(MODAPP::BADGE-USERFN!)
(MODAPP::BADGE!)
(MODAPP::BADGE!-TYPE
 (159 1 (:DEFINITION MODAPP::APPLY$-BADGEP))
 (73 43 (:REWRITE DEFAULT-CDR))
 (49 1 (:DEFINITION SUBSETP-EQUAL))
 (46 4 (:DEFINITION MEMBER-EQUAL))
 (24 4 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 3))
 (24 2 (:DEFINITION NATP))
 (15 12 (:REWRITE DEFAULT-CAR))
 (12 2 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 1))
 (11 1 (:DEFINITION LEN))
 (8 1 (:DEFINITION TRUE-LISTP))
 (6 1 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 2))
 (4 1 (:DEFINITION MODAPP::WEAK-APPLY$-BADGE-P))
 (3 3 (:TYPE-PRESCRIPTION LEN))
 (3 1 (:DEFINITION ALL-NILS))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:TYPE-PRESCRIPTION MODAPP::WEAK-APPLY$-BADGE-P))
 (1 1 (:TYPE-PRESCRIPTION ALL-NILS))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(MODAPP::UNTAME-APPLY$!
 (43 43 (:REWRITE DEFAULT-CDR))
 (31 1 (:DEFINITION SUBSETP-EQUAL))
 (28 4 (:DEFINITION MEMBER-EQUAL))
 (16 4 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 3))
 (12 12 (:REWRITE DEFAULT-CAR))
 (9 1 (:DEFINITION LEN))
 (8 2 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 1))
 (6 1 (:DEFINITION TRUE-LISTP))
 (4 1 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 2))
 (3 1 (:DEFINITION ALL-NILS))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(MODAPP::UNTAME-EV$)
(MODAPP::TAMEP!
 (1140 540 (:REWRITE DEFAULT-+-2))
 (736 540 (:REWRITE DEFAULT-+-1))
 (304 76 (:DEFINITION INTEGER-ABS))
 (304 38 (:DEFINITION LENGTH))
 (264 264 (:REWRITE DEFAULT-CAR))
 (233 233 (:REWRITE DEFAULT-CDR))
 (190 38 (:DEFINITION LEN))
 (150 30 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 1))
 (114 38 (:DEFINITION MODAPP::APPLY$-BADGEP))
 (91 83 (:REWRITE DEFAULT-<-2))
 (90 83 (:REWRITE DEFAULT-<-1))
 (76 76 (:REWRITE DEFAULT-UNARY-MINUS))
 (76 38 (:DEFINITION MODAPP::WEAK-APPLY$-BADGE-P))
 (40 8 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 2))
 (38 38 (:TYPE-PRESCRIPTION LEN))
 (38 38 (:TYPE-PRESCRIPTION MODAPP::APPLY$-BADGEP))
 (38 38 (:REWRITE DEFAULT-REALPART))
 (38 38 (:REWRITE DEFAULT-NUMERATOR))
 (38 38 (:REWRITE DEFAULT-IMAGPART))
 (38 38 (:REWRITE DEFAULT-DENOMINATOR))
 (38 38 (:REWRITE DEFAULT-COERCE-2))
 (38 38 (:REWRITE DEFAULT-COERCE-1))
 (9 3 (:DEFINITION SYMBOL-LISTP))
 (4 4 (:REWRITE ZP-OPEN))
 )
(MODAPP::WEIGHT)
(MODAPP::NATP-WEIGHT)
(MODAPP::FN/EXPR-ARGS)
(MODAPP::MAX-WEIGHT)
(MODAPP::APPLY$!-MEASURE)
(MODAPP::EV$!-MEASURE)
(MODAPP::EV$!-LIST-MEASURE)
(MODAPP::APPLY$-USERFN1!-MEASURE)
(MODAPP::APPLY$!
 (421880 2493 (:DEFINITION MODAPP::APPLY$-BADGEP))
 (391091 4796 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 1))
 (233070 2742 (:REWRITE MODAPP::TAMEP-IMPLICANT-1))
 (224844 2742 (:DEFINITION MODAPP::TAMEP))
 (126132 1371 (:DEFINITION TRUE-LISTP))
 (100194 48309 (:REWRITE DEFAULT-+-2))
 (86959 20053 (:REWRITE O-P-O-INFP-CAR))
 (81197 6976 (:DEFINITION LENGTH))
 (67248 1371 (:DEFINITION SUBSETP-EQUAL))
 (62343 48309 (:REWRITE DEFAULT-+-1))
 (59022 5484 (:DEFINITION MEMBER-EQUAL))
 (39258 2092 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 2))
 (30017 3113 (:DEFINITION SYMBOL-LISTP))
 (27426 19740 (:REWRITE O-P-DEF-O-FINP-1))
 (27042 2744 (:DEFINITION NATP))
 (19844 16454 (:REWRITE DEFAULT-<-1))
 (19809 19809 (:TYPE-PRESCRIPTION MODAPP::APPLY$-BADGEP))
 (18533 16454 (:REWRITE DEFAULT-<-2))
 (16452 16452 (:TYPE-PRESCRIPTION MODAPP::TAMEP))
 (16452 16452 (:TYPE-PRESCRIPTION MODAPP::SUITABLY-TAMEP-LISTP))
 (11542 2493 (:DEFINITION MODAPP::WEAK-APPLY$-BADGE-P))
 (10968 5484 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 3))
 (8390 8370 (:REWRITE DEFAULT-UNARY-MINUS))
 (8226 8226 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (8226 4113 (:LINEAR MODAPP::APPLY$-BADGEP-PROPERTIES . 1))
 (8226 2742 (:REWRITE MODAPP::APPLY$-PRIMP-BADGE))
 (8226 1371 (:DEFINITION ALL-NILS))
 (7686 7686 (:TYPE-PRESCRIPTION O-FINP))
 (6976 6976 (:REWRITE DEFAULT-COERCE-2))
 (6976 6976 (:REWRITE DEFAULT-COERCE-1))
 (6855 6855 (:TYPE-PRESCRIPTION ALL-NILS))
 (5484 5484 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (5484 5484 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (5384 1987 (:LINEAR MODAPP::APPLY$-BADGEP-PROPERTIES . 2))
 (4215 4195 (:REWRITE DEFAULT-REALPART))
 (4215 4195 (:REWRITE DEFAULT-IMAGPART))
 (4175 4175 (:REWRITE DEFAULT-NUMERATOR))
 (4175 4175 (:REWRITE DEFAULT-DENOMINATOR))
 (3094 442 (:DEFINITION MODAPP::NATS))
 (1787 461 (:REWRITE ZP-OPEN))
 (1580 293 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (140 20 (:REWRITE IMAGPART-+))
 (105 51 (:REWRITE O-INFP->NEQ-0))
 (100 20 (:REWRITE REALPART-+))
 (100 20 (:REWRITE DISTRIBUTIVITY-OF-MINUS-OVER-+))
 (20 20 (:REWRITE RATIONALP-+))
 (15 1 (:REWRITE O<=-O-FINP-DEF))
 (14 1 (:REWRITE O-FINP-<))
 (6 1 (:REWRITE O-FIRST-EXPT-<))
 (4 2 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (3 1 (:REWRITE AC-<))
 (2 1 (:REWRITE O-INFP-O-FINP-O<=))
 (2 1 (:REWRITE O-FIRST-COEFF-<))
 (1 1 (:REWRITE |a < b & b < c  =>  a < c|))
 )
(MODAPP::LEN-PROW!
 (572 2 (:DEFINITION MODAPP::APPLY$!))
 (280 4 (:DEFINITION MODAPP::TAMEP!))
 (241 240 (:REWRITE DEFAULT-CDR))
 (130 130 (:REWRITE DEFAULT-CAR))
 (116 4 (:DEFINITION MODAPP::TAMEP-FUNCTIONP!))
 (108 26 (:REWRITE O-P-O-INFP-CAR))
 (68 4 (:DEFINITION LENGTH))
 (56 8 (:DEFINITION SYMBOL-LISTP))
 (56 4 (:DEFINITION MODAPP::UNTAME-APPLY$!))
 (52 52 (:TYPE-PRESCRIPTION O-P))
 (52 8 (:DEFINITION TAKE))
 (44 23 (:REWRITE DEFAULT-+-2))
 (32 32 (:REWRITE CAR-CONS))
 (30 26 (:REWRITE O-P-DEF-O-FINP-1))
 (26 2 (:DEFINITION PAIRLIS$))
 (23 23 (:REWRITE DEFAULT-+-1))
 (15 9 (:REWRITE DEFAULT-<-1))
 (14 9 (:REWRITE DEFAULT-<-2))
 (10 10 (:TYPE-PRESCRIPTION MODAPP::TAMEP!))
 (10 2 (:DEFINITION MODAPP::SUITABLY-TAMEP-LISTP!))
 (8 8 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (8 2 (:REWRITE ZP-OPEN))
 (4 4 (:TYPE-PRESCRIPTION O-FINP))
 (4 4 (:REWRITE DEFAULT-COERCE-2))
 (4 4 (:REWRITE DEFAULT-COERCE-1))
 (2 2 (:TYPE-PRESCRIPTION MODAPP::TAMEP-FUNCTIONP!))
 (2 2 (:TYPE-PRESCRIPTION MODAPP::APPLY$-PRIMP))
 (2 2 (:META MODAPP::APPLY$-PRIM-META-FN-CORRECT))
 )
(MODAPP::APPLY$-LAMBDA!)
(MODAPP::APPLY$-USERFN!)
