(INTEGERP-OF-POSITION-EQUAL
 (40 8 (:REWRITE POSITION-EQUAL-AC-WHEN-NOT-MEMBER-EQUAL))
 (10 10 (:REWRITE DEFAULT-CDR))
 (10 10 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE DEFAULT-COERCE-2))
 (4 4 (:REWRITE DEFAULT-COERCE-1))
 )
(NATP-OF-POSITION-EQUAL
 (40 8 (:REWRITE POSITION-EQUAL-AC-WHEN-NOT-MEMBER-EQUAL))
 (10 10 (:REWRITE DEFAULT-CDR))
 (10 10 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE DEFAULT-COERCE-2))
 (4 4 (:REWRITE DEFAULT-COERCE-1))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 )
(RATIONALP-OF-POSITION-EQUAL
 (40 8 (:REWRITE POSITION-EQUAL-AC-WHEN-NOT-MEMBER-EQUAL))
 (10 10 (:REWRITE DEFAULT-CDR))
 (10 10 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE DEFAULT-COERCE-2))
 (4 4 (:REWRITE DEFAULT-COERCE-1))
 )
(ACL2-NUMBERP-OF-POSITION-EQUAL
 (40 8 (:REWRITE POSITION-EQUAL-AC-WHEN-NOT-MEMBER-EQUAL))
 (10 10 (:REWRITE DEFAULT-CDR))
 (10 10 (:REWRITE DEFAULT-CAR))
 (7 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 4 (:REWRITE DEFAULT-COERCE-2))
 (4 4 (:REWRITE DEFAULT-COERCE-1))
 )
(POSITION-EQUAL-UNDER-IFF
 (30 8 (:DEFINITION MEMBER-EQUAL))
 (18 2 (:REWRITE POSITION-EQUAL-AC-WHEN-NOT-MEMBER-EQUAL))
 (8 8 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE DEFAULT-COERCE-2))
 (3 3 (:REWRITE DEFAULT-COERCE-1))
 )
(<-OF-POSITION-EQUAL-AND-LENGTH-LINEAR
 (27 2 (:REWRITE DEFAULT-<-1))
 (21 2 (:REWRITE ACL2-NUMBERP-OF-POSITION-EQUAL-AC))
 (12 4 (:REWRITE POSITION-EQUAL-AC-WHEN-NOT-MEMBER-EQUAL))
 (10 2 (:DEFINITION LEN))
 (8 8 (:REWRITE DEFAULT-CDR))
 (7 7 (:REWRITE DEFAULT-COERCE-2))
 (7 7 (:REWRITE DEFAULT-COERCE-1))
 (6 6 (:REWRITE DEFAULT-CAR))
 (4 2 (:REWRITE DEFAULT-+-2))
 (3 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(<-OF-POSITION-EQUAL-AND-LENGTH
 (32 2 (:REWRITE ACL2-NUMBERP-OF-POSITION-EQUAL-AC))
 (25 5 (:DEFINITION LEN))
 (13 13 (:REWRITE DEFAULT-CDR))
 (11 11 (:REWRITE DEFAULT-COERCE-2))
 (11 11 (:REWRITE DEFAULT-COERCE-1))
 (10 6 (:REWRITE DEFAULT-<-2))
 (10 5 (:REWRITE DEFAULT-+-2))
 (8 8 (:REWRITE DEFAULT-CAR))
 (5 5 (:REWRITE DEFAULT-+-1))
 )
(<-OF-POSITION-EQUAL-AND-LEN-LINEAR
 (24 2 (:REWRITE DEFAULT-<-1))
 (18 2 (:REWRITE ACL2-NUMBERP-OF-POSITION-EQUAL-AC))
 (10 2 (:DEFINITION LEN))
 (6 6 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE POSITION-EQUAL-AC-WHEN-NOT-MEMBER-EQUAL))
 (4 4 (:REWRITE DEFAULT-CAR))
 (4 2 (:REWRITE DEFAULT-+-2))
 (3 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 (1 1 (:LINEAR <-OF-POSITION-EQUAL-AND-LENGTH-LINEAR))
 )
(<-OF-POSITION-EQUAL-AND-LEN
 (32 2 (:REWRITE ACL2-NUMBERP-OF-POSITION-EQUAL-AC))
 (18 9 (:REWRITE DEFAULT-+-2))
 (17 17 (:REWRITE DEFAULT-CDR))
 (9 9 (:REWRITE DEFAULT-+-1))
 (8 8 (:REWRITE DEFAULT-CAR))
 (8 4 (:REWRITE DEFAULT-<-2))
 )
(POSITION-EQUAL-WHEN-NOT-MEMBER-EQUAL
 (3 1 (:DEFINITION MEMBER-EQUAL))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(POSITION-EQUAL-OF-CAR-SAME
 (4 1 (:REWRITE POSITION-EQUAL-WHEN-NOT-MEMBER-EQUAL))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 1 (:DEFINITION MEMBER-EQUAL))
 )
(NTH-OF-POSITION-EQUAL-SAME
 (8 8 (:REWRITE DEFAULT-CDR))
 (6 1 (:REWRITE ZP-OPEN))
 (4 4 (:TYPE-PRESCRIPTION NATP-POSITION-AC))
 (2 2 (:REWRITE DEFAULT-COERCE-2))
 (2 2 (:REWRITE DEFAULT-COERCE-1))
 (1 1 (:REWRITE POSITION-EQUAL-WHEN-NOT-MEMBER-EQUAL))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
