(MODAPP::BADGE)
(MODAPP::BADGE-TYPE
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 (45 45 (:REWRITE DEFAULT-CDR))
 (37 1 (:DEFINITION SUBSETP-EQUAL))
 (34 4 (:DEFINITION MEMBER-EQUAL))
 (24 4 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 2))
 (12 12 (:REWRITE DEFAULT-CAR))
 (11 1 (:DEFINITION LEN))
 (9 1 (:DEFINITION NATP))
 (8 1 (:DEFINITION TRUE-LISTP))
 (6 1 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 1))
 (3 3 (:TYPE-PRESCRIPTION LEN))
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 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:TYPE-PRESCRIPTION ALL-NILS))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(MODAPP::TAMEP
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 (2839 1332 (:REWRITE DEFAULT-+-2))
 (1820 1332 (:REWRITE DEFAULT-+-1))
 (712 178 (:DEFINITION INTEGER-ABS))
 (712 89 (:DEFINITION LENGTH))
 (537 537 (:REWRITE DEFAULT-CDR))
 (518 518 (:REWRITE DEFAULT-CAR))
 (445 89 (:DEFINITION LEN))
 (416 104 (:REWRITE O-P-O-INFP-CAR))
 (203 190 (:REWRITE DEFAULT-<-2))
 (202 190 (:REWRITE DEFAULT-<-1))
 (178 178 (:REWRITE DEFAULT-UNARY-MINUS))
 (104 104 (:REWRITE O-P-DEF-O-FINP-1))
 (89 89 (:TYPE-PRESCRIPTION LEN))
 (89 89 (:REWRITE DEFAULT-REALPART))
 (89 89 (:REWRITE DEFAULT-NUMERATOR))
 (89 89 (:REWRITE DEFAULT-IMAGPART))
 (89 89 (:REWRITE DEFAULT-DENOMINATOR))
 (89 89 (:REWRITE DEFAULT-COERCE-2))
 (89 89 (:REWRITE DEFAULT-COERCE-1))
 (76 19 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 1))
 (38 19 (:DEFINITION MODAPP::APPLY$-BADGEP))
 (28 4 (:DEFINITION SYMBOL-LISTP))
 (25 8 (:REWRITE AC-<))
 (24 4 (:REWRITE O-FIRST-EXPT-<))
 (19 19 (:TYPE-PRESCRIPTION MODAPP::APPLY$-BADGEP))
 (16 8 (:REWRITE O-INFP-O-FINP-O<=))
 (16 8 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (8 8 (:REWRITE |a < b & b < c  =>  a < c|))
 (8 4 (:REWRITE O-FIRST-COEFF-<))
 (4 4 (:REWRITE ZP-OPEN))
 )
(MODAPP::TAMEP
 (3888 54 (:DEFINITION MODAPP::TAMEP))
 (2631 2631 (:REWRITE DEFAULT-CDR))
 (1260 315 (:REWRITE O-P-O-INFP-CAR))
 (1107 1107 (:REWRITE DEFAULT-CAR))
 (918 130 (:DEFINITION LEN))
 (882 126 (:DEFINITION SYMBOL-LISTP))
 (315 315 (:REWRITE O-P-DEF-O-FINP-1))
 (260 130 (:REWRITE DEFAULT-+-2))
 (142 4 (:DEFINITION SUBSETP-EQUAL))
 (130 130 (:REWRITE DEFAULT-+-1))
 (130 16 (:DEFINITION MEMBER-EQUAL))
 (78 13 (:DEFINITION TRUE-LISTP))
 (64 16 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 2))
 (63 63 (:REWRITE DEFAULT-COERCE-2))
 (63 63 (:REWRITE DEFAULT-COERCE-1))
 (16 4 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 1))
 (12 4 (:DEFINITION ALL-NILS))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 )
(MODAPP::SUITABLY-TAMEP-LISTP-INDUCTION)
(MODAPP::SUITABLY-TAMEP-LISTP-IMPLICANT-1
 (32 8 (:REWRITE O-P-O-INFP-CAR))
 (24 24 (:REWRITE DEFAULT-CAR))
 (15 14 (:REWRITE DEFAULT-+-2))
 (14 14 (:REWRITE DEFAULT-+-1))
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 (3 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE O-INFP->NEQ-0))
 )
(MODAPP::TAMEP-IMPLICANT-1
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 (135 19 (:DEFINITION LEN))
 (131 131 (:REWRITE DEFAULT-CAR))
 (128 32 (:REWRITE O-P-O-INFP-CAR))
 (116 5 (:DEFINITION MODAPP::SUITABLY-TAMEP-LISTP))
 (63 9 (:DEFINITION SYMBOL-LISTP))
 (44 5 (:REWRITE ZP-OPEN))
 (43 24 (:REWRITE DEFAULT-+-2))
 (37 1 (:DEFINITION SUBSETP-EQUAL))
 (34 4 (:DEFINITION MEMBER-EQUAL))
 (32 32 (:REWRITE O-P-DEF-O-FINP-1))
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 (9 9 (:REWRITE DEFAULT-COERCE-1))
 (6 6 (:REWRITE DEFAULT-<-1))
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 (1 1 (:TYPE-PRESCRIPTION MODAPP::TAMEP-FUNCTIONP))
 )
(MODAPP::EV$-MEASURE)
(MODAPP::EV$-LIST-MEASURE)
(MODAPP::APPLY$-MEASURE)
(MODAPP::APPLY$-LAMBDA-MEASURE)
(MODAPP::APPLY$
 (6312 62 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 1))
 (6232 40 (:DEFINITION MODAPP::APPLY$-BADGEP))
 (4198 2019 (:REWRITE DEFAULT-+-2))
 (3696 44 (:REWRITE MODAPP::TAMEP-IMPLICANT-1))
 (2684 2019 (:REWRITE DEFAULT-+-1))
 (2616 255 (:DEFINITION LENGTH))
 (2002 22 (:DEFINITION TRUE-LISTP))
 (1618 339 (:REWRITE O-P-O-INFP-CAR))
 (1528 382 (:DEFINITION INTEGER-ABS))
 (916 22 (:DEFINITION SUBSETP-EQUAL))
 (797 600 (:REWRITE DEFAULT-<-1))
 (784 88 (:DEFINITION MEMBER-EQUAL))
 (683 600 (:REWRITE DEFAULT-<-2))
 (601 339 (:REWRITE O-P-DEF-O-FINP-1))
 (594 66 (:DEFINITION SYMBOL-LISTP))
 (405 3 (:DEFINITION MODAPP::EV$))
 (382 382 (:REWRITE DEFAULT-UNARY-MINUS))
 (262 262 (:TYPE-PRESCRIPTION O-FINP))
 (255 255 (:REWRITE DEFAULT-COERCE-2))
 (255 255 (:REWRITE DEFAULT-COERCE-1))
 (242 242 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (194 194 (:TYPE-PRESCRIPTION MODAPP::APPLY$-BADGEP))
 (191 191 (:REWRITE DEFAULT-REALPART))
 (191 191 (:REWRITE DEFAULT-NUMERATOR))
 (191 191 (:REWRITE DEFAULT-IMAGPART))
 (191 191 (:REWRITE DEFAULT-DENOMINATOR))
 (176 88 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 2))
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 (132 22 (:DEFINITION ALL-NILS))
 (110 110 (:TYPE-PRESCRIPTION ALL-NILS))
 (88 88 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (88 44 (:LINEAR MODAPP::APPLY$-BADGEP-PROPERTIES))
 (27 3 (:DEFINITION ASSOC-EQUAL))
 (22 22 (:TYPE-PRESCRIPTION BOOLEANP))
 )
(MODAPP::APPLY$-LAMBDA-OPENER
 (274 2 (:DEFINITION MODAPP::EV$))
 (148 2 (:DEFINITION MODAPP::TAMEP))
 (133 109 (:REWRITE DEFAULT-CDR))
 (98 19 (:REWRITE O-P-O-INFP-CAR))
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 (41 19 (:REWRITE O-P-DEF-O-FINP-1))
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 (34 2 (:DEFINITION LENGTH))
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 (28 4 (:DEFINITION LEN))
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 (14 2 (:DEFINITION SYMBOL-LISTP))
 (8 4 (:REWRITE DEFAULT-+-2))
 (4 4 (:TYPE-PRESCRIPTION MODAPP::TAMEP))
 (4 4 (:TYPE-PRESCRIPTION PAIRLIS$))
 (4 4 (:TYPE-PRESCRIPTION LEN))
 (4 4 (:REWRITE DEFAULT-+-1))
 (2 2 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (2 2 (:REWRITE DEFAULT-COERCE-2))
 (2 2 (:REWRITE DEFAULT-COERCE-1))
 )
(MODAPP::EV$-DEF-FACT
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 (4603 27 (:DEFINITION MODAPP::APPLY$-USERFN!))
 (4576 27 (:DEFINITION MODAPP::APPLY$-USERFN1!))
 (4018 574 (:DEFINITION LEN))
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 (1941 221 (:DEFINITION ASSOC-EQUAL))
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 (616 616 (:REWRITE DEFAULT-+-1))
 (574 574 (:TYPE-PRESCRIPTION LEN))
 (459 27 (:REWRITE MODAPP::APPLY$-LAMBDA-OPENER))
 (442 442 (:TYPE-PRESCRIPTION MODAPP::EV$-LIST))
 (297 27 (:DEFINITION PAIRLIS$))
 (287 287 (:REWRITE DEFAULT-COERCE-2))
 (287 287 (:REWRITE DEFAULT-COERCE-1))
 (176 42 (:REWRITE ZP-OPEN))
 (155 21 (:DEFINITION MODAPP::NATS))
 (123 21 (:DEFINITION MODAPP::SQUARE))
 (105 105 (:TYPE-PRESCRIPTION MODAPP::TAMEP-FUNCTIONP!))
 (105 105 (:TYPE-PRESCRIPTION MODAPP::TAMEP!))
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 (48 42 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (48 21 (:REWRITE DEFAULT-*-1))
 (42 42 (:REWRITE DEFAULT-<-2))
 (42 42 (:REWRITE DEFAULT-<-1))
 (27 27 (:TYPE-PRESCRIPTION MODAPP::APPLY$-PRIMP))
 (27 27 (:META MODAPP::APPLY$-PRIM-META-FN-CORRECT))
 )
(MODAPP::EV$-DEF)
(MODAPP::EV$-OPENER
 (3915 9 (:DEFINITION MODAPP::EV$))
 (2176 1948 (:REWRITE DEFAULT-CDR))
 (1612 2 (:DEFINITION MODAPP::APPLY$))
 (1428 287 (:REWRITE O-P-O-INFP-CAR))
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 (884 52 (:DEFINITION LENGTH))
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 (664 2 (:DEFINITION MODAPP::APPLY$-USERFN1!))
 (576 66 (:DEFINITION SYMBOL-LISTP))
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 (119 12 (:DEFINITION ASSOC-EQUAL))
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 (52 52 (:REWRITE DEFAULT-COERCE-1))
 (34 2 (:DEFINITION PAIRLIS$))
 (28 2 (:DEFINITION MODAPP::SQUARE))
 (24 4 (:REWRITE ZP-OPEN))
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 (16 2 (:REWRITE DEFAULT-*-2))
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 (4 4 (:REWRITE DEFAULT-<-1))
 (2 2 (:TYPE-PRESCRIPTION MODAPP::APPLY$-PRIMP))
 (2 2 (:META MODAPP::APPLY$-PRIM-META-FN-CORRECT))
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(MODAPP::EV$-LIST-DEF
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 (144 2 (:DEFINITION MODAPP::TAMEP))
 (123 99 (:REWRITE DEFAULT-CDR))
 (73 65 (:REWRITE DEFAULT-CAR))
 (72 16 (:REWRITE O-P-O-INFP-CAR))
 (34 2 (:DEFINITION LENGTH))
 (32 32 (:TYPE-PRESCRIPTION O-P))
 (28 4 (:DEFINITION LEN))
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 (18 2 (:DEFINITION ASSOC-EQUAL))
 (15 15 (:REWRITE MODAPP::EV$-OPENER))
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 (8 4 (:REWRITE DEFAULT-+-2))
 (4 4 (:TYPE-PRESCRIPTION MODAPP::TAMEP))
 (4 4 (:TYPE-PRESCRIPTION LEN))
 (4 4 (:REWRITE DEFAULT-+-1))
 (2 2 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (2 2 (:REWRITE DEFAULT-COERCE-2))
 (2 2 (:REWRITE DEFAULT-COERCE-1))
 )
(MODAPP::BETA-REDUCTION
 (15 3 (:DEFINITION PAIRLIS$))
 (9 9 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE MODAPP::EV$-OPENER))
 )
(MODAPP::APPLY$-PRIMP-BADGE)
(MODAPP::BADGE-BADGE)
(MODAPP::BADGE-TAMEP)
(MODAPP::BADGE-TAMEP-FUNCTIONP)
(MODAPP::BADGE-SUITABLY-TAMEP-LISTP)
(MODAPP::BADGE-APPLY$)
(MODAPP::BADGE-EV$)
(MODAPP::APPLY$-PRIMITIVE
 (2 2 (:META MODAPP::APPLY$-PRIM-META-FN-CORRECT))
 )
(MODAPP::APPLY$-BADGE
 (6 2 (:REWRITE MODAPP::APPLY$-PRIMP-BADGE))
 (5 5 (:TYPE-PRESCRIPTION MODAPP::APPLY$-PRIMP))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 1 (:REWRITE MODAPP::APPLY$-PRIMITIVE))
 )
(MODAPP::APPLY$-TAMEP
 (154 2 (:DEFINITION MODAPP::TAMEP))
 (58 58 (:REWRITE DEFAULT-CDR))
 (36 8 (:REWRITE O-P-O-INFP-CAR))
 (34 2 (:DEFINITION LENGTH))
 (28 4 (:DEFINITION LEN))
 (26 26 (:REWRITE DEFAULT-CAR))
 (16 16 (:TYPE-PRESCRIPTION O-P))
 (14 2 (:DEFINITION SYMBOL-LISTP))
 (12 8 (:REWRITE O-P-DEF-O-FINP-1))
 (8 4 (:REWRITE DEFAULT-+-2))
 (6 2 (:REWRITE MODAPP::APPLY$-PRIMP-BADGE))
 (5 5 (:TYPE-PRESCRIPTION MODAPP::APPLY$-PRIMP))
 (4 4 (:TYPE-PRESCRIPTION O-FINP))
 (4 4 (:TYPE-PRESCRIPTION LEN))
 (4 4 (:REWRITE DEFAULT-+-1))
 (2 2 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (2 2 (:REWRITE DEFAULT-COERCE-2))
 (2 2 (:REWRITE DEFAULT-COERCE-1))
 (2 1 (:REWRITE MODAPP::APPLY$-PRIMITIVE))
 )
(MODAPP::APPLY$-TAMEP-FUNCTIONP
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 (26 26 (:REWRITE DEFAULT-CDR))
 (20 4 (:REWRITE O-P-O-INFP-CAR))
 (14 2 (:DEFINITION SYMBOL-LISTP))
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 (6 2 (:REWRITE MODAPP::APPLY$-PRIMP-BADGE))
 (5 5 (:TYPE-PRESCRIPTION MODAPP::APPLY$-PRIMP))
 (4 4 (:TYPE-PRESCRIPTION O-FINP))
 (2 2 (:TYPE-PRESCRIPTION MODAPP::TAMEP))
 (2 2 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (2 1 (:REWRITE MODAPP::APPLY$-PRIMITIVE))
 )
(MODAPP::APPLY$-SUITABLY-TAMEP-LISTP
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 (38 26 (:REWRITE DEFAULT-CDR))
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 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:DEFINITION NOT))
 (2 1 (:REWRITE MODAPP::APPLY$-PRIMITIVE))
 (1 1 (:TYPE-PRESCRIPTION MODAPP::APPLY$-PRIMP))
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(MODAPP::APPLY$-APPLY$
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 (578 2 (:DEFINITION MODAPP::APPLY$-USERFN))
 (576 2 (:DEFINITION MODAPP::APPLY$-USERFN!))
 (574 2 (:DEFINITION MODAPP::APPLY$-USERFN1!))
 (481 391 (:REWRITE DEFAULT-CDR))
 (418 202 (:REWRITE DEFAULT-CAR))
 (310 10 (:DEFINITION MODAPP::TAMEP-FUNCTIONP!))
 (308 4 (:DEFINITION MODAPP::TAMEP))
 (254 106 (:REWRITE O-P-DEF-O-FINP-1))
 (212 212 (:TYPE-PRESCRIPTION O-P))
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 (104 2 (:DEFINITION MODAPP::SUITABLY-TAMEP-LISTP))
 (68 4 (:DEFINITION LENGTH))
 (56 8 (:DEFINITION LEN))
 (50 2 (:REWRITE MODAPP::APPLY$-LAMBDA-OPENER))
 (37 37 (:TYPE-PRESCRIPTION MODAPP::APPLY$-PRIMP))
 (36 12 (:REWRITE MODAPP::APPLY$-PRIMP-BADGE))
 (36 2 (:DEFINITION PAIRLIS$))
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 (16 4 (:REWRITE ZP-OPEN))
 (14 2 (:DEFINITION MODAPP::NATS))
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 (10 10 (:TYPE-PRESCRIPTION MODAPP::TAMEP-FUNCTIONP!))
 (10 10 (:TYPE-PRESCRIPTION MODAPP::TAMEP!))
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 (8 8 (:TYPE-PRESCRIPTION LEN))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 4 (:REWRITE MODAPP::EV$-OPENER))
 (4 4 (:REWRITE DEFAULT-COERCE-2))
 (4 4 (:REWRITE DEFAULT-COERCE-1))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 2 (:REWRITE DEFAULT-*-2))
 (4 2 (:REWRITE DEFAULT-*-1))
 (2 2 (:META MODAPP::APPLY$-PRIM-META-FN-CORRECT))
 )
(MODAPP::APPLY$-EV$
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 (32 32 (:REWRITE DEFAULT-CAR))
 (28 4 (:DEFINITION LEN))
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 (4 4 (:TYPE-PRESCRIPTION LEN))
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 (3 3 (:REWRITE MODAPP::EV$-OPENER))
 (2 2 (:REWRITE DEFAULT-COERCE-2))
 (2 2 (:REWRITE DEFAULT-COERCE-1))
 (2 1 (:REWRITE MODAPP::APPLY$-PRIMITIVE))
 )
(MODAPP::EXECUTABLE-TAMEP)
(MODAPP::QUICK-CHECK-FOR-TAMENESSP)
(MODAPP::ACCUMULATE-ILK)
(MODAPP::CONVERT-ILK-ALIST-TO-ILKS1)
(MODAPP::CONVERT-ILK-ALIST-TO-ILKS)
(MODAPP::CHANGED-FUNCTIONAL-OR-EXPRESSIONAL-FORMALP)
(MODAPP::WELL-FORMED-LAMBDAP)
(MODAPP::GUESS-ILKS-ALIST)
(MODAPP::ANCESTRALLY-DEPENDENT-ON-APPLY$-USERFN-P1)
(MODAPP::ANCESTRALLY-DEPENDENT-ON-APPLY$-USERFN-P)
(MODAPP::ACCEPTABLE-WARRANTED-JUSTIFICATIONP)
(MODAPP::BADGER)
(MODAPP::COUNT-TO-NIL)
(MODAPP::EXECUTABLE-BADGE)
(MODAPP::EXECUTABLE-TAMEP
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 (518 518 (:REWRITE DEFAULT-CAR))
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 (16 8 (:REWRITE O-FIRST-EXPT-DEF-O-FINP))
 (8 8 (:REWRITE |a < b & b < c  =>  a < c|))
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 (4 4 (:REWRITE ZP-OPEN))
 )
(MODAPP::WELL-FORMED-LAMBDAP)
(MODAPP::CHANGED-FUNCTIONAL-OR-EXPRESSIONAL-FORMALP)
(MODAPP::ACCUMULATE-ILK)
(MODAPP::GUESS-ILKS-ALIST)
(MODAPP::FIND-BADGE-ILK)
(MODAPP::CHECK-ILKS)
(MODAPP::CHECKER
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 )
(FLAG::FLAG-EQUIV-LEMMA)
(MODAPP::CHECKER-EQUIVALENCES)
(MODAPP::ALIST-OKP)
(MODAPP::FLAG-LEMMA-FOR-GUESS-ILKS-ALIST-LEMMA
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 (156 156 (:REWRITE LEGAL-VARIABLE-OR-CONSTANT-NAMEP-IMPLIES-SYMBOLP))
 (156 78 (:DEFINITION ADD-TO-SET-EQUAL))
 (78 78 (:REWRITE ARITIES-OKP-IMPLIES-ARITY))
 )
(MODAPP::GUESS-ILKS-ALIST-LEMMA)
(MODAPP::GUESS-ILKS-ALIST-LIST-LEMMA)
(MODAPP::BADGE-TABLE-OKP)
(MODAPP::APPLY$-BADGEP-HONS-GET-LEMMA
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 (1094 51 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 1))
 (890 89 (:DEFINITION SYMBOL-LISTP))
 (534 534 (:TYPE-PRESCRIPTION MODAPP::TAMEP))
 (534 534 (:TYPE-PRESCRIPTION MODAPP::SUITABLY-TAMEP-LISTP))
 (520 520 (:REWRITE O-P-DEF-O-FINP-1))
 (488 244 (:REWRITE DEFAULT-+-2))
 (445 445 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (267 89 (:REWRITE MODAPP::APPLY$-PRIMP-BADGE))
 (244 244 (:REWRITE DEFAULT-+-1))
 (178 178 (:TYPE-PRESCRIPTION MODAPP::APPLY$-PRIMP))
 (89 89 (:REWRITE DEFAULT-COERCE-2))
 (89 89 (:REWRITE DEFAULT-COERCE-1))
 (44 44 (:REWRITE DEFAULT-<-2))
 (44 44 (:REWRITE DEFAULT-<-1))
 )
(MODAPP::APPLY$-BADGEP-EXECUTABLE-BADGE-LEMMA
 (2786 34 (:REWRITE MODAPP::TAMEP-IMPLICANT-1))
 (2688 32 (:DEFINITION MODAPP::TAMEP))
 (2134 2134 (:REWRITE DEFAULT-CDR))
 (1585 17 (:DEFINITION TRUE-LISTP))
 (971 903 (:REWRITE DEFAULT-CAR))
 (860 78 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 2))
 (642 15 (:REWRITE MODAPP::APPLY$-BADGEP-PROPERTIES . 1))
 (544 32 (:DEFINITION LENGTH))
 (496 124 (:REWRITE O-P-O-INFP-CAR))
 (320 32 (:DEFINITION SYMBOL-LISTP))
 (192 192 (:TYPE-PRESCRIPTION MODAPP::TAMEP))
 (192 192 (:TYPE-PRESCRIPTION MODAPP::SUITABLY-TAMEP-LISTP))
 (172 86 (:REWRITE DEFAULT-+-2))
 (160 160 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (124 124 (:REWRITE O-P-DEF-O-FINP-1))
 (96 32 (:REWRITE MODAPP::APPLY$-PRIMP-BADGE))
 (86 86 (:REWRITE DEFAULT-+-1))
 (64 64 (:TYPE-PRESCRIPTION MODAPP::APPLY$-PRIMP))
 (36 36 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (32 32 (:REWRITE DEFAULT-COERCE-2))
 (32 32 (:REWRITE DEFAULT-COERCE-1))
 (16 16 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (16 8 (:LINEAR MODAPP::APPLY$-BADGEP-PROPERTIES))
 (15 15 (:REWRITE DEFAULT-<-2))
 (15 15 (:REWRITE DEFAULT-<-1))
 )
(MODAPP::APPLY$-BADGEP-EXECUTABLE-BADGE
 (138 6 (:DEFINITION FGETPROP))
 (132 68 (:REWRITE DEFAULT-CAR))
 (120 30 (:REWRITE O-P-O-INFP-CAR))
 (104 56 (:REWRITE DEFAULT-CDR))
 (90 10 (:DEFINITION ASSOC-EQUAL))
 (60 60 (:TYPE-PRESCRIPTION O-P))
 (30 30 (:REWRITE O-P-DEF-O-FINP-1))
 (22 2 (:DEFINITION MODAPP::BADGE-TABLE-OKP))
 )
(MODAPP::FLAG-LEMMA-FOR-GUESS-ILKS-ALIST-CORRECT
 (399273 5177 (:REWRITE MODAPP::TAMEP-IMPLICANT-1))
 (383976 5060 (:DEFINITION MODAPP::TAMEP))
 (148070 35144 (:REWRITE O-P-O-INFP-CAR))
 (42638 35144 (:REWRITE O-P-DEF-O-FINP-1))
 (28968 28968 (:TYPE-PRESCRIPTION MODAPP::SUITABLY-TAMEP-LISTP))
 (28272 28272 (:TYPE-PRESCRIPTION MODAPP::TAMEP))
 (26210 13105 (:REWRITE DEFAULT-+-2))
 (14484 5060 (:REWRITE MODAPP::APPLY$-PRIMP-BADGE))
 (13105 13105 (:REWRITE DEFAULT-+-1))
 (9424 9424 (:TYPE-PRESCRIPTION MODAPP::APPLY$-PRIMP))
 (7494 7494 (:TYPE-PRESCRIPTION O-FINP))
 (6945 463 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (6482 463 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (6019 463 (:DEFINITION ARGLISTP1))
 (5781 5781 (:REWRITE DEFAULT-COERCE-2))
 (5781 5781 (:REWRITE DEFAULT-COERCE-1))
 (5093 463 (:DEFINITION ALL-VARS1))
 (1023 1023 (:REWRITE LEGAL-VARIABLE-OR-CONSTANT-NAMEP-IMPLIES-SYMBOLP))
 (926 463 (:DEFINITION ADD-TO-SET-EQUAL))
 (651 610 (:REWRITE DEFAULT-<-1))
 (610 610 (:REWRITE DEFAULT-<-2))
 (510 510 (:REWRITE ARITIES-OKP-IMPLIES-ARITY))
 (31 31 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(MODAPP::GUESS-ILKS-ALIST-CORRECT)
(MODAPP::GUESS-ILKS-ALIST-LIST-CORRECT)
(MODAPP::APPLY$-EQUIVALENCE)
(MODAPP::APPLY$-EQUIVALENCE-NECC)
(MODAPP::FN-EQUAL)
(MODAPP::APPLY$-EQUIVALENCE-NECC-REWRITER
 (8 4 (:REWRITE MODAPP::APPLY$-PRIMITIVE))
 (4 4 (:TYPE-PRESCRIPTION MODAPP::APPLY$-PRIMP))
 )
(MODAPP::FN-EQUAL-IS-AN-EQUIVALENCE
 (208 208 (:REWRITE DEFAULT-CDR))
 (112 16 (:DEFINITION SYMBOL-LISTP))
 (64 64 (:REWRITE DEFAULT-CAR))
 (64 16 (:REWRITE O-P-O-INFP-CAR))
 (56 56 (:TYPE-PRESCRIPTION MODAPP::APPLY$-PRIMP))
 (48 16 (:REWRITE MODAPP::APPLY$-PRIMP-BADGE))
 (40 16 (:REWRITE MODAPP::APPLY$-PRIMITIVE))
 (32 32 (:TYPE-PRESCRIPTION O-P))
 (16 16 (:REWRITE O-P-DEF-O-FINP-1))
 (8 8 (:REWRITE MODAPP::APPLY$-EQUIVALENCE-NECC))
 )
(MODAPP::FN-EQUAL-IMPLIES-EQUAL-APPLY$-1
 (56 2 (:DEFINITION MODAPP::TAMEP-FUNCTIONP))
 (26 26 (:REWRITE DEFAULT-CDR))
 (14 2 (:DEFINITION SYMBOL-LISTP))
 (8 8 (:REWRITE DEFAULT-CAR))
 (8 2 (:REWRITE O-P-O-INFP-CAR))
 (6 6 (:TYPE-PRESCRIPTION MODAPP::APPLY$-PRIMP))
 (6 2 (:REWRITE MODAPP::APPLY$-PRIMP-BADGE))
 (4 4 (:TYPE-PRESCRIPTION O-P))
 (4 2 (:REWRITE MODAPP::APPLY$-PRIMITIVE))
 (2 2 (:TYPE-PRESCRIPTION MODAPP::TAMEP))
 (2 2 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (2 2 (:REWRITE O-P-DEF-O-FINP-1))
 (2 2 (:REWRITE MODAPP::APPLY$-EQUIVALENCE-NECC-REWRITER))
 )
(MODAPP::DEFCONG-FN-EQUAL-EQUAL-EVENTS)
(MODAPP::WARRANT-NAME
 (30 30 (:REWRITE DEFAULT-SYMBOL-NAME))
 (30 30 (:REWRITE DEFAULT-COERCE-2))
 (30 30 (:REWRITE DEFAULT-COERCE-1))
 (15 15 (:REWRITE DEFAULT-CDR))
 (15 15 (:REWRITE DEFAULT-CAR))
 )
(MODAPP::WARRANT-FN
 (2 2 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE DEFAULT-CDR))
 )
(MODAPP::TAMENESS-CONDITIONS)
(MODAPP::SUCCESSIVE-CADRS)
(MODAPP::NECC-NAME-ARGS-INSTANCE)
(MODAPP::DEF-WARRANT-EVENT)
(MODAPP::LAMB)
(MODAPP::CONSP-LAMB)
(MODAPP::CONSP-CDR-LAMB)
(MODAPP::CONSP-CDDR-LAMB)
(MODAPP::CDDDR-LAMB)
(MODAPP::CAR-LAMB)
(MODAPP::LAMBDA-FORMALS-LAMB)
(MODAPP::LAMBDA-BODY-LAMB)
(MODAPP::LAMB-REDUCTION)
(MODAPP::XLAMB)
