)Tp(SIEλ+∪idh)V*∀H$S	∀P(∪)Tx(∪j∀x)RI∧`)∩iTh)Tj$p$QJUλ)∪J%_'Sj¬()∃j% +∀Ku@'SJeλ&T
e_+∃
e_,VJ%_+↔J%λ)∀*U +UJ5p-Vj5λ,∃*EX+Uk5()∃*eλ+Ujtp)U*%λ*∃)∧8%T	e⊂#Q)$p"∩λt@%Sλ$ $⊃hT8#∩iTp#⊂λt0%S(Sx%∪i∀H&⊃λtX$R	$@$∩ItX&∪*5_(∪J∃_%∪JTp(TIU*⊗∃_(⊗4x'∀
%`#SJ¬λ)TiU*∀J5(∃Iu⊂'∀*U)∃
∃λ*Tk5P+Tju@,T
%⊂'T
u8,TIu@.⊗JU_)U
∃⊂)⊗
5λ*∃+∃_,∀kE@'∃k¬λ,UK¬@'T
5()∪	e⊂&∃*E ,U)e_+∀j∃ (∃)5λ*U
¬ *∀J∀p+∃J%(,∀k¬0*∀je(,W∃X.∃k¬(*⊗J∃_-WEP-∃j∃⊂(∃Ju@-V*∃@+UJ%_*∀
U,V
∃(+U*∃0(S*u`(∃ju_(∩*E⊂#PI∧p'∩(TX&∩*$`(∩Hu_'S	DP'∩iT8#∩)d8!⊃(t`!∂gβH≥PHd(%R	u_(∃
u@(TIt`$T*5⊂*T)Th,∀JE(&Rj% (T)Uλ)↔*∃⊂(∪)4X&∩)$p'SiDx#∪)$H'∩)dH%Rj5_)∩j∀`$∪idx&T)4`'Sj∧p)∃
%H*∃*5(UJe8.⊗jU &Rie *∀+∃λ(∀
58*∪)¬λ&∩j∀h%∩i∧p)∪)e8)∪)t`%∪J∧8(∩IDx*∃)d`'∩	u*∪ITH'T	Dp&SIu('∪j∃0)⊗*∀h'TJeX)Tk5@'Tj4p*V
¬0-⊗
UX+∪I$h)⊗K%0+∃KTx-∃+∃0-U*u@.UK¬X,∀¬λ&∃
5λ)V*dh'T	e⊂*∃jD`'TjD`$⊃I∧X%∀iTX$S	%⊂&S	$`$R)DX$Qi∀X(∩I∀0%∩λt#R)Dp$Ri∧0%SITP'T)u_)∀
50'U
E(.∃)5&∀+∃'∀	t`'∃*∀h&T*$p(Ri5_)T
E@)T
∃P)SiU,V	U.V*¬0,∃
U⊂)U+$p*∃J50+∀j%h*∀*5'UJu⊂)V*uλ*VE0*∃*5_'V*%*∃
%'UItx&∃j5⊂(∀K¬0(∀*E(TJ¬⊂'∪Iu)T)e)∃*U⊂*∀j5(,V
U (∃K%⊂+∀kEH*∃k∃H0⊗j%⊂-↔¬`*VV⊂-∃k5(.V¬X*∃jD`(∃
EH-Uk∃@-VJ5@-⊗+¬H+T*u0)∃*% 'S)∀p$⊃I∀p#R)¬λ#∪	e(∩i∧@"S	4X"∩(4@∨QiDH%⊂H3p∨Pλeλ(Sid@#∪)Dx%T	dh(T*Dp*T)Uλ*SITx'R	U(&∪*∧H%Tidh(T*¬ 'T)uλ(∪iD`'∪	∃λ*∩iTx'∩J5λ)TiDp&∪J∃$∩	∀P%T	Dh(∀k¬_+U
∃⊂*TJ5 .∀jE('Rj%)TjE(-∃J¬λ*S)%⊂&T
∧h$R*∃0'SItx(R	$h&∪	∧h)TIT`$T
dX#∩
∃(*∪I4H%Ridp*RI4X$∩i5_)S	e'U
¬(∪jTx(U*E +↔
¬⊂(∀*∃0)U*U8*∃*5⊂)∀+%⊂'U*∀`)V*E0,↔+¬8-∃
dx*V
%)∀)uλ'∪	e*Tj$p'T
5λ%∃
Tx'∩idX%∩	4h%RID "⊃Gt0"∩I$P"⊂H4 $S	∧0"RλT8$R)T@#SI$(%∪	4x&U
dx(SiTp,UJ∀h)T
¬+VJ$p&∀
Th)TIDH%Tj∃⊂)∃iUλ(T*Uλ)T)tX*U
∀p(TIuλ(∪*∧p*TJu⊂*VK∃@-∀jUx)S
%⊂'∪jDh(TJ5(+TjE()U*U *∃)e⊂*∀k∃8/⊗
u8+⊗
UX.⊗*∃0)∃	E$TJ$x&UJ%@)∪*Dp(∪)th.T
%@)∃kF-⊗JU()∀J5_,⊗
e8*Uk%X-∪j∃P)TJeP-↔l5X*VK¬@-⊗
5 )Vke8-↔kE((∪j% )Uk%0&VJU8*∀
∃_)SiT`$RI∀H%QI$h&∩id`%RiD('∃	48%QhD_#⊃)∧("OH∧_ O)∀($∩λtP&S)U&∪
∃_)T)u⊂)∪I∀X&∪I%'RJ¬⊂(SJ∃H)∪*4p)T*DX&U*¬@'S*4x(∃	Tx'∀ID`'∩IE)∀Itp%T	tp)T)Tx'Rj∀x*TJU +T+∃8(T*E8'TK∧x*RiTx(∪
∧h(S	∃⊂(∪)DX)U)Tp'Sie⊂'∩J∀H(U*4h)∩
∀x&∩(tX%∃	$X(∀
∃⊂'∩iuλ&∀	5λ'⊃he0'∀It`'∃)e0*TJ∃_(Ridx'Uj5H*U
∃_(Uj%⊂,VK%H'∪*5 -U*U)∃)t`&∀*e8*VkEH*Tk¬h+⊗U8+∃j50,∀	e_*∪JU_)∃
%()U*∀x(∪	TP#Qi4p(∪I48(RJ4X$Si4@#∩H$0%Q	∀(∨∩i$8#Qλ48%⊃I∧P%∩IdH$RI$H&∪iU*TjU(,S*5P'∪je⊂$R)tp%∪idx'∃*E(U	tX'∃*∃⊂*∀*5(V*%@,UJU (∃
d`$SJ∧x*S)U()∀*u &∀jE@*T*∧X'T*∧p'U
∃λ(T*4x(Uj∃+V∃@,∃j%0)∀*Dx+T	u8-V
¬0*⊗
e_)T+∃H-⊗
u@(T*%0+T
e_)∪IuH-SJ∃⊂*∃JuH*VJE8-⊗∧x+⊗k¬ -V*e0-Tk¬P)W∃8*SiEλ+∀j%⊂*∀*% )UjEP+∀IU⊂*UJ∃⊂&∪
5(∀)Dh&T
% &R)%$T*¬&S	$`$∪iDH'⊃hd@"Qλ∀($Qλ∀P#RIT`%Q)∧@(T	∧X"TITx)R)%⊂'∀)dp&∀j∧`&∀	4x'∪	%P,∀	d`'∪J¬(∪I5@*∪je@*V
eλ$TJtx'∪IU )∀IDX&∀)tp)∪iDP(∀iDP'U*Eλ$T	4x'∀j∧p(T*DP'SJ%_*U	Eλ&T
Dh*Sj∃λ-∃JE&U	e*∃*5λ&∀)U '∩j%%∪J∃&∀*%⊂(∪
¬H(Tiu 'SJ∃_+T)dx$RITh'Sj∃0'TJ% ,∀iu⊂*V
∃8)T*∃ *∪ie()∀*∃_)U*4x)TK¬h,U*Dx&Tj%(+∃*eH-∃j¬⊂.∀K∃ *∃J∀h(U*E0+V
%⊂(TIt8%∩iE⊂)SItX'∪iTP$∩ItH%⊃HdX#R(t@%ShT@"⊂λTH%∪	tX%PGd_$⊃ID`%QhdH&∪)$(%∪	tX+T)t('∪jE_(⊗*Dx'∪	dx%∩)tx)⊗
Dp)TIUλ'V)tH*∃
U@+∃KE'T*% &T*U⊂&∪jU@)Sj%8(R*¬λ(T*U⊂'SJ∃λ'∩j¬((∀
%0+∪	5λ*Sj%()UJ¬H,∃K∃`)∃J%⊂)⊗*E8'V+∃@)U	tp*Tk∃0)∀
∧x*V
U'U+¬λ&Qj∀x(T+¬_(T*5⊂*UjEH0↔*∧P)Vju`,U+%((TIu_*∃Jfλ,Tj∀X+V
e ,WUh)U
¬ (T*¬ (U)Th%R)D`'Rid@%Sj¬λ$∪J$x#⊃i$X'RI∃%Ti4`&∩i∧@"RI∀_%R(∀ "∪)$x&⊃I∀@(∪)d8&T	$H$Pi%&SIDH'∃jU⊂&∪jTp%R)4`'S)dH*∀Je((∀iEλ'∩)U0/∪jUP(RjU⊂'S
∀x&∀itx'∀)Dh'∀	Dh'SJ%(∀ie@&TJE_+∀*∀`+SIu⊂'S*%_&Sidx(∪j¬ +∀	u⊂(TJ∀h(Tj5 *∃
%_(∀
e_(∪*∀`%∪Jeλ)∀)Tp'∩j%⊂(∀	Dx&∪	E0'T*¬&Sj$h&∪
¬_)∀iU0+⊗*%@(∃
EH&U
¬_'Tj%8*∪j%0+T*¬⊂,Uj4x(V
e *U*uH.∃*e8+∃+¬_-∃
U (∀*¬*TJu8'Uj%⊂)∀je(∪iu*∀*¬)SiTH%∩i4H$RITH$SIU⊂&∩	∧P#⊃I∧X*∪j4p#⊃(D &∪	∀8%∪λdP&∩λ$@%SJ∧p'U*∧x(∪iuλ*UK¬('TjE⊂&∩j∧X'∀
∧p)∀j5@)TJ5⊂-∪j∃⊂,∀J∃_+T
e_&T
U '∪)u((T)u⊂(∪IEH)S)e0+SJE (∪JEλ(⊗*¬_'∩jE)⊗
Th&U
e (WUh'U
e0*TjE@)V¬@)U	Dh,∀iEλ(∩j5_(∃Ieλ'∀j%λ(T
UX+∃
U8'Sj∃⊂(∃
%(-⊗+¬0)∃kE_(U*%8)Uje_.⊗kUH+TItp*Uk∃8-W+%H,∃)u0(T*Dx&W*d`"Q*∧P$∩	TP&∪)tP(∪j∀p%S	Dh&R)$h'Sie'RI∧λ!⊃I∧(#Rλ4 !S)T@"R)Uλ'∩*∀`(∪	Tp$R	∀`)∪	$@%∪iTP#R	$@'∪	4H$SITX+∃*5⊂*T
u0,∃jtp(Rj∧x'∩j∀P&TjUλ%∀
$h&∪IT`(∀	Th'S*5λ%T	D8%∩*$`'Tj∀h*∃JU⊂*∪*∀p&Tj58(Siu_&SIu⊂*S	4`&SId`(∃+∃H,∪)TX&Sidx'SJe0)∀IT`(⊗J∃'T*%0%Ri∧`%∩I5⊂)TIu⊂'∀)Eλ)∀itp&∪Ie_'∪jDp'∀*% (∃ju_*∀*e8)TJ%X+T
∃H+Tk%(+UkUx0↔k6,U
e_)V
u`,Tk¬@)U%P+⊗+¬(∀J4x'∀
Dp(⊗	u⊂*∀J4`#Ri4P&⊃Hth$S	DX&∀ht⊂$⊃λD((RI4_%QH$@'∪)∀@&T)4H%S)Th'Ri$h&TJ$h)SiE⊂*T
%8)S*E)Tj∧x(SJ¬_,∃
4x'∃
∃@*T)e *T%8(∩
¬(*∀
U0)∪iu⊂'∀*∧X)TJu((∪	u '∀	u⊂+T*U@+U
5λ(U
5X-U
eP.⊗
5_+VjU )T)4X-⊗*U()∪Ith(↔*u )U*∃λ&T*%@*UJ4x)∃	TX)T*∃ 'U*U)∃je_+Tj∃λ*∪jU8(TjU(*∃k¬_,⊗juX,Uk∃H1Wk% )T
¬ )W+∃H.⊗KE0*V+∃p+∃h∀@,∩j∧h'∩ItH&Sj¬%RiD8%∩I∀`$∪	4X'∩	T(%Qht( ∩h#h#⊃h4λ#∪	∧8%RiDx&⊃ITp)∩	∧H&∀)T($R(t(%∪	$0!∩*∧x$∩J∀`%∀iT`)∀
∧P&∀)d8$T*5⊂)∩ie'∪i4H%SJ∃_(UIdp&TJ∀H'V
e 'Rie_%U*U(∀iE_*U
∧`%Ri$p'U
uH*↔
Dx*∀IT`&RJ∃ +∀ie_$SJ5λ(U	tx(TJ∀x)SJ%(+Tk∃ '∩jE'T*e0&∀j5λ*∪id`(∪)4`&∪)e_)∪JDx$Rj∃0(TJU⊂*∪ITx'SJE )∃
∧h&∀
∃0&∀K%()UK∃0-WK5P.VK¬0,V¬0+⊗E8+⊗∃H,∀j%X,∃Je_*∀Ie0-Uj∃0)V*∃&∀JD`(Rj5⊂%S(TP'∪Idp%∩i∀@&∪(T(&∩hd8&QHt⊂$R)∧ #⊂h∧_%Ri4`'∩)∧P*T*E_&T
∀x)T)E)Sj%λ(TJ%⊂&∃*e_*⊃IdH&∀*∧P'T
u +U	Uλ'T
E_)∃J5(∀J∀x+U*Tp*∀*Eλ)U%_(TJe_*U*∀x&∃k¬8.∀Ju8-⊗*% (∀IU0-∃)e⊂'UkEp)∃
$p+∃k∃0+⊗*%8(∀*%P+Uj∃ *U)u)∀j∀x&∀*Dp%QIDp*∀Iu_(Sie@)S*Ep,U)EP*TkE⊂+V+E⊂+VJe8*Vju0)Vk∃H+⊗jU8+∃*5(,⊗K∃_)UKu 'Q	U_(SjDp(∀	tx'SJ∧p*∪	T8%S)$ #⊃λD@$R)$`&∩I∧H$∩λ40#⊃πd∨S	TP%SiT`&∩I4X&∀	tH%∩)4`$∩)∧("∩idp&S	∀H#∩)D@#∩itp&Sj¬λ*TI4H&∀	4P'RIDh#∩*∃λ&Rj¬@*TIeλ(∀
4p&∀	u⊂-T
$x)V∃()Si∀p)S*E0*∃)uλ+∀)u_(T
5 (∀J∧p'TJ∧h+Tj¬'∀*eh%RiU⊂'∃∃⊂*∀jDP(U*∃λ#R
∃()∪)E⊂)T*∧`*U
5_'T	dp)∀*5(*∀	tx*∀i5_+∃∃_*∀*$x(∪J5 +∪Id`)Uj50+∪Iu@-∃+¬P,U+Eh*Tju@,V5P'∀+50,↔K¬0.∃j5H(Sj%8)∀J% *TjE&U
5@&S)Tx)U
∀x&∩*$h$SITx$∪λtP'Ri∀H&T)D !Qhd #∩)∧P$∩(4P$S	e_(∩iDp&∪	∃λ&T*$h*U
¬((∃
¬*Uj$`'RiTX&R
E⊂(∀j5(*∪*e ,∀IuP)∪j¬ 'Uk¬`,TJ%_)T
∃ ,∀*%8)U*$x(∀*5_*∀
∃'⊗K5⊂*T*∃⊂*∃J∃-∃+¬8+∃*∃@+∀)u(-V*U0)V+∃ ,∃	dx(SiDP,T)5(∀J%λ'UJe_(T
¬_)∪*4x(SJ$P(∀*%)UJ∧h,∃j58+∃
uH)∀k%@+⊗JEH-V
5P,UU(.∃k5(+W∃_+⊗¬X-⊗
4`%∩J5H(U*5λ(∃)T`&Sj4x)∪)E'TIt8%⊂hT`%⊃)∀X%Qi∧0$∩	∀0∨P'#x"∪)dP%Si4h'SI48$SId8%Qi∀8%⊃HTP"R	Tp(SHtP#∩)th#⊃*$X%∀	4x)∀	4`'S)Dh&S
$h$S
∃'Sie⊂)∀iDx)Sitp'∪IU ,∃Je '∀
E()∃
Eλ(SIdx(T
∃⊂+∪	u_)∪j%_&∪I%λ&TJE0(TiT`(∪*UX&∩	∀p&S*5λ)∀jdp*∀J¬λ'R
∃λ&Si%_'∩j%⊂)Titx'∩idh(∀*∃λ)U*Dx*UJ¬ *∀k¬λ)∀*∃λ'∀JE0+TJ∃_*⊗	E *∀*% )U
EH*V+¬H*T*Eh+⊗jeP*⊗∃_*⊗
Uλ/⊗
%⊂)Sj¬8(U*¬_(S
4h%SJ58(S)E )∪j∃⊂%∩IdP%∃*∀p$Ri∀H&RiTp%∪iT "⊃I∀(%∪λdH%RI∀@&∩iu'S)dx'∪iE⊂(T)uλ(Tj%0'U∃_+TJTh(∀
¬⊂(S*¬_(TJEH(T	eλ)T
%H*Uj¬0(T*E(.⊗
u (S)Dx)SJ¬⊂)U*Dx(U	U⊂,∀*∃⊂'V58)U
E0)∀
u⊂,∃
E()T*5X.∀i%0.TiU&V,%X+U	e +∃I∀@,∪J$x%TId8(∃*u_(T*¬8,∪)e)∪)DH&T*¬λ(∃)tX(∀ju -V)uH,∃
u *VjE0,V∃@*∃Ke8/VjU(*∀J∃⊂+⊗+eh+VIt`&∪*u(%U	dp%RIDp#∪j∧X'⊃he_+T)Tx%⊃hd@%⊃IT(%∩iEλ(∩I$0!Oπβp#∪ITh&∀	Dx(TJ∀p'Si∀X$RIe(ShD8$Q)4h*⊃IEλ%∩ju⊂&∀idX'S	T8'∩i$@%T)tp)SIDP$S)Eλ(∀	u (∀	u+∀	dx*U
$x&V
dp&∃*E '∀	tX%∀*dP&Rj∃0)TiTp'S*5 *∀k∃8)Sje 'Sj¬'∀*U_&∀K¬⊂&RiTp&TJ∃ 'TJ4x*UJ∀`*∪*∃λ)∃iuλ&∀	dp)RI∃_+Sie &∪JDh*∀j∀p%S
%(+V
$X%∃*5⊂*∪J50+Wj∃λ)SJ∃λ+∃JDp)∃JUλ+∃∃X+W+5(*∃j%((∃k∃h,VE8,∃*u )SJ¬0+∀Ie8(RIdh'∀*∃ 'S*¬@)∀j∀p%∀j$x(R	$x&R	$h%RI∀x(SiD@!Qi$0!Qi$@%∩i∧@%T
∃λ%Sitx(∩Ie(SJ¬0)∪)U⊂(↔%⊂)Uk5@*∃j%_)Uk%8.⊗JTp'∪)Uλ'Uidh&TJu_*U
4x*Tdp*∃
U'∀+∃ )∃*%8+TI5-∀jE⊂+∃*∃ -X*5'∃+%H+∀
¬()VK5@-∪j58+∃
%λ*∪j5_+∩)eλ(SJ4x+⊗*U(TI$X$Rj5⊂&∀J∧p&∃	$`+U
E_)T*∃'U
¬0(∀JE0*⊗KU8,TJuH0⊗k¬8+W*U8-Uj5(,Uju@)UJuλ,S	∀`*∃+¬0*∪j5_&T∧h$S
∃λ&SId`%⊃(d0#∩(TX"⊃i∀(&R)dH&∩	∧@"∂π3X"∩	4("R)dX%T)48%S)Tx&S	∧x(∪i$X*∀ITx#QITp%S)$`(∀	∧P)∪
$X%RITh'∩IDH'∀
∧X%⊃*5λ(Si∀h#RiD`'∪j%λ*∪j5 +UjUλ%∪
4x*T*5 +TItP(∩iu0+∀	tx(Rj4h(∀	U0'∪j∃_+∪*¬)Tiu'UEX*⊗
dp$Rk5⊂(∃J∀x(T*∀x)U	e⊂&∪J∀h%T)∧h%Rj∧x)RiU⊂&T
%(-∃
∀h&TiE⊂)V∧@*∪)U(*⊗*¬)Sj50(∩J∃H*∀k∃@*T	e)U
5h-∀jU(/∃
%(+UK∃ (∪j∃X.↔5P(T
uH(Sje⊂)∀JU8(TJ∃@*TJu0'P(tp&∃	dh$⊃i$P&RiDX&Ri4X&∪)dP"R(dP!R(∀0$⊃)∀@$SiT`'T
∀x'Tju8+∃	u⊂*∀IE_(Sj∃*∀j$x(∪
% +UJe⊂*Tiu⊂+⊗jU8*∃
E(&U
¬_'TJE,U)u()∪k∃_*∃J%λ&Sj∃0'X
4P(Sj5@+∪j%8)∀)e(,Tj5H+↔l∃0+⊗*E8'S*%@*∃)d`*⊗*u)∃j∃_(∪I4p&T	4h*∪idp&⊃HT`&R)dh$∪ITX%Qj∧X%TJu⊂'RIu(+⊗
U`,VJu )∃je ,⊗K%@*U*∃8-∃Ju8*VkEλ(Wkdx&∩Ie8,Tjdp*∪I4x&T	Dp&∪
50'SI∧h$⊃HD0$∩λdX#⊃Ith%S	dH&∩i$  O($("Q	∀`&QidP%∪	D`'∩)∧x&Rht`'∩ith&∪IU@(Ri$h&S)u'∪
%⊂'∪	∧P&∪iE$∀
5_'∪	TH'T	$x%R*$p&∀
5P&TJ%(U)T`'T*∃0)Si$X(∀*% 'TjDx)Siu (∪Idh'RJ50(Tj$`(∃)e)T)eλ+⊗iu@)∀je *Tj%λ)V
Tp&S)e⊂+∀
∃('T∧p'∀*E⊂(∩j5'∪*U (Tj∧`&RJ5 %S)$x&∀J$p)TJ4X)∃jE@+∪J%,UJ$h$U∃0*Vl¬h+∃+∃0+⊗juH,∃JE(&∀
%0*∀
5(0W
U@-U*eH,⊗Ith'T*$`)Tje0(∀
U8*∀ie_,∀iD`(∀*∀x%T	U0%Si4x&∩h40$∪	4H%Q)Tp%R)∀P%∩jTp%∪
∀`#Sith(Sju8'∀
4x,⊗*E0)∃*uh+∪j¬λ)∀J%⊂)∀
∃0(V+¬(.∃
Eλ*∀*eH)∃JU_+TIu⊂(∩)e(+Sj∃0*∪Iuλ'∩J¬_)Sj∀`'∃
E0*W*eP-Uje((Uk∃_)V*5 -⊗)TX'U	U⊂'∪*∃λ'∪idP*⊗J$P'U¬_,TJ∧X(∪	E⊂%RI∀@%RI∃'∀I4`(SI∧`'∀idh%TIu⊂,∃J¬H+U)Th/↔5p-VJu0)VkE@+U
E0,T)e(∀	$ #U*EX+∃
E_*∀*∀`)SI$x%∀
¬λ&T
∧p&∩	∀($⊂hdH#∂Idh'∩iT`(∩Ht@$Qh∀⊂$R)∀@$QJ∀X&∪	5$Ri∀P$T)∀h(Ridh(SiTh(∀)e0*Titx'∀*%⊂*SHd@%S)T`'U	Tp'∪	t8'∪Iu'Qiuλ(∀JE(+U)Th&∀
Dx'∀Ju_(∪iDx)∀
∀x'∀)Tx'S)u_%TIDH&∀K∃_+⊗
5*↔
U *T	e(,∃
∃@)S*∀p*Uj% *∀
dx)∃jU_+∀)5'∪
∧x(∪J4`)∀*5⊂(∃)Uλ)UIdp(TIdh%∪)tp%UIu'∃I$`)∀J∧x&RJu0+VJuλ(Tj∃0+TJUH*∃
e@,⊗∃@*U
%H/W*UH*⊗*Dx*UK¬((TK%8*UJTh)T*%h-U*u8+U
∃ (∃J∃0&∃
Eλ(∪iDh)∀J¬⊂'S	∀H'∀)$H"Qidh$∩I4(#⊂iD`'⊃i$`#⊃)∧p'∩	$X'⊗%(TjE(*T*e0*U
tx'Tj∀`'⊗*Uλ+∃*%λ&∀k∃@+↔+%0)Sje )∃j5@+SJeλ)∀)∀x*UK$`*SJ5 (U*5λ&∪J∃-∃% *Uj5λ(∪J50)∀K∃⊂)⊗
¬0)S)dx(∪j∀p(∃KU(%V
∧p)U	∧h%Riu)∪I4p'∩(d(#⊃IDX#Qh$h*∀I¬_'∪Hd_%S	Dp)∩IE(T
e'T
¬ )∀J5 +⊗*e@)V∃ 'Tie(+∀*E@)∃(dp*∀*5*UJEP&∃*%λ$Q)t`%Ri$X&∩iT`'QH$⊂"⊃i∀p#⊃ht0$T
∀h&S)∀@%RλdP'⊃IT@(∪
$`$∩I∀h%QID0&∪)D`)SItx(S	D8&∀)Tλ%TIt`%T*E(R)∃_%T*¬λ'∪)E(&∃	E_*∃)dp(RIe*Sj¬λ*∀
E )∀	dx*TK¬0+∪jU_(TK∃0)TJ%λ+Tj∃0)SjE)∃∃H&∃k∀p(Tie⊂(U
¬λ(SIU_'∩i4h(U
∀h'TJU_(TJE +∀
∧x'UJ∃⊂'TITx(Si∀`)∃idh%S*5`)∪j∃_&∩*U_&∀
5(Sj∃ ,∃Je_(TJ∀h&TJ5@+U
5⊂+⊗*e⊂+⊗JE0,W
¬()SJ%_+T*EP-∀K5X,⊗	u (V
e@-UE(∀k¬λ-⊗j¬λ&∃j5_(TjU0*Sj$x,U	u_'SIEλ(R)Dh)∃iT8"PI∧H#Rh$(#QI$0"QI∧0!∪idX(R(tX%∪Iu_'Ri4h*∀J5)U*∧p*∀Jdh&∪K∃ *Tk¬'∪*e_+Vk∀x)SJ%_(∃*∃H*∪
¬H(V*eλ*∃J4x'U
%@+V*U0)∃*5 -SjE(T*E()SjU@.∀j¬@+Tj∃λ(T	e@)T*∀p(Ti$`%∀
∃λ$Siu(Sj¬_)R)$($∩λt@ ⊃	$H#R	4@!RI$8%Ri¬*S*¬ &RiTP#Rj∧H%∪)dx(TjU@,∀*EH)U+EH*⊗ju8+T*TP#RiU⊂)∀ju0,∃JE0'∩Ie_)Rj∧X'∩i∧X&R)D`$QHβ8~∞(40%∩i$X%∩Hth'Rht8$Qhd`&R)∀@%∩	∧x(∪)$ "S(d_'T	eλ%S	∀_#R)DX$∩iD`&∪	∀`&SI∀H'SIDX'∪iuλ(∀	e)∩	T`)∃
∧X)∀ie_)⊗+∧X(∃
5*∀)4h'∪J5*T)Tx,U
U +∀J58*∀I4p,∃K¬λ,SId`&T*$`$S*∃'Ti5X)T*¬⊂'∀)tx+∀	t`&T*∃0+∪J∧x&Si4`&T
%(&Si∧p$Rhd@$R)T`$RIDH'∪iDx"Q	U+↔5λ'∩j∃⊂)T
%&∪IDx'U*5λ)U*5λ*∀JE8+↔+∃(*VK5H*U
U⊂*Uj5 -∪iu (_*Dp'∃j∃λ)S*%⊂*∀jTx(∀
e⊂'∀
uλ(∀J¬8,∩IUλ(∀j¬$∀Itp)SJ$x)∀	$( PhD_≡R	∀H"⊃(dλ∨Q(d@$Ri∧ %⊃i4P%∪(d@$∀)$H&∪*∃_+TjE*V+∧p%S	e&∪j∀h(TJe(,∀
∧h(∀J4p&R	U )∩iE*U
$`)∀
%λ'UK¬_)∀*u ,∀JE8)TJ5λ)W+e8*V
%_-⊗
%(*∃ie (U
5@%SiTp'∪j¬@+∪J5'∪j∧p)∪J$h$∩	u$∂h3x∨P	∀H%RI40&Ri$`$⊃j∧`'Tith*∃I4x(S)∀h&⊗
U0&∪J% *⊗+EP,U
EP)T
∃_-⊗+∀"RjU )U
%λ(∀k∃⊂&∩I∧p%Siu⊂&∪iUλ%S
∀p$∩)$ ≥∞H∀ )⊗	∀h$∩Idh"S)$P%Qht`&∪(d8%Rhth&∩)4X$⊃H$@#⊃I$@$⊃)∧8(∀*∀P$Sj∧x%QIT`&∩j∃$∪I∀@%Sitp(∪I5('∩i$x%S	$h'∪)U_)∃)U)∃k∃ &SjU_&RI5λ(S
$h'∀*u )∪	tX%U*E0(∪Itx'S
∃()∪)$`%∪j$x(∪iu⊂(∩Ju_+∃
∃λ+∃
5⊂+TKE0)S)U('SIeλ)∪I4x(RIdh'T
∀X&∪i$x#Qi∀H'∪iTp+∀JTx'T
$p'T*EX)SIdx'UK¬⊂*⊗
e@(∪
e8+TJE )Uj4p*T
5*U
%8*T)U(.∃
∃(,V*uP+∀k¬p*U*¬(*∩j$p(∃I4x+∀	dp)∪Ie(Rj∃(,∪)Th#∩)Dp'S	tx'S)dx%∩IDX"Qi48$S)$P$⊂(∀ "⊃(t@!S	dp'∪(d0&S)DP'S*∀p(T)th%Sj4h(TjTx+Wj¬λ'∩
∧x&Si5λ,⊗UH'Tj∧h&∪
∃λ*TJ∃8*∪*∀x)∪K∃8'TK%x)Qju@.UJU⊂+U)5)TjU((∃J5@.⊗+%⊂,⊗
U&U	tp(T*u⊂)∪J∀h'U*tx'Rj¬⊂'R)$8$⊃htX!∂λ$8$R)4(!S
∧p$∩JU⊂)∀iU⊂&R*∧p%Shtp'Ri%⊂(S	E *V
% )∃*5_,T+e⊂'∪(dx*⊗*e(*SIE(+⊗
eλ#Phd0#SIT@&∪iDX$∩HtH&T)4p(Pπβ@≥⊂i∧@"Q)Th$∪Hth$S)D`&SHt0%⊃hd8'∩(t`&∪	4_"Qλβ`∨⊃)∀p)∪iDH%⊃iT`#S	∀H#S	tP'∪	40%∩j¬λ&∪i5λ%∩	$P(∩j∧h'S*4x'∀	$H'S	tp%Sj∀p'∩i∃_'⊗*e⊂&Ri%@&SK4p(U
u8'T
∀h$S
%λ)S
∀x(T)tx+V)tx(∀J50(SJ4p+V*EX*TItp%∩ieλ)T	U_'∀j∧h)∩*∧X"⊂i∧p'T)T8%Si∧X)∩i4H&S	Tx&∩id`(∪)E⊂,U*EH.V
U_(Sj50,∃
U +∀J¬8-Tje⊂(∀Je8)∀*%()VK%@)∪j¬_+∪	th.⊗E +∀%H'∪)uP+S)4X*∀)D`)∃
Dh%∪
5*∪)4x(U)e%∪	4p(SI4X%Q)4_∨Q(D⊂"⊃(tX&∩λ4("⊃λT⊂!∩IdH(TI∧_#⊃idp&∩*∀p)∪*Tx*∀
%H-⊗
58+Ti5(∃
∀X)Tj∧p*∃	tx%U*tx&TIdX&UJ∃λ&∃*E *SIu(Tju⊂&⊃jE +T
5@(Tj∃8+UJ∀h)∃
E_(T
E⊂,∪*¬'∀
%0*S*%8*T	e (Si4x&∪*¬_%RiTX&∩j¬'∩Hd0#∩)D0"Rie⊂%RidH%∩
∧p&∩)∃λ(Rj$p$OhEλ+TItx(∃
U0,VJ5 (QJ∃λ#QjU8+∀*%@+∀JUH)∃
4x%QIT`&⊃HT(%∪iU%S	tx%QJ∃'RλCH≠∂(TX%Rht8$∪id`&⊃)4p$R	∧H$RλT@$R)D@%⊃i$8!OGt0#∩HdP(T	Tp&⊃J∧X&∩	∀H&T
∧p%⊃ie &∪
∀h(∪i∧P'∃)4p(∪	$p)∀ie&S)∧X&Sj∧x%∪i∧h*∃Ie_'∀It`)∪*u8'Ri4`&∪	E(R*$h'T
Dp&∪)Tp'U	tP(∪)DH'∃
¬λ*∀
Dp&SJ¬)∩i4p%SIdx'RI4`%Rj∧p(∪	∀p%∪	u⊂'∩i$@%RiD`*∃)∧`*∀	TX(∃
∧X&TITP$Qi$H(∃
% *U
5⊂)∀ju_(U	e0,V*%⊂)U*eP-∃j¬_,∃J%8*∀
∃0+TJ$p(V
U⊂)∃jTx'∀
¬8,∪*∧x-TiU⊂(TITX%∃*U *TItx&∀KE0&SITX&RIDX'∩(t0#⊃HD8"∩(T8#Pi$⊂!PHD(!∩	U((∃	Dh$Qλ$H$∩j$X%S)u )∀	u⊂)∃Itp%∃j5(∀*4x&TJE*∃*∧`&∀JU &T
∃λ&T*%λ'S)Dh+∀	d`)Tj∃⊂*∃	u(∀itX&U
%0)∃Iu_,↔
Eλ'T
E *Sj%_-U
5λ(∀J¬%S)$x%Sj∧h&Uju_(R	$@&RλT #⊃(TH&∪	$0!QhtP#U)e(∪Itx)∩i∀h)TJ∃_&∪
E@(∪
∧x)V
U8'∃
u((∩iD8 ∩)4x(∃U0'V
E⊂'T*∃%Ri$`%S)4H'U)Dx'∪J4x%QI$H#QI∀`!Mg∪x$S*∧`%⊃hd@%R	∀H(∪i∧p%∩λD $⊃id !Qi∧H#⊂hdh(∀i$H&∩($H(SλdP&RiTX%S	T $SλdH'R)d@%∩)D`%∩j∧P%S)$P&S)TP&∩I$h&U	E &∀J∃_#S(uλ'∩J∃ &∪Idx&RHTp'∪)4x#RJ$H%RITH&SJ∀x&Sλdh%∩)∧p)∀)d8%∀J%&∩)∀8$T
∀x&∪
∀0%∩	48(∩	∀X&S)dp#∪Itp(⊃I∀h"Qht@$R(dX#PHTh'R	∀@&S	∀h'∩i∀8#⊃(dP'T*5⊂+T*∃()TjU0'∪ie()∃*u*∀j∀x*∩ITh'∪ITx(TJD`'∃
%'∪	∃λ(∪IE()∀Ie8+U
Dp&SIU *∀Iu(∪ieλ'∪
∃(∪IdX(RhtH$RI∀(&QHdP"Pi∀($R	∧@%∩HDH(Rλt`'Rj$H$∪)DX%T)4p&Sj∧h'∀*∧P+S*¬λ(∪Je(&∩IT0'T+¬8*∀jU()∀)eH+∀
5 $R%8)∪
¬*Tj∀H'∀	∧`&Tj5 )∀
¬λ)Tj%0'T*5(*∀k¬λ'∪)u(TidH&U
Tx(∃*U_(∃ju (T
∧h&Tj5H'∩iDh&R	T  ⊃λdH$Pλ4( R)d((Ri$0&∪)Th)Uku0%SJ4h'⊗E@)R)uλ*TIUλ(∃*$P%RhD #S
∀X(Sje_'V+%P)∃K∃&∩i$P&RI5λ'∩i$`$∪
U$RiDX&RidP#⊂h∧_#∩)∧H%RIDH'∪jDX"∪IdX#∩i40#∩)∀8&⊃(t(#Qh$ %∪λTP'⊃)∀ "⊃i∀8$Ri∧X$RI4 %TJE#QI∀p'⊃I∀h&Rie'∀)Dp'∪iTh&S)∀x'∩He)S
∧p%∩HT0&∩J∧X%∩($8&∪i∀H(SidP%∪	$P%S)4P&R)tp#SHt8(SI∀@&∪	d`#∪j∀P)∪htX%S
∧`%Si4h'∩j∧x'SHDP$S	4`&⊃ht`$R	48%∩	T8$⊂i$0!Q($(%R	∀`&∩HUλ'∀
$P&Ri∀p&∪I$h)∪I∀8"RItx%S
Eλ&∪iDP%Sje %∀	4x)∀	e &SIE(∩J¬'∪)Dx(T	$`'∀JE⊂*TJ¬λ&∪
5(∪
¬%Ri4X&S	4P$S)¬#∪I∀0%∩HD ⊂I∀@"Qhd !Q(T("⊃λDh'⊃	∀H%R)∀p'∪)$p%S)5)UjU 'TK¬λ(U*∃⊂)Tjt`(∪)tx(∃
∃ -∪	48(∀*¬)R)∀P'RJ∀x*TJEλ&U	TX(∪*E⊂(TitX%S)E(S
∃(,∪I∀X%V*E0)∪
TP*∃
E0)∀j¬0*∀j%⊂'∃
∧x(∀jDx&∀K∃_(⊃htP$∩IDX$QH$@$⊃I$⊂$∪)tp'∀Id8+U(th'Siu_'Tj∧h(∀K¬)T
4x)U
$`%Rhd_∨O($p(∃*%_*⊗*%)∪J4h%TjE$Qi∀H#∩i∀p&R(dH#RiTh&∪	∧P$RJ∧x&Sλd $∩λdH'RI$X&S)th#∩I∧0'∪(d@$Q(D #QH4(#R	D8%Sj$p'∀IDX%∩i4_(∩i∀8%∪	D@$Pht %∩	$`'T)$h(T)Dx)∩)DP#∪I$ #T	∧x(T	∀`'SλtX%∩(t`(SItX#⊃I4`"⊃Htx'∀	TX$⊃I∀p%∩ht`%Qi∀X!R	$P"∩i4h&⊃I$`!SItX%QiDP&RiTh&Sj∧`'∩i$P"Qh4P%∀ITP(T(T0#Rλt(&S)∧@&⊃)∧x&PH$X&S	DX'∩)∃⊂%∀iDh(T	eλ(∪	4p$S)T`&∪)dx)T*∧p&∪)dh&SiEλ#T
DX&S*%0'∪(D⊂'∀
$x(S	D`&SIU'Tj∃_(∀idx&∪	TH%∀	D`&T	%λ&∩λd8#R	$x$RI∀0"RHT⊂!⊂ID@"R)$ !⊃IDH$R)$("⊃HT &∪	$P#R(tP&RIE(∪hth'∪idh(∀*u_(∀	d`&∀j$h'∃J∧X)SITh(∀)%λ)∪IDp*∀)U⊂+∀	U)∪jDP$T	th$⊃)4P$S	u_-SIDH(∀)eλ(∪j5'∀*$x'∀j4p)∪J%_(∃jE⊂%Sie⊂&T	dp(SJ%λ(S)$p#∪I$0#∪λTP$Q	∀8!∩iU'T
dX%RidX'∪ju0(U)4x)∀*$x(TjD`'∩)tX(∩iT@≡P	%λ'SjU)T*¬*T*%0*∃j∧h(T	5(Ri∀`$∪(tp)∀	∀h&Siu8&S	Th&∩	T`&⊃i∧8"R)4(%∪λE#Rhd@#R(∀λ"⊃λ4_"Phd8"⊂i4H$∩i∀ (∪IdX(∀	d@#∪j∀P$RItP$∩I∧H$∩	4P%⊃hd@&Rhd_$∪	D`&∪λtX&SI$p%SH$h%RhdX$S	dX$RITp'∪)t@"QI∧p#Rλ48%∪	dX"∩IdX%S
$X)∪
Eλ&∩)$0$∩λ4H#∩I$0"Q	∀@#QJ∧X%TI∧X)TJ∧0)Siu%Qi4X$Sj¬ (∪I4p&SIdH%∩)DP#RIdP$R	dh%Sj¬ 'R*¬%∪)dh&QH4 $QH∧@(S	Dx%∪*%(∩IDx(∩idX&∪
∧h"R(t`$RI∀H&∪hDH&Sλth(∃ie'SiTp)SItx(Rj∀x%∪It@%∩idp)RH$`"⊃Hdλ#⊃)$(%∩λTH&T	∀P QλD0≡R(d0!∩)∧H%R(t8%∩λt_!Qi40"⊃iD`&∪)4h&SHT $R*∧p%∪i∀`%R)TH'T*Eλ,T	E%∪i∃*S)Dp'T*∃P)SIdX%∀iuλ'⊃I$p&UI4H&∪)uλ%SjTx(∩j%⊂*∀it@$S
%λ(∃
¬λ&S
DX%S
∧8&∪	Eλ*∪)%λ)∪	U⊂$⊂hTP%⊂i∧( R	∧8&∪)4h'TI∀X&Rj¬((∪
E⊂&RJ¬⊂&∀
U_(∀
eP*∀j%*∃*e⊂$QH#8≠S	U(*∀J¬_(∩ie⊂-T)tP(RidH)∀
¬λ'S)4p$T	U0)∀	∀@(∀iTx&⊃λt8#⊃)∀p&∩	$P$∩i$p%RHTh%∩IDH$∩i$_#⊃HD_"QhT8#⊃I∀X#S)$8&∩	$@%RHtP$∩i48$R	$H$SITX%QI$x#⊂hTH$RHt@#∩)5(Ri$0$SITX&∩λd@$QIDX&∩j∀H$∪I∧@%∩JD`$∪	DH#Qλt("∩J∧H#Q)Dx(∪ItP(R
∧`&P(tX$R	T@%RIth%⊃Ht0'∪	tH%R($0&S	∧`&SIEλ'∪iD8%∩	tP$RiUλ&RIT`%RJ$X'SITx%S)$x+∀*∃λ#∩)%(∪Idp)S)∧P$∩idX*T	U_(T*∃_-∀*∀x&∪*U(∀	∃'⊃I∀8#S)Eλ*∪)U(T	tX%S)e'S)TX'∀*∧`$SId`)TI4@$⊃hth*Rλth$⊃λD_$RI48%⊃htP%TI$h%QH40#⊃HD0"PλD@%∪)$8#R	∀_$⊃i∧`#∩	tH$R	$P&∩	∧H$∩)∀0&∪	$X#∩(T0$∪)4@$R	∧P#⊃i5_&R	tx%U
¬_'TIU %RJ¬(Si∃λ(T	T@$Qiuλ*∪	Tp&∀j¬ 'TItx%SiE⊂&S)dx%SIdp'∩iD⊂%∀)T`(TJ¬'S	∀H%RiDp%∩(t($⊃i4p'⊃htp%∀)th'∪
∧`(∪j∧x(∩iu_'U
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∧8"∪	Tp'∪ht8)∃I$X%∩λtP%⊃i$0#R	∧@&SI∧H&⊃(d_#RiDh"⊂(T@#∩ID@%S)Dp'RiTx%Q)∀X&Qi∧`'Pj∧H&RhtX(∩)∧X%RHt($⊃i$`&∩Htp$∪)∀`'∪iDH%∪	e&∪
dp(∩iTP$RIeλ%S)tx%T	uλ)∪
∧x$S)t`'∃I4h'∪)∧p(∪*$p(R)U &∩J∀p(∀IE'∀Jtx*∀	T0(⊃i4p%∪jd`)∪IuH'SJ∃_'∀*Tp(∪IU+∃Itp'∃)tX)T*∧h%∩)$`*Ri$@#⊃H4($SID0&⊃I4@#S	tx&∪)DH%R)$0&QHtP$QIDX$R	∧P"Qi$`&S	∀H#RhT8"∩	$8$RI∧X&∪Idp%⊃hd_#Ri∧ $⊃λD8#Qλtp&⊃i4`%TI$P!TiU⊂&∩i∀x-∃
Dh'∩i∀`$∩)$X(S)5λ%T	Eλ&T
∃λ&Sj∃&∪)4H$∃Ju_(∪iD_&∀IDx)∀j$X&∩I∧H%Rj∧@%S)$(%Qh$p&⊃I∧H%∪	4P&∪i∧P)∀)Dp'∪*∃0(∪*∧h&R)E_)∩iDh*∃)t@"PH4H%∩iDX'Vj%λ'V)dx)V*4h(∪JTp(∪it`%∀ID`$R)TX"S	TP'T(tP&∪	∧0&S	D0$S	∧@$∩h4p%∪i4P&∪It8$RI∀0&Q)$(#∪	4X#∩*∧`$Q)U(∪ith(∪i∧`&∩	Eλ&∩HD Qj∃λ&Rλ4h$RId0"S)e$RhtX$S
∧`'∩j∀H&∪)DX)Ri¬(Sj$8)RHTH$Q	$H$∩)tP%∩)∀h%R)T8%S)∧@$R
∧`(SJ$X#∪λuλ(∪)4P$RIdx&Rit`'S	4x*Sj∃λ*T	e()∪)tP%Tid`#Sid`'S	D@(∩iTH#T	dx&T)$`%S)D`%Rj¬λ$Pi∧H%S)dh&∩	5_&S)tx+∪)4`)S
∧p*∀j∃⊂)∀	uλ*∪I∀p(∪j∀h$T*U()Tj∧_#∀	D8%∀)Tx+U	d`'RiD`%Tiu)∪)Dx)RIdP$QHth'S	TX*∀*5λ#QHd0&RI∧h&∀)Eλ#SI4P#∪	d`$∪hD8"PITX$QI$h(QHdP"⊂HD@$∩	DP"R(tX%⊃	4x%∀	∀`%∪
∧x$R	∀0#QλtP'∀Itx(RI4x#T*∃⊂&∪I¬&∪j∧H(R*∀P%∪	u⊂&R)%(U)dh%∪)dp$∪)uλ)TjdP'U∃λ'∪i4`'∀J4p%∪λth'S)∀p&SIT@%R)4_#⊃	d8%RiTp'∪ITX%SIdX(∀	Tp&S	U(&SIUλ+Rj¬_)SidX(∀(dλ≡⊂I$h%∪	Dp$∩	dX#∪)e *∃	tX&∪)4`&∩iTP'∪i$h%⊃IDH%∩)$h%∩I∧X$⊂πdλ Qi∧P#RI$@!⊃i$0%∪*∀h'S(tP!S	TX%⊃(4 %∩I$0$Riu⊂'⊃i$p%∩*¬λ*∪
E(∪	∧@"⊃λ4_ QiTh#R)$H%R	dX(∪)$x(T
∧p&∀	D`$RJ∀H$QiD8%∪)DH&R	4P*∩i4X&∪)DH$∩I∧@%∀	e⊂)SIDp&Ri4`&∪)5⊂(Ri∀0#SiDX&T)U_)RITx'SiUλ)∃*E&∪
∀`$∩j∧x(∃
5⊂*R)TX'∃
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∧h%⊃i4x%⊃(tH%Ti4H$∩i$x&Q(4P'∪	∧_%PHd`%Qhd0∨OHD0#⊃i∀@&RiDH(∩I∀X'RId(%R)4p'Si∧0"⊃λD@'∩I∀@$QI∧P&∪I4p&⊃(∧8#∪)tx(T	e_$∩i∧(#R)Dx&∩i4H'∀)T`'TJ∃ '∪*%_)∩)D`(∪	∧p$PHth$∪*∃ *∃	D0%∪
EH%V
TX&∀iDx$∩i$H'∩j∧P$∩	TP$∩ItP"∪	TX#∪i$@(T	dx&∀*∃_,∀	u⊂(TIe⊂'∀J∃8+U
5 (TitX&∀)3p ⊃	dX#Piuλ&R	tX'T*5λ*∀)Dp(∀I$x%∪
∧x)∃	4x(∪Je_&∩J$0$S(tP 
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∀X%∩λdP'R	dX'S	∧0#QiDh%S	tx'T
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Tp)∪Ie_(Sj4`(TJ4p,∀k¬((Uj%(∪Itp$∪J$x+∩)dp&∪K¬%∪
Dx'∪ID`*U
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∀@&∩iT8%Sj∧8%SIDX&S
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Dp&∪	TX*Vieλ*S)%&∪j$h$⊂(∀H#⊃i4p%Rid(%Si%#S	dh'∪I4X&SJ∃⊂%S
∧X&S)$X(∀)u_&S	TH$Tid0≠
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Fs@≤O(∪`∨∂GtP'Shth(∩)eλ)T*%_(SJ4x'T	∧P(Rj∀x'∪Idp%∀	%%TK∧h)U
∧h%T	∀x)S)Eλ*∪)dp&RIdp$SItP%Sj%λ$T*∧P%QI4`&T
∧p(⊃jtx(∪	U )∃
DX&∩i4h%∪	4X%SI%⊂(S*E((SJ∧h!∪
∧p)UJE(*∪
¬H+V*5_(∀Ju8*∀+5()∪*∧h(U
u⊂'∀J5⊂)∪jU_'U*u⊂'S
∀`'∪*∃⊂'∀
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∃(Uidh'TJ∧x'∪jU⊂+Uj5_*UItp)∪	e0'SJ∃ (∪)t`'∩ht`%T
Dx$∩IT`'T	D`%Q)∀P$Qλ∀P%∩iTH#Q)U%T	TP'S)U&SIT`"R)∀@$⊃i∀8 ⊃)∧H#⊃λD "QI$h%RHd8#⊃HT0#R)4x&SItP%⊃hd0"⊃λt0"S	$8'∪hT8$⊃iT8%Si∀ %∪)Th$⊃I∧P$⊃(DP%∩H48%QJ$X$SI4⊂!⊃(t($⊃I∧h'∩iU &Qieλ'S*∀p&Si$@#Q(4H(∪ITp(R(th'∪j¬⊂)∩)dP#T	$8$RiU_(∪Idh+T(d0"∩I∧P ∩Ie_)∀*$p*RI∧X)∪i5%RJ∧x)∩i∀x(∪htP'∪It`(∃Id(∨⊂I∧H!Q	$P#⊂HT@%TIu(∪(t0%R)U%R	∀X&S)∀X&∩I4X'∩*%8(∪
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e`)∪IdX)∪	4p(U
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DH&∩i$X%∩Gd@"∩(dH$Ri∀0%∩Idp&∩(5&S	d0%∩I5H(UItp)∪λd_$∩)∀@%S)∀`&T	∀h'∀)dx*Ti$X'∪Idh%∩*∃λ(∪j4h'TλtP(SI∀λ RλD`$∩i∧p%⊃HdX"∪	Tp'SJ%⊂&∪	∀8&S)tH%∪λTP)∪J∧h$∩	∃'T*dp#S	DH!⊂'∪`#⊃)βp≤MG#X≡∞gt@$⊃iUλ'T	E_$T)¬λ*∀IT`&∀J¬(*∀jDx(∪	∀P%∩iD`'Sidp)Tie()∃	D8≡⊂	∀h"⊃ID@'Ti$ #∩i$x&Ri4p PhtX(∩j∀X%∩λtX%∩I∧P)∪	%λ(∀	∀h(∀J∀p%∪	$X&RJTH'⊗iDx*Uju⊂(Ri$H&Qi¬λ(∃j4x)∃K∧p%∀je(*∃*E *Ti∀X(∀	50)U
u&TJ58&S
∃H+∪J5+∀i5_'∃
Tx&RJ∧p*T
¬⊂%Rj¬ '∃
E_,U*∃λ(T)Tp*⊗*¬_'S	e0,⊗JEP*SjUx,U)$X)T*e '∀*U_&UIe_-∪λtp&∀j∃(*TJu⊂(TJE0)TJ∀x(∀	tH$∩	u (∪*∃X'∪J∃&∪	∧x%SI∧@$∩IT($S)4H∨⊃I∀8%Ri40#S	$p)Si4H$S	$ %SλT0#∩ItP%R
∀p%∪	4x&∪i∧`'RλD8&Ri5λ%∩ID@$Qh$H$QI∧@(∩I$p&RiDH#QiE#QI∧P'R)TX'∀J∧x$∪	DH)∀	DP%RItP&∪)T@&∩(DH'SiTH'S	U (TjuX)∪)u (∀
%λ(Tj5 )Uj5('T	D`$∪*∀P%S)$P#Rit8(T	tp)U)Dp(Si$x%⊃J∀`&R)dP#Siu(⊃g40'⊃ht`&∩ITX(Sie⊂'⊃iUλ*∃+∧`%S)4X$∪)Th*∀*u'SiT`'∀)U0*U
5_'∩i∧H OHT@$∪)$P%Qh3`!⊂πSx≡PiT8$∪iE⊂&S	e⊂)Si4x)∪)tp)VJU_*S(4@*⊗)D8%∩ie (S
E&∪j∧h"Rie%∀)∀X(Rht⊂(V
∧p#RI∧`&∩hTX&Ri$x%SiTh$∪Itp)∪HtX&∩)∀λ'∀
$X%∩IDP"∩(tP$RIe⊂)S	e⊂'∪(TX%RITx&TJE &∪j∧p'Uj%λ%T*∀p&U*5_+∀)e()∀)Dp,∃*5 (TIT`)∃K∃0+QI∧`'∀)U+∀Ieλ,∪i∧H(∪)Eλ+Tj%0(Tiu %∀*e *∪J∃)S*¬ (∀jTx%∪ju8(∀IU()∪jd`'S
∃&S	d0$Sj$h&∩	tp(∪Je$∪
∃)TIDX*TJ$h&⊃i∧`&∪I4`(Ri48)∪)tP#S)t`"RH4H%S)dh%S*∧`%⊃i$H#∪)∀@&∪I∀@(Si∀0$Rλ4X$Qλd8$SI4`%RjDX$RhTX$Rj∧H'RI$p$∩)$(%Ri40#QiUλ'⊂I4X$∩Itp(S)T`&RI48%∩idX&S	5&UJU⊂&RI∀@%∪)$p&∩I%⊂*∪)dh,U	$P'∀	∧P*∃
uP*VJDx&V+%x*∃JU(,Wj∃λ'TJEλ'∩j5 )∀	eλ%∀
4X'∩i∀h)∀IDp*Tj∀H&∀	e(R
e%∀j¬⊂≡Ohth(∪j∧p,∀j%_&Rie⊂(SI4X&∪j∧`(U*E0&∃	4X(RI5λ*∪Id`*U	U8*T)u_+∀idH#Qj¬⊂'Qi¬%∪	∀@'Rh#P≡⊂λDp$∪	4`&∪J4`(∪*%⊂'⊃j∧x*T
e_)U)cp#∩)%λ*TJ$p+∪	Uλ&∀	$`%Q)4H(Sit@'∪)4P%∩	∧($∀i4H(∩)∧H#RITh%TIt8&∀
e⊂$∩Id`!⊃fs0&T	D0%⊃I∧H$∩)4p&∩ITx*T
TX'∪iTP'∪J$h+U	$h'∪
U@%Tj5P'U
e()∃ju⊂(U)uP,∀j∃(*∀jD`%∪Iu (T
∃(*Tj¬λ'Siuλ+∪Iu&T*¬⊂+∃jDx)U
Eλ'∪J∃⊂*∀ie('∀ITP&∀J∀`&∀JU⊂(UJ5⊂'S)4X'∩jU_&∀
U)∀ITX&∪It0%∩I∀P&QhSx#∩iTx&∀
∧h&Ri4X&∩i∀X$∩	U⊂(∪)∀P&∪)DX&S	4h(∀	T0%RiTP%∩	d`#Qi∀_&∩Hd0%∩I∧P%⊃idP%⊃htH&Q)∧8%RI4`&∀)4`#S)4`#∩	∀X&⊃iTh%∩(th'RλTh'SIT`'R)Uλ%PHTh'Sie&QI%_&∪	E⊂(∩I$H%∩)DX'TJ∃ (S)uλ&⊃j∧X&SId`%∀	tX%T
5⊂'S*∧x'UK∃ &VJ$x*∀
E⊂)Uju⊂%Sj%(*TieH-∃
∃λ&R(tp)∀ItX&∪)u(T*4p&S)U('∃
U_(∀J$0 RjE((SIU*∃*E⊂'∪*∃λ&T
Dx'∪iu(∃ITp*UJe (T	Eλ(S	Dp%Ujdx)U
%λ+Tj5⊂'Si4H%Qi∀P&∪iDP(∩I$(!⊃(40#RIdH%∩heλ)∃
5_%Si$H%R	dh%∀)TH#Q	4h)∀*% $∩iD`'∀
Dp'Si4P&S	tp#∪λTH)S	D`(∩)∧H%∀	t`%Tj∧`'SjTx(Sj5λ'Ri$X'∃H#p&Sj¬ *U
∃(%S*%⊂'S)$h$S∧p'SJ∃+Sidx,TiDX)S)e*UIeλ&T*5_)∀
E⊂*UJEH.∃
∃&∀
¬⊂)SJ5⊂)Uj∧x)T)E8-∀*¬_,T*∃_'∪JU(.∀Ieλ,TJ∃0(∀*$`$R+∀x%∩)u⊂(∩IE()∀*∀h(Si$X%Rj∃(⊃ie⊂'S
∀p*T
Tp'TIdp&S)dX%R
$x#S+¬_(∪ITh%∪	d`&S(d`'P(u%∀J∧h(∩)dx&RHtX$R	∃λ&S	5_)SITP"⊃i$p%RI4@$∩)4P$⊃hT0%∩i48#R	D`'∀	4X$⊃HT⊂%∩*∀h#Qi∧@&QHd %R(dh%S	U8#⊂i$8%∩)∀@%R	D@(∪I$@$∩itx%R
$p%SIt`%∩	tx(∀	U⊂)∀idP%Q(T@$Ri∀p*T*∀x&∪k¬P(∪*Uλ*T*¬8'TK%@*T*∃ *⊗*eX&∀*∃@'UitH%TJ$h(∪)e0)∀J%⊂)TJ¬*∀K¬8,Uj5-U%@)S($h*∀J4p+Tj∃(,∪j5((∀*u(*∪iuλ*∪*u⊂*∪)t@(⊗*u (SJ4x'∀
Uλ(∪jDX&SjDx)U)tX$T
¬⊂*T	4`*∀*∀p&TJ4h%S	$h%SItp&∩I∀`)T)DP%SiDP&Rj∧X"R)∧H#⊃
Eλ%∪
%0"S(4H%∪
∃ '∀	DX%∩J∧h&T
∀`)∃JTh&Sit`&Tk¬_,TjDp'S)4h)TJ$`&SI5λ&∃JTp&S)Uλ(RIeλ'Sid`(Ti4p%S*U_%T
5_'T	e_)T	dp)T
$x'∃I4x'T∃(∃*%λ*⊗)T`)SJ5 *∃Ju %S
∧x&∀
5(.∀It`'∪*∃λ(T*U⊂'∃
U_+TjU)UJe_)T	e'∀	∀8%R)Tp%∩j$x)T)d`'∪j5 (S	∀P&TJ4p%S	U_&SiTP(T	u(∪J∃_(RIUλ(U*4P$S*∀p&S	dP&U)4@&∩)%⊂'∀)t0&S)uλ%∪idH'∩)Dx%Si4h%QHdH%RI∧H$∪I$($∪I∀0%∩I∀@&SidH%⊃i$P#⊃i∧("∂h$ $∪	dh$R)DH#RiTx(RiTp'U	e%⊃HTp%R	∀H'∩J∃()SI∧h%U
$h"QI∧H#R)T0(Tidh)Uj%λ)∩iDh(⊃)∀X(∩htH&R)tx'∩*∃ 'T
Tx)T*u(+Sj∃λ,∀J∃)T*%0+∪	U_&R(t`(UJu⊂'U
E⊂)∪J$`*U*e_&Sj5_(TJ¬⊂)W
uP+⊂I¬_+W
$`(TJ¬(U+E(*∃
5P*Titx*∀
5(,V)Tp(∀J%@*∪j¬_'∪j4p*∃*% )∀J%⊂'∪Idp%∪	e_(T
%⊂)∩j5_'∀	d`&Sj4p$∩λTh%∪ie(∀)uλ(∩i$`)⊗Ieλ*S*∃"Rj58%QI4x%RIU((Ri40$Si∀X%Sj4`'T)E&T	$p'TJ∃ '∃*TH%QI$H&T
eλ(∪idp%R)4P(∀	t`(UIT`&∀J∧p'∩i4`&TIDH(∩	%'S)4`(Tj∃_*∃+∃P*∃J4x)TJ¬X+V
dh&∀J%*∀*∃_)∃
ep,∃K∃_+↔
U(,∀*e)∃*5(*U
4x+∃
E*UJ∃_(V*Eλ)∀ju@*T)uλ*∪J∃*Tidx)U	tP'⊗
U()∃	Th&T*∀h)∀	u⊂(Sj∀8%⊃i$x&VJ¬⊂(∪j¬λ%∩
% (Tj4x%S*%('∪iu_'V*∀@&S
%⊂$S*Th$∪	T`(∀*∃()∀)t8%⊃ht@$SIdp)RiT`'∪*∃(&⊃I∧0&∩)$x&∪)4h#⊂hT8'⊃Id &∪(Tλ%∩	DX#⊃(t`$Rj∧P$∪
58)∪iTh&∩)T⊂&∀	Dx$∩Ith'∩)∧P#SIdP%∩)u@'S	d`(∩	$8%∩Hth'SITH%R(t8$S*∃0'SλU(U	U(∪jUP*∀*U0,∃
5λ)∀
uλ*∀JU8(T*dp$QIdh+Uj58,∀ie(∀Je⊂*∀)dp(∃)th*TJ∃_'TidH!∩i4`(SIdh(↔*Uλ*∃
U8(T% -∃
4x%W*e(*U)E (WL¬8(T)u &T	u@-⊗ITh&∀)e⊂*S
EX(RiTH&S*¬#S)E_*T)TX'⊃I∃&S	4x(T*∀p&∩J$x$Ri4X$∪	5'ShT@!∪)4X&∩)∧h)∪ht@$⊃it`#⊃iDh(T	∧⊂%∪	Dh'Si$h&RI5_'RiTh&∩
∧X&T	%&∩*$h&∃*∀h&⊗5⊂&S)uλ'∩j∧h%∪J∃λ(U	eλ'∀J∀x(Tit`%∃jE'S*∃8(∃ith(∪j¬0-U	u⊂'SjuX)U
U0*SjU((T
¬0,T*5λ,∃j% ,∩*∃(∃
Eλ(∪je_,T
∀`%∃*∃ ,∃K∃ (TJD`$∪)4x'S	5*Uj4p'U
U (T
∃(*∀J4`$TJ¬()Tj¬(∩i∀H*∃Jtp'T
∀h(T)u0,T*∀p(U*u@)∃*UH,U*E0'⊃	Tx&∪J58'T*5(∀	Th&T)Dh'∩J%_)SITX)∪i$@&∪IE)∪	tP&T	eλ$∀*∀X&Si48$RjEλ(∪)∃λ'∪I∧p)TIeλ(∃	%)∃*E_'SiEλ(∃
DX%SJEλ)T*D`#S)u&Rj$p%Tj%⊂'∩	e⊂(∃J∧P%S)dh%TJU⊂'∪itX)∀j∃ /⊗I∧H)∃k%0)V*∃P.↔
u8(Tiu(+Tj%⊂,VkEP*Uj¬0*∩J∃_)VK∃(.V*5@*T	dh*∀
∃_'UjE_)∀J5⊂+∩hD%Sj¬⊂*∪J5@)UK¬_*U
¬ (Rie (S*∀X(∃idx)∃J%)∃k∃0'∪ie()U*5 (S)e_%T∧x%SJ∧p%∩itp'∪)dH$⊃(tX'∪*$`'S	4X%R)∧X&Qi$@'S)dp'Riu&∀IU8'∪	$ $⊃htH&∪	dX&T
e &S	∃λ'∪)∀(%RidX'∪)∀X)SiTp(Si4h'∩	tp'S	∧h)∀k¬⊂(∃*%(&Ri∀`(∀
% (T*∧x+∪I∧H$T
U8(TIU&∀J5_(∀J5(-∀JeX+T)U_)∀)TX+T)uλ&∀j5(+∪I%)Sju )∪Ie_*TJeH*TJEP,∃J5p+T
E('∀	d`%VE(Tk¬λ+UJ5λ)∀
%⊂$SIdX*V
¬λ'U	5λ*U
dp&∃
E_(∪)∀h'Rk⊗⊂)Ri∃_+∪I$X%T*¬_&S*Dx'T)th'T*4x(T)u&U
U⊂*U	Uλ'∀*∃8(∀∃⊂%T	t`&∀	Dh'Vju⊂'Sidp%∪
¬_(S	U_'∩ITH"∪J$x)U
∧h$⊃	¬ $∪	∀X&∪i$H&∪)t@%T)eλ'SJ¬λ)∀
∀x'T*Eλ(∪iTX'Sj∃'∀	u_(∃)u@(∪J%X(TJ$x(∃iuλ'∀*∃⊂)U)tp+U	dH!∩*5_)U*¬(∃E@+⊗
e_'∀+¬ *W+%(+UJDp+U)e(&SJ5λ-V*u_*∃*4p&∃j% *Uje8*↔+e8,∃+E(+∃K5 +↔
58-V	U8&∃UH*∪
%H,∃*u_)∪*UX-UJU0'TIT`+∪iDh(U	Tx%TJE@)UJ%0+∃uH)SiE('U*50)∀)U_(S*∧X'⊃)Th&RJ%λ)SidX%S)∧H&∀)tX$R	$P$SIDh$Qi∧`%∪J%&RjUλ%∩ie8'Ri$P%Rj∧p&QI∀H&∪	dh'RI∃λ%∩Hdp&∪IU)∪*∧x(∩iTH&∀)U (Q)dh#⊃hD8&∪J∃(&SIe⊂*∀	∀p%SId`)∪iU 'R	e'∀J∃(TJ∀X&U+¬($TITp)Tit`+∃j¬(*∀IEλ'⊗
5λ)UJE )∀
5@(SJ$p&∪It`)∪j¬_*∀
5@)RjU8'S	t`*∃Iu⊂*⊗∃0,T*Tx)∀J∧H%T)$h&∪iD`&∃
% '∪	Dh(S	∀0!∪	e(S	4P*∀)e0&⊃)uλ)T	TP&S	Eλ'S)Dh'⊃idh(∀*5⊂'∪JU %V*∀x(U
¬_)∪	U *∀
% "∩jEλ)∪(48(Tidx)TjEλ'∩I4h'RID@&Rid8%S)%λ(SiE0(∪I5⊂&RIth%∪)Dh(SJ¬λ*SI¬_)∪je@%R	DX$S	eλ+∀Ie()SJ∃H(∀J5_)T
5_%TiUλ(T
¬*∪je0)TjT`'∀jdh(∪i∀_∨P)E()∀
∃((∪+∃((∃+5@+V
uh+Tk%8+∀jE0)∀¬(*T*58,∀J5⊂'⊗juP+U
%_,V+uh-Uk%X-Wk%_)UkuX(∃J50-∃JUX,∃∃@#∀E,∃jE(,∀*u⊂'∀jEX+U)4P(∃
dp'TiEλ'SJTx)∃
UH,U)u@'∪iU()U	U(∪	%⊂'∪(tH)∀)tP%⊃*Dh*∃	dP$Ri%_)Si4x$⊃hDp%∩)Dx≤LλDH$Sj¬λ'Ri∀h%∀*∧@&S	d0$Q)∧@#T	DX$S*∀X&⊃htX$⊃he'∪	Tx&∩)T`'Sjdp&S*∃_(∩jtx)U¬%U*5_*∃ITx(SHtX$SiU 'S)eλ%S	Dx(SI∧`'∪*50(∩*∧x'⊗)e0(∪)dp,V*∧x)∀
5_(S	E_(SIE (∪i5_.∀)$0'∪Id`(Siu⊂*∪JU*S	%(∀IdP%U	U)Sj∃_*∪Itx)T	$p*∪j∧X&∀itp$∀)T`'∪	E⊂'S)%_(R)¬⊂(∀)$P!S
$x&∩i∀`%SITp$SIUλ'UJ5"RITx&∀)e⊂)∀Iuλ)Tj5_$∪J∧H%U)e_(∃J%0)ThtX'∪jUλ(∪j∃⊂+∪IE_,∃jTh$⊃idh%∃Jdp$S)$p'∩hd0$⊃i4X'∩	th%RI4X&∀Iu_)Ri∀`(∪	u⊂*SJ∃λ(∪J∧p'V
¬8)⊗
dp'V¬_-UJ%()∃J5⊂%∀%8+U
$p'U
∧P)∪	58)UjDP%RIu⊂)TJ4@&T
%8(∪Ju⊂(V
u0.U5λ%∩IU8,T+¬8+∀K%0*⊗∃X-↔*dx(∃ju((UKuH(∀jU0+U)e ,⊗JUH+U
u_*W+UH+↔IT_(∃*E_.UJ% )∃juλ*U*$p(TIT@(⊗*u(&Tiu%UjEH)T*5(,T*%H*∪idh&S)D0&U)4P'T	Dp(RiTX%∪J4p)TK∃ (U
$p'S*∀p(∀Id`%∀*∧ ≤Kh∀`&∪)∧8%RIdh$∪I∃λ$∪(tx+∩H4X'RHdx(R(t8%∩)$`&SIDX%Rj¬λ(S
∧`&RItx$RIe0*U
$p(∀
¬λ)Ti%_(∪ie_)∃*50(SIu$Riuλ)∪	DH$∪IDx'∪)tp(∀
$p*U	tp)∀*Th"∪Iuλ)∀	∧H(∀	u*∀I∧`&∀J$x'∩Jeλ+∀
¬_,TIuλ(∀	uλ+∩j∃H)T
∀P%∪
%)Tj$h%S)u⊂&∀jU⊂#∪)u⊂)∪*¬_)∃jTx&∀U %R*∃P)R)40%∀
∀`&SJ$p%T
4h&R	Dx&∪i4`(UjE_*Sj∧p&∩Ie &∃
¬_)U*∃ +∀jTx*∃J∃_'SJ%)SI%⊂)∀J$x(TIdx*S)TP%TJ$x(SI4p&QI∀p(∩)∀@&RIe0&S
% '∪i$8%∪ITx%∪J58'R	%λ)∪J¬'SJ∧x(∀)u(,∃
U8'∃J%λ)U)tp)∪
¬((TIdh&Sj%('TJUλ*TJ∀p*∪	E⊂'Tj¬λ+∃)D`'∪jU(∪	5⊂,TjuP+∃
%(,V+U0(∪	tp*∃J¬)∀jU⊂,∀
50,∀)u⊂)U
∃*V¬ ,Tj∃8.⊗
E()∃*e⊂)∀*∧h*∀)¬@*⊃(dp)UK¬8*VK5`,∃J5@)∪ITp&SJ∃_$T
∃_,UJu8)∀
u8*∀
¬+UK%P'S
¬(SJ$p&∪)E_%∀	48$S)E⊂'Rj∀X$S	dx&∪I48$∪)D (∩J¬('∩I∀8≡
I∀P$Ri¬(RI∀P%SλT@$RitX$∪i$x(∩)dH&∀Idp#R	$X%∩IE⊂)T	4`$∩i4`&S	4X+∀	D8'∩	D`(RIu⊂(SiEλ&RIu_&T)4p(Sj∧X&∩I$h%∪Itx(SitX%SJ∃((∀je (Ridx(⊗
¬0)∃
∧P)∀	dh'∪ieλ(SI5&S*∃λ'SJ% 'Ri4x'TJ5 -U
∧x)TJU8+∀j4h&S)U⊂'∃*4x'T)e_(∀)dP$Q)4X(SIU&∃*∧P%R)E⊂&Rje@*∀J∀p%∪i$8&SId@%TitH%∪jT`&∩j%*∀IT`)T)u)T)Tp(Sj∀x)∃*E(*Tj4h*T*4X%U
∃(∩)Dh'T*∧X(T	t@(∪JDx(⊗
4p'∀ItP&∀	dh%S)4p'SID`%∪(d 'S
5λ'RHtX%Riu0(SI$X&∪iD`*∃*Tp%∀)∃⊂.SJ¬λ&T*E *∀J∃λ)U
Eλ(U)u8(Sie'T
∃λ)∪	4P)TJ58*TI∀x*UjE0*T+¬P(TJe(+Tj5_)T
∧p,∃jUλ)U*∧`*∃ie_*∃∃_+T+58-⊗*58)SjU⊂&Tk¬_-↔
%⊂+VK∃_-⊗k¬/∃j%8)U+∀8 Q)e)UjeH)V*50*∪
∧x*∀JU@(S*∃λ(∃J∃()U	u⊂+∪*eH,∀j5_)UJE&∪	4p$Qj∃⊂"∪)$x&∀J∧x'∪j∧p'Sj¬λ&Siu&∩I4x"∩I4@&S)∧`'RλDp#∩	tx)∀)T`#∩I4x%⊃i∀H&QI∀8#RiEλ%⊃i4`(∪	e⊂(∪)4h'∩ITx'RIEλ&∪IDh%∩Hdh&T	DH&RiTh'TI5 )∩I4h'∪idH#Sj∀h%∩)Th"∩I4h(∪j%⊂'∩idP)∃*¬λ'SiE_(RIE⊂(∪ITH(∀iTX&∪	$P&∀	$p*U)u'∪i5_,Tj%)S
5_)U*EX*U*tx&∀
∀p%S*Tp(Siuλ%∀	eλ-VI%&TIDh(RiD8'∪Ie)TItH%RIuλ'Ridp$S*tx)∩)Dh$RHd8&T)%)Sj∃%∀	DH'T
∃)T)E⊂*VJU⊂)SitX&T*e*∀
∃λ)∃J5λ(U
u_*S)u⊂)∪)t@%∪id`&TJe )TJ∃(TIU%∪j4p&∪IDP'S)4`'SI∀h)S
∀x&∩	∀@)∪*Eλ%∃J5λ(∃
∃⊂)∪J∀H&TJ∀X+⊗
¬_(S*58-∃
5λ*T
E )∩j∃⊂+UJdx(SK¬ )T
4x(Tiu_*∀IE(U
5(-U¬8*U*E00Vje .V
∃(*U*E@)∀JU)⊗*$x)∀I5(∀JeH-V
5@*TIe⊂,U+∃λ,T*$p-Vju +∀JDx*V
$x*⊗JT_ Tj¬ (U+5('V+¬`*∀
¬((T)u )SjE(*T
% *∃j¬8)∀
% +V
eH,UK¬⊂)SJ4x%S*∧x(∪ITH&Sj∧X%∪i4H$RITX#Ri$`&R)4X"SIdP"⊃iD`%Q)D`&Ri∧@%Q(d@#Ri$x'∪λth&⊃(t`#R
%_%Ri5λ&∪)∀8$∪I∃_)∪
e_)Ri$x'∃JDp(T)dp&SJ$x&T
∀x&U	u_(SIT@'∀	tp*∀*$x)∪It`$∀	eλ'∪)E⊂&RjDp(∀
Tp*TJ¬⊂&U	$x'∀J∧x(∀idP(T
50'Tj∧`*∪j∧X$SJ∀p%∪*$x)∃IT`)∀K∃@(∀itp)TJ5('∪Ie&T)4`'∀*Eλ)S	uλ*Si$h$∩)t`%SiDP(∀*∧h+∃ju*∩IdH%S)d`(∩idx&SiT`#T
¬λ&∩itx(∃J∀h(TjU0(T
¬_*TjTx*∀iU⊂'∪*¬λ)T)u +Sit`(Sj%8*T
5_%W
%λ(∪j¬λ(∀idx&S	∃λ(T)e %∀
dx%∪iU_&∪	Tx!RI∧p#⊃i∧H&∪h$ 'R	TH(∃K¬λ'∃	Tp%∀JTh%U	uλ*∀jDP!SIu)UJ5H,V	Tx(⊗JU0/U*E⊂+UjU 'SjDx%TIe8)∀*¬⊂*TK¬⊂'∀Je()TjE@+∃*¬ .↔+E )U
%⊂'RjDX)⊗*∧X&UJ%λ&RjE_(∃)u(,UJUX)∀J¬P-V	$p+V%X*∃*58*∀j5@$T	∀X-↔*Uλ,TL%X*∃+Eλ-∃JU⊂+∪j%_'R	∃_)∃
Dh)∃k5H)⊗k%h'T+%⊂+WU(#∩)tx'∀)th'SIU *T	4x&RI∧P#RID`%R	∀h&SI∀X(∪)T@#QiD`%R)D`#⊃)$ $S)∧`&Sj∧x%∩J∧x)∩i4@&T	U %∩IUλ%∩
∀x#R	dh"Qi∧`&∪)u_'T)U_*∀)Dx(∪IU_%RId`&∪J∃&TJ∃(%S)dP*∪Itx)∀it`'SI5 *T)∀@%∃
U (∀)u)RiEλ(T$x'∀J∃((∀*∧x+TIdx&T)u⊂'S*∧x*S	Dp'T	∀`&∃
U(+∃
5@'∀+E@)∀K∧x&∀*5_,Uj$h*T)u0(∀*%'T)u '∀	uλ&∪j∃&T*¬⊂&TiTX'U	tp"⊃)u⊂&S)Tx&Ri∧X(RJ¬0'SIT`(∪j∀x*∃j4h'∀*∃⊂*VjU_+∃K%(,T*EH+∀IU +Tj∃_*T*E_)∃*tp(TiE_(∀
∃ )Sj¬λ'∪IDp(∪(t@(∀*∃λ#RIeλ'∀
∀P(R(∀p&∪)$`&Uie )V∧x&Si∀H(T
¬()∪iEP'∀
∃0'TJ∀h(Tj%+∀*∃@)UJe@.∀J%0*SJ∃P*S)e_+∀kU`+∪)u(*∃*U_(∃*%,Tj%'∪*5_(∃+¬0+⊗*u()∪
5_-∃
Eλ(∀*u_+UJU,Sj50(S	dh)∀k5H+⊗
U@+∃k∃P+Vu0+∃k¬(-∀)uλ#Q*∃0,∃j∃H*⊗JEλ.∃+EH(T
50+V
%_(∃
%0+∃J$x-∃juX-U
5(W5H,∃k%0(S*∀h&∀)t`'∃
∃'∪I∃⊂(SJ$h'∪J∀X&Sλdp'∪iDX#S)∃λ%SI∧h(∀	$@'RI∀8$∩	∧0#Qi$`$Q)eλ+∀	∀p$S)$x)∪I$H$SJ∧`&∩)%%∩)tx#RIU_&∩iTX&∀J$p)S)4h'Ri∧H#R*∀x)T	$P&S(tp(∩*¬λ)Sj%λ'∀I∃(∪j∀p+∀jdh'∪J58*TIe '∪	TX&Si5λ(Sj∧`&T*E@'∀	$P$SIEλ'∪)u )Tj¬_)T)u⊂&∀*¬8+∀jeλ-TKDh)∀
∧h(Tj%(∃
∀x*∀
∧p(S*∀x'S)u0+∀JUλ'∪idP%S	∧P(SI#x~Q(u&∪i$h%∪iTH$SI4`(Tj%_(∪ie⊂)∀ie(∃*u8'U
∃H(∀*5⊂'U
e_&U	u8)V
e_(U*∃@+SITh*Tie-VJ∃'∪iTp)T*∧H'∪ITx&S)4`&∀
∧x'∪iD@'∪)dH$T(U0,∀	Dh)TJ¬+∃*dp&∃id`'S*∧x&T
U0(SJ∃λ&T)tH'∪	U)⊗Ju (∀K¬p(T	5λ*VJE`0∃J∃0,∀
5⊂(Tj%(*UjU8,Tj∃ )∀	eh/∀
∀x'SJ∃ '∪*∃8*S*¬X*T	$@&∩jUH*Uj∃0)S*E ,⊗+%_,U*UH*UK5h+∃JU@)U
%_*∃Jt⊂!T
U0*UK∃8.UK¬_(U*∃@*∃J% )S
%8)∀J5λ*TIu*VK5h-Uje_(∃J%H(∃¬P&∩J∀p%T*∧P$TJTx&Si4x&S)Tp'∀J∀`'T	D@$TiT@#S)TX$R	U'∀
∀x$⊃i∀h$∪)DP%∀	4@#R(d8&∩HT@'UIEλ(SI∧X&T)th$Sj∃)∪I%'TI∀X$∪	4h(∪)DH%R(e⊂%R)Th&∩Ie_'RIe_&R)Tp'∪
4x&S	u_)∀)E(,T*E⊂)⊗¬_*∀jU +∃
50&∪j$P"∀K∧h$S)T`(U*%(%Sie (TK∃0%S
5_&∪*∃⊂)S)t`+∪ieλ,Tj5_*Uid`(V
e⊂*∪jT`&∀)e⊂'R)e0)∪iDx'∀Iuλ'∀*E⊂(S)¬λ&∪J∃)ShSP!Rj∧x&RIE)∪)$@'∪i∀`+T	U'∪JTh(S*Uλ+∃+∀x'∀
∃ *U*E *∪iD`&∀J¬_(U*u(,∃JDp%S)T`)U+¬0'V	uλ*U
Dx'∩idx(∪I∀x(∪Iu$S	Uλ'∪	U⊂'∩	∧x&S(dP'∪I4P(∪J∃⊂'Rj∀x)⊗
u8)∀*¬@*∀J5X,∀)5'Ri4h&TJ∧x%UJe0)SJeλ)∃*U⊂(∃+¬0,∃)tp'R	Tp,∀*50,∀
Dx)V+%P+S	u,Uk¬0%SJu8+U%@+∃j5⊂(∪id`)S	u⊂.T	th&∩ju +⊗%H+∃*%p-UKE`+U
eH)U+u@*T(D 'UK∃x,V+∃@+∀J5λ*TjU-∃j4x%S*∧H)∀*u%Sj∧h)TjuH&U
¬@*Uju_.⊗k5X)∀J5λ&SIeλ&∩)D`'∪)$0&∩	∀x$QId@&S*∧X"∩HT 'T)d@#∩*T`&SIe'∪	∀x&Qhd %S	D⊂$⊃iT`&R(T@&∀*∃&∩)e&RIu&⊃iTh'∪)∀`%∪iDp%TIT`'Tj∧`%Siu_(∩	$x*T)dh'RJ%0(Riu_&∪jE0'SiTx(T)e()∀)u_(∀5_(S*¬λ'UJ5λ(U
u_&U
dh&Sjdx(∀j∃λ&∃*U((∀Jdx'∃*4h%S
%_,T	e(∪
∀x)UjU *V*U⊂)Tj¬⊂*∀J4x(∃*¬()Riuλ'TJ∧h$∪)U0+S*∃_&∩	$h$Rj%(∩πtλ$∪*∧8%Qi∀p(S
%⊂*SI∀h&∪J∧h%∪J5%∪k% +↔J$p*⊗
$x(∃jEH)SJ∧h&∪iU)T	u_-∃*5(*Sj∃λ*Ul∃_'∃*% (T*∧`(T*$x&SIt`%∩Ht`%∪)Dp&∪i∀x#∪I$P%SIt`(∪J5_%Sj5⊂'S)E(*∀k∃)∀
e@*∀*E@)UJTX$∩)DP&∪ItP%∪Itp(∃it`)∪)Tp(∀JE ,U*tp&SIu0+VKE⊂)Sj¬ (∀J58(U
U(*TJe0'∪+∃_)∪J∃H+V)u(*VK∃ )∀IE+∃J∧p&∩j¬@(∀*UH,_j%@-∃KE8,∃*%8,∀jE_'⊂λ∀h(V*u8*T,∃h*T)eλ*⊗*∃(-U*Uλ&∪	4h'UJ%0)∃*%_*⊗+5@'∃kE)∃¬8,UL5P%SI$@&∩Idp$R)$H'U)Tx'Qh∀0$RI∀@$∪	∧x$R	4H!R	48$∩	dh%∩i4`'∪	DX'⊃IdP%∪I∀H$∪)%&∪Ith&∪)DP'R)Th&∩I∃λ+∪)Dp&∩
∧h(SJ∃(U	Dx'∀
$X'∀
∃_(∩*%⊂(∩)∀X%UiE8(∪J∃⊂%RI∀x&RHTx&∃
%0'RIdx&Rj5⊂'Sj∀h(∩j∧8(Uj4X(∃j5λ$Sj5_%S)$p)S*¬λ)T
u_)T(d`)T*E,∀je8+T*¬P)V
4x(Sie*∪*¬λ(S	u((SJ∃(+Sitp(R	5_&∃)D`'∀*∃8%S	DP$⊃i4X"∂g48'S(tp%R)$8#⊃ht@"Rie⊂*∪iDH&∀)Tp(TJ%X,Tj∃ )SIeλ'S*U0)∀
∃@)VJ%λ'∃JUH'SJ50)∀j∧x+T*E )∪J5@(S)D`%RI5'T*∧H'T
5_'U)∀h(Tid@%⊃j¬λ'R)t`&T)u8(∃+∧p(TJ∃ )W∧h%T)eλ.∃Jth)T	tp(∩j¬ 'RJ¬_(SIu(+UJ¬8'Tj∀h(T*Dx*∪iU )⊗*u8)T
e⊂%TJu8,∀
∃ 'Siu0)∪j∀P'∃
u(*U*%('∩itp*U
U$Qj∃_.∀K%_)UK∃()W*∃_+⊗*5()U
d`-Vj∀x)∃*tx"T¬ +_*e(*W*%((U
%λ(TK%⊂)∃Je@,∪je((∪iU_)SK%⊂*⊗Juλ)V¬@,W,∃p-∃k%⊂'∩I4X%QiDP%R	∧`&Tiu⊂#R	4`&R)∀λ$∩	4h$∩(t@'∪idH%∩)5)∩id %∪	4p#QI$@&SIdX%∀)$`$S)tp'∪J∧p%∪I4@$∩(u&Si4x(SITP*S	u⊂,V)d8%TID0%RiDX&∪ItP&S)uλ%∀	∃(∩j5 *∀IU((Ri∧X&SjE0'∩	Th%TJU@,∀IDx)∀)u_+TIdx'∀J∃8(∀IT@(V*¬λ)∩j∃_(∪j∃+U*4x'Sj∃⊂+TJDh*X%⊂(SiU⊂*∃Iu8)S)TH'∀Iu(&∪J%(QH$`(T	eλ)∀i4(&∩)dX$RI∧H&∪)D8"⊂(d@&RI4`%R)$H$⊂Ht@%∩)Dx&∩iTX'∪*58(Riu0*∃JEH)TjE(+∀
e((∃JE0&∃Je_)U
¬λ(UJ∃0)∀*E +T*Tx%U*u_)T)dx'∪jU0*∀)$H*R*∀h%T	∧@%∪I¬&R	tX&∪Idp%Sie0)UK¬ (∃J50)U
%⊂(∀jth)S
4X&Sk∧p&∪
D`&∪
U_*∪j∃'↔*U()Tj5,∃
eH.∀*5*⊗*eλ)∀J∀X+V
∃8(⊗*U (∃+¬+∃*Eλ+∃
u⊂*∀j4x+∪iU +TJ%⊂,TJ%(∪)tp(∪J4x*∃j4h(U*∃_)Wje@+VIth'V	d⊂&VJux/W*E8+∃JEX*U	eP,∃j%8)UjEλ-∀∃⊂)∪*∃@)T*UP,Wk5 *∃jeh*UK58/⊗ke`'∪)dh)SIT`'∪	∧X%∩Hd@#S
∧h$R	4x&Rλ$λ≡∞H∧("T*∧X%Ri$x'T	∧ '∪iTp$∩(t@$∀
$8%∪λTx'∩*∀@$Si4`'∪)∀8#RJ∃'T	u8&SiTx'∩i∧@$Ri4`)∃	Eλ&Rj∧x%∀
u⊂)∪iDH#⊃)∧@(∀)tX&∪iu8(⊃I5λ)∪It@$Tidx'T*e&T
¬(*∃
¬ +∀IU .U
e(&T)tx(T)Dp)T*¬P+T	%+∃λtP'∃	e_(∪I5λ*UJu⊂(SJ%('T
∃λ+TIt`(Tj$h'∪JU_)SJ¬λ(T
Uλ'S
¬H*∀
∧x&S	4x&Ri4P#P(T $S	∀h%∩ith&T
∧p'T	tp+∪)4p,TJEλ*∃
¬h)Sj5_(U)U⊂+T)u+∃JUλ*∃j5 )∀*E⊂*TJE (TIU_*∀)u-⊗%H(Rj%_)∪)uλ%S	eH)∀i5(SIDX&R	E0&SITp)S	U⊂&∩iuλ'T
∃⊂(U)u_&TIdx&∪*∀X(∀*%(+S)dx(T)Dx(∃	u0.UjU(+∃*5⊂*∀Je(U
U (Sj¬H+S*%0'∪)EH+∃j∀p'UJU_'∀jE8*∃
58+∀*%0)T*∃0+UI4h,∃	tx*UJ¬((TJU(*UJ4p'Tj5⊂*⊗*U((U% )∃*Uλ'Rhu⊂+∀Idx-T)u -Uiu ,⊗*U8,⊗
E⊂+V+50(U*dx&Tke()∃ju(0Xjeλ+∃*E`+⊗
vλ-Vk¬(&T)4X*∪*$P#RJ$P&⊃)Dh(∪iT(&∪)U%QλT_∨Oπdλ%ShUλ'Ri∀@#Qht0%S)t`$Qi4H%T	Dp$Ri4p$⊂IDp(∪I$X%∪	4h'∪iDP%∀)tP%RJ∃ 'Sieλ*∀	Tp)∪IU 'Siu_&R	e8&⊃)∧`$Qidh&∪IEλ(∪J%(∀J$p%∪ID`%∪IU_+U¬0*∩iDh&SJdx'∀jU0*∃J5_,U)% '∪I4X%∪)U⊂(∪*Uλ*S)$x*∃jU8)⊗*50(V)u_(∀JE_-∀)tx(V*∃λ'SiTp+∃
¬8*TjE_*TJ5 'R	Tp'T
∀P%∩	$H%S
U$QλD(%RiDh'∩i∀P%∀	d`'∩i∀X&Sj¬(∪*% (∀*¬8+Tj58)SIdx-UJ%@(∃
u0*∩iE_+∃*5 'S*E &∀Itp&T*e)V
E_(T
∧H'∀
%8(S)DX'VidH%S	Tp&Q)∀p(S)Dx*∩)d`'∪j%*∀j∀h&∩J4P)∪ie +Uj¬_(⊃j∧x&∀	uλ(S	eλ'TK⊗λ*T	Dp&T)u0+Rj¬λ)∃je_&∪ju_'RJ¬λ(Tλu(-⊗
E *∃J∧x,⊗
tp(Uj%(∪J%⊂+Tj5⊂'∪
%((∩iu8)∪J5λ$S	u0'Tj5λ-U
dp'UJ∃)UjU0&U
∃(#⊃Ith(VjE0*UKe8,∀j5λ*Uj%+VJe0)VJe⊂&T)4X(TJeh+↔*UP/⊗K5@,V+6λ0V*u8,⊗Ux)R	Dp(⊃H∀H&RI$P#S)∧X(∪)D@#∩id`%S	TP#∩Hd`%∪	4h&Ridp(∩(d %∩ITx&∪I$h)Ri$X&∩λtX$Pi$p%⊃idX$∪
$x)RHdh'SiE0'∪)∀x%Rie0(Sith&∩Hu$R)∀H(∪	U$∩IDX&∪	dH&∪	DP(∩iu(+Sidx(T*%_*Tjdp(∀i4`(∪j¬λ)∪J4x'S
dx)∃
∃_,∪J∧h'T)u)UJu_(∪j¬H,T*E (∀
%0,∃K¬_+⊗JE⊂)T*∧X(⊗
∃H(∀	U(*∩Ie (SJU *U	$h+T	u_)∃
∀x)∀IdP%RI4h$RJ∃⊂%∩iT($R	4`(SiDH$U
∀P$R)∀h)Sj∃8*∃j5&T)u⊂)∃je 'Sk¬0+U*4P+U
∃ +∀j5 ,∀j4x)∀j¬)UJ∃)∃*Th*VJ$x(RiTx+∀*∧p*TgtH%S
Eλ'T	48&S)d`)S
¬ )∀K¬P+∀*%⊂(∃JUλ%RiE(∪J¬λ*∀It`%∪
5λ)∀
¬X)U∃x+∪J%'RiTp'V
E'∪)u*U+∃8*∃K∃ (TjU0-W*5)⊗IU⊂(U*U0+∃)U⊂)⊗*¬8)∀j5⊂(∪j%λ(∪*E_)∃J∃⊂(T*%8,U
∃)∀*tx+W*%λ)Uj¬X.U*$p(V	48&TjU )∪iu )∃Jeh(TK∃_-VIU0'U
U0+T*%⊂(∀*5@(∩iTh,↔ju@,WKελ+VLε.∃*¬((XK∃8%∩I∀h%Q	∧@'∩i4@*∃J∀x%∩idh%∩	tP'QI$X$∪I$`%Rith'QI$h*∪)∀X&T*∧P&S	4`)∃i∀p(R(4("Q(dp%RJ∧x$⊃i∧0(S	TP&S	∧P'S)Uλ&S
∧P$∪iuλ#∪I∀h&∀i4 "Riu('∩I∃(%∩J∀p(T*∧@&∪	$p+∀IDP)∩idp&∪j4x(∀Iu⊂*∪iuλ(Sk¬(∀*%⊂,∃
¬x,∪Ith)T	Th%S*%_+⊗U +∀*E⊂-SJ%8-Uje (∃kE@(∃J∧X%∀*u0(SJ$p)Sj%⊂'T
∧p$RI∀X%S	∀x&R	∧H$∪IT`#∀	tx$QiD`&R)4x%Ri4`#∩)4p'∪iD@'⊃htx&TI∃0,∀ju⊂)∩*Eλ)U
5_&SK¬_)∀*U(+V+EP*∀*%8+∃ke((∀j∃λ)U)e(+∃
4h'S	TX'Ujtx(∪ie)∪)e⊂'∪JTX#RiU&SItx)∩i4h&S*%*∀	e((∃
∃@)∪j¬λ(Rj∀`'∃)u'∩
5⊂(∀jU⊂'UjU(*Tjuλ)∀*Dp)∀ie &Q
¬λ)∀*E@)∪)Tx(U
¬λ)↔
∧h'V%0.∀*U⊂,Uj∃_)T*∧p(T
$p*∪j%(+∃*%_)∩)Dx*∃
∃ *⊗*¬λ'Sje⊂(VjE0*V
5(*∀Je )Sλ∀@,V*4h&T*U_,∃+Ux*∃K∃H*⊗k∃ )∃ju8)U*∀x'Rjdx+∀
$h*Y∃`,WK%H*UK∃h+Uie8+∃K5P'∩i∧X&∪iT@(Tj∧X(RI%λ(∪)Tp&∩hd`'∪J∀p'S)d`&∩i4H&∪	$x&S	4x'⊃IDh(Sidx"RITX&S)∀0%R)∀P$SJDh"RλT_$SiDP&T)4h&Siuλ#∪
TP!Q)Tp'SID8$U
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∀P%∀
Dh&U*Th%SiE(∀
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$x(∪ITp(UIDX&∀J∀x*∀
¬λ&U*e0)U
U (∩j∃X,Sk¬(*V
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∃⊂*UK∃H)∀
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∃⊂*∃*U⊂(∀
5 )⊗J∃_)S	∀X'U
¬()U)tx&∪j∧h+∀jE &R	E0+T*∃P)∀j∀h'∃
∧x'∀*eλ,U*u_*U)u*∃J5λ$∀
u⊂'U
¬0,SIUλ(∀jDp(∃*U(,⊗
5λ)↔∃_,∃jE %∩ID`(↔*E(*Sk%_/_+u`,↔k¬ (VJ∧x'S
E((∀J5(UJu0*∀)uP/V
58+∃+5P-VK¬X-VK∃@,X
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5 )V
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%_+∃)tx-∀
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5_+V
u(+VJeH*∃JU (TiU*U
e((TIu8,∀K¬8.UjU⊂)U
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∃8*U)th'∪)Eλ+∀)e_*S*$p,TItx(∪j%λ(∪)th*U
50∪hTP)∀iDh%TJ$h(T	DH'∪J%&Q	%*U
5λ+Tj¬8+∃K¬ )∃*u )∃J$x)∪j∀x-T*E@)∀*¬((U+∧x&U
¬@(∃*eλ-∃k∃_)∀	Dx'∀+¬@*Tjt0&∃j¬λ*⊗J∃ )∪Ju8)U
E0*⊗jE_,∃*eλ*∀)e_,∀It8'TJ∧p)⊗
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∀p&∪J∃_)Ri$8%Rj$x#R	Dh&Ri4_&∪j4h)S)tx)T*%&∪J¬_)U	Uλ+U
∃λ(∃)dp&R	Th*∀
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∃⊂&TJ∧x'∀JUh)U*uλ(T*5λ)∪Je0*TjTp&U*%_+∃*¬()T*%⊂$Sk∀p&TIeλ(∃je@+∀*∃H)∀ith%∩i5)TJ∀h*∀j∀ &∃*Dx+⊗
E8-UJe8*∀I4x'∀
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∀h'Rj4X$∀
$`(TIT`$Ri$P)∃IDX&∪	T`(∩i$p)∪ITX%Rj%λ%∪j5⊂%∩J$X%U	dh+∀j∃_(∩jE_,∀
E(∪ith(∀IE_)TJ∀h'T*%()∀	U (∪j5λ'TJU⊂+∃
ex*T
5+T*e)∩hT0)∀	4x%∩IT`&UIt`(∪I4p-∀JU('R)TX'∪)tp*T	dX&∪
4H&∩i∀8$Q)∀@$∩hdP%R)∧0$R(d(%∀)tx'∪ITx'∪IU()∀
U_'∪je0,∃
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∃_(∪
∃0)T
∧P'S*E⊂'∪*∧x(S)u)∀	∧X(∪J∃0%Ri4p'∀*U⊂'TJ∃λ)∀
E0&Tj$x(TJuλ(T*4p)∀*4P(U
u_+∃K50)SiU(∪
∀p'T¬@*Tk∃_'SjU8)T
5λ*TK¬⊂'SHt8,Tjd`)∀Ju((Tje8)Tj5,∃*U()∪Ju((⊃Ht`&UJ∃λ*∀j¬_-∀+UX)Tje_)∀jEH(U+¬@-∀IDp)UIu0(∃¬P,T
EX,Vj∃@,∀k5P/WU@)∃l∃h,XeX'S)D0$⊃)$p∨SIt`%∩j∧x&R)dh#R	4`'∀	E0$∩i$h%∀)DX&∪	tp$RHd8%∩)4@%⊃)$P%QI4p%∩I$X(∀	Dp$QhDP'∩)∀H'∩iDx'∪I∀X'∪ith$S)d8&∩it`%⊃iTP%SITx&∪J∧p#R*∧`+∀	TP"QIdx&⊃IdX'∪i4`&Rj∀`&∩)uλ+S)∀h)∀*5 (∀je (U	th%T*Eλ+TjU &SI¬⊂)T	dx(∪Je8)∪Iuλ-∃j5_%Qi4h&∪J5(∃
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E *U
5⊂&T*U⊂*∀ieP*U∃(+UJ%H*UJ∃@,⊗JU@(TJE8'Sj∧X)∃jU_(∃J¬_(U*e⊂)∃
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e_*U
e (∀JDp$U
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U (↔
e((∀kU(*V
u⊂(TJ%⊂&∪iE⊂(∀)∃(&∪K¬h-WL∃p0UKep/⊗%8*⊗KE@-→+UX'∀*∀P(RJ∧p#QI$8$∪Htp%R)48#R	4H&∩i4h$∩i$@#∪Id`)TItH#Q*∧X ∩(tH#R)∧H$∩λd($RHtp'S	D@$RITp'Rhth'Q)40$RITp%RitH'∀Idh'S*5&S	4p*∪idh+T	t`$U)T`'Si∀`%S	Tp(∪J∧p'∩j¬ '∀Id8'∀	DP(RjE_)RJ∃λ)TK¬(%SJ%⊂)S)u *TJ∃_+S)Th'TJ5⊂)T
∀p'∀j4x)∀)u_(R	∀`(∃*%_(SIEλ'S	5λ%∪Itp*∀
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¬λ+∃juX*⊗K¬8+UJ%()∃K%@'∀j∧x)Uk∃@,∃K¬⊂+∃jEλ'∃K¬0(∀j%λ'VJ¬ )UJEλ-Uk¬⊂(S
∀`%T
∀`&TJ∀`(∀jE⊂&UIE_)SJ5⊂+∃
∀x*TjT`&∪*$X*⊗
∧x(SJE_'∩*∃0&Ri∃&∪JE8(∪J5((T	5⊂.∀)%λ)∀jE8(Sj∃λ(RIE+U	u(*∪Ie⊂*T*∃_(U*%_'∀j¬ (R)5(&∀j∃0,∪iUλ$SKU *SJ$x+S	tx)U)T`&U+%0+UJU +VHt()∀J%((Uj5⊂*↔
u⊂+∃)th)T
e(∩j∃('Ti5(,Sj∀x*Tidh%SJDx'⊗ku00⊗J5H.Ul∃8,W¬()V*5H,V+UH%V
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∧X(∀Ith(∀)U_+∃IE)SiTX(T*$p&Sj∃%S
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∀8$Ri$λ"∂eC0≥⊃I∀0 ⊃λ4(&∩)Dx)∀je⊂'SJ5_)∃*uX(∀IDp(⊗*eX*∀jeλ'∪k58-V∃ *⊗*E@/∀J4p*∃JE +∃*U0+V+¬((Tk¬(+V*e0)UJe8*∃*U⊂)⊃I¬ +∀	uλ(S
∧`(∩iTX'Rit`&∩)∧p'UIu *T
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Dh+∀
∃⊂&T+∃(*TIdh&Tiu⊂*∀*50+∃*∀p*T)u'V
u(+Uk%((∩j%H'∀	u0-T*5(+∃K¬⊂+Sλtp+∃+%⊂-∃Ju '⊗
uP+∃Je@-VK5@-T*∀`*T	E(U)u+∀Je8)T*%()∀%x-U*Up-VJ58-WkEH*⊗
E8-∃je8$∩J∧X"S	dP$∩	∧X'S	$X#Q)$`"QHt8$S	∧X%∩)48%∩(t8&⊃hT #∪I48'∪J∧h&⊃(DP(∪λT0$∩ITX%RId`$∩λ4H'∩πt8*T)Tx&∪j¬_'SIDH'∀
$x'QIdX%RI4`'T	$p'S
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% *T	e0(UJ∀X&TiE'∀JE_,∪ju(,∃iu⊂(∪iu(*∃
∀@$TI4`(∪iU)∀J5X)∩j¬(∃
4`$T
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u8.∃*Uλ+UJUλ+∃kU ,∀*5⊂(⊗k∃@)T
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¬_$∩λt`(∃J$x(T
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4p,U5⊂)∀*∃H&SJ5 )TJ5λ'⊗juP*∃
e_+T+5P*U
u(+V*e`,Weh.⊗+%P*Tk%0$S)tx"R)∧x$R)d`&S*¬_$⊃iDX%∩)DX&∪
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%H)∃*∃(,∃*EH'Tk%H*∃
¬@,⊗
u(*UjUX*Tj∀x,TK%λ+↔iu )V∧p'T*dp&UJ%⊂'SIU⊂'∩i5λ&∩(t`)∪iU8'SjE8'Qi∃_)∪j%()Uj$h(∃Ju_%∪j¬@*∩itx&∩	$p(R)∀x(UjtP%SIDH$TJ% +∀*DH'U*∃_)∀	U*TjE8*∃*eλ(⊗
E⊂,SJ¬)∀*$p(TJ∃'U*∃_)∀	u (∀JU&∩	%%∀*e_,↔ju (∪
%λ%TIu@*V+%H,∃jU0)U	4@#∃
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% )∀Je_%∩JE_(∪	Dx*⊗
∧h'TJ∃λ&∪
∧x#∪)d`&SiTH$TI$H+∃
∀h&T
5⊂%∪Ie(∀i4P'S
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¬λ+∃
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5_&Tju@&T	U0&Tj% *U
∀x,∀
e()∪ju⊂'S
4`(UIUλ)⊗+⊗λ+U
u@,∪HtH+∃
E *∀ju8+↔k%8*U
5X+VJu`*U
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e)UJU_)∃
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5λ'T
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dp*∃k¬_(⊗¬0)T)u -∃ju0,∀
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U_(S)tp*∪ITp%Sj∃X'∃)DX'∪	∧p&∪)$8$T
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∃⊂'Sj∃8,∃
4x$SJ50+T	$x'∪jE_+T	UH+U
e +UJ%0*∃k∃λ(S*∃((TjU_+∪*E@&P
5 ,∀
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5('∀je '∃jE0&U
dh*U	4`*⊗
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u⊂)∃j∀`+∃K%@,∃Je'U
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∧P'SI4`&∩i4p'T*∀p*∪J∃ +∪j∧h)S
5λ'R)E_,V
∧h(U*4p%∀j5'∀JTp%SjU8)T*Dx(∪Ie((∪J∃λ+∃*¬'∃
u0,∀JU8+Tjtp(∀J%&Sj∧h&∪iuλ+∀*5⊂)∩j∧@(UJe⊂%∪JuH+Siuλ*⊗k¬H)∪)e⊂&∀*¬⊂$V	dp(∀
U⊂+∃+∧H≡∪
e@*V∧p&∀)u⊂+↔Je(,↔k∧h)VK∃0'SJ∃8*W
U⊂+T)Uλ)∀	dx+∀K¬_)∀J∃X+↔K¬8/↔∃(+U
%H)↔k%λ*U¬X-WK%P#⊂hD $Q	∀P#Ri∧`&∩I4x%∪IDP%SHT0"RI4X"R(TP%∩)$@#SI4h'Ri∧8%∩	dP%∪)48'Si∀p$Qi$λ"∩	∀h%RhD0#⊃I$H&∩)$h(∩)∀H'∪J∃_(∪J%_&∩i∀8)T)tX'RIe'∪ID@$S
4x&∩*∀x(∩HT "Sht@)∃i48$Qi∧( Qi∀X$RJ∧x'∩)$@(∩i∧`%∪)Eλ%∀)dh&∪λdX&∩I∀X"R	∧x$SI∀X(∀	T@$R)dx&∩i4h$⊃HDP&⊃IT`'SI∀8#S	4H$∪(T⊂ ⊃	dP"∩(tP"∩)∧P&∩)∧@$QIdP&RIdX#⊃itp&S)∧`'∀	tP(TJ5⊂,TJDh'RIu_)∀)4`)TJ5()∃iU⊂)SJe⊂*∪)u_)∀*e_(∀j¬8+U*E_)∃
e⊂,∃¬⊂+∀j$p&∪J¬,T)E⊂(SHu0)∪*∀H#RI5⊂)∀)tp&∀*¬(TJ∃x)UJeλ(T*∃*∀ieλ*∃+¬8'T	dH)∃
4p(U
U&U
$x&S
∧h&Sje)∃J∀x(∪*¬_)∪jEλ'∃
%*Vλu⊂*VJE((⊗*$x(∀JE_)∀
∃ (VJDx'SJ∀P'∀)th&∩jEλ(∀JE(.⊗
u⊂(TiTp)⊗*U )V
∀x)∪)$8'∃K¬_.∀%((∃
UH,VKU_&TJUP,Vk5 *∃
uλ(UJ¬⊂&∃*∃_)V
E_&U¬()∃Ep-U,¬ )∃∃X.Ujex+⊗KeP+∀jEH(V
e0#R)DX$∪J∀0$RIDP%Ri$P#R*E⊂%R)∧H$R
¬λ%S	∧@%⊃iD("R	∀X%U	uλ&SIt8'Qi$h)∪I$@$S*$x%⊃i∧H$RλTX&Rλt_%Ri∀p(U
∧x)∪)e +S)TP'Si$X&∃*∧x'∪IdX%S(d0"⊃	∧`'∀	4X%R)U&RλDX&∩λd@#∪)$0"∩λdX#⊃(tX(∀	5%SJe⊂&S)dh)Si∧h&R	40#∪it`&⊃λdP&∪*∃λ'S*¬⊂%RI4@&∪)$h"⊃hu#PH$@$⊃λd@"R)∀ "⊂i∧@!∩ITH%⊃H4⊂'R(48$S	4H$⊃iT $RHd@*SI4P'∪j∃)S*%'RJ∀X(Sjth&SID`)∀k% &∪j%(*TjU_)∃jdp)Tk∃ +TIu8+∀iu⊂)⊗jUX&∃U8+Sk∃H+∀ju`&SJTh+∃juλ'∪)e_(∀J∧x$T
¬@&Rj%(&∀iEH*S)d`)∀j$x'T(U$∩i4h'UJ$h'Sj∧p&U
∃_+∀
∃_'∃	T`'∪)t`%S	dh'∩iu0'∀Ju⊂)S)TX'TjE⊂(T	4x%SIe(∪J50&TjU⊂*TIu8-Siu(+∃)Tp&S*%λ*∀
E*TjDh)T)u0+⊗JU0*T
5λ*∀)u+Pi4h&TjU_)∃Je ,T*¬0-⊗k5⊂*V*¬H.∃*e_)Uk∃p*∃
∀x(S*E(&⊃iu⊂(∃+%8'∪
e8.WKU8(UJ5H/V
∃8+⊗+∃h+∃*e_,V+∃('∩I∧`&⊃I∧h&∪	4X&S)∧h#∩iTH$∩i4P$⊃hd8$∪	D(!∩i4`%∪*∃λ$RiE '∩)%_'SIDp&∪ITx&∩	DX&∪idx$Si$λ#∪HD_"⊂htP$∩itp'RIU'∪	U&SJ∧`&∩*Tx&SJ∃λ(T)th%∪*Dp*∪)Th'∩)E&∀i4P%S(t@%RiD@&∩i4@'R)th&∪*dX&SITp&∪idp(T	$x&∪
∀X$SiTp'∪I%λ(∪i%λ%∩	Th(∩i$P'RHtH%⊃	∧X#R(4($R(dH"∩)$@%∪	4X#∩Id@"∩	DH!Qλd@%⊃hT(&∩i4P&∩ITh&T(u(SIEλ'S*EX+∀j$x&R*∀p*∀
T`#SJ¬_+U*%λ*V*¬⊂)∀jE -∪je⊂,∃JeH)Tju ,∃*%P+Uk∃@.∀Iu@*∩iTx*∀	uλ)∪j¬'∩itx%∩IDp(U	th(∩HTP%QiDp(V*eλ,∪JTx'S	Tx&∪iE⊂*∃j$`(U	u0(UJdh'S
D`(Riu⊂%S*∀x'∪J¬λ'∩jE_(U*¬⊂)∩)U '∪IDP(∪Itx,∪)%⊂(T¬ '∃
U_(∩ie_*∪j∃λ$RJ%_(Sj∀p(∀	uλ*∀*Dp(∀	4p*T∀h'∀jUP-∃
∧P&T+5@)∀jE(*∀jUH,U*u0*∃
e_)∀kEh-⊗
%((U*% 'TJDp*⊗	t@'∀*Dp'UJ∃λ+∃*eh/X%h,UkE⊂+TK¬h-Uk∃x,∃k5@*⊗*uH%∪)u)∪iDh$∩)5&Si4X"∩I∀X$⊃hD0%∩)DH!⊃hd@%S	4x(∃)dp$RJ∃_'∃	4p)∪)¬λ)∃*∧`&∪	∀P'∀	$X&∩iD0'∩λ∀x&Ri%_%TiD@(∩IEλ(∪)e (∪)4X'SiTH&RITx%S	tp$∪iDh'∪)4x%SItp%S)∀`(∪	$X'SI4@"R	$ %R)Uλ(∪*¬λ'∀ITh+T	u&∪	$h'∩i40#∪iD`*Sj%8'Ri∀`%S	4P$∩I$`$S	∧0%⊃idX$Qλ4H#P)∧H"R	∀8&RhT`$⊃hT8$R(t8#∩)Tp$∩	4`&∪)∧X%∩	∧P$∪iUλ'∀i%λ&∀*5 +U*5⊂*∩jE'∩
%⊂)Uj4p*TIu_*∃
EX-VjuH/∃
% ,T	u⊂'U
∃0(UITx(YKe)∃*∃_,⊗Ith+∪j5⊂+∃IDh(SJu(*Sj$`'⊗∀h(∩IU_)S)u+Tju⊂,∃	DX)UJDx*∪I∀x(U
Dp(S)e 'U
u@(∀*∃_)SJ5λ'∀)tX'T*dX&∀)e_(∀j∀X(∀Ie#∀)u+∩iEX)VJ∃('R)∧p)SidP*∀)E(∪)tp(SjDh(∃k¬_(SJ¬⊂*∪I$H'S)∃ *∀jE8)∪jE -⊗*∧X)⊗*E()U5h-⊗Juh-UJEλ*UK⊗+TK∃H-UK∃8(∪ITx(Tj5 (TJu⊂'⊗J¬8*∀
∃8-UK5_)∀¬p,∃%_+UkeX,UK¬h+Siu8,∃K$x)∩λtx)∪i∀8%RIT`%⊃	4`(T	Th&S*∀X#∪	dX%Ti4`&∃
E_'SIDh%∩I∧X$RhD0%S)5λ'∪)t`'T)Dp$∩	∧0%∀)4P&∪iD`(∀*∧x#R)$P&SIDP%∪
∧h*∃*DP'SI∧`'Si∀P$⊃I5_)S	4`%SITh&RItX$Pi∧X%Q)$`'∩htP&∀
∀8'∪itp%∩	dX'SID8(∃iu⊂*T)Dp%S)d`$∪	Th&∪j∀0'∪)∀H$RIdH$∩I∀P'∪iTH$⊂i∀P"QHdH!R)TX$Si4H&R	∧h'SIdh$⊃i$@$S)4P$∪)Dx'∩i∀X'∩iE⊂'R*∧h(Siu )∪j$h*∀JU⊂$T*¬λ,UJuλ(∀	u((∀
u_'TJu(+⊗j%0+U*¬0'TK∃@+SIU*UJuP)V*e_)⊗K%H)∀
∃&∀*∃@)S	Dh(S)d`&∪IDp)RλDp'∀I5)T)dx(S*5*S+∧`'∀	5_%Siu⊂&∀)T`%∪I4h)SIu(∪j¬((∃)eλ%QIU )∃Je8+∪*$0'Tieλ&UJU0'∀j$x*T*E@*∃)U8)Uj$h&∩iDp(∃iu⊂+TjU)Tj¬H(Sj5 (∪)4X'∃Jdx(∀
$h*∀)u@-Sj%@'Qh∀@)U*UH/∀JEλ'TJEH-V
50)⊗e8-Xuλ*∪
5(Tju⊂)Uj∧x'U*%_)∃j¬0*V*eX,∃K¬P,⊗*U8/⊗K%x/UJep+⊗j5(SJ%λ*V*5(%∩HdX'⊃)$(%∩)DP$Qi$x'S	uλ$⊃i$P&∩I4 $∪HdH&∩I$H$S)TX+T
Dp$∩iTx%∩i%$Sj5#⊃I∀0$SiDH$Sidh&RI$H#SIDX&∀Id`%∀J¬'T	4H%∩Iu '∀IdP%Ri4p(T	Tp%∀	4@'RiDX%S)e(RHu_&RI4H#Rλd@$Sj∧`%S)DX&S)∧h&TJ50)S*∀x)Sλdp&⊃(d⊂#⊂Hd@"Q)TP'∩I∀0%S)∀@$Sλt0$∩hd(%⊂(t⊂"Q(40"RHt(&∩i∃%⊃I4@#⊃htH"Qi∧P$∩	¬#∩j∀P&Si$h'S	Tp&SIt`*⊗)uλ'RI4P*∪IU@(SJ5()∃jE⊂*∃jUX+Uke@)∪J¬0&∪jUX*Tj∃ (∪*∃0'∪ju0(∃K¬⊂)↔
U((V+¬X*⊗58(∪Iu_'∀*%⊂+∪λ4P$TITx)TITH'∀)Dp$SJ∃_)T	dX(∩iT@#RIe(∪	$x'TITp'Rieλ(T*¬⊂'∪Iu⊂*Tj∃(*S
$P(∩iE0'U	4`&T	T($∪JE +∃J%λ+∀k∧x(SiE(∀j5 '∪Jdx+∀Je8(T
U0&T*4x*⊗*tp&TJ4x)S*¬ 'TIu(,TJ∃(2W
dx"⊃
%((T
e )∃kV*U
tX-∃
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% *T
∧p*∀J%8)TjDp*∀
U⊂+V*E_)Tjux+∃kEh)∀i5_*Vk∃p)UjE⊂+⊗KEH/W+uP)T
∃X-∃*e⊂'R	4x'∪idx&∀
∧x%∃*U_+∀)e8)∩j%⊂(∪j%((UJ5⊂)S*5_)Si4h)Rj%_'∪jtx&∪)u%Sj¬_&∪idh)T*U *Tit`'∀*E⊂'Tj%λ+∪*5_(RJ5⊂(T*E⊂*T*∀x'S
%⊂)T¬'∀
5_)U	tp'UU`(V%0-Tit`(∪idh+∃J4x+V)TX&⊗juP+W$p'∀Iuλ*Tiu(,∀j¬8-∃*EH)Tj4X(∃
e +∪idx%S	$X'U)uλ+UJe((Sj∃(⊗k∃0+∀JeX.↔E@.W,%0+UJ∃0)UJUλ)∃j¬ &⊃iTX%∪IDP#R	dX%U	∀h$∪)∧8'∩(d`&∪	4p(∩iDp%SJ4p$RI∃)∪)4`&∩iTh(U)T0!RK¬_&Sitp)∀k∃(%∪)E⊂'T	Eλ$RI$p(Ri$X$S	d@%S
$p%∪*∃(∪)T`%∀*∃)T)4h(SidP(∪IdP%S	4x$∩ie(SiD@#⊃I∧h%Q(dh'S	dp(TItp(∀J∀P%T	t`%RiDh'S*∀H#∩*¬_'SIDP%∩I$P%Ri∀x)∀	∀@#∩)$8"⊃i%&RλDH"T	4H$⊃I∀`$RHDP$∩Hd #Rhdh$R	$`)S)$`(∪iD`%∀	%⊂(U	dp*UiTp'∩)E_&Sj∀x(T*¬ )∃j∃@'V∃H(T
¬_+Tk%λ(Tj∃)V
e`+T+∃0*TJ¬@,U+∃X,∀kE()Ujux,VIu)∀jE⊂&TJ∧h-∃*E(*∪	Tx%TjE +V
∃_)∪
%8*SJTx%∩j∃⊂(∪i5(TIDx$Rλdp(∩I$p*∀j∃ (∪IU8&∪jDp%S)u (∃J¬X,∃	tP*∀
∃*Ujtx'∪I∃⊂(S*%)U
dp(∀j¬⊂(∪iE⊂)∃*¬*∃
e@+∃JuX)∀*E0)V*U⊂'∃*∃((∀ie_+∀K¬8-TI∧h)Tj%(+_*U(∩j%⊂)T	E@)∃K5@)TIUP+∃5⊂(∃ju8+∀JE8*⊗*eλ+∀*¬λ,U	u0*T+¬(,VKEX,_*e0*∀jU_-Wk%`-UJ%λ+∀
∃)∃J∧h'∩idX!Oπ∀H(∀I4`'S)U(TI∀X'T*∀x(S)tH$∪ID@$⊃(dH'∪i$8%TiUλ'∀)∀`'TiD@"RitX$R	Tx)T	Tx$S)%λ'∀
$H%∀*¬(+∪itP(∩iTh'Q	∧p$Pi4H(∪jE('RIeλ&TJT`&∪)Dp&TjE#∪	%%S	tH!R)5λ$Q	D`%∩ID`%∩iDp'⊃iE'T
E⊂'RiU '∪	DH&∩)∀p%T	U%S)∀P'∩)∧P%∀
∀h$R)∧⊂%⊃i∀@ ⊂)∧x%∩)∧P%∪ID@$PhtP%∪Idh!R	∀X"Pλd8$RIDx%S	TX%∩IU%∪*¬0,Sj¬0(⊗I5λ'∀j∃ (∀*5λ+∀	TP(⊗
$h(U*e(+UjUλ,TJ∀p*∃KUH*V5@+∃¬@.U*E@+W5()TkEP)TjE8*Tj%'∪J5⊂(∃
∧`*∀J%0'∩J¬()∃
u_*∃k¬H'Tj5P(RjE_(∀Itx'Si4p(∪J$P&UJDp%∪*%⊂(Tjux)T*∀h'∪)U*∀J5⊂(T	U()V*Dx)U
4x(∪*¬8*UJ¬ )Uj5λ(TK¬)∀jU⊂)∃
%⊂(∃	E(*∀iu'Tj%P+∃JE8)∃+∃ *∪iU@+∃ITh'U+%⊂(QIu *T
E⊂(TJ%⊂*∀ju((⊗∃`(UJU8)T*∃ .W
e_,⊗
e_*∀Jeλ.∃jE&∪j5H*Tj¬_,U+∀x/∀k5'U+5h+V∃8(∃JU0,⊗¬)S*E (Tiu8%R)$X%RiD@'∀J∧p#R	Th%∪	$X#S)uλ(SI∧@&∪	∧p'Si4P&S)5'∪	D`(∀)$x%∩i$(%RIdp'S	tP%∩i∀H"S)∀@$∪idX'∪	Uλ)UJ$x(Tht`&∩i$p%∪)u&T	tp*SI∀P*∀)tH%Ri4P%SitP!Qi∧P&∪)D8#Qht@&Tλt`%∪)th)∪iTh(∀*¬_(∀Jdh&S*$P%∪J4h(∀	TX'∪iDx'⊃hT@%∪)4X%Ri∧`#∩	∀H#Rλ$(#⊃i∧λ#R)T@$⊃i4H%∀)∧h&∩)dX"⊃(dX#⊃I$`'SIDh%∪j%'∪I%⊂$⊃λtx(UJDp)∃*∃_*∀J∀X+TJU((T*5⊂+U	dh(Vj% &Tj5`+∪ie '∪j¬((∃*¬@,∀k¬0*∃j∃_+V∃8*U+eP(T
5 .∃JDx(SJ¬λ*∀Id`(TiU )∪
E⊂+V*e )⊗+∃0,⊗JeH)∪j¬_'U+4x&∀J5⊂(U
∧p(⊗
%8*U)dH(∀)u'UJu(-UITh#Sj%0*S+∃λ)V+%H)W*T`(∃
u&∀ie *∃)uH'T*u_)∀J∀h%T
∃_)∀*U@*T
E_)∃J58+T
Eλ)∃	u8+Sj% +⊗
e )T
∧@%∃+¬8'U
58*Sj5_(U
uP,∃¬_)⊗KE0+UJ%`-⊗k5@+∃K5@+∀+¬((∀jU⊂)∪
E0)∃¬⊂,∃+%`,T+∃P+Uk∃0+WJE ,∃J%P+∀
Eh/UJUH,⊗+%P%RiTH%∩IDH$⊃	$@&S*Dx&⊃iT`$QhtP%RiT@(∪)∀X%Rj5λ*U
E⊂)TITP(TITh&R)DH%SIU'S	DH"S)e_)∩(tp&∪i∀X%T)U'S)t`'∩)DP%R)D`(∀
$H$QJ¬⊂*Ridh'∪	D`)∩i4`'∀)DH"S(tP(Ri$`(U*D`&∩hU_(∪j∀h&T)e⊂+∀*%)TJtH%Tj∧X)⊗	dx%SJ∃⊂%∃
∀h#T)d0$∩	TP$∩ht@%SITx&⊃Hd0"S(D⊂"⊃)Dh#⊃iTX"⊃hth'∩I$H$PiTX#SλT`&S	$@&∪J¬(%RIe_&∀
$x'∀JE(UJ∧x'∃	u⊂,TJe (UJe 'RJ5'U
E⊂-∀k4x)∀K%_)VEp+Sie_)U
58*V
∃@-Uk%0/⊗J∃_(∀
%8,W
uλ*TjTh'∀*∃λ%∪
$X)U*5⊂*T*5_+TJe@+∪*uλ)∃JDh&S)∀H(SiDp(∀IU0*U
5(*TJ∀p'SJ∧p,⊗*¬λ&TIu0+∀	U((TJU⊂)∀
∃λ(TjE&TJTp&T
50*S*5(+∃
E,T)tX&Rλuλ*∪J¬8+S*th(T)UX,∃*U'↔
dp'∀j∃λ*∪j∃(-∃λT%⊗*u '⊗K%P+V
5X,W+¬H'TK%`+UJe_(⊗eH*_E@+↔+%⊂)⊗	uλ-∀Iu⊂*∀j∀x&Uk%0+U
eλ,↔E8,UJep,UK%P+∃+∃@*∀J¬_(Si5H+V+¬@&∪λDp(S	Tp%∩)%*Siuλ&Sj¬'RiEλ(Sid()∪	4X%Rj∃⊂*V+∃λ)∪iDx*∩i4x'RhtH)∀iuλ&⊃j∀h%Tj∧P&Si$X%S	eλ&TJu0$S)eλ&∩i∀@&S	U )∪
u%RiDp$U
eλ)∀ID@(∀Idh'SiT8&Qπ4_&Rj∀P)Sj∧X(∀)u@)Sj4p'S	5λ&∩	%⊂'∀	tP&Siu((∀J%(&S)d0%T	D`$SIE(∪	4(%R)4P%∪λdH$PHd0"⊃ht !⊃I∧h%RHtH#⊃i∀X#R)Tp!Ri∀X%∪)∧H(T*∀p(T)dP$S)∀h&S	dp(∀)d`&T
¬('∀*5λ(T
u@'⊗*5(*T*5λ(T*e0,∃kE_(∪J∃_.U∃0+⊗
U(*↔K∃λ+WKEP*UK¬(+∃U(+U*eh(TJ5*⊗
E_(Sj∃⊂(T
eλ-∪J∃_)∃*E⊂-↔
E_,∀jtp*V
5)⊗	4P'S	Dx*∀Iu*TJ%_&U*%λ%SJE%T*$`&∪
u⊂*TJU(-U*5⊂&S*∃H+∩j5()UKE )⊗
5(-U	dp*U	DX,Tie'T
∀p'T	5_/∃
∀`+∀
eH+∪J5λ+∃J$`*Tie0+VJ%0&Qhe((∀	dP'⊗
50)T
E@(∃∃`,∃K∃8,∀j5P)V+u@+W,¬X.U*%X)V
$x,U*∀`*Tiu(⊗K¬H,⊗K%(0∃K5X-Uk¬`,↔%H-↔K50.T
%@*U
∃⊂+V
e('∀	∀@#SJE%S)TX(∀
∃⊂#∀	t`'∀j4h#∩)4x(∩ieλ(S*4h(Uiu0'SIu +∀*U⊂(V	4P*S*5 &∩	DX'∪iUλ&S*$X(∩iDh'∪J∧h$RI5&∀
¬λ'SI5λ)Sj$x+∪i4x$∪ITx(R)5λ(Sj∧X%S	e%RHDX'∩	tx(∪jDh(∀*¬*∀*∀h&∀J∃_(∪
¬λ(S)∀X&S*e⊂$∪
$p'∪i$P$S)%λ%RHd0"∩i∀(#⊃i4x&∪iTh'∩(D_%∩iD@%S(T_$QiTH#⊂($8"⊃	∀  Ri∀H#R	4 (∪I4x'∪	$`%⊃hTx'T*∧x+S*¬((UJU)UJU(+UjDx*∃
EH,U	eλ(UJU(,T
U)U*50+∀je (V5()VEh)V*ux-⊗+Eh+UK%@*SJ∃⊂*∀j∃(U)dH%T∃X+∃K¬(∪k¬_+∀JE8,U∃_*T)dP(∃*e (∀*E@,T
%+⊗K∃H*T)Tx,↔
∃_*∀*¬_'∀jeX+Uj∧x&S
¬λ)U*E_)⊗¬H*∪
50*∀JU-Wk%H*U+%H,Tj5`)Sitx)SjTp'∃)u+∀
u0*Tjuh,UJ∃⊂+⊗*%⊂'UJ∃⊂(∀iu(#S
5*V*∧x(↔+∃_*U
∃⊂)∃J50(∃*%0.Uk%0(UE(+Uk%X*TjE8,∃iUλ(∃
uX,∪j∧p+∃K∃P/⊗EX,⊗keX,⊗+⊗1⊗K∃X,UU`+Ve8*∃K%X0⊗U`%Tλeλ&S*∀h)TJ∀X'SITp$S*∀p(∃	tX'∪)4X'S*¬λ&Qi∀X(S	eλ%S)∀h(TJ¬⊂)SItx)T)tp+∩iDh'Si∀X&∀	Th%∩i∧`(∪	E )T)Dh(T	D`'S	4`'∩)u$∩IE +∀*%⊂(∀
∀p'Tj∧`&R)∀X(⊃(∧h*∩iTh'T	dx*∩IEλ)∩)E)T	∀0)∀	Dx)TJ∧x'SIuλ'∀Itp(SIT`$∩ITh$⊃iDP'∩λt(%S	∧x&R	∧P%∩hT@!Rhd⊂ ∂h4 "⊃	DP$Rλdh$T	∧H#QI48$S	∀h%Qi∧h&SiT`%Qi%λ'∀)U_*∀J∃λ(⊗*58*TjU *∃*¬(*∀jUH*∃
tp&Tj58)T+Uλ+∀Ie8/⊗*uH+∃ku(*⊗+Ex-∃
UH.U
u8,V
U8'∃JU0)∀JEH*∀j∧x(S)uλ'∀*% '∪J%H0↔+∃λ,U+∧`*V*∀`(U
%_)U*e8-∃
%H.V
%)V+E0'Uj∀h&U
%()Sj∃0&∀j¬λ(∩iU 'T+¬ '∪Ieλ(∪ie(.W
UH-⊗IE8)∪k∃0*S
%λ+T*T`$S	dh&∀*∃λ,V¬⊂(∀*E (TK5h0Vk¬_+V+∃()U(tλ)VK∃8+U*5 'SJEH)↔k¬H(V*ep,Uv +∃K5⊂*UEλ)∃*∀p'U)u8,↔
Eh+∃∃(+TJ¬0&∀	U -⊗
e`,W*u -↔Up(UK5p,↔
ep+∃k% ,∃L∃8+⊗+%H%Ri∧H%⊃itX'Sλuλ(∪idP'∪Ie_)SiDH'∪)Dx#⊃Itp(∪
∧p%⊃hTX&∪)T`&∀	D_#S*E⊂)U
u⊂'∪*¬0(T)tp(Si4`(∪IU('∩J∧x'∀	∧h*SJ∀p'∀	tx'SitP%SHt`&S	eλ'Rj5($∀
∃'∃	tX%⊃hU(∪*4h#T
Uλ%∪)$@$∪*$p$∪	d0%∃j5⊂(T)tx)U	T`'∩I5λ%∩IDP$⊃I∧0$S	$P"∩Ht_"∂(t($⊂(D("⊃λt@#∩hd!QλD⊂#∩	D⊂!⊃h4@&⊂hT@$R)∀P#⊃I48'∪iDH$∪λt(!∪Iuλ&∩)e'T	Tx*∀	4h$R
UH)∀j%)∪*¬(,∪j5λ'∀	e ,⊗J50*U
U8'U+¬((Vke0)TJE(+⊗*¬_,UjeH)UjU((T	u⊂(∀Ith&Sj¬ *∪iu⊂*∃iu0*⊗+U8(U*$X)∃*4X'⊗
u0)V
∃X,TJ¬)U
U⊂(UJ$H)UJ%λ*↔
∀`*∀jEλ&T	e8'∪	Uλ)∃*¬(TjU_(∃JU,⊗j%P+∃	u⊂)∀JE0*∃)dx)T*dx+V*Dx$SITX&T
uλ&T
U('∀
5H*T
4`)∃*5P&SJ∃0*∩λU⊂+⊗je(+SJ∃8*∪ju8+W
UP*U*e8/Wk58.∃%p,∃ju(*∃J∀x(T	u@)U
%⊂)TI4p'UjE_+Vk50)⊗JU8-∀
%@-Uk¬h,TK∃x.V¬0,∀j%*V+⊗_1U*∃ $Rh40#∪)∧P%Rj∧p(∀	d@%∪	D8%∩iU'∩ht #∩j∀x'S	∧h&∪i4h&∩Hdh%T
D`*∃	Tx'SId`)∩iU⊂)Sitx)∀)tx)∩ieλ%T	TX(TIU &Tjtp&S	4x'∀*∀`$TIdH%S)%_(∪i∧`$∪)$p(∪id %∩HdX#∪)TX'∩J5_%⊃i4p#S*$P$S)TH#S
5*∪	4`)∀JE&∩itX%∩	∧p!QhT`&∀*∧p#RI4 #QλTH$PH$@"⊃hd0"⊃hu⊂#∂(T #R(tλ$⊂H4_"∂Gtλ#Qi∧X#⊃iTx&∀)Dx$Q)dh&Tie&∩	e⊂%R)dh(∪)4H'∪j∧x+Uj5λ(∪)u8)∀Je⊂)Tj∃P,V
%_(U
u8&UJfλ+UkE_)∩*E8'TIU ,∀jU⊂'U
%@*⊃h∀X&S*%_&Tj∀X(∀Ie0+U*∃_+Uje⊂(∀)DP&UK%_%∀*E(*↔*∃ (S	U ,∀j∃(∀Ith)SJE_)V
E(∃*∀`(↔
$p&S+∀h*∀j∧X%Rj¬(∪iTx+W
dh'UjU(T)U_'∪)DX(∩j4`'∀)DX#S*$x%∩Id`%∩jEH-TiuH(U
Dx%S
¬ (S*U@-∩IU_)U
U@,T	U`.∀je8+⊗K¬⊂)∃k%P1∃¬8/U*up*W+58,Uk∃H+⊗k∧`'∪*E )TiDp%SJ%'W
Eλ)W,⊗⊂.Vje0,∃
e⊂,U%`-↔%0'∀)UP+∀+¬(/⊗*UX&S	Tp&∀
∀`'Tj$@'∀*e⊂(S)∀p&TiDH%T
4p'∪i∃'Ridh(Si4p(∩IE⊂(SITx+∀jt`&Rj58)∪	4P%S
%_*∀iE%⊃iTx'∪)∀`'∀	tH&∩I4`(∀	$p%Rid`'S	∀h'∪iU'T	U)∩j5_&∪)TP&∪
4h(∪)∧@)S	5⊂%∪	∀p%∪iu+∪idh(∪J∧X(∀)DH*TI∀`$QiTP'∩i¬λ!R)∀`%∩iD0#S	D`$S	∀8%Ri∀@$⊃i$0 R	%&R(dP'∪	$X%⊃iDh%⊃i∀⊂∨Qi4(#Q	∧x'∪i%λ#∩	e &T
∧`&U
¬((∪*∧X&Rj%⊂&Rgs #∀*%()∀)u8(TiDh(∃U@,V*∀`+TJDp'∃Je ,U¬λ'Tju_(∃J5P(T
%()TJ%0(∀)eλ)∪Ith&S	e⊂'∪iU(Tj5@'UJ%X'T*%λ*TjEλ)∀
% 'TJ¬(V
Uλ)∃
uλ(T
∃_+∩j∀x'UJU0(∃
∧p&T
58)Sk¬λ+∀k∧h$∪)D`(∀
¬_(V¬_+S*dx*∀*∃((V
E0*⊗J4p+∀j∃_'∀J5λ(U)t8'∪)e_)∀jU (∀itx+∪j∃λ'SjD_$⊗jUx,⊗K5()UJEH,V
%0,⊗+¬ )S¬@+UjuH/V*fλ.∃KE8+⊗*uλ(U*∃ *∩j¬_(UjTX(∀
Uλ(V+5p)U¬X,⊗+E (Vke`.VK∃0-X
∃0,⊗k¬_&∀J%λ+∀kE &∪	∧P%⊃I4(#T*∀h%S	D@$SI∀@#Rhu%Thtp(Tλtx%∩*∧p$R)d`$R
∧x'∩I4X&S)d($T
∀h+∀)D`%Rj¬$RλTh$⊃i%&T)dh(∪)$x&S*Dp&∪Ie⊂&Ri$x)Vj∧x'∀
U((R*∧p(∀J∧`$∃)4P%∩i5λ(∪)dh%∪i∧P$∪iD@&∩)4`'S	T8%∀)tp)Siu'Qi$x&∀i4X"∩(t8#Q)∧_#Rit@$⊂iDP&∩λT@%∩Ht_#⊃Hdλ!Ph∀`$Sλ$H'∩I∀@$SI∧h"∪iD0"RhD !⊂i∀P&TJE⊂&U	eλ&∩j∃ )SIu0%∀jE⊂&∀	Dh)∃iC_ ∃jE@+T
Th(∀k%(SJ∃'∪*¬_,Tk% 'T
U⊂+UJU(.∃K¬⊂*∀Ju_*∪IE⊂(∀It`%Ritx&Sj$x(∪*%8)T	u&∀*E⊂)SJUP'S	5λ-∃)uH&S
E⊂'U*$p(∃*e(T)uP*∀∃8)∀j∃_'Rj5 )∪IDx&UK∃@,⊗
uH)∀*%'∪*5+SJ5(*∀)∃λ)∪*e⊂'UJ¬λ)∀
$h$∀i%'∪J5'TJ¬(∪JU('∩iUλ+∪J∀`(∃j∃λ)Uk5 *RGDX)Tk5(/VjU⊂)∀J5(+⊗∧x)∃¬ .Uj¬0*UJeX/W+%X-⊗Jd`&UJE(+∃j%_(∀*u('Si5_%∪	e(*V,Eh,U*$x*VK¬(*⊗L5P,V+¬h(Tk∃0*V*E *U
eH-⊗*EH&∩ht($∪)u⊂)∩Ieλ&Ritx%∪	TP#R	$@(∪ht`$SIth&∩	th&R)∀8(∪i$p+∩)E_%SJ∀x*T
∀x)∀)D0%∀*Th'S	e⊂$∩)th&SIDx%∪J5 )∀)u )U	∀8'∩)dp(∩i4`#∀k∃8'RIu(RHD@'∀	∀@#QIt`&∀J∀x(∪J∃_%∪*5_)∩)dh)S*∧`$∪)d`'RI∀p%∩*$p&S	40!RλTP&∩	∀H$∪j∀P$∩)∧H$S	$P%⊃i∧H#∩Hd8&⊃I4H&⊃ht(%⊃h∀ ∩HtH$Rλ$X"⊃H$≡T	TP&T	dX&∀)tp&∩)∧`(∃	tH&SJ5('∀
%⊂)T	TH#U
4p(TIuλ+∪
∃(S
∃λ'∃50+⊗j¬(+T
∧h+⊗
tx'SJ%⊂+T*¬_+UJ∀p'∩IU )⊃	UP,T	tp&QI%⊂)∩J5⊂+T*u8-Vj¬_(T∧h'Uj%λ)Tk∃P*U∃ *TJ∀`&T
Tx%∩Ie(*U	U⊂(∀*$p%∩I5⊂)∀id`)TIDx)TJ∀x-∃+Uλ)∃JTx)⊗k∃8+T
∃ (∃JDx,∀)dx(V*4h'SI4x(TIe*∀j¬_(∩J∧h*∪j∀p&Tj%*∪i$x'⊂)∀p+∃ke`)∃
¬`,∀*E()V+¬0,∃jU0*∃
eH+Tiu(*VJu 2⊗+∃(*↔*uλ(TJ%H*∀*Dx(U*∀p*Tieλ(Ul&@-W5H+∃
5H,XE⊂-V
%(,↔*e()⊗*U@,↔
U ,↔%8&R	∧0%∪itp&RJ∃H&S	∀h"∩	Tp(SHtH(RITP#R	u'S)T(&T	DX(Ri¬λ%S	Dh%∩*%()∩heλ(∪)∀p&TJ∃)∀∃⊂%Q	dP#S	E_$∪	5)∃
¬('∀HtH)∩	tp'∪*∧p'∩j∃_'⊃idX'R)∀X&UID`&QIUλ&T
4x%SJ∧X'SitP*∀	Tp&∩*T`$S	$`&RiTP#∩	tx$⊃	D0$⊃)∀x$Q(dX%S)48#Qi∃%∩(T⊂!QI4(#⊃H4@$PI∧H#∩λt@$Qh$⊂#RHt '∩(d_ Ngcp R(sH∨R)∧X(∪ItP&∩iDp$SJ∃'∀
E⊂(Sj∧x'T	tp&T*∀X#Rk¬0(∃*5⊂)Si∧p(T
U8,Tj50)∀)u(*∃+∃⊂(∪j¬λ)∩j∃⊂*⊗
dx%∩J¬8*∪*∃X)S*∧`&Ri¬ '∪jE(*∀
%8*VIe⊂)∃*Dh)U*¬_*∃*%⊂'∪ju_'∀)e⊂(UJe⊂#RIDp'T*¬λ)∃
Tx&∀*∧h'Tid`(TJ∧x'TJ%X+S*∃⊂&T
¬⊂(∀j∃8)⊗
U_+∃*E0-Tid`*∃)Uλ&T	TX&T	5⊂(∀je8'Siu⊂+∀j5((T)t`*T)4($Qj∀h&S+e`+⊗JE@*∩jU_*∃¬P)∀jE_)∃E8-∀IU *⊗
4x-W5(,⊗
E⊂*TjeH+T*$X&∀ITx+U*U *U
Fλ-V
up-Uj%H-VK58+∀J∃@-TK%`+VKU_(∃KUλ*V
E('RIU'∪iT`*S	%λ)∪i∀h'∪)t8'∪)TX%Ri∀h%S	TX%∀ID`%∪Ht8(T
∧x$∪IU(∪j∧x%∩	∧H&∪	$p&Ri4H'SJ∀`$∩λt`%T)4x*Tj4h&∩Ieλ$R)48%Sj∃⊂+∪k%⊂+Ri5_'SIdh%TITp&S)4p'T*4p$R	∃ (T(4 (∀	tP'∪J4H(∪i40'SITx&QIu %Q)∧0%Sλt8"⊃I∀@$S	∧H#∩)4P%R(4_"QHtH&⊂ht`'∪	4P#⊃HT(#Q	∧#⊂i∧_#⊃H∀ $RhD⊂≤G∀ "⊃hβ`$T	T8%∪i∀8%∪)u&SID`'∪iDX&SiT@'∪)∧p)∪J$`$R)T`&∃J¬_'S	5⊂)∪I4X'Tj%)TJ∃λ&∀ie(.Sj∧x-∃
∃+∀ITh*∃	4H)∀	u'S*∧`(∪iD`$S	d@%⊃i∀x&T*∀@&∀*dp)SIDp)∃J∃λ)∩)e((T*U'S*$h(V
E(+T
∀h%TIe⊂'∪iU_(∪iuλ'∀
∃⊂*U*∃⊂)TJ∧P(U
5⊂(∀	eλ'T
∃ &∩)DP)VJDp(TJ4X*Sj%λ$T)u_)∃
∃(*∀)Eλ$∪*5 *VJ¬*∪λ3x#T
U⊂+∃JE_+VK∃⊂%T)D`(∀)eH+∃jEλ'Tje(.Uk¬_)∪)e()V
u(*∃)u(*UIu_'SJU⊂,T*¬@'TJ5⊂+U*5@+⊗+¬_-∃ItX"U*e ,VJ5_.∃Itx(∀*e'UK∃⊂+∃*u (∀	Th(∀	T@'SI$X%S*∧@'Tk$p(Sj∀P%RiDH$RID@∨OI∧p&S)dx(S*∃λ'∩	5_$RitX$Rj∀P!∪*∀X'S
∀h&∪J4`$SI4_≤⊂λDp&∪J50(∀Id`$R)Dp(∪iDP'Uj% '∪
4p%⊂htX%S
%λ'QHsh≥⊃ie⊂*Uit8&Q)∧`%R	∀X(∪idp&∀i$0(∪Idh'RI5'∪iTH&∩λd_"⊃(tX(∪IDX#∩
∀@!Ri$8'∪λt@$Qh∀8#PiTh&RλT $⊂I$`$⊃'d "⊃Hd`!Q(D_≥⊂	$@!P'∀λ(∪IT`&∪Itp'∀j∀p%∩j∀h&∩IDh*S)∧@$U
dx(∩J∃0+U	E *Sj5_+TJTp&∪h∧0)TIe⊂(TJU@,SJ∧p(∀I¬0+∃JE(S	$8'S*∃⊂'∪IDh%SJ∀0%S	∀`(⊃Htp'T	4X(V
∧p)R($X(∃jtx)U*E&TJ∀p'∩itx(∪Id`(∀Idx(∩J∀p'T
¬%∩j∧x'RI¬⊂)∪j50*∀
U⊂*∪iTx(∀*∧P$T
U %∪J$`$S*%⊂%∪ITP&∪
∧`)⊂Hu%RI%⊂(∪Ie⊂(T*¬('V
th%S)$X#Qitp(V¬0+Tkε+∃JE_(U
∃ &∃J%(,∃*e⊂)U*uλ)UJuh0↔*D`&∪jE )U
∧p)W	Tx,⊗J$x'Sj¬_(∀ItP'T*E()T	Dx+U
u0,TJUλ+⊗
U_*∃
Uλ*V)eH(∀
E )∃
e0"S	D@'∩I∀`%RITP$∪I∃λ%∪
∧x&∪J¬λ%S)Th$R)$0∨Mλ∧x(∪	D`&∪)tp'S)$x%∀	Tp#⊃I48%∪)∧($R	u⊂'SI∧8&⊃H4λ_∞	e'S	e⊂(S)4h'∪j∧H(TJE 'TiTp&TJU(&∩i¬(Si4h(SI#⊂_P	4x&∩itX'RλD(&∃Idh#Qi40%SλT0%∪ITH#∩hth(S	D`%Qλ∪_≥⊃I∀@"PHT8$Rλt@$⊂Ht@&∪	∀@!∪i∀@#⊃hd@&⊃i4H&∪(4P'⊃'"p~R)dH$⊂'30 ⊃i∀ ≡∞G4 &RiDX+∪+∧x(∀	dh)∀jEλ$RItp&⊂f2P!∪idP%S(u_*S	Uλ'T)E )V)d('∃
%λ*∃j$p+∪J%_'SJ58(⊂f#0(∃*∧h&⊃iEλ'S	e)∪	∀x#SI∧H%SIth&S*∧h&∀)dX#∪)∃(QEC%∃*Uλ'S)E(∀
¬8)∃
e@,⊗	u'T*∀x&T)UH+∀j∀H#∪j∀P#KβSP$∪*∀h(S	e'SI$X(∃	5λ'∪IdX(TIDX'RId`#∪j5⊂(T)u8!LεD &SJ¬⊂'∀IdX'T	d0(∪ie'∪iT_∨∩J5(VJ¬_)∀j5(T	e_"Mπ4`+∃
5λ-U
5λ(T*¬_,_+%(.∃k% )V
e_(∃
U⊂'V∃_(VK∧h#P(E⊂*∃
uP,T*U -∃	t0&UKU@*Uk∃@.∀
5(,UIEλ)∪I5 )∀*58"N(u⊂%∪	tx"RiU_(Sj∧p(∪Hd8$S)u '∩J%$S)Eλ(T	4@≥∞i∀`$QHu*∀)D8'∀	U&∩iTP&∩i4@%S	TP&∀*∧p'∀I%_)∩)∧(≥
)∧x)∀iUλ)∀	TH$R	∧P&∪Jdx(S	u_'∀	∧h'T*∧`(∩i∧X#∩I3@_P	∧X%U)dP&S	∀h$∪IDX$R	∀ %SI$p$S)dh'RI$p(∪I$X$⊃(C ≠R)∧ ⊂H$8%∩hSp"PI∧@$S)∀8'T)D` QλD⊂ ⊂I$ $SH4(#∩HC⊂∨⊃(T`%OgD⊂#Qi∧@≡OI$`'∪	Dh&∀k¬λ*∀	Th)∀*$p*∀J%0&T'bx≡∪	∧p'∀)TX$S*∀x%Si5λ)∀*5&T	Tp)∪J¬0'SJE'TJ%P+R&2h$⊗
∃H)T	$P%∪iDh(Uj∧0&R)dX'∩ID@(Riu0&∩iTX"∩jE&Q%bh#∃je (∀ie(R)%_$S)Uλ)U*∧X&∀*¬(+⊗	U_)∪j$p'V*5_)OβS8%∀)Tp+U	Tx&∀*5_)∀J$p&∩I∃(∪Idh'Ri4`&∪*∧h'T	4x#L%#x'TJ∧p#T	tp&SJ∧X)∃jTh%⊃(48$SJ%λ%TJ5 )TJu(∪
∃P&%∀_'⊗*U (U
EP+TJ%0+∃*u *TJe()U%_*⊗*Dx)U
E0(∀
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ep+∀J$h%∃
50-⊗
u0,∃*Dx+TJu_)∩iu8*↔*E(#
ε∀h&∪iTx&∩)DX$R)Dp'UJUλ*∪iTp$∪	$`&Ri$X$R
4x#MH$`(R
∀h&S	∀h&R	5λ&∪)DX&TI4`'SiT`$∀	E⊂'∀*∧($R	D ≤Q	th'∩)$h&S	∧P#QiT`%SJ∃⊂&SHuλ%∩)u_'T	Eλ)T*¬ (R	SX→∂i∀H'Ri∃'RIDp%∩)T_#Ri∧h'S	dx&Ri¬λ$RiD`%∩(t8"∩HS(≠Q)4H#⊃λD0&∩i∧ $Qi∧8$Ri48$RId@%⊃i∧0#⊃iTp%⊃hd0$PGC8≡Rλtx%∩(D('∩)tH∨Qi4h'T	4X%∪)5λ&∪J∀h'∀jU (S*5λ(∩&Bp"∩*¬(&∪I4P'∀Iu$TJ$P)∀)u (TIe(*∪itp(∀JU@)U	eλ&RFBx"SIU_(⊃htp)∪iT`&RIDp*Ri∀H'Qj¬λ(∀
∧p&∀
∧p$∪	U⊂(⊃E"h%UJ%('∃*%_*T*Eλ(T
¬*∃j$p)T+∧x-U
E@-∃
∀x(∩j$x'NCC )S*∃(*U	uλ'T)Dp'∪iE_*⊃)DP%T)uλ(∪)U&RJ¬((∪I%λ&∞ecp(∀j∧h'S
¬ &RjT`&∀Itx&Q)∀h'TJU0,∃IU⊂(TJ5@+TITp&
∧t⊂*V*∃_'Sj¬ +VjuX&S	5_)∪jEH+∀Je_'T	Dx)∀*e &S*e⊂'f$8*∪Id`)∃K%-⊗KE@'∀%,∪j∃ )∃
% *V
u8,V
u0*Wk∃#Idd('SJ$P(S	dP(S)$p'∩ID()∀*∀x%RI∧8&S)th%⊃ht`≡
gT($RiT`&SIe_'∪λd`$RiDh%∪I∀P"⊃I$8%S*Dh(SiD@&⊃(T0≥N	DP%∪)E&R)D8$RI4@"Q(TP&Si∧h(U	DP'∪)u⊂'∪I∀X(T	Sx∩Li4X#⊃ID`'Qg4⊂#∪iD $∩	T`&TiDx%∀	$`%∪	tP$∪)$P"S	βh Q)4h"Q(DX%∩λTX"P)∀h&∩(tP%⊃)DX!Qi$P#QI4X%RλT($R(30#Rλt #R)∀X$SID@%∩h5λ(∩i4x%R*¬_+T*∧x(∪I$('∪	Th%∪(BX"∀
4p%∪i$`&Sj∀h(∃	T`%S)DP*∃
∧P$RiTx(Tk%0)VJ5 -Sπβλ#∪	e%RidP)∪I4(&∀*¬(&∪	DX%RiTp)∀it@'Sidp'R)D`(⊂e"x#Uj%λ'∀*e (∀J5%∪*5λ,∀J∀h&T+¬(%T	e0)S*∧x*∃JTh%∞∧β(&∩)UH*∩J%((∀)E⊂'RhtH$S	tx%SiD0$SI4X&∀
∧x)∀)$p$N¬SP#SJ∧p%Tj∃λ*∪Jth(Tj∧ "⊃I$`)∪)e⊂*∃)e_(∪)DX+∀)tx&
D4(V)Eλ*∀iuH.V,5x+TjUH+TJu+∃*UP+∀
E0%∩i5(U*5(&F∀8(∃*∃ ,U+U_,∃J∃0(∃	u0,⊗K∃_*W¬_+TK$x)U	4`,Uj¬⊂%	dβx&∪iE_&∪id`%∀	4p'S	$P"Rit`&S)th$∪	∧`#∩I48∨
λe %R*dX%Si∧8(Rj4h'∪iu'∪	dp(T
∀h%∪)u 'T)∀`$T	4(≡PIE⊂&TJE%∩λd0#⊃I4`)∪	4P&∀	4H#SJ∀p%R)∧x&R	4`&∪iTλ≥⊃	$('∪
∃$RiU0(∪	∀H(S	TP&S	t`%SI$X"SI4p(∪λtH$S)∧∨⊂H$`&∩htH'⊃h4(!⊃	dp'T	d@%Rht_$∩htP"⊂I$X#Q(th#R(CP≠Qh4#RλD`%R)dX'∀I4@%⊃i%&TJDx%T
%X*Sidp(RI$p(∀(B`≡∪i4x&T*Dx%R)tp$T
∃⊂%T	dh'T	u &T)tp,∃jep*∪jEλ%SG#0%⊗
u0(Sju(T	5⊂,∪HtX(∀	∀p'S
¬λ,Uje_'∀*∃_&T	TP'∩Ebh∨Ritp&∪iTX)SI58*Tju⊂*∃
∧h'Ti∀@%∪J50*TJ∀X(T*50&
c∩X$Tj∧X,V*E*∀j5&∃	dh#QI∀h$∪	Tx)SjU⊂'∪IE&∪*$h&⊂%sH%∃	eλ*T*$p&T)4H&R(#h(∀	tX(∪)u)∀j¬8*∀JE -U*∧H"$Sh'TJdp(∃
u ,∀J5P*Tj∧p(U
eP*W*e0(V*∀h'T	Tx(∀)d`%∞¬sx)∀*∃ )⊗K¬H,UK∃0)UjU*T*%P+T*%0*∪*U⊂)∪*E⊂,U	e %
ddH'S	DX$RI4H$U
4X%∩)∀0%∀	dp$⊃i$(#∩)$H&∪)4H∨MhtX$∪J$p%Si∀P&∪idh&R)eλ'T*U(*∃)U⊂)∃)Dx(Sλt8&∪	$0≤OhTh%Qi∀H!⊃(d`#OHT((∩idP%⊃)∧p$Sj5_&R
∃ $S	dh(∀J∧8≤∂)D0'Sj4x)∪ITH&Rj∧x&R
$(%S*∃&UiU (Sh$⊂&Qi∀H$⊃i$≡Q(tP$Qi$⊂%Rλd "QλtH$S)4P!Qλ4@#QHd@"RiDH(∪)4H#QπS8≡QhdP'⊃ht@!R	∧p'SIdP#⊃J%0(U
¬⊂)∪I5('RiDx*T	dH(Si#λ∨S)∀H*∀J∃&∪)Dh'∪iU_&R)Dh(T*$8&∀
∀h'S)e0)∪IU0$∪π3H$∃*%⊂)∩
Eλ&T)Tx+Tidp)∩)∧`)Sie -TItP&∪j4x'S)∧X+∩¬s"T*4h(∩j$`,∀j4`(∀*5_)S
∃((UJ∀X%TIE_)UIdh)∀JeP*OcbP#∀jdx+U*e⊂&S
∧`&∪J∀x'RJ¬λ'T)dh%∪*4p$RI∧x'S
Dp&∂fβP'S	4x&S
E(*∀	∀X%QH4p)∀
4P%U
∀P'⊗*∃0*TK¬@.∪j%H'NdcP'T	U'∃JU@*∀j%⊂(⊗J%_,∀*5 (W50+∀*%λ(TJ58+U	4P$∞¬SP(∃J%(+TJ¬_+∀j5X*V
u_)⊗K¬8+TI4x,T
4p&∀+58&S
∃_$K∧∪h'S)T8$SiTh&Ri4x'∪
∀x#RλdX&∩I$@'Ri∧`&R	4 ≡
(5P*∪jE'SiUλ$R	$P$SITX'∀j5x+⊗JU+∀j∀X%SiTx$RHd(≡⊂(dp'∪	Dp'S)d(∨∂G$("PH∀0&T)t`)∩i∧p%SItx'SK5_)Sj∀0≤Pid`&∃Ju@)SI4p#RItx%R*4p(∪)DP&Ri4P%RITH%∩)Tp&∩Hch≡∩J∧`%Rhdp%R)$h%R)DX&∪	∧_#RI∧@$RiTp$∩(t(!⊃ITX$Qλβ0≥∪	$("∩HdH#TI∀H%∩JEλ'Si∀0$∀k∃λ'Tk¬ +∃*Eλ(S)tH$∪H∪_≡TJ4x%S
¬⊂'TIt`(∪j$x)SJ¬_(∪i4p%∪J4@%T	eλ'SIDx*∀πs⊂!T)tH%∪	dX'⊃gt0%∪J$h(SI$H&S	e&T)DX&∩IU⊂,∀J%⊂&RF2h ∀*%`/∀*∀x$SJ∀`(T+eh)∩)E8*S
∀⊂≤∩itp(∀	U(-∃J∃(⊂βrh$∃*%λ(Uk∃ )S*4`$T*48%∀j$`%TItp#∪	$H'∃	U_(∀	dh%N¬Ch&∀ITH,∪J5λ'∪)tH"∩*U_&T	uλ'TjEλ)∩J5P)U*∃⊂(∃K%&O¬β`%∀jDx*∪k∃`-TjDP'∃+E(+⊗jU8*V+5H(UJ$P(UEP)∪)Eλ(⊂fT*TjUx*∀
eX'U
u0,∃*E⊂*V*uλ)TjuH)TIeλ*∃j5⊂)⊗*E 'KDcx#∪i∧x'∩)DH%RI4P(Ri$h#R	∧`&∪	∧0&∪λtH#Rλt@≡∞(Dh'∀ITX$∃J¬%TiD@'S	DH$∃
E0+Tj5⊂+SJ∧x%T)TX#S	40!Oλ4H&RiT8$Q(t@#⊂πch≥⊂λtX(TJ%@)∪*∧P%SK∃`,∃je_&S)T0≠⊃IE8)∪iU(U*¬ )SIE_'T	tx'∀	u *SIDh%Uj∀h'⊃HdP'∪λc`≡⊃Ht_$RhT("PhT⊂#RI4X#Q	4H%∩)∀H%PI∧p$QHd(!∩I∧@$⊂hβ0∨RI∧`$PiT8%T	$h&S)dx(RI$X*∀J¬(*∪j∀H+∪iu0)UITh)∃λc_≡RJTx&SjE&SIU_&∪)t`'TJ∧x'T	5(U	Dh&∪	Dp$∪j5_,∩πβ⊂"S)%'⊃)dh'SE1p⊃K&S⊂≥EbP↔e2H∪λD2X_N'∧8)∪λth!Pεs⊂ S)∀`$∩)th&TIe(∀*e_)T	dX&T
¬⊂!QJ∃ 'UJ4p)TJ¬+⊂D"H$∪iT`)U)e0.∀	#x(Sidx&∪IE⊂&RHβP Q)¬λ)SJ∧X&∪j%λ%Ofβ0#T)dH(∀
∀h)S)$_%↔	TH&∪I$h$T
% 'Tj4`)U	Uλ*U	d`'⊃¬d⊂&∪iu+∀ITx,↔
th'∀uh,U
5_)TjU0.∃*E*∃jUP*∀J$h&N%sh(∃JE8+∃K%H-∃jE8-U*5P+Uj∃λ*TJ%λ(TJE(∀*%@,Ti4h%K$#H$R(DP&∪)∧x)∪ITp&Qidp%⊃	4H#R)th&∩I48%∩	∀P∨
'T@(∪)Uλ(∪I∃λ'∪iTh$∃ITP'∃*u(,↔)e &T*U⊂%∩I$h'⊃ITh∨NH4p*Tit@&RH4x%RITX#QITx'S*¬λ(T)tx*W
70<[K5λ(U)T_≡Pi5_(T
4h#R	∀ ∨
εc ≠
εd"⊃I∧ !⊂πc`∨⊂htH&SId`&⊃gc@≤QHD8"⊃hT`%∩λ$8#∩J4X%T)DH$RI$@%⊃hdP"Qλ$⊂&S	T`$S(ch!Qh∀H'∪	Th#R	dp%S)$P&∀*%λ(TITh)∃J∃_'S)u_'∩(d`'SH∪⊂ ∩j∃⊂*∃	tP&T	Th&Tj∧X%SiUλ'U*∀X&R*¬λ&∀ju%RJEλ(TH"p∨Uk¬%SIth%T	B0	∧β↓0∧↓ HεβAPPβ↓ @_αAa1 ∞λd" ∪EβBP≡Ri∀`'∀*∧h$S	u0)∪Iu '∪j¬)SJu( ⊂Kε .∃jUλ*∃
∃ *R¬Bh#U*TX!S	∀X$∩Iβx!P&c@→E#⊂⊗H"⊂PπFDcX'V	4H&S	tX(P¬SX$T
∀p)∀j%_%⊃h∧H'∃*∃⊂%∃itp&∩J¬λ(TJU)WJ¬⊂)Tieλ$NeD_*T*¬@*∀)Dp&∀K5 *Titx,Vk¬ &T	d8'TjUλ*∀JTx(T	u⊂(⊂&∪x'TK¬P(UJ50(∃*% *UjeH+⊗+%h(T
u )∀+5λ&∀jE⊂(TIDh"Kβc8(∩(d('Rhd8(∀idp)R(tP&∩)∧8"R	dx'∩	∀P&Rj∀@≡Mλ$h'S	e⊂*∪J%⊂(T)4`&S)∀P(TJeλ*W
Eλ)T
∃λ'∩)$`%S)Tx∨OI∀H*∀hd_%∩I$h)∪J%(SIdp&Rie⊂-∃*U_-~p80B`mU⊂(∃JT@≤Q)E_$Ng∪⊂⊗Kfβ⊗H#⊃P∞I$B(∪
%∩P∃	d2H∩Lgt8$∀	T8&R(∪`∨⊃λ∧_$⊃h40#∪	$X$QI4x$S)D8%∩	48%⊃λT(%⊃hD #∩idh#Sλ#X ⊃HdX&RI$`!Rit8$S)tX%∪itx(∩iTh(TIu 'Tj∀x'∀	dp&Shβ ∨∀	E*∀
Tp(∪Id8'∀
∧x&T
∃&Tj5λ%SItp(TJ5@(∀Iuλ)Sg"h≡∀	E0&∩
$p'TmV⊂#λα⊂`∧A`@0βC" xε↓`@⊂↓@0_βC! @πβB"8≥Qiu(∃*∀p%Sj¬0(U	u +T
4`)∪*∃λ∨Q
E⊂*∪
dp(V
e8)Q∧bp&⊗f(.Pε38≥∞π∪(≤∞FsX≡ICQH¬↓@(↓`Q0&≠
D($QhT(#O¬s@#SI$X'∀IdH!⊃(d('UiTH&U)u&TIU8*⊗Je8,⊗*E'∪Iu)∂¬#h'∀
∃_(Tj∃⊂'∪j5λ(Uk¬ 0∃*¬0)∀+∃0+∃+U@.UJ$`(T)u`&P¬d_%RJdx'∀*¬λ*∀*% +∀*58+∀J5⊂*Uj4p(Tj%(T	Eλ&TJU_&csP'∪Htp*∪iTx'SIDp)∀	U&Q)∀P#Sj5$∩i∧`#S	∧_≥ge⊂(∀)4`&∩(th$∪j5 'TIE((⊗5`0↔JDx(∀)Tp%R*¬(&SiTx≥NλdP(Pg#(≥⊃hd`$R)Dx%Rj∧p&∪
5λ(Uk5@5aQ(PGan%@(WJD8≤⊂ie"HBq8
¬α⊃_	∧Aq 
G∧rH∞∧a`x	∧B⊃0πg∀@&∪	Dh&Shsx~P)∧h'∩(dH#QiD@(∩ITH%Ri∧H"⊃I∧_"RλtP%⊃I∧@$⊂HDP&S)3x ∩i∧P!R)T0!∪
∀p(∀*∧h&∪)e&∪*∃(&V
e0,∃
¬(&∀
Tp%∀	"h≤S	u )∀
¬'S)4`%∀jE'∪J∧p&R	U⊂(∪ItP&RIE)S)U)∀'s!T*E8'∃
e*W0	pGS#H∧A`P8¬DDBP∩F"8βBaPXβ@ ⊂ββC"h≡∪j$P#SIDP%∃JEλ)∃j∃⊂*∪
¬_)U
¬_(⊂JV⊂.UI¬_(∀	t`)⊃D2_"∪kε0AZE∪0!R*¬)T*%λ(∩%bX⊃	β@`βCBb_%≥ld`#⊃Hd@%∂%#@#∩	$X&⊃	∧_"∪)E*S)$h)∃)TP(∀J%H-∀)U⊂+∪jU_*∩	Dh%OESp(Tk%P)∪j∧X'S)Dx(T5@)∩J% )∃k5λ'∀Juλ)T*u((TJE0)PFβX'↔
Up)UJ∃0.Uj%@,∃K¬@'∃*eλ+U*u8-T+¬0'UJ50)Tju&βc0$S
Uλ(R(∧ "⊃i∀  Si4x"NgT0%Qht ∨⊂'t #Rht@!Mλ$8%RI$@$∪
∀P$∩iTX&∩*¬⊂-X+5X*V+∃λ&RI∧h$Ri∀H%QI∀@!∂(t@&⊃'sP→∞i∀`'∩)u&SJ4X%TJ$x(UJ&⊂=b⊃	⊂F$∞ux%WJ5λ∨⊃)E⊂%
"q⊂λDappλD↓qH⊂Geβ⊂∀FbqPεc1hGft0$∪idp%⊃λCP≥⊂hd8$⊂(D8#⊂hD@%∩	TP$∩I∀0#R	∧`#QHdp$T	DP%∩(dP&∪(S`≡RId`(∀*TP%∀	t8&∪iuλ(∪I∀h&U
∃λ)∀Ju⊂'∩iU⊂)∩i$P&S)∩x~∩)E⊂&∪
∃ ,∀J∧x$Ri5⊂%R)48'T	th'∩)th'∩)4h%∀*∧X#Tλ3 ∨Y⊂λ@@≡p'XD≡qj V`i#0≠KDbH→MH∀H NerH⊂H$qp
β`p_↓A↓r8 ∩*∀p%T	th'S
$x%∃*e *T
∀h%Sj¬⊂'⊃*u_)⊃h%λ(∀*%`1∪EQ` ∀JgpGd+U(,TIE"OgsP≡L$Rλ∂πD↓8	ε#rX≥_M4P#R	DX!∞Eβ(!∩)tP#R(t0$⊃i5(*T)uλ+U*DX%∀
%_,U
∀x)∩ieX)TK¬λ'PEβ &TKE -∃*¬λ*∪jTx(SJ58*U)u8(∪∧x(VJu⊂(∃	e()Tje(Oe3p&T
U_*∀
dx(TiE0)∃Eλ)∀ITx*↔Ju0&R(u@'T*5(&∪j¬λ%Mβc0(T
%P.ZGbP∪K%S⊂≤NπC⊂≠λB⊃⊂
DB↓_ε∧β2H≥∪(T@≡∂λ$X'∩	$8&∩I$x%R
∀X'∩)U*∃
U()⊗j¬'RiDh%S	Dp&Rit8≡∞Hdx$QhC8≤OHTp(U
∧X'∀j$`(S)e )SkEx;#∩I@Gd∂F_)Wmg_6[PλX9Q%bP≠PHαp→
'#X ∞&sp≤¬c(≠O'∀H 
'D0$R)4H!Q)d8≤⊂)DX$⊃ITX$QHT0"∪i∀P&∩H∀0"⊂hd8!RH4("∩I4P%⊃hD8%SλCX≥PhtH%Ri4`%∪ITp(Uj∧x&∪i%λ(∃
5+∃
tx&Sie_)∀itP(∪i# →R)Eλ'∪
¬⊂)∀)T@%R*E%∩i4p&S*∃_'SI4X&⊃iE⊂'T)Dp(SHc8+#V[pV,vzh\i4
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