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|
(ASSOC-EQUAL-LOOP$
(162 15 (:REWRITE TRUE-LIST-LISTP-IMPLIES-TRUE-LISTP-XXX))
(135 133 (:REWRITE DEFAULT-CAR))
(128 30 (:DEFINITION TRUE-LISTP))
(118 116 (:REWRITE DEFAULT-CDR))
(53 9 (:REWRITE NOT-MEMBER-LOOP$-AS-RATIONAL-LISTP-1))
(53 7 (:REWRITE NOT-MEMBER-LOOP$-AS-NATP-1))
(41 9 (:REWRITE NOT-MEMBER-LOOP$-AS-IDENTITY-1))
(39 7 (:REWRITE NOT-MEMBER-LOOP$-AS-ACL2-NUMBER-1))
(37 7 (:REWRITE NOT-MEMBER-LOOP$-AS-TRUE-LIST-1))
(28 7 (:DEFINITION NATP))
(26 13 (:REWRITE DEFAULT-+-2))
(25 7 (:REWRITE NOT-MEMBER-LOOP$-AS-SYMBOL-1))
(25 7 (:REWRITE NOT-MEMBER-LOOP$-AS-RATIONAL-1))
(25 7 (:REWRITE NOT-MEMBER-LOOP$-AS-INTEGER-1))
(20 8 (:DEFINITION RATIONAL-LISTP))
(18 1 (:DEFINITION ALWAYS$))
(17 17 (:TYPE-PRESCRIPTION RATIONAL-LISTP))
(16 16 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
(15 15 (:REWRITE ALWAYS$-P-LST-IMPLIES-P-ELEMENT-COROLLARY))
(14 14 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
(14 7 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
(13 13 (:REWRITE DEFAULT-+-1))
(12 4 (:REWRITE EQUAL-LEN-1))
(10 1 (:REWRITE APPLY$-SYMBOL-ARITY-1))
(7 7 (:TYPE-PRESCRIPTION NATP))
(7 7 (:REWRITE SYMBOL-LISTP-IMPLIES-SYMBOLP))
(7 7 (:REWRITE NOT-MEMBER-LOOP$-AS-GENERAL))
(7 7 (:REWRITE NOT-MEMBER-LOOP$-AS-ALWAYS$-1))
(7 7 (:REWRITE DEFAULT-<-2))
(7 7 (:REWRITE DEFAULT-<-1))
(7 7 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
(5 5 (:TYPE-PRESCRIPTION ALWAYS$))
(5 1 (:REWRITE APPLY$-PRIMITIVE))
(4 2 (:REWRITE APPLY$-PRIMP-BADGE))
(3 3 (:TYPE-PRESCRIPTION APPLY$-PRIMP))
(3 1 (:META APPLY$-PRIM-META-FN-CORRECT))
(1 1 (:REWRITE APPLY$-CONSP-ARITY-1))
(1 1 (:REWRITE ALWAYS$-P-LST-IMPLIES-P-ELEMENT))
(1 1 (:DEFINITION IDENTITY))
)
(LP12-1
(167 164 (:REWRITE DEFAULT-CAR))
(67 66 (:REWRITE DEFAULT-CDR))
(14 9 (:REWRITE APPLY$-PRIMITIVE))
(10 10 (:META RELINK-FANCY-SCION-CORRECT))
(5 5 (:TYPE-PRESCRIPTION APPLY$-PRIMP))
)
(COUNTEREXAMPLE-TO-STRONGER-LP12-1)
(LP12-2
(119 118 (:REWRITE DEFAULT-CAR))
(103 102 (:REWRITE DEFAULT-CDR))
(23 12 (:REWRITE DEFAULT-+-2))
(14 7 (:REWRITE DEFAULT-<-1))
(12 12 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
(12 12 (:REWRITE DEFAULT-+-1))
(12 7 (:REWRITE DEFAULT-<-2))
(10 10 (:META RELINK-FANCY-SCION-CORRECT))
(10 5 (:REWRITE APPLY$-PRIMITIVE))
(5 5 (:TYPE-PRESCRIPTION APPLY$-PRIMP))
)
(LP12-2-EQUIVALENCE
(274 271 (:REWRITE DEFAULT-CDR))
(255 252 (:REWRITE DEFAULT-CAR))
(44 22 (:REWRITE DEFAULT-+-2))
(27 14 (:REWRITE DEFAULT-<-2))
(26 14 (:REWRITE DEFAULT-<-1))
(24 24 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
(22 22 (:REWRITE DEFAULT-+-1))
(18 18 (:META RELINK-FANCY-SCION-CORRECT))
(18 9 (:REWRITE APPLY$-PRIMITIVE))
(9 9 (:TYPE-PRESCRIPTION APPLY$-PRIMP))
)
(LP12-2-OBSERVATION)
(LP12-3-LEMMA
(48 24 (:REWRITE DEFAULT-+-2))
(31 24 (:REWRITE DEFAULT-+-1))
(20 10 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
(18 15 (:REWRITE DEFAULT-CDR))
(15 15 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
(10 10 (:TYPE-PRESCRIPTION TRUE-LISTP))
(10 10 (:TYPE-PRESCRIPTION BINARY-APPEND))
(3 3 (:REWRITE DEFAULT-CAR))
(1 1 (:REWRITE FOLD-CONSTS-IN-+))
)
(LP12-3
(1209 22 (:REWRITE TRUE-LISTP-TRUE-LIST-FIX-ID))
(1144 23 (:DEFINITION TRUE-LISTP))
(1028 16 (:REWRITE APPLY$-BADGEP-PROPERTIES . 3))
(1020 4 (:DEFINITION APPLY$-BADGEP))
(708 4 (:DEFINITION SUBSETP-EQUAL))
(656 56 (:DEFINITION MEMBER-EQUAL))
(458 452 (:REWRITE DEFAULT-CDR))
(408 28 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-1))
(142 140 (:REWRITE DEFAULT-CAR))
(124 124 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
(120 120 (:TYPE-PRESCRIPTION TRUE-LISTP))
(110 46 (:REWRITE DEFAULT-+-2))
(84 84 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-3))
(80 8 (:DEFINITION NATP))
(78 6 (:REWRITE APPLY$-CONSP-ARITY-1))
(62 46 (:REWRITE DEFAULT-+-1))
(56 56 (:REWRITE MEMBER-EQUAL-NEWVAR-COMPONENTS-2))
(47 24 (:REWRITE DEFAULT-*-2))
(44 44 (:TYPE-PRESCRIPTION APPLY$-BADGEP))
(36 24 (:REWRITE DEFAULT-*-1))
(24 24 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
(24 12 (:LINEAR APPLY$-BADGEP-PROPERTIES . 1))
(24 4 (:DEFINITION ALL-NILS))
(20 20 (:TYPE-PRESCRIPTION ALL-NILS))
(16 16 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
(16 8 (:REWRITE APPLY$-BADGEP-PROPERTIES . 1))
(16 4 (:DEFINITION WEAK-APPLY$-BADGE-P))
(14 7 (:REWRITE APPLY$-PRIMITIVE))
(8 8 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
(8 8 (:REWRITE DEFAULT-<-2))
(8 8 (:REWRITE DEFAULT-<-1))
(8 4 (:REWRITE APPLY$-BADGEP-PROPERTIES . 2))
(8 4 (:LINEAR APPLY$-BADGEP-PROPERTIES . 2))
(7 7 (:TYPE-PRESCRIPTION APPLY$-PRIMP))
)
(NATS)
(LP12-4
(482 12 (:REWRITE APPLY$-CONSP-ARITY-1))
(147 105 (:REWRITE DEFAULT-CDR))
(147 105 (:REWRITE DEFAULT-CAR))
(89 89 (:REWRITE DEFAULT-+-2))
(89 89 (:REWRITE DEFAULT-+-1))
(76 76 (:REWRITE DEFAULT-<-2))
(76 76 (:REWRITE DEFAULT-<-1))
(75 25 (:REWRITE FOLD-CONSTS-IN-+))
(28 14 (:REWRITE APPLY$-PRIMITIVE))
(23 11 (:REWRITE ZP-OPEN))
(14 14 (:TYPE-PRESCRIPTION APPLY$-PRIMP))
(12 12 (:TYPE-PRESCRIPTION LEN))
(3 3 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
(1 1 (:INDUCTION COLLECT$-FTB-RULE))
)
(NATS-UP
(56 52 (:REWRITE DEFAULT-<-2))
(56 52 (:REWRITE DEFAULT-<-1))
(38 38 (:REWRITE DEFAULT-+-2))
(38 38 (:REWRITE DEFAULT-+-1))
(23 23 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
(6 6 (:REWRITE DEFAULT-UNARY-MINUS))
(4 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
(2 2 (:REWRITE RATIONAL-LISTP-IMPLIES-RATIONALP))
(2 2 (:REWRITE ACL2-NUMBER-LISTP-IMPLIES-ACL2-NUMBERP))
)
(LP12-5-LEMMA
(312 6 (:REWRITE APPLY$-CONSP-ARITY-1))
(100 20 (:DEFINITION BINARY-APPEND))
(97 97 (:REWRITE DEFAULT-+-2))
(97 97 (:REWRITE DEFAULT-+-1))
(91 91 (:REWRITE DEFAULT-<-2))
(91 91 (:REWRITE DEFAULT-<-1))
(41 40 (:REWRITE DEFAULT-CDR))
(41 40 (:REWRITE DEFAULT-CAR))
(30 10 (:REWRITE FOLD-CONSTS-IN-+))
(14 7 (:REWRITE APPLY$-PRIMITIVE))
(12 12 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
(7 7 (:TYPE-PRESCRIPTION APPLY$-PRIMP))
(6 6 (:TYPE-PRESCRIPTION LEN))
)
(LP12-5
(21 2 (:DEFINITION FROM-TO-BY-DOWN-OPENER))
(11 11 (:REWRITE DEFAULT-<-2))
(11 11 (:REWRITE DEFAULT-<-1))
(10 2 (:DEFINITION BINARY-APPEND))
(4 3 (:REWRITE DEFAULT-CDR))
(4 3 (:REWRITE DEFAULT-CAR))
(2 2 (:REWRITE DEFAULT-+-2))
(2 2 (:REWRITE DEFAULT-+-1))
(2 1 (:REWRITE APPLY$-PRIMITIVE))
(1 1 (:TYPE-PRESCRIPTION APPLY$-PRIMP))
(1 1 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
)
(LP12-6
(28 28 (:REWRITE DEFAULT-CAR))
(17 17 (:REWRITE DEFAULT-CDR))
(8 4 (:REWRITE APPLY$-PRIMITIVE))
(4 4 (:TYPE-PRESCRIPTION APPLY$-PRIMP))
)
(LP12-7-LEMMA
(1772 4 (:REWRITE APPLY$-CONSP-ARITY-1))
(390 78 (:DEFINITION BINARY-APPEND))
(386 383 (:REWRITE DEFAULT-CAR))
(372 369 (:REWRITE DEFAULT-CDR))
(282 262 (:REWRITE DEFAULT-+-2))
(274 14 (:REWRITE LP12-2))
(262 262 (:REWRITE DEFAULT-+-1))
(179 169 (:REWRITE DEFAULT-<-2))
(179 169 (:REWRITE DEFAULT-<-1))
(124 124 (:TYPE-PRESCRIPTION LEN))
(120 20 (:DEFINITION LEN))
(38 19 (:REWRITE APPLY$-PRIMITIVE))
(28 28 (:META RELINK-FANCY-SCION-CORRECT))
(23 23 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
(20 20 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
(19 19 (:TYPE-PRESCRIPTION APPLY$-PRIMP))
(17 5 (:REWRITE ALWAYS$-P-LST-IMPLIES-P-ELEMENT))
(12 4 (:REWRITE FOLD-CONSTS-IN-+))
(10 1 (:DEFINITION MEMBER-EQUAL))
(5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
(1 1 (:INDUCTION LOOP$-AS-CDR-FBT-RULE . 1))
(1 1 (:INDUCTION LOOP$-AS-CDR-CDR-RULE . 1))
)
(LP12-7
(314 2 (:DEFINITION LOOP$-AS))
(219 1 (:DEFINITION COLLECT$+))
(211 1 (:REWRITE BETA-REDUCTION))
(207 2 (:DEFINITION PAIRLIS$))
(176 8 (:DEFINITION FROM-TO-BY-DOWN-OPENER))
(104 4 (:DEFINITION CDR-LOOP$-AS-TUPLE))
(104 4 (:DEFINITION CAR-LOOP$-AS-TUPLE))
(102 4 (:DEFINITION EMPTY-LOOP$-AS-TUPLEP))
(64 8 (:DEFINITION FROM-TO-BY))
(53 35 (:REWRITE DEFAULT-+-2))
(52 10 (:DEFINITION LEN))
(42 42 (:REWRITE DEFAULT-CDR))
(40 8 (:DEFINITION BINARY-APPEND))
(36 35 (:REWRITE DEFAULT-+-1))
(34 34 (:REWRITE DEFAULT-CAR))
(34 17 (:REWRITE DEFAULT-<-1))
(32 8 (:DEFINITION NOT))
(27 1 (:REWRITE LP12-2))
(24 24 (:TYPE-PRESCRIPTION FROM-TO-BY))
(24 8 (:REWRITE FOLD-CONSTS-IN-+))
(18 17 (:REWRITE DEFAULT-<-2))
(14 14 (:REWRITE CDR-CONS))
(14 14 (:REWRITE CAR-CONS))
(10 10 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
(2 2 (:TYPE-PRESCRIPTION LOOP$-AS))
(2 2 (:META RELINK-FANCY-SCION-CORRECT))
(2 1 (:REWRITE APPLY$-PRIMITIVE))
(1 1 (:TYPE-PRESCRIPTION APPLY$-PRIMP))
(1 1 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
)
(LP12-8-LEMMA-LEMMA
(153 151 (:REWRITE DEFAULT-CAR))
(150 30 (:DEFINITION BINARY-APPEND))
(123 121 (:REWRITE DEFAULT-CDR))
(98 98 (:REWRITE DEFAULT-+-2))
(98 98 (:REWRITE DEFAULT-+-1))
(87 87 (:REWRITE DEFAULT-<-2))
(87 87 (:REWRITE DEFAULT-<-1))
(18 18 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
(12 12 (:META RELINK-FANCY-SCION-CORRECT))
(12 4 (:REWRITE FOLD-CONSTS-IN-+))
(10 5 (:REWRITE APPLY$-PRIMITIVE))
(5 5 (:TYPE-PRESCRIPTION APPLY$-PRIMP))
(1 1 (:INDUCTION LOOP$-AS-CDR-FBT-RULE . 1))
(1 1 (:INDUCTION LOOP$-AS-CDR-CDR-RULE . 1))
)
(LP12-8-LEMMA
(3623 192 (:DEFINITION FROM-TO-BY-DOWN-OPENER))
(1716 1305 (:REWRITE DEFAULT-+-2))
(1306 1305 (:REWRITE DEFAULT-+-1))
(1036 1014 (:REWRITE DEFAULT-CDR))
(960 192 (:DEFINITION BINARY-APPEND))
(944 919 (:REWRITE DEFAULT-CAR))
(805 473 (:REWRITE DEFAULT-<-1))
(473 473 (:REWRITE DEFAULT-<-2))
(135 135 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
(50 33 (:REWRITE APPLY$-PRIMITIVE))
(32 32 (:META RELINK-FANCY-SCION-CORRECT))
(22 22 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
(17 17 (:TYPE-PRESCRIPTION APPLY$-PRIMP))
(15 15 (:REWRITE DEFAULT-UNARY-MINUS))
(3 3 (:TYPE-PRESCRIPTION NATP))
(1 1 (:INDUCTION LOOP$-AS-CDR-FBT-RULE . 5))
(1 1 (:INDUCTION LOOP$-AS-CDR-CDR-RULE . 1))
(1 1 (:INDUCTION FROM-TO-BY-DOWN-INDUCTION))
)
(LP12-8-PROOF-1
(942 6 (:DEFINITION LOOP$-AS))
(528 24 (:DEFINITION FROM-TO-BY-DOWN-OPENER))
(312 12 (:DEFINITION CDR-LOOP$-AS-TUPLE))
(312 12 (:DEFINITION CAR-LOOP$-AS-TUPLE))
(306 12 (:DEFINITION EMPTY-LOOP$-AS-TUPLEP))
(192 24 (:DEFINITION FROM-TO-BY))
(150 102 (:REWRITE DEFAULT-+-2))
(120 120 (:REWRITE DEFAULT-CDR))
(120 24 (:DEFINITION LEN))
(120 24 (:DEFINITION BINARY-APPEND))
(114 114 (:REWRITE DEFAULT-CAR))
(104 102 (:REWRITE DEFAULT-+-1))
(102 52 (:REWRITE DEFAULT-<-1))
(72 24 (:REWRITE FOLD-CONSTS-IN-+))
(66 66 (:TYPE-PRESCRIPTION FROM-TO-BY))
(52 52 (:REWRITE DEFAULT-<-2))
(30 2 (:REWRITE LP12-8-LEMMA-LEMMA))
(24 24 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
(12 2 (:DEFINITION NTH))
(6 4 (:REWRITE APPLY$-PRIMITIVE))
(4 4 (:META RELINK-FANCY-SCION-CORRECT))
(2 2 (:TYPE-PRESCRIPTION NATP))
(2 2 (:TYPE-PRESCRIPTION APPLY$-PRIMP))
(2 2 (:REWRITE ZP-OPEN))
(1 1 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
)
(LP12-8-LEMMA-BRIDGE)
(LP12-8-PROOF-2
(133 1 (:DEFINITION LOOP$-AS))
(88 4 (:DEFINITION FROM-TO-BY-DOWN-OPENER))
(44 2 (:DEFINITION CDR-LOOP$-AS-TUPLE))
(44 2 (:DEFINITION CAR-LOOP$-AS-TUPLE))
(43 2 (:DEFINITION EMPTY-LOOP$-AS-TUPLEP))
(38 26 (:REWRITE DEFAULT-+-2))
(28 26 (:REWRITE DEFAULT-+-1))
(25 5 (:DEFINITION LEN))
(21 21 (:REWRITE DEFAULT-CDR))
(20 4 (:DEFINITION BINARY-APPEND))
(18 18 (:REWRITE DEFAULT-CAR))
(12 2 (:DEFINITION NTH))
(11 11 (:TYPE-PRESCRIPTION FROM-TO-BY))
(9 5 (:REWRITE DEFAULT-<-1))
(6 6 (:REWRITE CDR-CONS))
(6 6 (:REWRITE CAR-CONS))
(5 5 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
(5 5 (:REWRITE DEFAULT-<-2))
(2 2 (:REWRITE ZP-OPEN))
(1 1 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
)
(LP12-8-LEMMA-DIFFERENT-BRIDGE
(190 1 (:DEFINITION LOOP$-AS))
(106 5 (:DEFINITION FROM-TO-BY-DOWN-OPENER))
(73 50 (:REWRITE DEFAULT-+-2))
(63 2 (:DEFINITION CDR-LOOP$-AS-TUPLE))
(63 2 (:DEFINITION CAR-LOOP$-AS-TUPLE))
(62 2 (:DEFINITION EMPTY-LOOP$-AS-TUPLEP))
(60 5 (:DEFINITION FROM-TO-BY))
(52 50 (:REWRITE DEFAULT-+-1))
(29 21 (:REWRITE DEFAULT-<-1))
(29 17 (:REWRITE FOLD-CONSTS-IN-+))
(28 2 (:DEFINITION NATS-UP))
(25 5 (:DEFINITION LEN))
(25 5 (:DEFINITION BINARY-APPEND))
(22 22 (:REWRITE DEFAULT-CDR))
(21 21 (:REWRITE DEFAULT-<-2))
(20 2 (:DEFINITION NTH))
(19 19 (:REWRITE DEFAULT-CAR))
(12 4 (:DEFINITION NFIX))
(8 2 (:REWRITE ZP-OPEN))
(6 6 (:REWRITE CDR-CONS))
(6 6 (:REWRITE CAR-CONS))
(5 5 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
(2 2 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
(2 2 (:REWRITE DEFAULT-UNARY-MINUS))
)
(LP12-8-PROOF-3
(157 1 (:DEFINITION LOOP$-AS))
(110 5 (:DEFINITION FROM-TO-BY-DOWN-OPENER))
(79 79 (:TYPE-PRESCRIPTION LEN))
(52 2 (:DEFINITION CDR-LOOP$-AS-TUPLE))
(52 2 (:DEFINITION CAR-LOOP$-AS-TUPLE))
(51 2 (:DEFINITION EMPTY-LOOP$-AS-TUPLEP))
(40 28 (:REWRITE DEFAULT-+-2))
(40 5 (:DEFINITION FROM-TO-BY))
(30 28 (:REWRITE DEFAULT-+-1))
(25 5 (:DEFINITION LEN))
(25 5 (:DEFINITION BINARY-APPEND))
(22 22 (:REWRITE DEFAULT-CDR))
(21 11 (:REWRITE DEFAULT-<-1))
(19 19 (:REWRITE DEFAULT-CAR))
(12 2 (:DEFINITION NTH))
(11 11 (:REWRITE DEFAULT-<-2))
(6 6 (:REWRITE CDR-CONS))
(6 6 (:REWRITE CAR-CONS))
(5 5 (:REWRITE LEN-MEMBER-EQUAL-LOOP$-AS))
(2 2 (:REWRITE ZP-OPEN))
(1 1 (:REWRITE INTEGER-LISTP-IMPLIES-INTEGERP))
)
|
