(FAT32-ENTRY-P)
(FAT32-MASKED-ENTRY-P)
(FAT32-ENTRY-FIX
 (1 1 (:TYPE-PRESCRIPTION FAT32-ENTRY-FIX))
 )
(FAT32-MASKED-ENTRY-FIX
 (1 1 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-FIX))
 )
(FAT32-MASKED-ENTRY-P-CORRECTNESS-1)
(FAT32-ENTRY-MASK)
(FAT32-ENTRY-MASK-CORRECTNESS-1)
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT
 (10 10 (:REWRITE DEFAULT-<-2))
 (10 10 (:REWRITE DEFAULT-<-1))
 (5 5 (:REWRITE MEMBER-OF-A-NAT-LIST))
 )
(FAT32-ENTRY-EQUIV$INLINE
 (4 4 (:TYPE-PRESCRIPTION FAT32-ENTRY-FIX))
 )
(FAT32-ENTRY-EQUIV-IS-AN-EQUIVALENCE)
(FAT32-ENTRY-EQUIV-IMPLIES-EQUAL-FAT32-ENTRY-FIX-1)
(FAT32-ENTRY-FIX-UNDER-FAT32-ENTRY-EQUIV)
(EQUAL-OF-FAT32-ENTRY-FIX-1-FORWARD-TO-FAT32-ENTRY-EQUIV)
(EQUAL-OF-FAT32-ENTRY-FIX-2-FORWARD-TO-FAT32-ENTRY-EQUIV)
(FAT32-ENTRY-EQUIV-OF-FAT32-ENTRY-FIX-1-FORWARD)
(FAT32-ENTRY-EQUIV-OF-FAT32-ENTRY-FIX-2-FORWARD)
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT
 (10 10 (:REWRITE DEFAULT-<-2))
 (10 10 (:REWRITE DEFAULT-<-1))
 (5 5 (:REWRITE MEMBER-OF-A-NAT-LIST))
 )
(FAT32-MASKED-ENTRY-EQUIV$INLINE
 (4 4 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-FIX))
 )
(FAT32-MASKED-ENTRY-EQUIV-IS-AN-EQUIVALENCE)
(FAT32-MASKED-ENTRY-EQUIV-IMPLIES-EQUAL-FAT32-MASKED-ENTRY-FIX-1)
(FAT32-MASKED-ENTRY-FIX-UNDER-FAT32-MASKED-ENTRY-EQUIV)
(EQUAL-OF-FAT32-MASKED-ENTRY-FIX-1-FORWARD-TO-FAT32-MASKED-ENTRY-EQUIV)
(EQUAL-OF-FAT32-MASKED-ENTRY-FIX-2-FORWARD-TO-FAT32-MASKED-ENTRY-EQUIV)
(FAT32-MASKED-ENTRY-EQUIV-OF-FAT32-MASKED-ENTRY-FIX-1-FORWARD)
(FAT32-MASKED-ENTRY-EQUIV-OF-FAT32-MASKED-ENTRY-FIX-2-FORWARD)
(TMP-DEFTYPES-FAT32-ENTRY-P-OF-FAT32-ENTRY-FIX
 (45 45 (:TYPE-PRESCRIPTION FAT32-ENTRY-FIX))
 (8 8 (:REWRITE DEFAULT-<-2))
 (8 8 (:REWRITE DEFAULT-<-1))
 (4 4 (:REWRITE MEMBER-OF-A-NAT-LIST))
 )
(TMP-DEFTYPES-FAT32-ENTRY-FIX-WHEN-FAT32-ENTRY-P
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE MEMBER-OF-A-NAT-LIST))
 )
(FAT32-ENTRY-LIST-P)
(STD::DEFLIST-LOCAL-BOOLEANP-ELEMENT-THM)
(FAT32-ENTRY-LIST-P-OF-CONS)
(FAT32-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-ENTRY-LIST-P)
(FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP)
(FAT32-ENTRY-P-OF-CAR-WHEN-FAT32-ENTRY-LIST-P)
(TRUE-LISTP-WHEN-FAT32-ENTRY-LIST-P-COMPOUND-RECOGNIZER)
(FAT32-ENTRY-LIST-P-OF-LIST-FIX)
(FAT32-ENTRY-LIST-P-OF-REV)
(FAT32-ENTRY-LIST-FIX$INLINE
 (1 1 (:TYPE-PRESCRIPTION FAT32-ENTRY-FIX))
 )
(FAT32-ENTRY-LIST-P-OF-FAT32-ENTRY-LIST-FIX
 (15 1 (:REWRITE TMP-DEFTYPES-FAT32-ENTRY-FIX-WHEN-FAT32-ENTRY-P))
 (12 5 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (12 2 (:REWRITE FAT32-ENTRY-P-OF-CAR-WHEN-FAT32-ENTRY-LIST-P))
 (9 1 (:DEFINITION FAT32-ENTRY-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-ENTRY-P))
 (2 1 (:REWRITE FAT32-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-ENTRY-LIST-P))
 )
(FAT32-ENTRY-LIST-FIX-WHEN-FAT32-ENTRY-LIST-P
 (17 4 (:REWRITE FAT32-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-ENTRY-LIST-P))
 (9 3 (:REWRITE FAT32-ENTRY-P-OF-CAR-WHEN-FAT32-ENTRY-LIST-P))
 )
(FAT32-ENTRY-LIST-FIX$INLINE
 (4 4 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE FAT32-ENTRY-P-OF-CAR-WHEN-FAT32-ENTRY-LIST-P))
 (4 1 (:REWRITE FAT32-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-ENTRY-LIST-P))
 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT
 (1 1 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 )
(FAT32-ENTRY-LIST-EQUIV$INLINE)
(FAT32-ENTRY-LIST-EQUIV-IS-AN-EQUIVALENCE)
(FAT32-ENTRY-LIST-EQUIV-IMPLIES-EQUAL-FAT32-ENTRY-LIST-FIX-1)
(FAT32-ENTRY-LIST-FIX-UNDER-FAT32-ENTRY-LIST-EQUIV)
(EQUAL-OF-FAT32-ENTRY-LIST-FIX-1-FORWARD-TO-FAT32-ENTRY-LIST-EQUIV)
(EQUAL-OF-FAT32-ENTRY-LIST-FIX-2-FORWARD-TO-FAT32-ENTRY-LIST-EQUIV)
(FAT32-ENTRY-LIST-EQUIV-OF-FAT32-ENTRY-LIST-FIX-1-FORWARD)
(FAT32-ENTRY-LIST-EQUIV-OF-FAT32-ENTRY-LIST-FIX-2-FORWARD)
(CAR-OF-FAT32-ENTRY-LIST-FIX-X-UNDER-FAT32-ENTRY-EQUIV
 (21 3 (:REWRITE TMP-DEFTYPES-FAT32-ENTRY-FIX-WHEN-FAT32-ENTRY-P))
 (12 12 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (12 3 (:REWRITE FAT32-ENTRY-P-OF-CAR-WHEN-FAT32-ENTRY-LIST-P))
 (12 2 (:REWRITE FAT32-ENTRY-LIST-FIX-WHEN-FAT32-ENTRY-LIST-P))
 (6 6 (:TYPE-PRESCRIPTION FAT32-ENTRY-P))
 (6 6 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE FAT32-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-ENTRY-LIST-P))
 (3 3 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-FIX$INLINE))
 )
(CAR-FAT32-ENTRY-LIST-EQUIV-CONGRUENCE-ON-X-UNDER-FAT32-ENTRY-EQUIV)
(CDR-OF-FAT32-ENTRY-LIST-FIX-X-UNDER-FAT32-ENTRY-LIST-EQUIV
 (29 3 (:REWRITE FAT32-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-ENTRY-LIST-P))
 (14 2 (:REWRITE TMP-DEFTYPES-FAT32-ENTRY-FIX-WHEN-FAT32-ENTRY-P))
 (8 2 (:REWRITE FAT32-ENTRY-P-OF-CAR-WHEN-FAT32-ENTRY-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-ENTRY-P))
 )
(CDR-FAT32-ENTRY-LIST-EQUIV-CONGRUENCE-ON-X-UNDER-FAT32-ENTRY-LIST-EQUIV)
(CONS-OF-FAT32-ENTRY-FIX-X-UNDER-FAT32-ENTRY-LIST-EQUIV
 (20 4 (:REWRITE FAT32-ENTRY-LIST-FIX-WHEN-FAT32-ENTRY-LIST-P))
 (9 2 (:REWRITE FAT32-ENTRY-LIST-P-OF-CONS))
 (6 6 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (5 5 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 )
(CONS-FAT32-ENTRY-EQUIV-CONGRUENCE-ON-X-UNDER-FAT32-ENTRY-LIST-EQUIV)
(CONS-OF-FAT32-ENTRY-LIST-FIX-Y-UNDER-FAT32-ENTRY-LIST-EQUIV
 (12 2 (:REWRITE FAT32-ENTRY-LIST-P-OF-CONS))
 (8 8 (:TYPE-PRESCRIPTION FAT32-ENTRY-P))
 (5 4 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 2 (:REWRITE TMP-DEFTYPES-FAT32-ENTRY-FIX-WHEN-FAT32-ENTRY-P))
 )
(CONS-FAT32-ENTRY-LIST-EQUIV-CONGRUENCE-ON-Y-UNDER-FAT32-ENTRY-LIST-EQUIV)
(CONSP-OF-FAT32-ENTRY-LIST-FIX
 (12 2 (:REWRITE FAT32-ENTRY-LIST-FIX-WHEN-FAT32-ENTRY-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (7 1 (:REWRITE TMP-DEFTYPES-FAT32-ENTRY-FIX-WHEN-FAT32-ENTRY-P))
 (4 4 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE FAT32-ENTRY-P-OF-CAR-WHEN-FAT32-ENTRY-LIST-P))
 (4 1 (:REWRITE FAT32-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-ENTRY-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-ENTRY-P))
 )
(FAT32-ENTRY-LIST-FIX-UNDER-IFF
 (12 2 (:REWRITE FAT32-ENTRY-LIST-FIX-WHEN-FAT32-ENTRY-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (7 1 (:REWRITE TMP-DEFTYPES-FAT32-ENTRY-FIX-WHEN-FAT32-ENTRY-P))
 (4 4 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE FAT32-ENTRY-P-OF-CAR-WHEN-FAT32-ENTRY-LIST-P))
 (4 1 (:REWRITE FAT32-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-ENTRY-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-ENTRY-P))
 )
(FAT32-ENTRY-LIST-FIX-OF-CONS
 (13 3 (:REWRITE FAT32-ENTRY-LIST-FIX-WHEN-FAT32-ENTRY-LIST-P))
 (5 1 (:REWRITE FAT32-ENTRY-LIST-P-OF-CONS))
 (4 4 (:TYPE-PRESCRIPTION FAT32-ENTRY-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (4 2 (:REWRITE TMP-DEFTYPES-FAT32-ENTRY-FIX-WHEN-FAT32-ENTRY-P))
 (3 3 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 )
(LEN-OF-FAT32-ENTRY-LIST-FIX
 (23 4 (:REWRITE FAT32-ENTRY-LIST-FIX-WHEN-FAT32-ENTRY-LIST-P))
 (13 13 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (8 2 (:REWRITE FAT32-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-ENTRY-LIST-P))
 (7 7 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (7 1 (:REWRITE TMP-DEFTYPES-FAT32-ENTRY-FIX-WHEN-FAT32-ENTRY-P))
 (4 1 (:REWRITE FAT32-ENTRY-P-OF-CAR-WHEN-FAT32-ENTRY-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-ENTRY-P))
 (1 1 (:REWRITE FTY::EQUAL-OF-LEN))
 )
(FAT32-ENTRY-LIST-FIX-OF-APPEND
 (56 10 (:REWRITE FAT32-ENTRY-LIST-FIX-WHEN-FAT32-ENTRY-LIST-P))
 (23 23 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (18 12 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (8 2 (:REWRITE TMP-DEFTYPES-FAT32-ENTRY-FIX-WHEN-FAT32-ENTRY-P))
 (8 2 (:REWRITE FAT32-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-ENTRY-LIST-P))
 (4 1 (:REWRITE FAT32-ENTRY-P-OF-CAR-WHEN-FAT32-ENTRY-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-ENTRY-P))
 )
(FAT32-ENTRY-LIST-FIX-OF-REPEAT
 (20 2 (:REWRITE FAT32-ENTRY-LIST-FIX-WHEN-FAT32-ENTRY-LIST-P))
 (10 4 (:REWRITE TMP-DEFTYPES-FAT32-ENTRY-FIX-WHEN-FAT32-ENTRY-P))
 (8 2 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION FAT32-ENTRY-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-ENTRY-LIST-FIX-UNDER-FAT32-ENTRY-LIST-EQUIV))
 )
(LIST-EQUIV-REFINES-FAT32-ENTRY-LIST-EQUIV
 (98 14 (:REWRITE FAT32-ENTRY-LIST-FIX-WHEN-FAT32-ENTRY-LIST-P))
 (72 8 (:REWRITE TMP-DEFTYPES-FAT32-ENTRY-FIX-WHEN-FAT32-ENTRY-P))
 (70 70 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (60 18 (:REWRITE FAT32-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-ENTRY-LIST-P))
 (48 8 (:REWRITE FAT32-ENTRY-P-OF-CAR-WHEN-FAT32-ENTRY-LIST-P))
 (36 36 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION FAT32-ENTRY-P))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(NTH-OF-FAT32-ENTRY-LIST-FIX
 (111 16 (:REWRITE FAT32-ENTRY-LIST-FIX-WHEN-FAT32-ENTRY-LIST-P))
 (58 48 (:REWRITE DEFAULT-+-2))
 (48 48 (:REWRITE DEFAULT-+-1))
 (48 44 (:REWRITE DEFAULT-<-2))
 (48 12 (:REWRITE FAT32-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-ENTRY-LIST-P))
 (46 40 (:REWRITE DEFAULT-CDR))
 (44 44 (:REWRITE DEFAULT-<-1))
 (43 13 (:REWRITE ZP-OPEN))
 (36 36 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (33 9 (:REWRITE FAT32-ENTRY-P-OF-CAR-WHEN-FAT32-ENTRY-LIST-P))
 (30 10 (:REWRITE FOLD-CONSTS-IN-+))
 (30 4 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (26 3 (:REWRITE NON-NIL-NTH))
 (22 4 (:LINEAR NON-NIL-NTH))
 (22 2 (:DEFINITION INTEGER-LISTP))
 (17 17 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (17 11 (:REWRITE DEFAULT-CAR))
 (13 13 (:REWRITE CONSP-OF-FAT32-ENTRY-LIST-FIX))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-ENTRY-FIX-UNDER-FAT32-ENTRY-EQUIV))
 (4 4 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (4 2 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 )
(FAT32-ENTRY-LIST-EQUIV-IMPLIES-FAT32-ENTRY-LIST-EQUIV-APPEND-1
 (181 32 (:REWRITE FAT32-ENTRY-LIST-FIX-WHEN-FAT32-ENTRY-LIST-P))
 (131 17 (:REWRITE TMP-DEFTYPES-FAT32-ENTRY-FIX-WHEN-FAT32-ENTRY-P))
 (126 126 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (80 17 (:REWRITE FAT32-ENTRY-P-OF-CAR-WHEN-FAT32-ENTRY-LIST-P))
 (79 22 (:REWRITE FAT32-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-ENTRY-LIST-P))
 (64 64 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (34 34 (:TYPE-PRESCRIPTION FAT32-ENTRY-P))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(FAT32-ENTRY-LIST-EQUIV-IMPLIES-FAT32-ENTRY-LIST-EQUIV-APPEND-2
 (267 46 (:REWRITE FAT32-ENTRY-LIST-FIX-WHEN-FAT32-ENTRY-LIST-P))
 (206 26 (:REWRITE TMP-DEFTYPES-FAT32-ENTRY-FIX-WHEN-FAT32-ENTRY-P))
 (189 189 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (138 39 (:REWRITE FAT32-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-ENTRY-LIST-P))
 (128 26 (:REWRITE FAT32-ENTRY-P-OF-CAR-WHEN-FAT32-ENTRY-LIST-P))
 (95 95 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (52 52 (:TYPE-PRESCRIPTION FAT32-ENTRY-P))
 (4 4 (:REWRITE CONSP-OF-FAT32-ENTRY-LIST-FIX))
 )
(FAT32-ENTRY-LIST-EQUIV-IMPLIES-FAT32-ENTRY-LIST-EQUIV-NTHCDR-2
 (249 39 (:REWRITE FAT32-ENTRY-LIST-FIX-WHEN-FAT32-ENTRY-LIST-P))
 (175 175 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (174 22 (:REWRITE TMP-DEFTYPES-FAT32-ENTRY-FIX-WHEN-FAT32-ENTRY-P))
 (117 33 (:REWRITE FAT32-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-ENTRY-LIST-P))
 (108 22 (:REWRITE FAT32-ENTRY-P-OF-CAR-WHEN-FAT32-ENTRY-LIST-P))
 (88 88 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (44 44 (:TYPE-PRESCRIPTION FAT32-ENTRY-P))
 )
(FAT32-ENTRY-LIST-EQUIV-IMPLIES-FAT32-ENTRY-LIST-EQUIV-TAKE-2
 (326 38 (:REWRITE FAT32-ENTRY-LIST-FIX-WHEN-FAT32-ENTRY-LIST-P))
 (222 28 (:REWRITE TMP-DEFTYPES-FAT32-ENTRY-FIX-WHEN-FAT32-ENTRY-P))
 (190 190 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (149 39 (:REWRITE FAT32-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-ENTRY-LIST-P))
 (140 26 (:REWRITE FAT32-ENTRY-P-OF-CAR-WHEN-FAT32-ENTRY-LIST-P))
 (119 95 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (54 54 (:TYPE-PRESCRIPTION FAT32-ENTRY-P))
 (40 40 (:TYPE-PRESCRIPTION FAT32-ENTRY-FIX))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-ENTRY-LIST-FIX-UNDER-FAT32-ENTRY-LIST-EQUIV))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(TMP-DEFTYPES-FAT32-MASKED-ENTRY-P-OF-FAT32-MASKED-ENTRY-FIX
 (45 45 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-FIX))
 (8 8 (:REWRITE DEFAULT-<-2))
 (8 8 (:REWRITE DEFAULT-<-1))
 (4 4 (:REWRITE MEMBER-OF-A-NAT-LIST))
 )
(TMP-DEFTYPES-FAT32-MASKED-ENTRY-FIX-WHEN-FAT32-MASKED-ENTRY-P
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE MEMBER-OF-A-NAT-LIST))
 )
(FAT32-MASKED-ENTRY-LIST-P)
(STD::DEFLIST-LOCAL-BOOLEANP-ELEMENT-THM)
(FAT32-MASKED-ENTRY-LIST-P-OF-CONS)
(FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P)
(FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP)
(FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P)
(TRUE-LISTP-WHEN-FAT32-MASKED-ENTRY-LIST-P-COMPOUND-RECOGNIZER)
(FAT32-MASKED-ENTRY-LIST-P-OF-LIST-FIX)
(FAT32-MASKED-ENTRY-LIST-P-OF-REV)
(FAT32-MASKED-ENTRY-LIST-FIX$INLINE
 (1 1 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-FIX))
 )
(FAT32-MASKED-ENTRY-LIST-P-OF-FAT32-MASKED-ENTRY-LIST-FIX
 (15 1 (:REWRITE TMP-DEFTYPES-FAT32-MASKED-ENTRY-FIX-WHEN-FAT32-MASKED-ENTRY-P))
 (12 5 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (12 2 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (9 1 (:DEFINITION FAT32-MASKED-ENTRY-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (2 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 )
(FAT32-MASKED-ENTRY-LIST-FIX-WHEN-FAT32-MASKED-ENTRY-LIST-P
 (17 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (9 3 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 )
(FAT32-MASKED-ENTRY-LIST-FIX$INLINE
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (4 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 )
(FAT32-MASKED-ENTRY-LIST-EQUIV$INLINE)
(FAT32-MASKED-ENTRY-LIST-EQUIV-IS-AN-EQUIVALENCE)
(FAT32-MASKED-ENTRY-LIST-EQUIV-IMPLIES-EQUAL-FAT32-MASKED-ENTRY-LIST-FIX-1)
(FAT32-MASKED-ENTRY-LIST-FIX-UNDER-FAT32-MASKED-ENTRY-LIST-EQUIV)
(EQUAL-OF-FAT32-MASKED-ENTRY-LIST-FIX-1-FORWARD-TO-FAT32-MASKED-ENTRY-LIST-EQUIV)
(EQUAL-OF-FAT32-MASKED-ENTRY-LIST-FIX-2-FORWARD-TO-FAT32-MASKED-ENTRY-LIST-EQUIV)
(FAT32-MASKED-ENTRY-LIST-EQUIV-OF-FAT32-MASKED-ENTRY-LIST-FIX-1-FORWARD)
(FAT32-MASKED-ENTRY-LIST-EQUIV-OF-FAT32-MASKED-ENTRY-LIST-FIX-2-FORWARD)
(CAR-OF-FAT32-MASKED-ENTRY-LIST-FIX-X-UNDER-FAT32-MASKED-ENTRY-EQUIV
 (21 3 (:REWRITE TMP-DEFTYPES-FAT32-MASKED-ENTRY-FIX-WHEN-FAT32-MASKED-ENTRY-P))
 (12 12 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (12 3 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (12 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-FIX-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (6 6 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (6 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (3 3 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-FIX$INLINE))
 )
(CAR-FAT32-MASKED-ENTRY-LIST-EQUIV-CONGRUENCE-ON-X-UNDER-FAT32-MASKED-ENTRY-EQUIV)
(CDR-OF-FAT32-MASKED-ENTRY-LIST-FIX-X-UNDER-FAT32-MASKED-ENTRY-LIST-EQUIV
 (29 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (14 2 (:REWRITE TMP-DEFTYPES-FAT32-MASKED-ENTRY-FIX-WHEN-FAT32-MASKED-ENTRY-P))
 (8 2 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 )
(CDR-FAT32-MASKED-ENTRY-LIST-EQUIV-CONGRUENCE-ON-X-UNDER-FAT32-MASKED-ENTRY-LIST-EQUIV)
(CONS-OF-FAT32-MASKED-ENTRY-FIX-X-UNDER-FAT32-MASKED-ENTRY-LIST-EQUIV
 (20 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-FIX-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (9 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CONS))
 (6 6 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (5 5 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 )
(CONS-FAT32-MASKED-ENTRY-EQUIV-CONGRUENCE-ON-X-UNDER-FAT32-MASKED-ENTRY-LIST-EQUIV)
(CONS-OF-FAT32-MASKED-ENTRY-LIST-FIX-Y-UNDER-FAT32-MASKED-ENTRY-LIST-EQUIV
 (12 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CONS))
 (8 8 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (5 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 2 (:REWRITE TMP-DEFTYPES-FAT32-MASKED-ENTRY-FIX-WHEN-FAT32-MASKED-ENTRY-P))
 )
(CONS-FAT32-MASKED-ENTRY-LIST-EQUIV-CONGRUENCE-ON-Y-UNDER-FAT32-MASKED-ENTRY-LIST-EQUIV)
(CONSP-OF-FAT32-MASKED-ENTRY-LIST-FIX
 (12 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-FIX-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (7 1 (:REWRITE TMP-DEFTYPES-FAT32-MASKED-ENTRY-FIX-WHEN-FAT32-MASKED-ENTRY-P))
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (4 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 )
(FAT32-MASKED-ENTRY-LIST-FIX-UNDER-IFF
 (12 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-FIX-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (7 1 (:REWRITE TMP-DEFTYPES-FAT32-MASKED-ENTRY-FIX-WHEN-FAT32-MASKED-ENTRY-P))
 (4 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (4 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 )
(FAT32-MASKED-ENTRY-LIST-FIX-OF-CONS
 (13 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-FIX-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (5 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CONS))
 (4 4 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (4 2 (:REWRITE TMP-DEFTYPES-FAT32-MASKED-ENTRY-FIX-WHEN-FAT32-MASKED-ENTRY-P))
 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 )
(LEN-OF-FAT32-MASKED-ENTRY-LIST-FIX
 (23 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-FIX-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (13 13 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (8 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (7 7 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (7 1 (:REWRITE TMP-DEFTYPES-FAT32-MASKED-ENTRY-FIX-WHEN-FAT32-MASKED-ENTRY-P))
 (4 1 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (1 1 (:REWRITE FTY::EQUAL-OF-LEN))
 )
(FAT32-MASKED-ENTRY-LIST-FIX-OF-APPEND
 (56 10 (:REWRITE FAT32-MASKED-ENTRY-LIST-FIX-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (23 23 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (18 12 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (8 2 (:REWRITE TMP-DEFTYPES-FAT32-MASKED-ENTRY-FIX-WHEN-FAT32-MASKED-ENTRY-P))
 (8 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (4 1 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 )
(FAT32-MASKED-ENTRY-LIST-FIX-OF-REPEAT
 (20 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-FIX-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (10 4 (:REWRITE TMP-DEFTYPES-FAT32-MASKED-ENTRY-FIX-WHEN-FAT32-MASKED-ENTRY-P))
 (8 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-MASKED-ENTRY-LIST-FIX-UNDER-FAT32-MASKED-ENTRY-LIST-EQUIV))
 )
(LIST-EQUIV-REFINES-FAT32-MASKED-ENTRY-LIST-EQUIV
 (98 14 (:REWRITE FAT32-MASKED-ENTRY-LIST-FIX-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (72 8 (:REWRITE TMP-DEFTYPES-FAT32-MASKED-ENTRY-FIX-WHEN-FAT32-MASKED-ENTRY-P))
 (70 70 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (60 18 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (48 8 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (36 36 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(NTH-OF-FAT32-MASKED-ENTRY-LIST-FIX
 (111 16 (:REWRITE FAT32-MASKED-ENTRY-LIST-FIX-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (58 48 (:REWRITE DEFAULT-+-2))
 (48 48 (:REWRITE DEFAULT-+-1))
 (48 44 (:REWRITE DEFAULT-<-2))
 (48 12 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (46 40 (:REWRITE DEFAULT-CDR))
 (44 44 (:REWRITE DEFAULT-<-1))
 (43 13 (:REWRITE ZP-OPEN))
 (36 36 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (33 9 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (30 10 (:REWRITE FOLD-CONSTS-IN-+))
 (30 4 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (26 3 (:REWRITE NON-NIL-NTH))
 (22 4 (:LINEAR NON-NIL-NTH))
 (22 2 (:DEFINITION INTEGER-LISTP))
 (17 17 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (17 11 (:REWRITE DEFAULT-CAR))
 (13 13 (:REWRITE CONSP-OF-FAT32-MASKED-ENTRY-LIST-FIX))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-MASKED-ENTRY-FIX-UNDER-FAT32-MASKED-ENTRY-EQUIV))
 (4 4 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (4 2 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 )
(FAT32-MASKED-ENTRY-LIST-EQUIV-IMPLIES-FAT32-MASKED-ENTRY-LIST-EQUIV-APPEND-1
 (181 32 (:REWRITE FAT32-MASKED-ENTRY-LIST-FIX-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (131 17 (:REWRITE TMP-DEFTYPES-FAT32-MASKED-ENTRY-FIX-WHEN-FAT32-MASKED-ENTRY-P))
 (126 126 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (80 17 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (79 22 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (64 64 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (34 34 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(FAT32-MASKED-ENTRY-LIST-EQUIV-IMPLIES-FAT32-MASKED-ENTRY-LIST-EQUIV-APPEND-2
 (267 46 (:REWRITE FAT32-MASKED-ENTRY-LIST-FIX-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (206 26 (:REWRITE TMP-DEFTYPES-FAT32-MASKED-ENTRY-FIX-WHEN-FAT32-MASKED-ENTRY-P))
 (189 189 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (138 39 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (128 26 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (95 95 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (52 52 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (4 4 (:REWRITE CONSP-OF-FAT32-MASKED-ENTRY-LIST-FIX))
 )
(FAT32-MASKED-ENTRY-LIST-EQUIV-IMPLIES-FAT32-MASKED-ENTRY-LIST-EQUIV-NTHCDR-2
 (249 39 (:REWRITE FAT32-MASKED-ENTRY-LIST-FIX-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (175 175 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (174 22 (:REWRITE TMP-DEFTYPES-FAT32-MASKED-ENTRY-FIX-WHEN-FAT32-MASKED-ENTRY-P))
 (117 33 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (108 22 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (88 88 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (44 44 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 )
(FAT32-MASKED-ENTRY-LIST-EQUIV-IMPLIES-FAT32-MASKED-ENTRY-LIST-EQUIV-TAKE-2
 (326 38 (:REWRITE FAT32-MASKED-ENTRY-LIST-FIX-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (222 28 (:REWRITE TMP-DEFTYPES-FAT32-MASKED-ENTRY-FIX-WHEN-FAT32-MASKED-ENTRY-P))
 (190 190 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (149 39 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (140 26 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (119 95 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (54 54 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (40 40 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-FIX))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-MASKED-ENTRY-LIST-FIX-UNDER-FAT32-MASKED-ENTRY-LIST-EQUIV))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P
 (120 17 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (101 7 (:REWRITE DEFAULT-<-1))
 (94 8 (:DEFINITION INTEGER-LISTP))
 (64 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (62 4 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (60 8 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (54 2 (:DEFINITION ACL2-NUMBER-LISTP))
 (44 4 (:DEFINITION RATIONAL-LISTP))
 (30 30 (:REWRITE DEFAULT-CAR))
 (19 19 (:REWRITE DEFAULT-CDR))
 (19 7 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (18 9 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (16 16 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (13 3 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (12 2 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (11 11 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (11 11 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 8 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (8 4 (:REWRITE RATIONAL-LISTP-OF-CDR-WHEN-RATIONAL-LISTP))
 (8 1 (:DEFINITION MEMBER-EQUAL))
 (7 7 (:REWRITE DEFAULT-<-2))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 4 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (4 2 (:REWRITE ACL2-NUMBER-LISTP-OF-CDR-WHEN-ACL2-NUMBER-LISTP))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 )
(MEMBER-OF-FAT32-ENTRY-LIST
 (56 7 (:REWRITE SUBSETP-MEMBER . 3))
 (47 2 (:DEFINITION SUBSETP-EQUAL))
 (14 14 (:REWRITE DEFAULT-CAR))
 (12 12 (:REWRITE SUBSETP-MEMBER . 2))
 (12 12 (:REWRITE SUBSETP-MEMBER . 1))
 (10 10 (:REWRITE DEFAULT-CDR))
 (7 7 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (7 7 (:REWRITE SUBSETP-MEMBER . 4))
 (5 5 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE SUBSETP-IS-TRANSITIVE))
 )
(FAT32-MASKED-ENTRY-LIST-P-OF-MAKE-LIST-AC
 (25 11 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE ZP-OPEN))
 (2 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(FAT32-MASKED-ENTRY-LIST-P-OF-APPEND
 (188 62 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (123 12 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (91 15 (:DEFINITION STRING-LISTP))
 (72 12 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (62 62 (:TYPE-PRESCRIPTION STRING-LISTP))
 (45 45 (:REWRITE DEFAULT-CDR))
 (35 35 (:REWRITE DEFAULT-CAR))
 (24 24 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (24 12 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (12 12 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (12 12 (:REWRITE SET::IN-SET))
 )
(FAT32-ENTRY-LIST-P-OF-UPDATE-NTH
 (71 11 (:DEFINITION NTH))
 (67 7 (:LINEAR NON-NIL-NTH))
 (31 25 (:REWRITE DEFAULT-+-2))
 (25 25 (:REWRITE DEFAULT-+-1))
 (24 3 (:REWRITE NON-NIL-NTH))
 (21 21 (:REWRITE DEFAULT-CDR))
 (18 9 (:REWRITE ZP-OPEN))
 (17 11 (:REWRITE DEFAULT-<-2))
 (14 11 (:REWRITE DEFAULT-<-1))
 (11 11 (:REWRITE MEMBER-OF-FAT32-ENTRY-LIST))
 (9 3 (:REWRITE FOLD-CONSTS-IN-+))
 (8 2 (:DEFINITION NATP))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE DEFAULT-CAR))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:REWRITE MEMBER-OF-A-NAT-LIST))
 )
(SET-INDICES-IN-FA-TABLE-GUARD-LEMMA-2)
(FAT32-ENTRY-P-OF-NTH
 (45 35 (:REWRITE DEFAULT-+-2))
 (35 35 (:REWRITE DEFAULT-+-1))
 (30 30 (:REWRITE DEFAULT-CDR))
 (27 18 (:REWRITE DEFAULT-<-2))
 (26 6 (:REWRITE NON-NIL-NTH))
 (22 13 (:REWRITE ZP-OPEN))
 (19 18 (:REWRITE DEFAULT-<-1))
 (10 10 (:REWRITE MEMBER-OF-FAT32-ENTRY-LIST))
 (8 8 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(FAT32-UPDATE-LOWER-28)
(FAT32-UPDATE-LOWER-28-CORRECTNESS-1
 (93 2 (:REWRITE LOGAND-WITH-MASK))
 (89 1 (:DEFINITION LOGMASKP))
 (35 1 (:DEFINITION EXPT2$INLINE))
 (33 1 (:DEFINITION INTEGER-LENGTH))
 (28 1 (:DEFINITION FLOOR))
 (24 1 (:DEFINITION EXPT))
 (17 17 (:TYPE-PRESCRIPTION INTEGER-LENGTH))
 (17 1 (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT))
 (13 7 (:TYPE-PRESCRIPTION RATIONALP-EXPT-TYPE-PRESCRIPTION))
 (12 11 (:REWRITE DEFAULT-<-2))
 (12 11 (:REWRITE DEFAULT-<-1))
 (12 7 (:REWRITE DEFAULT-+-2))
 (11 2 (:DEFINITION NFIX))
 (8 4 (:REWRITE ZIP-OPEN))
 (7 7 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NON-ZERO-BASE))
 (7 7 (:REWRITE DEFAULT-+-1))
 (6 6 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (5 3 (:REWRITE DEFAULT-*-2))
 (4 3 (:REWRITE EXPT-WITH-VIOLATED-GUARDS))
 (4 1 (:REWRITE EQUAL-INTEGER-LENGTH-0))
 (3 3 (:REWRITE DEFAULT-*-1))
 (3 1 (:REWRITE COMMUTATIVITY-OF-*))
 (2 2 (:TYPE-PRESCRIPTION LOGMASKP))
 (1 1 (:TYPE-PRESCRIPTION ZIP))
 (1 1 (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT))
 (1 1 (:REWRITE DEFAULT-UNARY-MINUS))
 (1 1 (:REWRITE DEFAULT-NUMERATOR))
 (1 1 (:REWRITE DEFAULT-DENOMINATOR))
 (1 1 (:DEFINITION IFIX))
 )
(FAT32-UPDATE-LOWER-28-CORRECTNESS-2
 (18 18 (:REWRITE AND*-REM-FIRST))
 (6 6 (:REWRITE GL::SHAPE-SPEC-OBJ-IN-RANGE-BACKCHAIN-LIST-OF-G-BOOLEANS))
 (6 6 (:REWRITE GL::SHAPE-SPEC-OBJ-IN-RANGE-BACKCHAIN-INTEGER-2))
 (6 6 (:REWRITE GL::SHAPE-SPEC-OBJ-IN-RANGE-BACKCHAIN-INTEGER-1))
 (6 6 (:REWRITE GL::SHAPE-SPEC-OBJ-IN-RANGE-BACKCHAIN-ATOM))
 (2 2 (:REWRITE GL::SHAPE-SPEC-OBJ-IN-RANGE-OPEN-LIST-OF-G-BOOLEANS))
 (2 2 (:REWRITE GL::SHAPE-SPEC-OBJ-IN-RANGE-OPEN-ATOM))
 )
(FAT32-IS-EOF)
(FAT32-IS-EOF-CORRECTNESS-1)
(FAT32-BUILD-INDEX-LIST
 (46 10 (:DEFINITION NTH))
 (18 15 (:REWRITE DEFAULT-+-2))
 (17 1 (:LINEAR NON-NIL-NTH))
 (15 15 (:REWRITE DEFAULT-+-1))
 (15 3 (:DEFINITION LEN))
 (14 12 (:REWRITE DEFAULT-<-2))
 (13 13 (:REWRITE DEFAULT-CDR))
 (13 12 (:REWRITE DEFAULT-<-1))
 (10 2 (:REWRITE NON-NIL-NTH))
 (7 7 (:REWRITE ZP-OPEN))
 (5 5 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (4 1 (:REWRITE FAT32-IS-EOF-CORRECTNESS-1))
 (3 3 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(FAT32-BUILD-INDEX-LIST-CORRECTNESS-1
 (327 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (310 60 (:DEFINITION NTH))
 (291 4 (:DEFINITION NAT-LISTP))
 (183 8 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (164 27 (:REWRITE NON-NIL-NTH))
 (160 32 (:DEFINITION LEN))
 (152 8 (:DEFINITION NATP))
 (151 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (136 104 (:REWRITE DEFAULT-+-2))
 (120 16 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (112 112 (:REWRITE DEFAULT-CDR))
 (104 104 (:REWRITE DEFAULT-+-1))
 (92 69 (:REWRITE DEFAULT-<-2))
 (88 8 (:DEFINITION INTEGER-LISTP))
 (79 69 (:REWRITE DEFAULT-<-1))
 (78 7 (:LINEAR NON-NIL-NTH))
 (74 62 (:REWRITE ZP-OPEN))
 (56 56 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (45 45 (:REWRITE DEFAULT-CAR))
 (44 11 (:REWRITE FAT32-IS-EOF-CORRECTNESS-1))
 (28 28 (:TYPE-PRESCRIPTION NAT-LISTP))
 (24 24 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (24 6 (:DEFINITION NFIX))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (16 16 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (16 8 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (14 14 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (12 12 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 4 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (6 6 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(FAT32-BUILD-INDEX-LIST-CORRECTNESS-2
 (168 42 (:DEFINITION NTH))
 (74 60 (:REWRITE DEFAULT-+-2))
 (70 14 (:REWRITE NON-NIL-NTH))
 (70 14 (:DEFINITION LEN))
 (66 6 (:LINEAR NON-NIL-NTH))
 (60 60 (:REWRITE DEFAULT-+-1))
 (56 56 (:REWRITE DEFAULT-CDR))
 (52 40 (:REWRITE DEFAULT-<-2))
 (46 40 (:REWRITE DEFAULT-<-1))
 (28 7 (:REWRITE FAT32-IS-EOF-CORRECTNESS-1))
 (13 13 (:REWRITE ZP-OPEN))
 (8 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (8 2 (:DEFINITION NFIX))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(FAT32-BUILD-INDEX-LIST-CORRECTNESS-3
 (162 31 (:DEFINITION NTH))
 (69 57 (:REWRITE DEFAULT-+-2))
 (60 12 (:REWRITE NON-NIL-NTH))
 (60 12 (:DEFINITION LEN))
 (58 47 (:REWRITE DEFAULT-<-1))
 (57 57 (:REWRITE DEFAULT-+-1))
 (57 47 (:REWRITE DEFAULT-<-2))
 (52 13 (:REWRITE FAT32-IS-EOF-CORRECTNESS-1))
 (43 43 (:REWRITE DEFAULT-CDR))
 (42 42 (:REWRITE ZP-OPEN))
 (28 7 (:DEFINITION NFIX))
 (21 7 (:REWRITE COMMUTATIVITY-OF-+))
 (19 19 (:REWRITE DEFAULT-CAR))
 (7 7 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (7 7 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(FAT32-BUILD-INDEX-LIST-CORRECTNESS-4
 (605 126 (:DEFINITION NTH))
 (257 214 (:REWRITE DEFAULT-+-2))
 (233 214 (:REWRITE DEFAULT-CDR))
 (215 43 (:DEFINITION LEN))
 (214 214 (:REWRITE DEFAULT-+-1))
 (207 169 (:REWRITE DEFAULT-<-2))
 (196 169 (:REWRITE DEFAULT-<-1))
 (187 35 (:REWRITE NON-NIL-NTH))
 (164 8 (:LINEAR NON-NIL-NTH))
 (137 35 (:REWRITE FAT32-IS-EOF-CORRECTNESS-1))
 (131 125 (:REWRITE ZP-OPEN))
 (113 94 (:REWRITE DEFAULT-CAR))
 (77 39 (:REWRITE SUBSETP-MEMBER . 1))
 (77 11 (:DEFINITION UPDATE-NTH))
 (69 32 (:REWRITE SUBSETP-MEMBER . 3))
 (67 4 (:DEFINITION SUBSETP-EQUAL))
 (44 44 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (39 39 (:REWRITE SUBSETP-MEMBER . 2))
 (32 32 (:REWRITE SUBSETP-MEMBER . 4))
 (20 20 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (17 17 (:REWRITE DEFAULT-UNARY-MINUS))
 (8 8 (:REWRITE SUBSETP-IS-TRANSITIVE))
 (4 1 (:DEFINITION NATP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(FAT32-BUILD-INDEX-LIST-CORRECTNESS-5
 (76 19 (:DEFINITION NTH))
 (45 39 (:REWRITE DEFAULT-<-1))
 (45 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (44 39 (:REWRITE DEFAULT-<-2))
 (35 35 (:REWRITE DEFAULT-CDR))
 (35 29 (:REWRITE DEFAULT-+-2))
 (33 3 (:DEFINITION INTEGER-LISTP))
 (30 6 (:REWRITE NON-NIL-NTH))
 (30 6 (:DEFINITION LEN))
 (29 29 (:REWRITE DEFAULT-+-1))
 (28 7 (:REWRITE FAT32-IS-EOF-CORRECTNESS-1))
 (21 21 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (17 17 (:REWRITE DEFAULT-CAR))
 (13 13 (:REWRITE ZP-OPEN))
 (8 2 (:DEFINITION NFIX))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 3 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(FIND-N-FREE-CLUSTERS-HELPER
 (513 8 (:DEFINITION ACL2-COUNT))
 (133 48 (:REWRITE DEFAULT-+-2))
 (88 48 (:REWRITE DEFAULT-+-1))
 (70 5 (:DEFINITION LENGTH))
 (64 8 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (64 8 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (58 4 (:DEFINITION RATIONAL-LISTP))
 (58 4 (:DEFINITION INTEGER-LISTP))
 (55 5 (:DEFINITION LEN))
 (50 10 (:REWRITE COMMUTATIVITY-OF-+))
 (50 10 (:DEFINITION INTEGER-ABS))
 (44 29 (:REWRITE DEFAULT-CDR))
 (23 23 (:REWRITE DEFAULT-CAR))
 (17 15 (:REWRITE DEFAULT-<-2))
 (17 15 (:REWRITE DEFAULT-<-1))
 (15 15 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (15 10 (:REWRITE STR::CONSP-OF-EXPLODE))
 (14 14 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (13 13 (:REWRITE FOLD-CONSTS-IN-+))
 (12 6 (:REWRITE RATIONAL-LISTP-OF-CDR-WHEN-RATIONAL-LISTP))
 (12 6 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (10 10 (:REWRITE DEFAULT-UNARY-MINUS))
 (10 5 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (8 8 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (5 5 (:TYPE-PRESCRIPTION LEN))
 (5 5 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (5 5 (:REWRITE DEFAULT-REALPART))
 (5 5 (:REWRITE DEFAULT-NUMERATOR))
 (5 5 (:REWRITE DEFAULT-IMAGPART))
 (5 5 (:REWRITE DEFAULT-DENOMINATOR))
 (4 4 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE MEMBER-OF-FAT32-ENTRY-LIST))
 (1 1 (:LINEAR ACL2-COUNT-OF-CONSP-POSITIVE))
 )
(FIND-N-FREE-CLUSTERS-HELPER-CORRECTNESS-1
 (314 5 (:DEFINITION NAT-LISTP))
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 (146 10 (:DEFINITION INTEGER-LISTP))
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 (82 5 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
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 (40 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (39 2 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (38 4 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (34 1 (:DEFINITION ACL2-NUMBER-LISTP))
 (28 2 (:DEFINITION RATIONAL-LISTP))
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 (20 20 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
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 (16 16 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
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 (10 10 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (10 5 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (8 8 (:REWRITE FOLD-CONSTS-IN-+))
 (4 4 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (4 2 (:REWRITE RATIONAL-LISTP-OF-CDR-WHEN-RATIONAL-LISTP))
 (2 2 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (2 1 (:REWRITE ACL2-NUMBER-LISTP-OF-CDR-WHEN-ACL2-NUMBER-LISTP))
 )
(FIND-N-FREE-CLUSTERS-HELPER-CORRECTNESS-2
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 (80 8 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (68 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (58 4 (:DEFINITION INTEGER-LISTP))
 (49 30 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (42 23 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (42 10 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (36 12 (:REWRITE COMMUTATIVITY-OF-+))
 (30 30 (:REWRITE DEFAULT-+-2))
 (30 30 (:REWRITE DEFAULT-+-1))
 (24 24 (:REWRITE DEFAULT-CDR))
 (24 2 (:DEFINITION MEMBER-EQUAL))
 (23 23 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (22 22 (:REWRITE DEFAULT-CAR))
 (10 10 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (10 10 (:REWRITE DEFAULT-<-2))
 (10 10 (:REWRITE DEFAULT-<-1))
 (10 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CONS))
 (9 9 (:REWRITE ZP-OPEN))
 (8 8 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8 4 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 )
(FIND-N-FREE-CLUSTERS-HELPER-CORRECTNESS-3
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 (139 26 (:REWRITE SUBSETP-MEMBER . 3))
 (128 40 (:REWRITE SUBSETP-MEMBER . 1))
 (42 42 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
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 (40 40 (:REWRITE SUBSETP-MEMBER . 2))
 (38 35 (:REWRITE DEFAULT-CDR))
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 (11 11 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (8 8 (:REWRITE ZP-OPEN))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(FIND-N-FREE-CLUSTERS-HELPER-CORRECTNESS-4
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 (351 40 (:REWRITE SUBSETP-MEMBER . 3))
 (329 78 (:REWRITE SUBSETP-MEMBER . 1))
 (153 144 (:REWRITE DEFAULT-+-2))
 (148 144 (:REWRITE DEFAULT-+-1))
 (132 132 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (109 106 (:REWRITE DEFAULT-CDR))
 (105 102 (:REWRITE DEFAULT-CAR))
 (84 46 (:REWRITE FOLD-CONSTS-IN-+))
 (78 78 (:REWRITE SUBSETP-MEMBER . 2))
 (54 54 (:REWRITE SUBSETP-IS-TRANSITIVE))
 (52 52 (:REWRITE DEFAULT-<-2))
 (52 52 (:REWRITE DEFAULT-<-1))
 (40 40 (:REWRITE SUBSETP-MEMBER . 4))
 (28 28 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (21 21 (:REWRITE DEFAULT-UNARY-MINUS))
 (13 13 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(FIND-N-FREE-CLUSTERS-GUARD-LEMMA-1
 (248 9 (:REWRITE CONSP-OF-NTHCDR))
 (186 17 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (130 34 (:REWRITE DEFAULT-CDR))
 (86 13 (:DEFINITION NTH))
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 (55 55 (:REWRITE DEFAULT-+-1))
 (54 18 (:REWRITE ZP-OPEN))
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 (45 9 (:DEFINITION LEN))
 (39 30 (:REWRITE DEFAULT-<-2))
 (37 9 (:LINEAR NON-NIL-NTH))
 (36 9 (:DEFINITION NFIX))
 (30 30 (:REWRITE DEFAULT-<-1))
 (28 10 (:REWRITE FOLD-CONSTS-IN-+))
 (9 9 (:REWRITE MEMBER-OF-A-NAT-LIST))
 )
(FIND-N-FREE-CLUSTERS
 (3 3 (:TYPE-PRESCRIPTION TRUE-LISTP))
 )
(FIND-N-FREE-CLUSTERS-CORRECTNESS-1
 (243 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (199 4 (:DEFINITION NAT-LISTP))
 (154 18 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (112 8 (:DEFINITION INTEGER-LISTP))
 (66 8 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (56 56 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (46 8 (:DEFINITION NTH))
 (45 9 (:DEFINITION LEN))
 (39 39 (:REWRITE DEFAULT-CDR))
 (32 4 (:REWRITE NON-NIL-NTH))
 (29 20 (:REWRITE DEFAULT-+-2))
 (28 28 (:TYPE-PRESCRIPTION NAT-LISTP))
 (26 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (24 24 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (22 20 (:REWRITE DEFAULT-<-1))
 (20 20 (:REWRITE DEFAULT-CAR))
 (20 20 (:REWRITE DEFAULT-<-2))
 (20 20 (:REWRITE DEFAULT-+-1))
 (20 2 (:LINEAR NON-NIL-NTH))
 (16 16 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (16 8 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (14 7 (:DEFINITION NTHCDR))
 (14 5 (:REWRITE ZP-OPEN))
 (12 12 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (8 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 4 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (5 5 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (3 3 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 )
(FIND-N-FREE-CLUSTERS-CORRECTNESS-2
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 (114 7 (:DEFINITION INTEGER-LISTP))
 (84 12 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (67 5 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (47 11 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (40 2 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (27 6 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (16 16 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (15 15 (:REWRITE DEFAULT-CDR))
 (14 14 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (14 14 (:REWRITE DEFAULT-CAR))
 (12 12 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 1 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (3 3 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 )
(FIND-N-FREE-CLUSTERS-CORRECTNESS-3)
(FIND-N-FREE-CLUSTERS-CORRECTNESS-4
 (363 5 (:DEFINITION NAT-LISTP))
 (160 20 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (156 32 (:REWRITE SUBSETP-MEMBER . 1))
 (108 8 (:DEFINITION SUBSETP-EQUAL))
 (101 10 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (78 5 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (73 5 (:DEFINITION INTEGER-LISTP))
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 (71 5 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (56 28 (:DEFINITION NTHCDR))
 (48 48 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (43 43 (:REWRITE DEFAULT-CAR))
 (40 40 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (38 32 (:REWRITE DEFAULT-+-2))
 (36 24 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (35 35 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (35 5 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
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 (32 32 (:REWRITE DEFAULT-<-2))
 (32 32 (:REWRITE DEFAULT-<-1))
 (32 20 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (24 24 (:REWRITE SUBSETP-MEMBER . 4))
 (24 24 (:REWRITE SUBSETP-MEMBER . 3))
 (20 20 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (16 16 (:REWRITE SUBSETP-IS-TRANSITIVE))
 (10 10 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (10 7 (:REWRITE ZP-OPEN))
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 (8 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (8 8 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (5 5 (:TYPE-PRESCRIPTION TRUE-LISTP))
 )
(FAT32-MASKED-ENTRY-LIST-P-ALT
 (552 14 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (474 10 (:DEFINITION NAT-LISTP))
 (396 33 (:DEFINITION INTEGER-LISTP))
 (210 48 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (204 14 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (128 20 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (84 84 (:REWRITE DEFAULT-CAR))
 (80 19 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (70 70 (:REWRITE DEFAULT-CDR))
 (66 66 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (39 36 (:REWRITE DEFAULT-<-1))
 (36 36 (:REWRITE DEFAULT-<-2))
 (20 20 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (20 20 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (3 3 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 )
(FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS
 (213 2 (:DEFINITION BOUNDED-NAT-LISTP))
 (128 9 (:REWRITE DEFAULT-<-1))
 (120 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (117 6 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (114 12 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (102 3 (:DEFINITION ACL2-NUMBER-LISTP))
 (90 7 (:DEFINITION NTH))
 (84 6 (:DEFINITION RATIONAL-LISTP))
 (79 3 (:REWRITE NON-NIL-NTH))
 (68 9 (:REWRITE DEFAULT-<-2))
 (66 3 (:REWRITE ZP-OPEN))
 (30 6 (:DEFINITION LEN))
 (25 25 (:REWRITE DEFAULT-CDR))
 (20 2 (:LINEAR NON-NIL-NTH))
 (17 11 (:REWRITE DEFAULT-+-2))
 (14 14 (:REWRITE DEFAULT-CAR))
 (12 12 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (12 6 (:REWRITE RATIONAL-LISTP-OF-CDR-WHEN-RATIONAL-LISTP))
 (11 11 (:REWRITE DEFAULT-+-1))
 (9 3 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (7 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (6 3 (:REWRITE ACL2-NUMBER-LISTP-OF-CDR-WHEN-ACL2-NUMBER-LISTP))
 (3 3 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (3 3 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (1 1 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 2))
 )
(LOWER-BOUNDED-INTEGER-LISTP-OF-FIND-N-FREE-CLUSTERS-HELPER
 (316 32 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (230 16 (:DEFINITION INTEGER-LISTP))
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 (72 24 (:REWRITE FOLD-CONSTS-IN-+))
 (71 69 (:REWRITE DEFAULT-CAR))
 (68 67 (:REWRITE DEFAULT-CDR))
 (32 32 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (32 16 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (24 24 (:REWRITE DEFAULT-<-2))
 (24 24 (:REWRITE DEFAULT-<-1))
 (24 12 (:REWRITE ZP-OPEN))
 )
(LOWER-BOUNDED-INTEGER-LISTP-OF-FIND-N-FREE-CLUSTERS
 (311 2 (:REWRITE DEFAULT-<-1))
 (246 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (244 6 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (240 21 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (234 3 (:DEFINITION ACL2-NUMBER-LISTP))
 (207 11 (:DEFINITION RATIONAL-LISTP))
 (75 16 (:REWRITE RATIONAL-LISTP-OF-CDR-WHEN-RATIONAL-LISTP))
 (24 24 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (24 24 (:REWRITE DEFAULT-CAR))
 (21 21 (:REWRITE DEFAULT-CDR))
 (8 4 (:REWRITE ACL2-NUMBER-LISTP-OF-CDR-WHEN-ACL2-NUMBER-LISTP))
 (6 6 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (4 1 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 1 (:DEFINITION NTHCDR))
 (1 1 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 )
(SET-INDICES-IN-FA-TABLE
 (373 59 (:DEFINITION NTH))
 (263 58 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (214 18 (:DEFINITION INTEGER-LISTP))
 (212 24 (:REWRITE NON-NIL-NTH))
 (186 116 (:REWRITE DEFAULT-+-2))
 (173 173 (:REWRITE DEFAULT-CDR))
 (169 37 (:REWRITE ZP-OPEN))
 (116 116 (:REWRITE DEFAULT-+-1))
 (114 66 (:REWRITE DEFAULT-<-2))
 (97 97 (:REWRITE DEFAULT-CAR))
 (77 66 (:REWRITE DEFAULT-<-1))
 (63 22 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (58 58 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (58 58 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (39 39 (:REWRITE SUBSETP-MEMBER . 2))
 (39 39 (:REWRITE SUBSETP-MEMBER . 1))
 (36 36 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (35 35 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (12 12 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (12 1 (:DEFINITION UPDATE-NTH))
 (6 6 (:REWRITE MEMBER-OF-FAT32-ENTRY-LIST))
 (3 3 (:REWRITE CAR-CONS))
 )
(SET-INDICES-IN-FA-TABLE-CORRECTNESS-1
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 (1656 25 (:DEFINITION NAT-LISTP))
 (980 80 (:DEFINITION INTEGER-LISTP))
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 (411 37 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (355 52 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (326 42 (:DEFINITION NTH))
 (316 316 (:REWRITE DEFAULT-CDR))
 (292 112 (:REWRITE DEFAULT-<-1))
 (261 261 (:REWRITE DEFAULT-CAR))
 (245 27 (:REWRITE NON-NIL-NTH))
 (176 40 (:REWRITE ZP-OPEN))
 (160 160 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (148 98 (:REWRITE DEFAULT-+-2))
 (143 16 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (137 112 (:REWRITE DEFAULT-<-2))
 (133 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (129 12 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (124 3 (:DEFINITION ACL2-NUMBER-LISTP))
 (108 9 (:DEFINITION RATIONAL-LISTP))
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 (98 26 (:LINEAR NON-NIL-NTH))
 (91 91 (:REWRITE SUBSETP-MEMBER . 2))
 (91 91 (:REWRITE SUBSETP-MEMBER . 1))
 (90 15 (:REWRITE RATIONAL-LISTP-OF-CDR-WHEN-RATIONAL-LISTP))
 (74 5 (:REWRITE ACL2-NUMBER-LISTP-OF-CDR-WHEN-ACL2-NUMBER-LISTP))
 (52 52 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (51 51 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (46 4 (:DEFINITION UPDATE-NTH))
 (42 17 (:REWRITE FAT32-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (18 18 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (8 4 (:TYPE-PRESCRIPTION MAX))
 (6 6 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION NATP))
 )
(SET-INDICES-IN-FA-TABLE-CORRECTNESS-2
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 (394 8 (:DEFINITION NAT-LISTP))
 (354 45 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (290 23 (:DEFINITION INTEGER-LISTP))
 (209 21 (:DEFINITION NTH))
 (151 16 (:LINEAR NON-NIL-NTH))
 (121 91 (:REWRITE DEFAULT-CDR))
 (89 14 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (82 49 (:REWRITE DEFAULT-+-2))
 (79 30 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (63 7 (:REWRITE NON-NIL-NTH))
 (60 15 (:REWRITE ZP-OPEN))
 (58 58 (:REWRITE DEFAULT-CAR))
 (49 49 (:REWRITE DEFAULT-+-1))
 (46 46 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (44 39 (:REWRITE DEFAULT-<-2))
 (39 39 (:REWRITE DEFAULT-<-1))
 (33 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (22 22 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (20 2 (:DEFINITION UPDATE-NTH))
 (16 16 (:REWRITE MEMBER-OF-A-NAT-LIST))
 (14 14 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (14 14 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (14 7 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 )
(SET-INDICES-IN-FA-TABLE-CORRECTNESS-3
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 (92 26 (:REWRITE ZP-OPEN))
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 (48 24 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (47 41 (:REWRITE DEFAULT-<-1))
 (42 34 (:REWRITE DEFAULT-+-2))
 (40 8 (:DEFINITION LEN))
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 (36 3 (:DEFINITION UPDATE-NTH))
 (34 34 (:REWRITE DEFAULT-+-1))
 (32 12 (:REWRITE SUBSETP-MEMBER . 1))
 (20 2 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
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 (17 16 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
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 (9 9 (:REWRITE SUBSETP-MEMBER . 3))
 (8 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (5 5 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2 2 (:REWRITE SUBSETP-IS-TRANSITIVE))
 )
(SET-INDICES-IN-FA-TABLE-CORRECTNESS-4
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 (121 121 (:REWRITE DEFAULT-+-1))
 (116 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (115 8 (:LINEAR NON-NIL-NTH))
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 (60 12 (:REWRITE RATIONAL-LISTP-OF-CDR-WHEN-RATIONAL-LISTP))
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 (8 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (7 7 (:TYPE-PRESCRIPTION NATP))
 (5 5 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2 2 (:REWRITE SUBSETP-IS-TRANSITIVE))
 )
