(ALL-<
 (2 2 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE DEFAULT-CDR))
 )
(ALL-<-OF-CONS)
(USE-ALL-<-FOR-CAR)
(USE-ALL-<-FOR-CAR-OF-LAST
 (2 2 (:TYPE-PRESCRIPTION LAST))
 )
(ALL-<-OF-APPEND)
(ALL-<-OF-UNION-EQUAL)
(ALL-<-WHEN-NOT-CONSP)
(ALL-<-WHEN-NOT-CONSP-CHEAP)
(ALL-<-OF-REVAPPEND)
(ALL-<-OF-CDR)
(ALL-<-OF-NTHCDR)
(ALL-<-OF-FIRSTN)
(ALL-<-OF-REMOVE1-EQUAL)
(ALL-<-OF-REMOVE-EQUAL)
(ALL-<-OF-LAST)
(ALL-<-OF-TAKE)
(ALL-<-WHEN-PERM)
(ALL-<-OF-TRUE-LIST-FIX)
(PERM-IMPLIES-EQUAL-ALL-<-1)
(USE-ALL-<)
(USE-ALL-<-2)
(ALL-<-OF-ADD-TO-SET-EQUAL)
(ALL-<-OF-NIL)
(ALL-<-OF-REVERSE-LIST
 (100 16 (:REWRITE USE-ALL-<-FOR-CAR))
 (84 32 (:REWRITE ALL-<-WHEN-NOT-CONSP))
 (35 6 (:REWRITE ALL-<-OF-CDR))
 (29 16 (:REWRITE DEFAULT-<-2))
 (29 16 (:REWRITE DEFAULT-<-1))
 (28 28 (:REWRITE DEFAULT-CAR))
 (26 26 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (22 22 (:REWRITE DEFAULT-CDR))
 (20 4 (:DEFINITION BINARY-APPEND))
 (16 16 (:REWRITE USE-ALL-<-2))
 (16 16 (:REWRITE USE-ALL-<))
 (5 5 (:REWRITE PERM-OF-APPEND-WHEN-NOT-CONSP))
 )
(ALL-<-OF-REVAPPEND-2
 (208 8 (:REWRITE ALL-<-OF-REVAPPEND))
 (185 25 (:REWRITE ALL-<-OF-CDR))
 (164 66 (:REWRITE ALL-<-WHEN-NOT-CONSP))
 (147 24 (:REWRITE USE-ALL-<-FOR-CAR))
 (117 23 (:REWRITE DEFAULT-<-1))
 (80 44 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (70 46 (:REWRITE DEFAULT-CDR))
 (45 23 (:REWRITE DEFAULT-<-2))
 (36 24 (:REWRITE USE-ALL-<))
 (34 22 (:REWRITE DEFAULT-CAR))
 (24 24 (:REWRITE USE-ALL-<-2))
 (12 12 (:TYPE-PRESCRIPTION MEMBERP))
 )
(ALL-<-OF-REVERSE
 (7 1 (:REWRITE DEFAULT-COERCE-3))
 (6 2 (:DEFINITION REVAPPEND))
 (3 3 (:REWRITE ALL-<-WHEN-NOT-CONSP))
 (2 2 (:REWRITE DEFAULT-COERCE-2))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE DEFAULT-COERCE-1))
 )
(<-OF-NTH-OF-0-WHEN-ALL-<-CHEAP
 (24 1 (:DEFINITION ALL-<))
 (6 1 (:REWRITE ALL-<-OF-CDR))
 (5 4 (:REWRITE ALL-<-WHEN-NOT-CONSP))
 (4 4 (:REWRITE ALL-<-WHEN-NOT-CONSP-CHEAP))
 (4 2 (:REWRITE USE-ALL-<))
 (2 2 (:TYPE-PRESCRIPTION MEMBERP))
 (2 2 (:REWRITE USE-ALL-<-2))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 1 (:REWRITE DEFAULT-<-2))
 (2 1 (:REWRITE DEFAULT-<-1))
 )
(ALL-<-OF-SET-DIFFERENCE-EQUAL
 (48 11 (:REWRITE ALL-<-WHEN-NOT-CONSP))
 (25 25 (:REWRITE DEFAULT-CAR))
 (20 20 (:REWRITE DEFAULT-CDR))
 (5 1 (:REWRITE USE-ALL-<))
 (4 4 (:TYPE-PRESCRIPTION MEMBERP))
 (1 1 (:REWRITE USE-ALL-<-2))
 )
(NOT-ALL-<-WHEN-MEMBER-EQUAL
 (30 14 (:REWRITE USE-ALL-<))
 (21 11 (:REWRITE DEFAULT-<-2))
 (21 11 (:REWRITE DEFAULT-<-1))
 (20 20 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (16 16 (:TYPE-PRESCRIPTION MEMBERP))
 (14 14 (:REWRITE USE-ALL-<-2))
 (14 12 (:REWRITE ALL-<-WHEN-NOT-CONSP))
 (13 13 (:REWRITE DEFAULT-CAR))
 (12 12 (:REWRITE ALL-<-WHEN-NOT-CONSP-CHEAP))
 (12 2 (:REWRITE ALL-<-OF-CDR))
 (6 6 (:REWRITE DEFAULT-CDR))
 )
(NOT-ALL-<-WHEN-MEMBERP
 (3 1 (:DEFINITION MEMBERP))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(ALL-<-TRANSITIVE
 (35 19 (:REWRITE DEFAULT-<-2))
 (35 19 (:REWRITE DEFAULT-<-1))
 (32 32 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (32 20 (:REWRITE USE-ALL-<))
 (29 25 (:REWRITE ALL-<-WHEN-NOT-CONSP))
 (25 25 (:REWRITE ALL-<-WHEN-NOT-CONSP-CHEAP))
 (24 4 (:REWRITE ALL-<-OF-CDR))
 (20 20 (:REWRITE USE-ALL-<-2))
 (17 17 (:REWRITE DEFAULT-CAR))
 (12 12 (:TYPE-PRESCRIPTION MEMBERP))
 (12 12 (:REWRITE NOT-ALL-<-WHEN-MEMBERP))
 (12 12 (:REWRITE NOT-ALL-<-WHEN-MEMBER-EQUAL))
 (8 8 (:REWRITE DEFAULT-CDR))
 )
(NOT-<-OF-CAR-WHEN-ALL-<
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 2 (:REWRITE DEFAULT-<-2))
 (4 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE USE-ALL-<-2))
 (2 2 (:REWRITE USE-ALL-<))
 (2 2 (:REWRITE NOT-ALL-<-WHEN-MEMBERP))
 (2 2 (:REWRITE NOT-ALL-<-WHEN-MEMBER-EQUAL))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE ALL-<-WHEN-NOT-CONSP-CHEAP))
 (2 2 (:REWRITE ALL-<-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ALL-<-TRANSITIVE))
 )
(<-OF-CAR-WHEN-ALL-<
 (7 1 (:REWRITE USE-ALL-<-FOR-CAR))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:REWRITE ALL-<-WHEN-NOT-CONSP-CHEAP))
 (2 2 (:REWRITE ALL-<-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ALL-<-TRANSITIVE))
 (2 1 (:REWRITE DEFAULT-<-2))
 (2 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE USE-ALL-<-2))
 (1 1 (:REWRITE USE-ALL-<))
 (1 1 (:REWRITE NOT-ALL-<-WHEN-MEMBERP))
 (1 1 (:REWRITE NOT-ALL-<-WHEN-MEMBER-EQUAL))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(<-OF-CAR-WHEN-ALL-<-CHEAP
 (7 1 (:REWRITE USE-ALL-<-FOR-CAR))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:REWRITE ALL-<-WHEN-NOT-CONSP-CHEAP))
 (2 2 (:REWRITE ALL-<-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ALL-<-TRANSITIVE))
 (2 1 (:REWRITE DEFAULT-<-2))
 (2 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE USE-ALL-<-2))
 (1 1 (:REWRITE USE-ALL-<))
 (1 1 (:REWRITE NOT-ALL-<-WHEN-MEMBERP))
 (1 1 (:REWRITE NOT-ALL-<-WHEN-MEMBER-EQUAL))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(ALL-<-TRANSITIVE-FREE
 (30 1 (:DEFINITION ALL-<))
 (7 1 (:REWRITE USE-ALL-<-FOR-CAR))
 (7 1 (:REWRITE ALL-<-OF-CDR))
 (5 4 (:REWRITE ALL-<-WHEN-NOT-CONSP))
 (4 4 (:REWRITE ALL-<-WHEN-NOT-CONSP-CHEAP))
 (4 2 (:REWRITE USE-ALL-<))
 (3 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:TYPE-PRESCRIPTION MEMBERP))
 (2 2 (:REWRITE USE-ALL-<-2))
 (2 2 (:REWRITE NOT-ALL-<-WHEN-MEMBERP))
 (2 2 (:REWRITE NOT-ALL-<-WHEN-MEMBER-EQUAL))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 1 (:REWRITE <-OF-CAR-WHEN-ALL-<-CHEAP))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(ALL-<-TRANSITIVE-FREE-2
 (33 1 (:DEFINITION ALL-<))
 (8 1 (:REWRITE USE-ALL-<-FOR-CAR))
 (8 1 (:REWRITE ALL-<-OF-CDR))
 (5 4 (:REWRITE ALL-<-WHEN-NOT-CONSP))
 (4 4 (:REWRITE ALL-<-WHEN-NOT-CONSP-CHEAP))
 (4 4 (:REWRITE ALL-<-TRANSITIVE))
 (4 2 (:REWRITE USE-ALL-<))
 (3 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:TYPE-PRESCRIPTION MEMBERP))
 (2 2 (:REWRITE USE-ALL-<-2))
 (2 2 (:REWRITE NOT-ALL-<-WHEN-MEMBERP))
 (2 2 (:REWRITE NOT-ALL-<-WHEN-MEMBER-EQUAL))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 1 (:REWRITE <-OF-CAR-WHEN-ALL-<-CHEAP))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(NOT-<-OF-NTH-WHEN-ALL-<
 (130 15 (:REWRITE USE-ALL-<-FOR-CAR))
 (93 22 (:REWRITE ALL-<-TRANSITIVE-FREE-2))
 (54 32 (:REWRITE DEFAULT-<-2))
 (48 32 (:REWRITE DEFAULT-<-1))
 (32 32 (:REWRITE USE-ALL-<-2))
 (32 32 (:REWRITE USE-ALL-<))
 (32 32 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (30 15 (:REWRITE <-OF-CAR-WHEN-ALL-<-CHEAP))
 (27 21 (:REWRITE ALL-<-WHEN-NOT-CONSP))
 (24 5 (:REWRITE ALL-<-OF-CDR))
 (22 22 (:REWRITE ALL-<-TRANSITIVE-FREE))
 (22 22 (:REWRITE ALL-<-TRANSITIVE))
 (18 18 (:REWRITE DEFAULT-CAR))
 (15 15 (:REWRITE DEFAULT-CDR))
 (15 9 (:REWRITE DEFAULT-+-2))
 (9 9 (:REWRITE NOT-ALL-<-WHEN-MEMBERP))
 (9 9 (:REWRITE NOT-ALL-<-WHEN-MEMBER-EQUAL))
 (9 9 (:REWRITE DEFAULT-+-1))
 (5 5 (:REWRITE ZP-OPEN))
 )
(<-OF-NTH-WHEN-ALL-<
 (48 29 (:REWRITE DEFAULT-<-2))
 (42 29 (:REWRITE DEFAULT-<-1))
 (40 30 (:REWRITE USE-ALL-<))
 (30 30 (:REWRITE USE-ALL-<-2))
 (28 14 (:REWRITE <-OF-CAR-WHEN-ALL-<-CHEAP))
 (26 26 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (20 18 (:REWRITE ALL-<-WHEN-NOT-CONSP))
 (19 19 (:REWRITE ALL-<-TRANSITIVE-FREE-2))
 (19 19 (:REWRITE ALL-<-TRANSITIVE-FREE))
 (19 19 (:REWRITE ALL-<-TRANSITIVE))
 (18 2 (:REWRITE ALL-<-OF-CDR))
 (16 16 (:REWRITE DEFAULT-CAR))
 (15 9 (:REWRITE DEFAULT-+-2))
 (10 10 (:TYPE-PRESCRIPTION MEMBERP))
 (9 9 (:REWRITE NOT-ALL-<-WHEN-MEMBERP))
 (9 9 (:REWRITE NOT-ALL-<-WHEN-MEMBER-EQUAL))
 (9 9 (:REWRITE DEFAULT-+-1))
 (8 8 (:REWRITE DEFAULT-CDR))
 (5 5 (:REWRITE ZP-OPEN))
 )
(ALL-<-WHEN-ALL-<-OF-TAKE-AND-ALL-<-OF-NTHCDR
 (266 37 (:REWRITE ALL-<-WHEN-NOT-CONSP))
 (122 11 (:REWRITE ALL-<-OF-TAKE))
 (107 32 (:REWRITE ZP-OPEN))
 (80 75 (:REWRITE DEFAULT-+-2))
 (75 75 (:REWRITE DEFAULT-+-1))
 (65 31 (:REWRITE USE-ALL-<))
 (45 15 (:REWRITE FOLD-CONSTS-IN-+))
 (43 43 (:REWRITE ALL-<-TRANSITIVE-FREE-2))
 (43 43 (:REWRITE ALL-<-TRANSITIVE-FREE))
 (40 31 (:REWRITE DEFAULT-<-2))
 (36 36 (:REWRITE NOT-ALL-<-WHEN-MEMBERP))
 (36 36 (:REWRITE NOT-ALL-<-WHEN-MEMBER-EQUAL))
 (34 34 (:TYPE-PRESCRIPTION MEMBERP))
 (31 31 (:TYPE-PRESCRIPTION LEN))
 (31 31 (:REWRITE USE-ALL-<-2))
 (25 5 (:DEFINITION LEN))
 (17 17 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (9 9 (:REWRITE ALL-<-OF-CDR))
 (6 6 (:REWRITE USE-ALL-<-FOR-CAR))
 (6 6 (:REWRITE <-OF-CAR-WHEN-ALL-<-CHEAP))
 )
