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420 lines (420 loc) · 16.3 KB
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Sequences.glob
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420 lines (420 loc) · 16.3 KB
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DIGEST 87970ce2d615fc8eb10e1ed314de287b
FSF.Sequences
R125:133 Coq.Logic.Classical <> <> lib
sec 170:178 <> SEQUENCES
var 191:191 SEQUENCES A
var 209:209 SEQUENCES R
R213:216 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R212:212 SF.Sequences <> SEQUENCES.A var
R218:221 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R217:217 SF.Sequences <> SEQUENCES.A var
ind 319:322 <> star
constr 347:355 <> star_refl
constr 387:395 <> star_step
R326:329 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R325:325 SF.Sequences <> SEQUENCES.A var
R331:334 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R330:330 SF.Sequences <> SEQUENCES.A var
binder 365:365 <> a:5
R374:377 SF.Sequences <> star:3 ind
R381:381 SF.Sequences <> a:5 var
R379:379 SF.Sequences <> a:5 var
binder 405:405 <> a:6
binder 407:407 <> b:7
binder 409:409 <> c:8
R423:426 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R418:418 SF.Sequences <> SEQUENCES.R var
R422:422 SF.Sequences <> b:7 var
R420:420 SF.Sequences <> a:6 var
R435:438 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R427:430 SF.Sequences <> star:3 ind
R434:434 SF.Sequences <> c:8 var
R432:432 SF.Sequences <> b:7 var
R439:442 SF.Sequences <> star:3 ind
R446:446 SF.Sequences <> c:8 var
R444:444 SF.Sequences <> a:6 var
prf 456:463 <> star_one
R481:481 SF.Sequences <> SEQUENCES.A var
binder 476:476 <> a:9
binder 478:478 <> b:10
R490:493 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R485:485 SF.Sequences <> SEQUENCES.R var
R489:489 SF.Sequences <> b:10 var
R487:487 SF.Sequences <> a:9 var
R494:497 SF.Sequences <> star ind
R501:501 SF.Sequences <> b:10 var
R499:499 SF.Sequences <> a:9 var
prf 567:576 <> star_trans
R594:594 SF.Sequences <> SEQUENCES.A var
binder 589:589 <> a:11
binder 591:591 <> b:12
R606:609 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R598:601 SF.Sequences <> star ind
R605:605 SF.Sequences <> b:12 var
R603:603 SF.Sequences <> a:11 var
binder 617:617 <> c:13
R628:631 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R620:623 SF.Sequences <> star ind
R627:627 SF.Sequences <> c:13 var
R625:625 SF.Sequences <> b:12 var
R632:635 SF.Sequences <> star ind
R639:639 SF.Sequences <> c:13 var
R637:637 SF.Sequences <> a:11 var
ind 778:781 <> plus
constr 806:814 <> plus_left
R785:788 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R784:784 SF.Sequences <> SEQUENCES.A var
R790:793 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R789:789 SF.Sequences <> SEQUENCES.A var
binder 824:824 <> a:16
binder 826:826 <> b:17
binder 828:828 <> c:18
R842:845 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R837:837 SF.Sequences <> SEQUENCES.R var
R841:841 SF.Sequences <> b:17 var
R839:839 SF.Sequences <> a:16 var
R854:857 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R846:849 SF.Sequences <> star ind
R853:853 SF.Sequences <> c:18 var
R851:851 SF.Sequences <> b:17 var
R858:861 SF.Sequences <> plus:14 ind
R865:865 SF.Sequences <> c:18 var
R863:863 SF.Sequences <> a:16 var
prf 875:882 <> plus_one
binder 894:894 <> a:19
binder 896:896 <> b:20
R904:907 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R899:899 SF.Sequences <> SEQUENCES.R var
R903:903 SF.Sequences <> b:20 var
R901:901 SF.Sequences <> a:19 var
R908:911 SF.Sequences <> plus ind
R915:915 SF.Sequences <> b:20 var
R913:913 SF.Sequences <> a:19 var
R941:949 SF.Sequences <> plus_left constr
R941:949 SF.Sequences <> plus_left constr
R971:979 SF.Sequences <> star_refl constr
R971:979 SF.Sequences <> star_refl constr
prf 994:1002 <> plus_star
binder 1014:1014 <> a:21
binder 1016:1016 <> b:22
R1029:1032 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R1021:1024 SF.Sequences <> plus ind
R1028:1028 SF.Sequences <> b:22 var
R1026:1026 SF.Sequences <> a:21 var
R1033:1036 SF.Sequences <> star ind
R1040:1040 SF.Sequences <> b:22 var
R1038:1038 SF.Sequences <> a:21 var
R1080:1088 SF.Sequences <> star_step constr
R1080:1088 SF.Sequences <> star_step constr
prf 1111:1125 <> plus_star_trans
binder 1137:1137 <> a:23
binder 1139:1139 <> b:24
binder 1141:1141 <> c:25
R1152:1155 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R1144:1147 SF.Sequences <> plus ind
R1151:1151 SF.Sequences <> b:24 var
R1149:1149 SF.Sequences <> a:23 var
R1164:1167 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R1156:1159 SF.Sequences <> star ind
R1163:1163 SF.Sequences <> c:25 var
R1161:1161 SF.Sequences <> b:24 var
R1168:1171 SF.Sequences <> plus ind
R1175:1175 SF.Sequences <> c:25 var
R1173:1173 SF.Sequences <> a:23 var
R1215:1223 SF.Sequences <> plus_left constr
R1215:1223 SF.Sequences <> plus_left constr
R1240:1249 SF.Sequences <> star_trans thm
R1240:1249 SF.Sequences <> star_trans thm
prf 1271:1285 <> star_plus_trans
binder 1297:1297 <> a:26
binder 1299:1299 <> b:27
binder 1301:1301 <> c:28
R1312:1315 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R1304:1307 SF.Sequences <> star ind
R1311:1311 SF.Sequences <> b:27 var
R1309:1309 SF.Sequences <> a:26 var
R1324:1327 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R1316:1319 SF.Sequences <> plus ind
R1323:1323 SF.Sequences <> c:28 var
R1321:1321 SF.Sequences <> b:27 var
R1328:1331 SF.Sequences <> plus ind
R1335:1335 SF.Sequences <> c:28 var
R1333:1333 SF.Sequences <> a:26 var
R1433:1442 SF.Sequences <> star_trans thm
R1433:1442 SF.Sequences <> star_trans thm
prf 1486:1495 <> plus_right
binder 1507:1507 <> a:29
binder 1509:1509 <> b:30
binder 1511:1511 <> c:31
R1522:1525 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R1514:1517 SF.Sequences <> star ind
R1521:1521 SF.Sequences <> b:30 var
R1519:1519 SF.Sequences <> a:29 var
R1531:1534 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R1526:1526 SF.Sequences <> SEQUENCES.R var
R1530:1530 SF.Sequences <> c:31 var
R1528:1528 SF.Sequences <> b:30 var
R1535:1538 SF.Sequences <> plus ind
R1542:1542 SF.Sequences <> c:31 var
R1540:1540 SF.Sequences <> a:29 var
R1569:1583 SF.Sequences <> star_plus_trans thm
R1569:1583 SF.Sequences <> star_plus_trans thm
R1599:1606 SF.Sequences <> plus_one thm
R1599:1606 SF.Sequences <> plus_one thm
ind 1670:1675 <> infseq
constr 1695:1705 <> infseq_step
R1679:1682 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R1678:1678 SF.Sequences <> SEQUENCES.A var
binder 1715:1715 <> a:34
binder 1717:1717 <> b:35
R1731:1734 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R1726:1726 SF.Sequences <> SEQUENCES.R var
R1730:1730 SF.Sequences <> b:35 var
R1728:1728 SF.Sequences <> a:34 var
R1743:1746 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R1735:1740 SF.Sequences <> infseq:32 ind
R1742:1742 SF.Sequences <> b:35 var
R1747:1752 SF.Sequences <> infseq:32 ind
R1754:1754 SF.Sequences <> a:34 var
prf 1840:1867 <> infseq_coinduction_principle
R1884:1887 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R1883:1883 SF.Sequences <> SEQUENCES.A var
binder 1880:1880 <> X:36
R1897:1897 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R1937:1943 Coq.Init.Logic <> ::type_scope:x_'->'_x not
binder 1905:1905 <> a:37
R1911:1914 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R1908:1908 SF.Sequences <> X:36 var
R1910:1910 SF.Sequences <> a:37 var
R1915:1921 Coq.Init.Logic <> ::type_scope:'exists'_x_'..'_x_','_x not
R1923:1924 Coq.Init.Logic <> ::type_scope:'exists'_x_'..'_x_','_x not
binder 1922:1922 <> b:38
R1930:1933 Coq.Init.Logic <> ::type_scope:x_'/\'_x not
R1925:1925 SF.Sequences <> SEQUENCES.R var
R1929:1929 SF.Sequences <> b:38 var
R1927:1927 SF.Sequences <> a:37 var
R1934:1934 SF.Sequences <> X:36 var
R1936:1936 SF.Sequences <> b:38 var
binder 1951:1951 <> a:39
R1957:1960 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R1954:1954 SF.Sequences <> X:36 var
R1956:1956 SF.Sequences <> a:39 var
R1961:1966 SF.Sequences <> infseq coind
R1968:1968 SF.Sequences <> a:39 var
R2055:2065 SF.Sequences <> infseq_step constr
R2055:2065 SF.Sequences <> infseq_step constr
prf 2094:2123 <> infseq_coinduction_principle_2
R2140:2143 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R2139:2139 SF.Sequences <> SEQUENCES.A var
binder 2136:2136 <> X:40
R2153:2153 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R2196:2202 Coq.Init.Logic <> ::type_scope:x_'->'_x not
binder 2161:2161 <> a:41
R2167:2170 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R2164:2164 SF.Sequences <> X:40 var
R2166:2166 SF.Sequences <> a:41 var
R2171:2177 Coq.Init.Logic <> ::type_scope:'exists'_x_'..'_x_','_x not
R2179:2180 Coq.Init.Logic <> ::type_scope:'exists'_x_'..'_x_','_x not
binder 2178:2178 <> b:42
R2189:2192 Coq.Init.Logic <> ::type_scope:x_'/\'_x not
R2181:2184 SF.Sequences <> plus ind
R2188:2188 SF.Sequences <> b:42 var
R2186:2186 SF.Sequences <> a:41 var
R2193:2193 SF.Sequences <> X:40 var
R2195:2195 SF.Sequences <> b:42 var
binder 2210:2210 <> a:43
R2216:2219 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R2213:2213 SF.Sequences <> X:40 var
R2215:2215 SF.Sequences <> a:43 var
R2220:2225 SF.Sequences <> infseq coind
R2227:2227 SF.Sequences <> a:43 var
binder 2303:2303 <> a:44
R2308:2314 Coq.Init.Logic <> ::type_scope:'exists'_x_'..'_x_','_x not
R2316:2317 Coq.Init.Logic <> ::type_scope:'exists'_x_'..'_x_','_x not
binder 2315:2315 <> b:45
R2326:2329 Coq.Init.Logic <> ::type_scope:x_'/\'_x not
R2318:2321 SF.Sequences <> star ind
R2325:2325 SF.Sequences <> b:45 var
R2323:2323 SF.Sequences <> a:44 var
R2332:2332 SF.Sequences <> b:45 var
R2255:2282 SF.Sequences <> infseq_coinduction_principle thm
binder 2303:2303 <> a:46
R2308:2314 Coq.Init.Logic <> ::type_scope:'exists'_x_'..'_x_','_x not
R2316:2317 Coq.Init.Logic <> ::type_scope:'exists'_x_'..'_x_','_x not
binder 2315:2315 <> b:47
R2326:2329 Coq.Init.Logic <> ::type_scope:x_'/\'_x not
R2318:2321 SF.Sequences <> star ind
R2325:2325 SF.Sequences <> b:47 var
R2323:2323 SF.Sequences <> a:46 var
R2332:2332 SF.Sequences <> b:47 var
R2255:2282 SF.Sequences <> infseq_coinduction_principle thm
R2574:2582 SF.Sequences <> star_refl constr
R2574:2582 SF.Sequences <> star_refl constr
prf 2664:2696 <> infseq_alternate_characterization
binder 2708:2708 <> a:48
R2713:2713 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R2751:2757 Coq.Init.Logic <> ::type_scope:x_'->'_x not
binder 2721:2721 <> b:49
R2732:2735 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R2724:2727 SF.Sequences <> star ind
R2731:2731 SF.Sequences <> b:49 var
R2729:2729 SF.Sequences <> a:48 var
R2736:2742 Coq.Init.Logic <> ::type_scope:'exists'_x_'..'_x_','_x not
R2744:2745 Coq.Init.Logic <> ::type_scope:'exists'_x_'..'_x_','_x not
binder 2743:2743 <> c:50
R2746:2746 SF.Sequences <> SEQUENCES.R var
R2750:2750 SF.Sequences <> c:50 var
R2748:2748 SF.Sequences <> b:49 var
R2758:2763 SF.Sequences <> infseq coind
R2765:2765 SF.Sequences <> a:48 var
R2783:2810 SF.Sequences <> infseq_coinduction_principle thm
R2783:2810 SF.Sequences <> infseq_coinduction_principle thm
def 3017:3021 <> irred
R3027:3027 SF.Sequences <> SEQUENCES.A var
binder 3024:3024 <> a:51
binder 3047:3047 <> b:52
R3050:3051 Coq.Init.Logic <> ::type_scope:'~'_x not
R3057:3057 Coq.Init.Logic <> ::type_scope:'~'_x not
R3052:3052 SF.Sequences <> SEQUENCES.R var
R3056:3056 SF.Sequences <> b:52 var
R3054:3054 SF.Sequences <> a:51 var
prf 3067:3082 <> infseq_or_finseq
binder 3094:3094 <> a:53
R3105:3108 Coq.Init.Logic <> ::type_scope:x_'\/'_x not
R3097:3102 SF.Sequences <> infseq coind
R3104:3104 SF.Sequences <> a:53 var
R3109:3115 Coq.Init.Logic <> ::type_scope:'exists'_x_'..'_x_','_x not
R3117:3118 Coq.Init.Logic <> ::type_scope:'exists'_x_'..'_x_','_x not
binder 3116:3116 <> b:54
R3127:3130 Coq.Init.Logic <> ::type_scope:x_'/\'_x not
R3119:3122 SF.Sequences <> star ind
R3126:3126 SF.Sequences <> b:54 var
R3124:3124 SF.Sequences <> a:53 var
R3131:3135 SF.Sequences <> irred def
R3137:3137 SF.Sequences <> b:54 var
R3169:3175 Coq.Logic.Classical_Prop <> classic prfax
binder 3185:3185 <> b:55
R3196:3199 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R3188:3191 SF.Sequences <> star ind
R3195:3195 SF.Sequences <> b:55 var
R3200:3206 Coq.Init.Logic <> ::type_scope:'exists'_x_'..'_x_','_x not
R3208:3209 Coq.Init.Logic <> ::type_scope:'exists'_x_'..'_x_','_x not
binder 3207:3207 <> c:56
R3210:3210 SF.Sequences <> SEQUENCES.R var
R3214:3214 SF.Sequences <> c:56 var
R3212:3212 SF.Sequences <> b:55 var
R3169:3175 Coq.Logic.Classical_Prop <> classic prfax
binder 3185:3185 <> b:57
R3196:3199 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R3188:3191 SF.Sequences <> star ind
R3195:3195 SF.Sequences <> b:57 var
R3200:3206 Coq.Init.Logic <> ::type_scope:'exists'_x_'..'_x_','_x not
R3208:3209 Coq.Init.Logic <> ::type_scope:'exists'_x_'..'_x_','_x not
binder 3207:3207 <> c:58
R3210:3210 SF.Sequences <> SEQUENCES.R var
R3214:3214 SF.Sequences <> c:58 var
R3212:3212 SF.Sequences <> b:57 var
R3233:3265 SF.Sequences <> infseq_alternate_characterization thm
R3233:3265 SF.Sequences <> infseq_alternate_characterization thm
R3297:3310 Coq.Logic.Classical_Pred_Type <> not_all_ex_not thm
R3297:3310 Coq.Logic.Classical_Pred_Type <> not_all_ex_not thm
R3348:3359 Coq.Logic.Classical_Prop <> imply_to_and thm
R3348:3359 Coq.Logic.Classical_Prop <> imply_to_and thm
var 3548:3555 SEQUENCES R_determ
binder 3567:3567 <> a:59
binder 3569:3569 <> b:60
binder 3571:3571 <> c:61
R3579:3582 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R3574:3574 SF.Sequences <> SEQUENCES.R var
R3578:3578 SF.Sequences <> b:60 var
R3576:3576 SF.Sequences <> a:59 var
R3588:3591 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R3583:3583 SF.Sequences <> SEQUENCES.R var
R3587:3587 SF.Sequences <> c:61 var
R3585:3585 SF.Sequences <> a:59 var
R3593:3595 Coq.Init.Logic <> ::type_scope:x_'='_x not
R3592:3592 SF.Sequences <> b:60 var
R3596:3596 SF.Sequences <> c:61 var
prf 3650:3662 <> star_star_inv
binder 3674:3674 <> a:63
binder 3676:3676 <> b:64
R3687:3690 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R3679:3682 SF.Sequences <> star ind
R3686:3686 SF.Sequences <> b:64 var
R3684:3684 SF.Sequences <> a:63 var
binder 3698:3698 <> c:65
R3709:3712 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R3701:3704 SF.Sequences <> star ind
R3708:3708 SF.Sequences <> c:65 var
R3706:3706 SF.Sequences <> a:63 var
R3721:3724 Coq.Init.Logic <> ::type_scope:x_'\/'_x not
R3713:3716 SF.Sequences <> star ind
R3720:3720 SF.Sequences <> c:65 var
R3718:3718 SF.Sequences <> b:64 var
R3725:3728 SF.Sequences <> star ind
R3732:3732 SF.Sequences <> b:64 var
R3730:3730 SF.Sequences <> c:65 var
R3810:3818 SF.Sequences <> star_step constr
R3810:3818 SF.Sequences <> star_step constr
R3840:3842 Coq.Init.Logic <> ::type_scope:x_'='_x not
R3840:3842 Coq.Init.Logic <> ::type_scope:x_'='_x not
R3855:3862 SF.Sequences <> SEQUENCES.R_determ var
R3855:3862 SF.Sequences <> SEQUENCES.R_determ var
prf 3917:3929 <> finseq_unique
binder 3941:3941 <> a:66
binder 3943:3943 <> b:67
binder 3945:3946 <> b':68
R3959:3962 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R3951:3954 SF.Sequences <> star ind
R3958:3958 SF.Sequences <> b:67 var
R3956:3956 SF.Sequences <> a:66 var
R3970:3975 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R3963:3967 SF.Sequences <> irred def
R3969:3969 SF.Sequences <> b:67 var
R3985:3988 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R3976:3979 SF.Sequences <> star ind
R3983:3984 SF.Sequences <> b':68 var
R3981:3981 SF.Sequences <> a:66 var
R3997:4002 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R3989:3993 SF.Sequences <> irred def
R3995:3996 SF.Sequences <> b':68 var
R4004:4006 Coq.Init.Logic <> ::type_scope:x_'='_x not
R4003:4003 SF.Sequences <> b:67 var
R4007:4008 SF.Sequences <> b':68 var
R4038:4050 SF.Sequences <> star_star_inv thm
R4038:4050 SF.Sequences <> star_star_inv thm
prf 4161:4175 <> infseq_star_inv
binder 4187:4187 <> a:69
binder 4189:4189 <> b:70
R4200:4203 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R4192:4195 SF.Sequences <> star ind
R4199:4199 SF.Sequences <> b:70 var
R4197:4197 SF.Sequences <> a:69 var
R4212:4215 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R4204:4209 SF.Sequences <> infseq coind
R4211:4211 SF.Sequences <> a:69 var
R4216:4221 SF.Sequences <> infseq coind
R4223:4223 SF.Sequences <> b:70 var
R4295:4297 Coq.Init.Logic <> ::type_scope:x_'='_x not
R4295:4297 Coq.Init.Logic <> ::type_scope:x_'='_x not
R4310:4317 SF.Sequences <> SEQUENCES.R_determ var
R4310:4317 SF.Sequences <> SEQUENCES.R_determ var
prf 4371:4388 <> infseq_finseq_excl
binder 4400:4400 <> a:71
binder 4402:4402 <> b:72
R4415:4418 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R4407:4410 SF.Sequences <> star ind
R4414:4414 SF.Sequences <> b:72 var
R4412:4412 SF.Sequences <> a:71 var
R4426:4429 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R4419:4423 SF.Sequences <> irred def
R4425:4425 SF.Sequences <> b:72 var
R4438:4441 Coq.Init.Logic <> ::type_scope:x_'->'_x not
R4430:4435 SF.Sequences <> infseq coind
R4437:4437 SF.Sequences <> a:71 var
R4442:4446 Coq.Init.Logic <> False ind
R4477:4482 SF.Sequences <> infseq coind
R4477:4482 SF.Sequences <> infseq coind
R4495:4509 SF.Sequences <> infseq_star_inv thm
R4495:4509 SF.Sequences <> infseq_star_inv thm
R4567:4575 SF.Sequences SEQUENCES <> sec