(ZF::FINSEQS$PROP)
(ZF::FINSEQS
 (2 2 (:TYPE-PRESCRIPTION ZF::OMEGA-IS-NOT-NATP))
 )
(ZF::FINSEQS$COMPREHENSION)
(ZF::IN-FINSEQS-LEMMA
 (832 6 (:REWRITE ZF::SUBSET-CRITERION))
 (568 3 (:REWRITE ZF::IN-PROD2))
 (565 3 (:DEFINITION ZF::PROD-MEMBER))
 (263 32 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (250 32 (:REWRITE ZF::ORDINAL-PROPER-SUBSET-IS-ELEMENT))
 (160 3 (:REWRITE ZF::RELATION-P-NECC))
 (146 76 (:REWRITE ZF::NATP-IMPLIES-ORDINAL-P))
 (106 7 (:REWRITE ZF::ORDINAL-TRICHOTOMY))
 (96 3 (:REWRITE ZF::CAR-PRESERVES-IN-FOR-TRANSITIVE))
 (81 3 (:REWRITE ZF::IN-CAR-DOMAIN))
 (76 76 (:REWRITE ZF::ORDINALS-CLOSURE))
 (68 32 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (67 22 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (53 53 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (44 32 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (36 18 (:REWRITE ZF::IN-ASYMMETRIC))
 (32 32 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-2))
 (32 32 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-1))
 (32 32 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (32 32 (:REWRITE ZF::ORDINALS-CLOSURE-2-LEMMA))
 (32 32 (:REWRITE ZF::DOMAIN-RESTRICT-2))
 (26 10 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (22 22 (:REWRITE ZF::ORDINALS-CLOSURE-2))
 (20 1 (:REWRITE ZF::SUBSET-X-0))
 (18 3 (:REWRITE ZF::CDR-PRESERVES-IN-FOR-TRANSITIVE))
 (12 3 (:REWRITE ZF::IN-RCOMPOSE-REWRITE-LEMMA))
 (8 8 (:REWRITE ZF::IN-IMAGE-SUFF))
 (8 8 (:REWRITE ZF::IN-CAR-DOMAIN-ALT))
 (8 8 (:REWRITE ZF::IMAGE-RESTRICT-1))
 (8 8 (:REWRITE ZF::DOMAIN-RESTRICT-1))
 (7 7 (:TYPE-PRESCRIPTION ZF::OMEGA-IS-NOT-NATP))
 (7 7 (:REWRITE ZF::IN-IS-LINEAR-NECC-REWRITE))
 (6 6 (:TYPE-PRESCRIPTION ZF::IN-RCOMPOSE))
 (4 4 (:REWRITE ZF::SUBSET-IMAGE))
 (4 4 (:REWRITE ZF::0-IS-EMPTYSET))
 (3 3 (:REWRITE ZF::RELATION-P-0))
 (3 3 (:REWRITE ZF::IN-RCOMPOSE-SUFF))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE ZF::SUBSET-NECC-BETTER-2))
 (1 1 (:REWRITE ZF::SUBSET-NECC-BETTER-1))
 (1 1 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 )
(ZF::IFF-IMPLIES-EQUAL
 (5 1 (:REWRITE ZF::ORDINAL-TRICHOTOMY))
 (2 2 (:TYPE-PRESCRIPTION ZF::ORDINAL-P))
 (1 1 (:REWRITE ZF::ORDINALS-CLOSURE))
 (1 1 (:REWRITE ZF::NATP-IMPLIES-ORDINAL-P))
 (1 1 (:REWRITE ZF::IN-IS-LINEAR-NECC-REWRITE))
 )
(ZF::IN-FINSEQS
 (465 3 (:REWRITE ZF::SUBSET-CRITERION))
 (295 2 (:REWRITE ZF::IN-PROD2))
 (293 2 (:DEFINITION ZF::PROD-MEMBER))
 (173 18 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (158 18 (:REWRITE ZF::ORDINAL-PROPER-SUBSET-IS-ELEMENT))
 (116 25 (:REWRITE ZF::ORDINAL-P-PROPERTIES))
 (103 44 (:REWRITE ZF::NATP-IMPLIES-ORDINAL-P))
 (72 2 (:REWRITE ZF::CAR-PRESERVES-IN-FOR-TRANSITIVE))
 (70 70 (:TYPE-PRESCRIPTION ZF::ORDINAL-P))
 (67 2 (:REWRITE ZF::RELATION-P-NECC))
 (48 18 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (44 44 (:REWRITE ZF::ORDINALS-CLOSURE))
 (42 42 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (42 15 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (40 40 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (38 3 (:REWRITE ZF::TRANSITIVE-NECC))
 (26 13 (:REWRITE ZF::IN-ASYMMETRIC))
 (18 18 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-2))
 (18 18 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-1))
 (18 18 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (18 18 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (18 18 (:REWRITE ZF::ORDINALS-CLOSURE-2-LEMMA))
 (18 18 (:REWRITE ZF::DOMAIN-RESTRICT-2))
 (16 1 (:REWRITE ZF::POWERSET-PRESERVES-TRANSITIVE))
 (15 15 (:REWRITE ZF::ORDINALS-CLOSURE-2))
 (14 14 (:TYPE-PRESCRIPTION ZF::OMEGA-IS-NOT-NATP))
 (14 14 (:REWRITE ZF::ORDINAL-P-OMEGA))
 (12 3 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (12 2 (:REWRITE ZF::CDR-PRESERVES-IN-FOR-TRANSITIVE))
 (4 4 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (3 3 (:REWRITE ZF::SUBSET-TRANSITIVITY))
 (3 3 (:REWRITE ZF::SUBSET-NECC-BETTER-2))
 (3 3 (:REWRITE ZF::SUBSET-NECC-BETTER-1))
 (2 2 (:REWRITE ZF::RELATION-P-0))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE ZF::0-IS-EMPTYSET))
 (1 1 (:REWRITE ZF::IN-IMAGE-SUFF))
 (1 1 (:REWRITE ZF::IMAGE-RESTRICT-1))
 )
(ZF::FINSEQ-ADMIT
 (114 4 (:REWRITE ZF::ORDINAL-TRICHOTOMY))
 (72 2 (:REWRITE ZF::ORDINAL-PROPER-SUBSET-IS-ELEMENT))
 (43 1 (:REWRITE ZF::IN-POSP-IMPLIES-SUBSET-N-1))
 (20 14 (:REWRITE ZF::NATP-IMPLIES-ORDINAL-P))
 (16 16 (:TYPE-PRESCRIPTION ZF::ORDINAL-P))
 (16 4 (:REWRITE ZF::ORDINAL-P-PROPERTIES))
 (14 14 (:REWRITE ZF::ORDINALS-CLOSURE))
 (14 2 (:REWRITE ZF::TRANSITIVE-NECC))
 (13 13 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (12 2 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (10 10 (:TYPE-PRESCRIPTION ZF::BOOLEANP-IN))
 (9 9 (:REWRITE DEFAULT-<-2))
 (9 9 (:REWRITE DEFAULT-<-1))
 (8 4 (:REWRITE ZF::IFF-IMPLIES-EQUAL))
 (6 2 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (6 2 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (4 4 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (4 4 (:TYPE-PRESCRIPTION BOOLEANP))
 (4 4 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (4 4 (:REWRITE ZF::IN-IS-LINEAR-NECC-REWRITE))
 (4 4 (:REWRITE DEFAULT-+-2))
 (4 4 (:REWRITE DEFAULT-+-1))
 (3 1 (:REWRITE ZF::SUBSET-CRITERION))
 (2 2 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-2))
 (2 2 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-1))
 (2 2 (:REWRITE ZF::SUBSET-TRANSITIVITY))
 (2 2 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (2 2 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (2 2 (:REWRITE ZF::ORDINALS-CLOSURE-2-LEMMA))
 (2 2 (:REWRITE ZF::DOMAIN-RESTRICT-2))
 (2 1 (:REWRITE ZF::IN-ASYMMETRIC))
 (1 1 (:REWRITE ZF::IN-CAR-DOMAIN-ALT))
 (1 1 (:REWRITE ZF::DOMAIN-RESTRICT-1))
 )
(ZF::FINSEQ-TO-LIST
 (930 5 (:REWRITE ZF::IN-PROD2))
 (925 5 (:DEFINITION ZF::PROD-MEMBER))
 (744 20 (:REWRITE ZF::RELATION-P-NECC))
 (673 82 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (378 3 (:REWRITE ZF::INT2-WHEN-SUBSET-COMMUTED))
 (277 19 (:REWRITE ZF::CAR-PRESERVES-IN-FOR-TRANSITIVE))
 (257 3 (:REWRITE ZF::INT2-WHEN-SUBSET))
 (254 8 (:DEFINITION O-FIRST-EXPT))
 (231 82 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (226 226 (:REWRITE ZF::ORDINALS-CLOSURE))
 (212 27 (:REWRITE DEFAULT-CAR))
 (187 6 (:REWRITE ZF::CDR-PRESERVES-IN-FOR-TRANSITIVE))
 (168 5 (:DEFINITION O-FIRST-COEFF))
 (162 14 (:REWRITE DEFAULT-CDR))
 (155 155 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (114 60 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (86 43 (:REWRITE ZF::IN-ASYMMETRIC))
 (82 82 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-2))
 (82 82 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-1))
 (82 82 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (82 82 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (82 82 (:REWRITE ZF::ORDINALS-CLOSURE-2-LEMMA))
 (82 82 (:REWRITE ZF::DOMAIN-RESTRICT-2))
 (74 1 (:REWRITE ZF::FUNP-NECC))
 (67 24 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (60 60 (:REWRITE ZF::ORDINALS-CLOSURE-2))
 (53 7 (:REWRITE ZF::ORDINAL-TRICHOTOMY))
 (30 30 (:REWRITE ZF::TRANSITIVE-0))
 (29 11 (:REWRITE ZF::IN-FINSEQS-LEMMA))
 (24 3 (:REWRITE ZF::IN-POSP-IMPLIES-SUBSET-N-1))
 (23 23 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (21 21 (:REWRITE ZF::0-IS-EMPTYSET))
 (20 20 (:REWRITE ZF::RELATION-P-0))
 (19 7 (:REWRITE ZF::IFF-IMPLIES-EQUAL))
 (18 3 (:REWRITE ZP-OPEN))
 (16 14 (:REWRITE DEFAULT-<-2))
 (16 14 (:REWRITE DEFAULT-<-1))
 (16 2 (:REWRITE ZF::ORDINAL-P-INT2))
 (12 12 (:TYPE-PRESCRIPTION BOOLEANP))
 (12 12 (:REWRITE ZF::SUBSET-IMAGE))
 (10 10 (:REWRITE ZF::IN-CAR-DOMAIN-ALT))
 (10 10 (:REWRITE ZF::DOMAIN-RESTRICT-1))
 (8 4 (:DEFINITION O-RST))
 (7 7 (:REWRITE ZF::IN-IS-LINEAR-NECC-REWRITE))
 (7 7 (:REWRITE ZF::IN-IMAGE-SUFF))
 (7 7 (:REWRITE ZF::IMAGE-RESTRICT-1))
 (7 1 (:REWRITE ZF::FUNP-RCOMPOSE-LEMMA))
 (6 6 (:REWRITE DEFAULT-+-2))
 (6 6 (:REWRITE DEFAULT-+-1))
 (5 5 (:REWRITE ZF::SUBSET-NECC-BETTER-2))
 (5 5 (:REWRITE ZF::SUBSET-NECC-BETTER-1))
 (4 4 (:REWRITE ZF::V$FUNP))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 4 (:REWRITE ZF::FUNP-0))
 (3 3 (:TYPE-PRESCRIPTION ZP))
 (3 1 (:DEFINITION POSP))
 (1 1 (:REWRITE ZF::FINSEQS$COMPREHENSION))
 )
(ZF::CONSP-FINSEQ-TO-LIST-TYPE-PRESCRIPTION
 (204 1 (:REWRITE ZF::IN-PROD2))
 (203 1 (:DEFINITION ZF::PROD-MEMBER))
 (122 15 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (91 6 (:REWRITE ZF::APPLY-DEFAULT))
 (70 1 (:REWRITE ZF::APPLY-RESTRICT))
 (64 64 (:REWRITE ZF::ORDINALS-CLOSURE))
 (58 1 (:REWRITE ZF::RELATION-P-NECC))
 (43 3 (:REWRITE ZF::IN-CONS-APPLY))
 (36 1 (:REWRITE ZF::CDR-PRESERVES-IN-FOR-TRANSITIVE))
 (36 1 (:REWRITE ZF::CAR-PRESERVES-IN-FOR-TRANSITIVE))
 (33 15 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (32 15 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (25 25 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (18 18 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-2))
 (18 18 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-1))
 (18 18 (:REWRITE ZF::ORDINALS-CLOSURE-2-LEMMA))
 (18 18 (:REWRITE ZF::DOMAIN-RESTRICT-2))
 (18 6 (:REWRITE ZF::IN-FINSEQS-LEMMA))
 (16 2 (:REWRITE ZF::ORDINAL-TRICHOTOMY))
 (15 15 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (15 15 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (13 4 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (12 2 (:REWRITE ZF::DOMAIN-RESTRICT))
 (11 11 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (10 5 (:REWRITE ZF::IN-ASYMMETRIC))
 (8 2 (:REWRITE ZF::INT2-NATP))
 (6 2 (:REWRITE ZF::IFF-IMPLIES-EQUAL))
 (6 2 (:DEFINITION MIN))
 (4 4 (:TYPE-PRESCRIPTION BOOLEANP))
 (4 4 (:REWRITE ZF::ORDINALS-CLOSURE-2))
 (3 3 (:REWRITE ZF::SUBSET-IMAGE))
 (3 3 (:REWRITE DEFAULT-+-2))
 (3 3 (:REWRITE DEFAULT-+-1))
 (2 2 (:REWRITE ZF::IN-IS-LINEAR-NECC-REWRITE))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE ZF::SUBSET-NECC-BETTER-2))
 (1 1 (:REWRITE ZF::SUBSET-NECC-BETTER-1))
 (1 1 (:REWRITE ZF::RELATION-P-0))
 (1 1 (:REWRITE ZF::IN-IMAGE-SUFF))
 (1 1 (:REWRITE ZF::IN-CAR-DOMAIN-ALT))
 (1 1 (:REWRITE ZF::IMAGE-RESTRICT-ALT))
 (1 1 (:REWRITE ZF::IMAGE-RESTRICT-1))
 (1 1 (:REWRITE ZF::FUNP-RESTRICT))
 (1 1 (:REWRITE ZF::DOMAIN-RESTRICT-1))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE ZF::0-IS-EMPTYSET))
 )
(ZF::LAST-FINSEQ-TYPE
 (523 5 (:REWRITE ZF::SUBSET-CRITERION))
 (387 41 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-2))
 (340 40 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (338 40 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (312 41 (:REWRITE ZF::ORDINAL-PROPER-SUBSET-IS-ELEMENT))
 (287 3 (:REWRITE ZF::CDR-PRESERVES-IN-FOR-TRANSITIVE))
 (287 3 (:REWRITE ZF::CAR-PRESERVES-IN-FOR-TRANSITIVE))
 (259 3 (:REWRITE ZF::RELATION-P-NECC))
 (255 47 (:REWRITE ZF::ORDINAL-P-PROPERTIES))
 (208 100 (:REWRITE ZF::NATP-IMPLIES-ORDINAL-P))
 (145 145 (:TYPE-PRESCRIPTION ZF::ORDINAL-P))
 (134 41 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-1))
 (101 37 (:REWRITE ZF::IN-NATP))
 (100 100 (:REWRITE ZF::ORDINALS-CLOSURE))
 (83 5 (:REWRITE ZF::TRANSITIVE-NECC))
 (78 76 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (63 1 (:REWRITE ZF::IN-IMAGE))
 (61 61 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (60 60 (:TYPE-PRESCRIPTION ZF::OMEGA-IS-NOT-NATP))
 (49 1 (:REWRITE ZF::EQUAL-APPLY))
 (44 14 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (42 42 (:REWRITE ZF::ORDINAL-P-OMEGA))
 (41 41 (:REWRITE ZF::ORDINALS-CLOSURE-2-LEMMA))
 (41 41 (:REWRITE ZF::DOMAIN-RESTRICT-2))
 (40 40 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (30 15 (:REWRITE ZF::IN-ASYMMETRIC))
 (29 3 (:REWRITE ZF::APPLY-DEFAULT))
 (21 3 (:REWRITE ZF::ORDINAL-TRICHOTOMY))
 (19 1 (:REWRITE ZF::IN-CONS-APPLY))
 (16 7 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (14 14 (:REWRITE ZF::ORDINALS-CLOSURE-2))
 (11 1 (:REWRITE ZF::SUBSET-X-0))
 (9 3 (:REWRITE ZF::IFF-IMPLIES-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION BOOLEANP))
 (6 6 (:REWRITE ZF::SUBSET-IMAGE))
 (6 6 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (5 5 (:REWRITE ZF::SUBSET-TRANSITIVITY))
 (4 4 (:REWRITE ZF::IN-IMAGE-SUFF))
 (4 4 (:REWRITE ZF::IMAGE-RESTRICT-1))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 2 (:REWRITE ZF::IN-FINSEQS-LEMMA))
 (3 3 (:REWRITE ZF::RELATION-P-0))
 (3 3 (:REWRITE ZF::IN-IS-LINEAR-NECC-REWRITE))
 (3 3 (:REWRITE ZF::DOMAIN-RESTRICT-1))
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE ZF::SUBSET-NECC-BETTER-2))
 (1 1 (:REWRITE ZF::SUBSET-IMAGE-0))
 )
(ZF::NATP-FINSEQ-CDR
 (8 1 (:REWRITE ZF::ORDINAL-TRICHOTOMY))
 (4 4 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (4 1 (:REWRITE ZF::NATP-IMPLIES-ORDINAL-P))
 (4 1 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (3 1 (:REWRITE ZF::IFF-IMPLIES-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION ZF::ORDINAL-P))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP))
 (2 2 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (1 1 (:REWRITE ZF::ORDINALS-CLOSURE))
 (1 1 (:REWRITE ZF::IN-IS-LINEAR-NECC-REWRITE))
 (1 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(ZF::IN-N-MINUS-1
 (27 1 (:REWRITE ZF::ORDINAL-TRICHOTOMY))
 (18 3 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (12 3 (:REWRITE ZF::ORDINAL-P-PROPERTIES))
 (10 3 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (5 5 (:TYPE-PRESCRIPTION ZF::ORDINAL-P))
 (5 5 (:REWRITE ZF::ORDINALS-CLOSURE))
 (5 5 (:REWRITE ZF::NATP-IMPLIES-ORDINAL-P))
 (5 5 (:REWRITE DEFAULT-<-2))
 (5 5 (:REWRITE DEFAULT-<-1))
 (5 3 (:REWRITE ZF::IN-ASYMMETRIC))
 (3 3 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (3 3 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-2))
 (3 3 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-1))
 (3 3 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (3 3 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (3 3 (:REWRITE ZF::ORDINALS-CLOSURE-2-LEMMA))
 (3 3 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (3 3 (:REWRITE ZF::DOMAIN-RESTRICT-2))
 (2 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE ZF::IN-IS-LINEAR-NECC-REWRITE))
 (1 1 (:REWRITE ZF::IFF-IMPLIES-EQUAL))
 )
(ZF::FINSEQ-FOLD-1-1
 (307 39 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-1))
 (301 6 (:REWRITE ZF::APPLY-DEFAULT))
 (275 36 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (256 39 (:REWRITE ZF::ORDINAL-PROPER-SUBSET-IS-ELEMENT))
 (242 39 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-2))
 (181 3 (:REWRITE ZF::IN-CONS-APPLY))
 (176 39 (:REWRITE ZF::ORDINAL-P-PROPERTIES))
 (171 84 (:REWRITE ZF::NATP-IMPLIES-ORDINAL-P))
 (130 130 (:TYPE-PRESCRIPTION ZF::ORDINAL-P))
 (99 16 (:REWRITE ZF::ORDINAL-TRICHOTOMY))
 (84 84 (:REWRITE ZF::ORDINALS-CLOSURE))
 (78 35 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (64 64 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (58 58 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (56 6 (:REWRITE ZF::TRANSITIVE-NECC))
 (50 2 (:REWRITE ZF::DOMAIN-PRESERVES-SUBSET))
 (46 19 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (39 39 (:REWRITE ZF::ORDINALS-CLOSURE-2-LEMMA))
 (39 39 (:REWRITE ZF::DOMAIN-RESTRICT-2))
 (36 36 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (28 16 (:REWRITE ZF::IFF-IMPLIES-EQUAL))
 (27 14 (:REWRITE ZF::IN-ASYMMETRIC))
 (21 6 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (19 19 (:REWRITE ZF::ORDINALS-CLOSURE-2))
 (18 18 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (18 18 (:REWRITE DEFAULT-CAR))
 (16 16 (:REWRITE ZF::IN-IS-LINEAR-NECC-REWRITE))
 (16 2 (:REWRITE ZF::IN-POSP-IMPLIES-SUBSET-N-1))
 (13 13 (:REWRITE DEFAULT-+-2))
 (13 13 (:REWRITE DEFAULT-+-1))
 (12 12 (:TYPE-PRESCRIPTION BOOLEANP))
 (12 12 (:REWRITE ZF::DOMAIN-RESTRICT-1))
 (12 2 (:REWRITE ZP-OPEN))
 (12 2 (:REWRITE ZF::CAR-PRESERVES-IN-FOR-TRANSITIVE))
 (6 6 (:REWRITE ZF::SUBSET-TRANSITIVITY))
 (6 6 (:REWRITE DEFAULT-CDR))
 (6 6 (:REWRITE DEFAULT-<-2))
 (6 6 (:REWRITE DEFAULT-<-1))
 (2 2 (:TYPE-PRESCRIPTION ZP))
 )
(ZF::FINSEQ-FOLD-1
 (2872 18 (:REWRITE ZF::IN-N-MINUS-1))
 (2192 19 (:REWRITE ZF::CAR-PRESERVES-IN-FOR-TRANSITIVE))
 (2002 173 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-1))
 (1916 165 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (1905 173 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-2))
 (1048 165 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (998 57 (:REWRITE ZF::ORDINAL-TRICHOTOMY))
 (764 164 (:REWRITE ZF::ORDINAL-P-PROPERTIES))
 (735 173 (:REWRITE ZF::ORDINAL-PROPER-SUBSET-IS-ELEMENT))
 (569 278 (:REWRITE ZF::NATP-IMPLIES-ORDINAL-P))
 (394 394 (:TYPE-PRESCRIPTION ZF::ORDINAL-P))
 (342 31 (:REWRITE ZF::TRANSITIVE-NECC))
 (299 5 (:REWRITE ZF::APPLY-DEFAULT))
 (281 36 (:REWRITE ZF::IN-CAR-DOMAIN-ALT))
 (280 161 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (278 278 (:REWRITE ZF::ORDINALS-CLOSURE))
 (213 213 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (205 192 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (173 173 (:REWRITE ZF::ORDINALS-CLOSURE-2-LEMMA))
 (173 173 (:REWRITE ZF::DOMAIN-RESTRICT-2))
 (113 57 (:REWRITE ZF::IFF-IMPLIES-EQUAL))
 (109 49 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (84 1 (:REWRITE ZF::SUBSET-PAIR))
 (80 34 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (76 39 (:REWRITE ZF::IN-ASYMMETRIC))
 (63 6 (:REWRITE ZF::IN-POSP-IMPLIES-SUBSET-N-1))
 (60 1 (:REWRITE ZF::IN-CONS-APPLY))
 (57 57 (:REWRITE ZF::IN-IS-LINEAR-NECC-REWRITE))
 (56 56 (:TYPE-PRESCRIPTION BOOLEANP))
 (54 49 (:REWRITE DEFAULT-CAR))
 (49 49 (:REWRITE ZF::ORDINALS-CLOSURE-2))
 (44 3 (:REWRITE ZF::DOMAIN-PRESERVES-SUBSET))
 (36 36 (:REWRITE ZF::DOMAIN-RESTRICT-1))
 (34 34 (:REWRITE ZF::RELATION-P-NECC))
 (32 31 (:REWRITE ZF::SUBSET-TRANSITIVITY))
 (15 15 (:REWRITE DEFAULT-+-2))
 (15 15 (:REWRITE DEFAULT-+-1))
 (11 11 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (10 10 (:REWRITE ZF::DOMAIN-PAIR-LEMMA))
 (9 8 (:REWRITE DEFAULT-<-2))
 (9 8 (:REWRITE DEFAULT-<-1))
 (6 1 (:REWRITE ZP-OPEN))
 (4 4 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 )
(ZF::FINSEQ-FOLD
 (3011 18 (:REWRITE ZF::CAR-PRESERVES-IN-FOR-TRANSITIVE))
 (2319 39 (:REWRITE ZF::IN-N-MINUS-1))
 (2125 3 (:REWRITE ZF::IN-UNION2))
 (2070 210 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (1794 210 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (1531 210 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (1179 247 (:REWRITE ZF::ORDINAL-P-PROPERTIES))
 (848 53 (:REWRITE ZF::TRANSITIVE-NECC))
 (843 6 (:REWRITE ZF::IN-PAIR))
 (781 53 (:REWRITE ZF::SUBSET-TRANSITIVITY))
 (763 228 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-2))
 (636 228 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-1))
 (445 247 (:REWRITE ZF::NATP-IMPLIES-ORDINAL-P))
 (398 380 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (329 329 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (329 329 (:TYPE-PRESCRIPTION ZF::ORDINAL-P))
 (250 82 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (247 247 (:REWRITE ZF::ORDINALS-CLOSURE))
 (228 228 (:REWRITE ZF::ORDINALS-CLOSURE-2-LEMMA))
 (228 228 (:REWRITE ZF::DOMAIN-RESTRICT-2))
 (193 19 (:REWRITE ZF::SUBSET-NECC-BETTER-2))
 (149 56 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (134 67 (:REWRITE ZF::IN-ASYMMETRIC))
 (112 112 (:REWRITE DEFAULT-<-2))
 (112 112 (:REWRITE DEFAULT-<-1))
 (103 14 (:REWRITE ZF::ORDINAL-TRICHOTOMY))
 (95 9 (:REWRITE ZF::APPLY-DEFAULT))
 (89 89 (:REWRITE ZF::DOMAIN-RESTRICT-1))
 (82 82 (:REWRITE ZF::ORDINALS-CLOSURE-2))
 (74 6 (:REWRITE ZF::IN-POSP-IMPLIES-SUBSET-N-1))
 (42 14 (:REWRITE ZF::IFF-IMPLIES-EQUAL))
 (36 3 (:REWRITE ZF::FINSEQ-FOLD-1))
 (28 28 (:TYPE-PRESCRIPTION BOOLEANP))
 (27 27 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (24 24 (:REWRITE ZF::RELATION-P-NECC))
 (24 4 (:REWRITE ZP-OPEN))
 (19 19 (:REWRITE ZF::SUBSET-NECC-BETTER-1))
 (18 9 (:REWRITE DEFAULT-CAR))
 (15 15 (:REWRITE DEFAULT-+-2))
 (15 15 (:REWRITE DEFAULT-+-1))
 (14 14 (:REWRITE ZF::IN-IS-LINEAR-NECC-REWRITE))
 (9 9 (:REWRITE ZF::FINSEQ-FOLD-1-1))
 (6 6 (:REWRITE ZF::DOMAIN-PAIR-LEMMA))
 (4 4 (:TYPE-PRESCRIPTION ZP))
 )
