(NATS)
(XTR)
(APP)
(REV)
(ONE-MINUS-ONE
 (4 3 (:REWRITE DEFAULT-+-2))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE DEFAULT-+-1))
 )
(NEG-1-PLUS-1
 (4 3 (:REWRITE DEFAULT-+-2))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE DEFAULT-+-1))
 )
(LEN-REV
 (80 40 (:REWRITE DEFAULT-+-2))
 (77 68 (:REWRITE DEFAULT-CDR))
 (40 40 (:REWRITE DEFAULT-+-1))
 (35 35 (:REWRITE DEFAULT-CAR))
 )
(NTH-LEN-APP-LEMMA
 (16 11 (:REWRITE DEFAULT-+-2))
 (14 14 (:REWRITE DEFAULT-CDR))
 (12 12 (:TYPE-PRESCRIPTION APP))
 (12 6 (:REWRITE DEFAULT-<-2))
 (11 11 (:REWRITE DEFAULT-+-1))
 (6 6 (:REWRITE DEFAULT-<-1))
 )
(NTH-LEN-APP
 (5 1 (:DEFINITION LEN))
 (3 3 (:REWRITE DEFAULT-CAR))
 (3 1 (:DEFINITION APP))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(NTH-APP
 (88 88 (:TYPE-PRESCRIPTION APP))
 (24 17 (:REWRITE DEFAULT-<-2))
 (23 15 (:REWRITE DEFAULT-+-2))
 (21 3 (:REWRITE NTH-LEN-APP))
 (17 17 (:REWRITE DEFAULT-<-1))
 (16 16 (:REWRITE DEFAULT-CAR))
 (15 15 (:REWRITE DEFAULT-+-1))
 (12 11 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE ZP-OPEN))
 )
(XTR-NATS-APP
 (126 12 (:DEFINITION NTH))
 (54 18 (:REWRITE ZP-OPEN))
 (44 36 (:REWRITE DEFAULT-+-2))
 (40 8 (:DEFINITION LEN))
 (37 35 (:REWRITE DEFAULT-CDR))
 (36 36 (:REWRITE DEFAULT-+-1))
 (30 3 (:REWRITE NTH-LEN-APP))
 (29 27 (:REWRITE DEFAULT-CAR))
 (20 16 (:REWRITE DEFAULT-<-1))
 (19 16 (:REWRITE DEFAULT-<-2))
 (15 5 (:DEFINITION APP))
 (12 4 (:REWRITE FOLD-CONSTS-IN-+))
 (6 6 (:TYPE-PRESCRIPTION APP))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(XTR-NATS-LEN-REV
 (64 10 (:REWRITE ZP-OPEN))
 (44 4 (:DEFINITION NTH))
 (22 19 (:REWRITE DEFAULT-+-2))
 (21 20 (:REWRITE DEFAULT-CDR))
 (20 19 (:REWRITE DEFAULT-CAR))
 (20 4 (:DEFINITION APP))
 (19 19 (:REWRITE DEFAULT-+-1))
 (18 11 (:REWRITE DEFAULT-<-2))
 (16 16 (:TYPE-PRESCRIPTION REV))
 (14 1 (:REWRITE NTH-APP))
 (12 11 (:REWRITE DEFAULT-<-1))
 )
(REV-REV
 (103 92 (:REWRITE DEFAULT-CDR))
 (92 81 (:REWRITE DEFAULT-CAR))
 )
(TRUE-LISTP-REV
 (52 45 (:REWRITE DEFAULT-CDR))
 (30 30 (:REWRITE DEFAULT-CAR))
 )
(TLFIX)
(REV-REV-AGAIN
 (107 97 (:REWRITE DEFAULT-CDR))
 (99 89 (:REWRITE DEFAULT-CAR))
 (64 8 (:REWRITE REV-REV))
 )
(NTH-TLFIX
 (17 16 (:REWRITE DEFAULT-CAR))
 (8 7 (:REWRITE DEFAULT-CDR))
 (6 6 (:REWRITE ZP-OPEN))
 (5 5 (:REWRITE DEFAULT-+-2))
 (5 5 (:REWRITE DEFAULT-+-1))
 )
(XTR-TLFIX
 (54 6 (:DEFINITION NTH))
 (24 6 (:REWRITE ZP-OPEN))
 (16 16 (:REWRITE DEFAULT-CAR))
 (14 14 (:REWRITE DEFAULT-CDR))
 (12 4 (:DEFINITION TLFIX))
 (6 6 (:REWRITE DEFAULT-<-2))
 (6 6 (:REWRITE DEFAULT-<-1))
 (6 6 (:REWRITE DEFAULT-+-2))
 (6 6 (:REWRITE DEFAULT-+-1))
 )
(XTR-NATS-LEN)
