(HOL::HOL{EVAL_POLY}0-ALT)
(HOL::HOL{EVAL_POLY}1-ALT
 (9899 426 (:REWRITE ZF::RELATION-P-NECC))
 (5021 415 (:REWRITE ZF::FUNP-HP-CONS-LEMMA))
 (3690 126 (:DEFINITION LEN))
 (3067 295 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (2633 437 (:REWRITE DEFAULT-CAR))
 (2568 622 (:REWRITE DEFAULT-CDR))
 (2078 2078 (:TYPE-PRESCRIPTION NATP))
 (1886 289 (:REWRITE ZF::ORDINAL-TRICHOTOMY))
 (1814 2 (:DEFINITION ZF::HOL-LIST-TYPEP))
 (1614 1614 (:TYPE-PRESCRIPTION ZF::ORDINAL-P))
 (1604 494 (:REWRITE ZF::ORDINAL-P-PROPERTIES))
 (1449 207 (:REWRITE ZF::CDR-PRESERVES-IN-FOR-TRANSITIVE))
 (1415 295 (:REWRITE ZF::ORDINAL-PROPER-SUBSET-IS-ELEMENT))
 (1404 809 (:REWRITE ZF::NATP-IMPLIES-ORDINAL-P))
 (1103 20 (:REWRITE HOL::HOL{EVAL_POLY}0-ALT))
 (1029 1029 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (986 986 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (833 833 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (809 809 (:REWRITE ZF::ORDINALS-CLOSURE))
 (693 295 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (601 24 (:REWRITE ZF::TYPE-10-ALT))
 (495 492 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (492 492 (:REWRITE ZF::ORDINALS-CLOSURE-2))
 (491 491 (:REWRITE ZF::TRANSITIVE-0))
 (426 426 (:REWRITE ZF::RELATION-P-0))
 (415 415 (:REWRITE ZF::V$FUNP))
 (415 415 (:REWRITE ZF::FUNP-0))
 (379 379 (:REWRITE ZF::DOMAIN-0))
 (377 377 (:REWRITE ZF::V-MAP$DOMAIN))
 (335 143 (:REWRITE DEFAULT-+-2))
 (297 297 (:TYPE-PRESCRIPTION ZF::BOOLEANP-IN))
 (295 295 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-2))
 (295 295 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-1))
 (295 295 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (295 295 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (295 295 (:REWRITE ZF::ORDINALS-CLOSURE-2-LEMMA))
 (295 295 (:REWRITE ZF::DOMAIN-RESTRICT-2))
 (293 293 (:REWRITE ZF::0-IS-EMPTYSET))
 (289 289 (:REWRITE ZF::IN-IS-LINEAR-NECC-REWRITE))
 (191 143 (:REWRITE DEFAULT-+-1))
 (117 54 (:REWRITE ZF::HPP-MONOTONE-FOR-ALIST-SUBSETP))
 (106 49 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (81 10 (:REWRITE ZF::TYPE-9))
 (72 9 (:REWRITE DEFAULT-*-2))
 (63 9 (:REWRITE ZF::CAR-PRESERVES-IN-FOR-TRANSITIVE))
 (54 18 (:DEFINITION TRUE-LISTP))
 (43 43 (:TYPE-PRESCRIPTION ZF::HP-NIL))
 (38 24 (:REWRITE DEFAULT-<-2))
 (31 2 (:REWRITE ZF::TYPE-10))
 (24 24 (:REWRITE DEFAULT-<-1))
 (24 9 (:REWRITE DEFAULT-*-1))
 (18 18 (:REWRITE DEFAULT-SYMBOL-PACKAGE-NAME))
 (16 16 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (16 16 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (9 9 (:TYPE-PRESCRIPTION ZF::OMEGA-IS-NOT-NATP))
 (8 8 (:REWRITE ZF::HP+-REDUCTION))
 (8 8 (:REWRITE ZF::HP*-REDUCTION))
 )
(HOL::HOL{SUC}-ALT
 (9 1 (:REWRITE ZF::FUNP-HP-CONS-LEMMA))
 (8 1 (:REWRITE ZF::ORDINAL-TRICHOTOMY))
 (7 3 (:REWRITE ZF::HPP-MONOTONE-FOR-ALIST-SUBSETP))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:REWRITE DEFAULT-CDR))
 (4 1 (:REWRITE ZF::NATP-IMPLIES-ORDINAL-P))
 (2 2 (:TYPE-PRESCRIPTION ZF::ORDINAL-P))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 (1 1 (:TYPE-PRESCRIPTION ZF::OMEGA-IS-NOT-NATP))
 (1 1 (:REWRITE ZF::V-MAP$DOMAIN))
 (1 1 (:REWRITE ZF::V$FUNP))
 (1 1 (:REWRITE ZF::ORDINALS-CLOSURE))
 (1 1 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (1 1 (:REWRITE ZF::IN-IS-LINEAR-NECC-REWRITE))
 (1 1 (:REWRITE ZF::FUNP-0))
 (1 1 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (1 1 (:REWRITE ZF::DOMAIN-0))
 )
(HOL::HOL{EXP}-ALT
 (3110 147 (:REWRITE ZF::ORDINAL-TRICHOTOMY))
 (1459 80 (:REWRITE ZF::ORDINAL-PROPER-SUBSET-IS-ELEMENT))
 (1307 147 (:REWRITE ZF::FUNP-HP-CONS-LEMMA))
 (862 6 (:REWRITE ZF::HOL-TYPEP-MONOTONE-FOR-ALIST-SUBSETP))
 (768 25 (:REWRITE ZF::CAR-PRESERVES-IN-FOR-TRANSITIVE))
 (722 471 (:REWRITE ZF::NATP-IMPLIES-ORDINAL-P))
 (717 17 (:REWRITE ZF::RELATION-P-NECC))
 (656 6 (:DEFINITION HONS-ASSOC-EQUAL))
 (602 602 (:TYPE-PRESCRIPTION ZF::ORDINAL-P))
 (480 80 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (471 471 (:REWRITE ZF::ORDINALS-CLOSURE))
 (420 105 (:REWRITE ZF::ORDINAL-P-PROPERTIES))
 (392 106 (:REWRITE DEFAULT-CAR))
 (304 19 (:REWRITE ZF::SUBSET-X-0))
 (171 80 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (169 169 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (167 93 (:REWRITE DEFAULT-CDR))
 (147 147 (:REWRITE ZF::V$FUNP))
 (147 147 (:REWRITE ZF::IN-IS-LINEAR-NECC-REWRITE))
 (147 147 (:REWRITE ZF::FUNP-0))
 (147 147 (:REWRITE ZF::DOMAIN-0))
 (127 127 (:REWRITE ZF::V-MAP$DOMAIN))
 (114 38 (:REWRITE ZF::TYPE-10))
 (105 105 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (102 6 (:DEFINITION HONS-EQUAL))
 (82 82 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (80 80 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-2))
 (80 80 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-1))
 (80 80 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (80 80 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (80 80 (:REWRITE ZF::ORDINALS-CLOSURE-2-LEMMA))
 (80 80 (:REWRITE ZF::DOMAIN-RESTRICT-2))
 (76 38 (:REWRITE ZF::IN-ASYMMETRIC))
 (76 38 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (72 9 (:REWRITE DEFAULT-*-2))
 (68 68 (:TYPE-PRESCRIPTION ZF::HTA0))
 (61 61 (:REWRITE ZF::0-IS-EMPTYSET))
 (53 48 (:REWRITE DEFAULT-<-1))
 (48 48 (:REWRITE DEFAULT-<-2))
 (44 44 (:TYPE-PRESCRIPTION HONS-ASSOC-EQUAL))
 (41 14 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (38 38 (:TYPE-PRESCRIPTION ZF::HP-NIL))
 (34 34 (:TYPE-PRESCRIPTION HOL::EVAL-POLY$HTA))
 (21 3 (:REWRITE ZF::NATP-*))
 (17 17 (:REWRITE ZF::RELATION-P-0))
 (15 15 (:REWRITE DEFAULT-+-2))
 (15 15 (:REWRITE DEFAULT-+-1))
 (9 9 (:REWRITE DEFAULT-*-1))
 (6 6 (:REWRITE ZF::ALIST-SUBSETP-PRESERVES-ASSOC-ON-KEYS))
 (5 1 (:REWRITE HOL::HOL{SUC}))
 (2 2 (:REWRITE HOL::HONS-ASSOC-EQUAL-NUM-EVAL-POLY$HTA))
 (1 1 (:REWRITE ZF::NATP-+))
 )
(HOL::HOL{SUM_POLYS}0-ALT)
(HOL::HOL{SUM_POLYS}1-ALT
 (53 7 (:REWRITE DEFAULT-CDR))
 (39 4 (:REWRITE ZF::FUNP-HP-CONS-LEMMA))
 (39 2 (:REWRITE ZF::RELATION-P-NECC))
 (30 12 (:REWRITE ZF::HPP-MONOTONE-FOR-ALIST-SUBSETP))
 (24 4 (:REWRITE ZF::ORDINAL-TRICHOTOMY))
 (20 6 (:REWRITE ZF::NATP-IMPLIES-ORDINAL-P))
 (17 9 (:REWRITE DEFAULT-CAR))
 (16 16 (:TYPE-PRESCRIPTION NATP))
 (16 16 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (16 1 (:REWRITE ZF::CAR-HP-CONS))
 (14 1 (:REWRITE ZF::ORDINAL-PROPER-SUBSET-IS-ELEMENT))
 (10 10 (:TYPE-PRESCRIPTION ZF::ORDINAL-P))
 (8 8 (:REWRITE ZF::DOMAIN-0))
 (7 2 (:REWRITE ZF::CONSP-HP-LIST-CAR))
 (7 1 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (6 6 (:REWRITE ZF::ORDINALS-CLOSURE))
 (6 6 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (6 6 (:REWRITE ZF::FUNP-0))
 (6 1 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (4 4 (:REWRITE ZF::V$FUNP))
 (4 4 (:REWRITE ZF::IN-IS-LINEAR-NECC-REWRITE))
 (4 1 (:REWRITE ZF::ORDINAL-P-PROPERTIES))
 (3 3 (:REWRITE ZF::V-MAP$DOMAIN))
 (3 1 (:REWRITE ZF::CDR-HP-CONS))
 (2 2 (:REWRITE ZF::RELATION-P-0))
 (1 1 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (1 1 (:TYPE-PRESCRIPTION ZF::BOOLEANP-IN))
 (1 1 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-2))
 (1 1 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-1))
 (1 1 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (1 1 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (1 1 (:REWRITE ZF::ORDINALS-CLOSURE-2-LEMMA))
 (1 1 (:REWRITE ZF::DOMAIN-RESTRICT-2))
 (1 1 (:REWRITE ZF::0-IS-EMPTYSET))
 )
(HOL::HOL{SUM_POLYS}2-ALT
 (64532 28 (:DEFINITION ZF::HP-COMMA-P))
 (59964 60 (:DEFINITION ZF::WEAK-HOL-TYPEP))
 (31817 28 (:DEFINITION ZF::WEAK-HPP))
 (29890 1597 (:REWRITE ZF::RELATION-P-NECC))
 (29820 28 (:DEFINITION ZF::HOL-HASH-TYPEP))
 (27840 420 (:REWRITE ZF::EQUAL-LEN-N))
 (24000 360 (:DEFINITION MEMBER-EQUAL))
 (22224 1800 (:REWRITE ZF::FUNP-HP-CONS-LEMMA))
 (13406 504 (:REWRITE ZF::TYPE-8))
 (12300 420 (:DEFINITION LEN))
 (11705 487 (:REWRITE ZF::TYPE-10-ALT))
 (9537 1380 (:REWRITE ZF::ORDINAL-TRICHOTOMY))
 (9478 9478 (:TYPE-PRESCRIPTION NATP))
 (8585 1586 (:REWRITE DEFAULT-CAR))
 (8473 913 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (6789 1904 (:REWRITE DEFAULT-CDR))
 (5970 2745 (:REWRITE ZF::NATP-IMPLIES-ORDINAL-P))
 (5830 58 (:REWRITE ZF::CONSP-HP-LIST-CAR))
 (5490 5490 (:TYPE-PRESCRIPTION ZF::ORDINAL-P))
 (4830 690 (:REWRITE ZF::CDR-PRESERVES-IN-FOR-TRANSITIVE))
 (4728 4728 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (4486 1462 (:REWRITE ZF::ORDINAL-P-PROPERTIES))
 (4200 120 (:DEFINITION ATOM))
 (3937 913 (:REWRITE ZF::ORDINAL-PROPER-SUBSET-IS-ELEMENT))
 (3879 3879 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (3628 4 (:DEFINITION ZF::HOL-LIST-TYPEP))
 (3048 88 (:REWRITE ZF::CONSP-CAR-HP-LIST-CAR))
 (2924 2924 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (2745 2745 (:REWRITE ZF::ORDINALS-CLOSURE))
 (2542 82 (:DEFINITION POSP))
 (2100 2100 (:TYPE-PRESCRIPTION LEN))
 (2026 913 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (1800 1800 (:REWRITE ZF::V$FUNP))
 (1800 1800 (:REWRITE ZF::FUNP-0))
 (1711 75 (:DEFINITION ZF::HP-NIL-P))
 (1655 1655 (:REWRITE ZF::DOMAIN-0))
 (1653 1653 (:REWRITE ZF::V-MAP$DOMAIN))
 (1597 1597 (:REWRITE ZF::RELATION-P-0))
 (1564 62 (:REWRITE HOL::HOL{SUM_POLYS}1-ALT))
 (1500 60 (:DEFINITION KEYWORDP))
 (1481 62 (:REWRITE HOL::HOL{SUM_POLYS}0-ALT))
 (1462 1462 (:REWRITE ZF::TRANSITIVE-0))
 (1462 1462 (:REWRITE ZF::ORDINALS-CLOSURE-2))
 (1462 1462 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (1380 1380 (:REWRITE ZF::IN-IS-LINEAR-NECC-REWRITE))
 (1020 420 (:REWRITE ZF::NTH-EXPAND))
 (1012 502 (:REWRITE DEFAULT-<-2))
 (960 435 (:REWRITE DEFAULT-+-2))
 (913 913 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-2))
 (913 913 (:REWRITE ZF::TRANSITIVE-PRESERVES-IN-1))
 (913 913 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (913 913 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (913 913 (:REWRITE ZF::ORDINALS-CLOSURE-2-LEMMA))
 (913 913 (:REWRITE ZF::DOMAIN-RESTRICT-2))
 (913 913 (:REWRITE ZF::0-IS-EMPTYSET))
 (720 120 (:DEFINITION LENGTH))
 (710 30 (:REWRITE ZF::TYPE-10))
 (645 465 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (607 502 (:REWRITE DEFAULT-<-1))
 (540 435 (:REWRITE DEFAULT-+-1))
 (517 517 (:TYPE-PRESCRIPTION ZF::HP-NIL))
 (473 201 (:REWRITE ZF::HPP-MONOTONE-FOR-ALIST-SUBSETP))
 (468 60 (:DEFINITION TRUE-LISTP))
 (360 180 (:DEFINITION NTH))
 (240 240 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (240 240 (:TYPE-PRESCRIPTION STRINGP-SYMBOL-PACKAGE-NAME))
 (240 240 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (143 26 (:REWRITE ZF::HPP-HP-CONS))
 (130 26 (:REWRITE ZF::HPP-HP-CONS-HP-COMMA))
 (126 30 (:REWRITE ZF::CAR-PRESERVES-IN-FOR-TRANSITIVE))
 (91 91 (:TYPE-PRESCRIPTION ZF::HP-CONS))
 (75 75 (:TYPE-PRESCRIPTION ZF::HP-NIL-P))
 (60 60 (:REWRITE DEFAULT-SYMBOL-PACKAGE-NAME))
 (14 14 (:REWRITE ZF::HP+-REDUCTION))
 (13 13 (:REWRITE ZF::CDR-HP-CONS))
 (13 13 (:REWRITE ZF::CAR-HP-CONS))
 (10 10 (:TYPE-PRESCRIPTION ZF::OMEGA-IS-NOT-NATP))
 )
(HOL::HOL{COND}
 (66 6 (:REWRITE ZF::FUNP-HP-CONS-LEMMA))
 (63 27 (:REWRITE ZF::HPP-MONOTONE-FOR-ALIST-SUBSETP))
 (38 6 (:REWRITE ZF::ORDINAL-TRICHOTOMY))
 (22 22 (:TYPE-PRESCRIPTION NATP))
 (22 22 (:REWRITE DEFAULT-CDR))
 (14 6 (:REWRITE ZF::NATP-IMPLIES-ORDINAL-P))
 (12 12 (:TYPE-PRESCRIPTION ZF::ORDINAL-P))
 (12 12 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (8 8 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (6 6 (:REWRITE ZF::V-MAP$DOMAIN))
 (6 6 (:REWRITE ZF::V$FUNP))
 (6 6 (:REWRITE ZF::ORDINALS-CLOSURE))
 (6 6 (:REWRITE ZF::IN-IS-LINEAR-NECC-REWRITE))
 (6 6 (:REWRITE ZF::FUNP-0))
 (6 6 (:REWRITE ZF::DOMAIN-0))
 (2 2 (:REWRITE DEFAULT-CAR))
 )
(HOL::SUM_POLYS$TYPE-PART-2-ALT)
