NР(Freevars(JRussell&Lambda@B(Freevars 1free_db_lift1_rec@!n)Datatypes$Init#Coq@@#nat@!t%Terms&Lambda@@$term@!H @'free_db@BA@+free_db_ind8*(!k,0@BC&@(lift_rec <@A"n0A!s6@$sort@I0@A .%OP"H0%PeanoSR@@"gt=<"k0`&Specif`_@@+sumbool_indਜ਼@"le@O=Q?1@'sumbool@ _ME$Init#Coq@@@BAA@DI#oD=rq!l @B !g#!a9@B-z"Gt%Arith@@'gt_le_S :"Lt @@*le_lt_n_SmB!bRI5[@B!L+Compare_dec@@)le_gt_decԷ!Aɷ!M̷"H1ǠhVķ"H2Πo"H3ԠĐGzַ@CЩϐH̰ΰːFאy !u!v864/-)&@D$!&!T۩Q00?O3M9>"H4$A÷"H5D*JIJ1@E!K 3 I6# Z8V:T82\O!BR}{yweL@FmjhcaAk^_rY@GzwupnNxkl*!f@H}{[x6m_oWTZl0u@IpjE|:@J"zj}|@@@A@-free_db_lift1@!n@@@!t@@@!H @@Bנ@@!@A'%@+@B$@$lift Ð@@A@0free_db_lift_rec@Ȑ!H"n'$Init#Coq@@@!k )Decidable%Logic @@+dec_not_not @@"eq@!#@B%Peano'&@@$plus )Peano_dec%Arith5@@*dec_eq_natE(@#not.K.@(eq_ind_r&BinInt&ZArithL@@!Z@ @%Zsucc@(Z_of_nat9!4!x@@#Zne<FҩM0X@%False@.++@%Zplus!=#R5@.W?</j`,C@*<;i'QND:Q@8) s1=O00-@&ex_indb!ye@#and@m^0o@#Zleu@ALy@%Zmult@B&BinPos&NArith@@(positive@Ci%Zvar0&Omega4/@'and_indЩͰ.+t(%/~&Omega0 85~2/9PMKG%Zvar1&Omega3 (Щ%&Omega1 ʶ@ĐLX@$ZoppΐMdn@̠ pzɩ+OmegaLemmas%omega:@@8fast_Zplus_assoc_reverse8{@ᠩҠ)ک@@頩ڠܠޠ5,/@A:/@4fast_Zopp_plus_distra%@ #G<@7fast_Zopp_eq_mult_neg_1n0@. Ta0%<@#:ʠ-G@Cg% 6M@4%K')s3j@2fast_Zplus_permuteЩ2=6  Of@MD{I Ul@S.JO,[r@YJ4R(4cz@aR<TiV F@`@0fast_Zplus_assoc+ɩ_)a=)@1fast_Zred_factor3N}@{lnp^))x<N+@x,33Xd@ ==@1fast_Zred_factor5?iFFU kHW&Omega2MMߐ@AT@Ő ͐e)auxiliary۠&@@(Zne_leftې  $Znat8@@'intro_ZA  @%inj_S% ©@(inj_plus'5@ 0'@'inj_neqC@(;ki`jS!nm!tUT@@S@"H0 @R@QP@+free_db_ind8}c^署@JbOa"n0D$@C@!@A^"H1}@>zy"k0>@@+sumbool_indਜ਼@=@)@<@ H:4 A(C].b@B;Ʒ/ ʷ.)e@BZ-@@+ )@0plus_gt_compat_lgU%:2k鰩T6o#Ġ@@&dec_gt?x"H2Ő w Ķ@VY /m%Zvar2Ϸ'Omega15">7&Omega51{ڷx۩vߩАr%Zvar3䷐'Omega14 SЩ# NƷ&Omega6 H(琐QԷ%Zvar4'Omega13 kЩ5R$i᷐&Omega7 c 緐%Zvar5'Omega12 ~w﷐&Omega9qiZ@@ީMX-*P,@]R  !8@ʠǩ ZO@/fast_Zplus_commˠ0G@٠g%\@1fast_Zred_factor09P@ߩ(ܠ_62'Omega1113hemOf@>B`WcZPzwax@ PxT\km@\`Niqxz@# iql@+(qsʐ}x@74}3!id@C@ө ?u@1fast_Zred_factor6|@ROLI&Omega8[XURYb$@*comparison@@C@#Zgtgq+auxiliary_1 ;@,fast_OMEGA10$UsƠzwʠ̠'{{H Р @,fast_OMEGA12 $) @ᠩ /a5ѩ'Omega17p2@,fast_OMEGA13 ߷Щ1\QMM]@)False_ind xYzP "H3 TTU@ʠǩz˩Ƞ>aW@&OMEGA2ӠS۩$ؠ)q@+ߠ/nm堩5to?x@&OMEGA7 @V+E/I M9O=nYʩqo]O@[c_ g@(Zle_left&E$nͶ@%"kmuUĐ-w@(Zgt_left&~@&inj_gt)7ũǩӠ_a@D Ӑ@&inj_le@¬_gt ᩚ@3v 21w跐"H4.,#- '$867@CЩ۩4AF 'KҠ°Cĩ$0*(LV=跐<CYAߩ7caXb頩>9Z3igh@D1/BnA-0DChr?֩9w}{r|XSMr[| L"H5"H6ni8X @EwrtCsvNuxBwzye89?; 09@FzxvtrHI>G@GŷVW'L̷$ͩU@Hӷd4\Ӷ׶ة_RQB߷7ੜh@IvwGoB멜s@J@{@@A@,term_free_db@!e#Env&Lambda@@#env!t%Terms @@$term@!T !H%Types(JRussell@@&coerceB @'typ_indH-+#!"#@@$List%Lists#Coq@@&length3@A:@$list@AAB@$sort@B@C"e0Y"T0Q!s@"H0K':]@A>"H1A>g3F@B)Datatypes$InitG@@#nat@BR{@AӠҠU@@Ѱ Рڠ]@@'lt_O_SnD"t0E>53!UHF"H2~D"H3}rB@@Y2ec"s1a_]VT!M$"s2j$@Bk'˩ v"H4°}VD"H5۩ة@CЩ·!v跐!V޷!u"UrYթ@F}ٷ\Z@DSq lQmk頩'UDB@>2"H6 @%subst""H7)] "s3ط"H8 @(sum_sorth? @E;Q>@G-é @G (A RHL@RM] 11.W #6@F\ :h^  b<8i G(ЩDm$hx 9"y ob Q P,Svܩi{ Y <ީ\Y  cc@H| U g>7  \T q p2q t@Is  zQ JA@J  ) \U  z N^\@ 7 %   %   ¶@W@@A@1free_db_subst_rec@Ȑ$Hsnk!n ɠ֠@@ @!k Ԡ%Logic@@Ӱ @@"eq@@BҠ@@Ѡ  ҩ թ ֩Р%Arith@@Ϡ !H&@А++@Π͠@@@@ː @ʐ0  !x@@ɠ < C N@%False@'%%@%Zplus ! /@+ 86-` (+=@)99  1'JHA9K@7)  ;1\<L00-@&ex_ind\^@@eZ  Rg@Ơl@AIp@Š _v@BĠà@@@Cb%Zvar6'Omega22)@'and_indЩ  |)'m$ "+w'Omega18 31w. y,5IFEհ  B%Zvar7'Omega21 (Щ k %'Omega19 ũ ɷ@ T@Ð ^g Qն@  js@@  cr@ӠŠ $ͩ @۠͠Ϡ Ѡ 0ՠ ,ݩ {@렩ݠ<  멚,@  @" 8@ ' @, Z. '@8 橜2@C  &8@$I ,y$e@Щ" V;٠ X&ݠ >P@< >4u bG DV@B-:M+J\@H:3B 3Rd@PB;D !F ? ZP@* N(P  (@ Kj|@hZ l\^ f: v@tf E$ z$p a@~p r ..z@ x/ 66R 8T'Omega20== @AD l    @ U   @@Ðɐ     @@  ũ Y @ ̩Ր @ ݩ  ֩ߐߩ@ܠ ԩ ߐ#@ z  CA:B/!t  @@ @@(term_ind0 TR@@ @, !m["t'@   @@@"ge   .$@)subst_rec  CL@%minus 8 !s1@ @|zC(Q:@A +*(?"H0("H1(Ȑ"H2 I H@@ ?@@(BCEEGEEECCBDUS@:@ 2 @\ 7$ P ( ] ("n0"s08$ Z }"H3s;; ;@&eq_ind B¶H "t L wQ f/Ȑ"H4@'f_equalb!eN@ @@(AABBCBBBAA@Dm (qo     'G ٰx ( 4z }{ v󩜠@A   F@&sym_eq K   9 ;B  Zy@"gt  Vp:ȩ@B q۩Y H֩ iT  ͠ -T cpTR@O@D씐A (@ӷ@6"@$True@@@@@Aw ީ,@)False_indB+  *  PL 7  ©I    JR G F̩  ?  La L"H5Q!#@C  4n&qo]-  I 9R"  Aĩ% D'QRn> J CD@@D\ 4(Y@,@J@KZVTVVVUUSn 8.P@x aE} h$ F s uX I HN x hQ kS+  S   jj il'[`  ^WUtv@D  y¶a   =Sv a Qj  F@@D (KJ vPH(B d  @ T>,  <8㷐 87] $ 7 9   ް "H6@E   IƩDk  y  ۩~  X  > K TU$թ"   tcGE@B@D (@ é堶ՠ  yڠ aߠS &  =9       o  ũǐ    AI ~= @F   Z][I  5 %>N * r۩# $@@D<(933133220K  B÷fn*%+a13@G  D~6m=  Y Ib#rB N G H@@D`8(]WWUWWVVTo9/ f9@NIO ><86UW@H  hZBa  } m4Gf r #k l@Ӡ@D\(({{y{{'zzx]S% ] dr-Ywy@IW Ŷ @xv  -H @@D(MKxR +U.Z2L԰@JM5ܷ" C.-'6WrC '%@"@D(wu;*P%@ @ǩ  ک ' +sʠʷ"޷ŷ@BD,*@Ͷ@@Ʃ# ߠ ~@@%sumor@BAA@D̩  @@ @ @@,@"lt   BW   +Compare_dec, /@@,lt_eq_lt_dec !C3@@B@D$! )  `u !0!l lY@$pred ~<@ n 3 1{ 6("n1ݩ~NطV֩ SJ Uk-a6U Q4`L6 SD<B7b_* , lY<: 7L  r4F  } @@Dq(@U>0si0uuηCϷE̷7·ضưSQ l,Ӱ.02 |  W Y퐩& ~ d   g6n7 42@/@D(++зѷ...00e ũ_  ɩΠ ,7٠ 5Р7 =Ʒ栩2 54ݠ*c Р I >4Ƿs@ D@)sumor_indicl W+$!aq&Specif$Init#Coq@@'sumbool@BAA@Dr 7 t@B o @ڠBDrp.,@@`u A@c3kdvfV ("n2#r0XuE }yq}OϩWY&Ȑ"H7^޷_@Ơ@DwO(nnlnnnmmkPFhRUT"k0/O?p=~y&_XIY)6iͷ@@Dy(z :׶vԠؠcZCޠǐL#ܰ'@ )("H802@@#Zgt[2 'Щǩʶ@ͩ_ҩǐ ਗ਼@+sumbool_indਜ਼@|@\!^#ܠ @@#Zltߐ\R䐐]ӷ'Omega24@&Zminus<@^ҩ!  @X_^ # @N  n rS% h 3,m`Ss@A!v@͠+ -%eb};@ݠ;a,'Omega23RPYG I)EW@E;'f abf[cTJ%Zvar8l'Omega49 ЩshdbW'Omega25 #| }vfoe%Zvar9'Omega48 Щg}r'Omega26 >;:ʰ5}&Zvar10'Omega47 Щ԰'Omega29 SPO߰J&Zvar11'Omega46 0Щ+'Omega31 %he©dƩpb&Zvar12̷'Omega45 HЩөȐqF'Omega34 @ܷݩ֐o}ŷ&Zvar13緐'Omega44 cЩ(^Ϸ'Omega37 X'tݷ&Zvar14'Omega43 {Щ4uy귐'Omega39 s@P? @ )'9(@ ĩgE"4@Π̩ $[ЩˠO ,>@ؠ,"c@  4F@ީ$6,m@ ϰϷ>P@.@0h):'Omega339=)pigvVh@F.UNqo^p@ NPsGHXahz@X j`>\SUH:v@" f_j|ar'Omega27-+qs*(l@ K|3u:75y0l@,fast_OMEGA14C~5qSᰛ@ @@C  "H9@`^]2[.D,@ \igmtq%usөܐ~,@Ƞ}) ԩߐ3@ 5ߩ@a}ƶ@ߠᠩ  J@ < +@sCnF7H+J Le ObީR@*inj_minus1 . ,ַƠĩ 1 2Ԡ d 6 +# &Zvar15 ;'Omega74 Щ p B. #'Omega50  H I렩 { M8 .&Zvar16 P'Omega73 Щ  W LhF ;'Omega52 ĩ  ` A&Zvar17 c'Omega72Ω I'Omega54Ƿҩ  n O&Zvar18 q'Omega71ǩ W'Omega56 # | ]&Zvar19 'Omega70 e'Omega59 1  k&Zvar20 'Omega69   s'Omega62 ?  y&Zvar21 'Omega68   'Omega64      @ B @ 吩 |     @ O M    @ W U  ֩ T{ڷ  ɶ@ c a  ^ @ 䰩 d b'Omega61 r p    t   _  @ } { Y  ͩ    @   ͠ ϠYƩ . Ӡ 2 ݩ    @   ݠ <    @    H  %H  @   (  P-  @   0  F@6fast_Zopp_mult_distr_r  *@ Ġ © ;  i/  D $ 6@ Р Ω G  ͠ * Щ   Ӡ4  g  6 H@   ,   < N@   , .@ 6 Է F X@   6  8J : 1 B'Omega60   A% C   G > z s qԷ ` r@   P H X aܷ h z@   X j `> D'Omega53   a    x uzL $R'Omega51 + )  r )o k 0   ̰  y 0X . 7 @,fast_OMEGA16{ w < w    ; 9 B ݰ   _      N  P    % T   n ϩ Щ V T #  \   ^  @,fast_OMEGA15  a a  j   ֶ@ p n  k i  D۩  q x   'Omega92   Š&"   ʠ   é  Р    )        @   ڠ 3   j  ש   'Omega93   5   3Щ E       ީK        @    R     H 'Omega94 Š é   <`   7 v{x%#H10y(@ נ թ   Ԡs   !%  )4w ' ޠ   +  $ -@@   2 4HFB <G @&OMEGA6Щ =A ? H   8 @&OMEGA8  H Q A Ny@   O Q YdЩ W} Y   R Rm no _ <@   d f ny2Щ l n p , g/(@ 3 1 w 3 ֐  A <]'@ A ?   : ~  > @ݰlq_@ P N    Ƞ  @(Zlt_left` {.@ e c ҩ   ߰'署 @)rũ Yǩ  @*inj_minus2Ω@!%Minus @@-pred_of_minusǶ@   ٩䐩$ЩĐ@  * *@ 9    ;@&inj_eq^ 8   <' <)@d   m9751E ( & (B : 5 . ,! 9 2 0 = 6 w _ ; 9ߩ  < &Zvar22 ?(Omega119   %'Omega95ַ   J +&Zvar23 M(Omega118ө   3'Omega96ɷ   X 9&Zvar24 [(Omega117Ʃ   A'Omega99 ʩ  f G&Zvar25 i(Omega116   O(Omega101 ة  t U&Zvar26 w(Omega115   ](Omega105  )  c&Zvar27 (Omega114   k(Omega107  7  q&Zvar28 (Omega113   y(Omega109        @ < : $x  dh+n`-ݰO緐(Omega112 K I  X M ĩ    @ V T 2   @  Ķ@ ^ \      J  ζ@ h f     R T  ض@ r p  η  @ z x Щ Z  ȷ(Omega106   Ǡ ɠm  T4 Π(  |LZ   ~ IĶ@   ֠ ؠ ڠ D  2 ⠩ W  , ݩ 蠩 ]  : ,dζ@    k )  l X"U  `@(Zge_left@x U@&inj_geC{y   2 0 ڷ  3 &Zvar29 6(Omega144   (Omega120   A "&Zvar30 D(Omega143   *(Omega122   O 0&Zvar31 R(Omega142   8(Omega124   ] >&Zvar32 `(Omega141   F(Omega126 ϩ  k L&Zvar33 n(Omega140   T(Omega130 ݩ  y Z&Zvar34 |(Omega139   b(Omega132  .  h&Zvar35 (Omega138   p(Omega134       ީY_Q֩ΰط(Omega137      ݩ  |Uok ~Wשc  @ K IW (Omega131 P N xO ǩ_ E  U Gɶ@ Z X  h   Ʃ   >$ 68T@ ϐ  [ ʐ @&inj_ltԩ ڐ L N@   ϩڐ 6  鐩u w@D ; ީ鐩MC  JF  LH   J       Z <Qe?   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