(RETURNS-P
 (396 12 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (360 12 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (250 18 (:REWRITE LAMBDA-OF-PSEUDO-LAMBDAP))
 (124 4 (:REWRITE PSEUDO-LAMBDAP-OF-FN-CALL-OF-PSEUDO-TERMP))
 (122 18 (:REWRITE DEFAULT-CAR))
 (106 14 (:REWRITE PSEUDO-TERMP-OPENER))
 (86 34 (:REWRITE IMPLIES-OF-IS-CONJUNCT?))
 (84 10 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (52 52 (:TYPE-PRESCRIPTION IS-CONJUNCT?))
 (52 52 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-OF-TERM))
 (48 6 (:REWRITE CONSP-OF-IS-CONJUNCT?))
 (40 40 (:TYPE-PRESCRIPTION PSEUDO-LAMBDAP))
 (40 40 (:REWRITE PSEUDO-LAMBDAP-WHEN-MEMBER-EQUAL-OF-PSEUDO-LAMBDA-LISTP))
 (40 40 (:REWRITE IMPLIES-OF-IS-CONJUNCT-LIST?))
 (40 10 (:REWRITE O-P-O-INFP-CAR))
 (38 38 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-P))
 (34 34 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 2))
 (34 34 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 1))
 (34 34 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 2))
 (34 34 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 1))
 (34 34 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (34 34 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (34 34 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 2))
 (34 34 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 1))
 (34 34 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 2))
 (34 34 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 1))
 (34 34 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 2))
 (34 34 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 1))
 (34 34 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 2))
 (34 34 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 1))
 (34 34 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 2))
 (34 34 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 1))
 (32 4 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-TERMP))
 (30 6 (:REWRITE CONSP-OF-CDR-OF-PSEUDO-LAMBDAP))
 (24 24 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (24 4 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-LAMBDA-LISTP))
 (20 4 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (14 14 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (14 14 (:REWRITE PSEUDO-TERMP-OF-SINGLE-VAR-FNCALL-OF-TERM))
 (14 14 (:REWRITE PSEUDO-TERMP-OF-JUDGEMENT-OF-TERM))
 (10 10 (:REWRITE O-P-DEF-O-FINP-1))
 (8 8 (:TYPE-PRESCRIPTION PSEUDO-LAMBDA-LISTP))
 (8 8 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P))
 (8 8 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP))
 (8 8 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P))
 (8 8 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P))
 (8 8 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P))
 (8 8 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P))
 (8 8 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-SUBSETP-EQUAL))
 (8 4 (:REWRITE SYMBOLP-OF-FN-CALL-OF-PSEUDO-TERMP))
 (4 4 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FN-CHECK-DEF-FORMALS))
 )
(CONSP-WHEN-RETURNS-P)
(RETURNS-FIX$INLINE
 (12 12 (:TYPE-PRESCRIPTION PSEUDO-TERM-FIX))
 )
(RETURNS-P-OF-RETURNS-FIX
 (30 14 (:REWRITE EQUAL-FIXED-AND-X-OF-PSEUDO-TERMP))
 (16 16 (:TYPE-PRESCRIPTION PSEUDO-TERMP))
 (12 4 (:REWRITE SYMBOL-LIST-FIX-WHEN-SYMBOL-LISTP))
 (8 8 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 (2 2 (:TYPE-PRESCRIPTION PSEUDO-TERM-FIX))
 )
(RETURNS-FIX-WHEN-RETURNS-P
 (5 2 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (1 1 (:DEFINITION STRIP-CARS))
 (1 1 (:DEFINITION ALISTP))
 )
(RETURNS-FIX$INLINE
 (12 12 (:TYPE-PRESCRIPTION PSEUDO-TERM-FIX))
 (5 2 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (1 1 (:DEFINITION STRIP-CARS))
 (1 1 (:DEFINITION ALISTP))
 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT)
(RETURNS-EQUIV$INLINE)
(RETURNS-EQUIV-IS-AN-EQUIVALENCE)
(RETURNS-EQUIV-IMPLIES-EQUAL-RETURNS-FIX-1)
(RETURNS-FIX-UNDER-RETURNS-EQUIV)
(EQUAL-OF-RETURNS-FIX-1-FORWARD-TO-RETURNS-EQUIV)
(EQUAL-OF-RETURNS-FIX-2-FORWARD-TO-RETURNS-EQUIV)
(RETURNS-EQUIV-OF-RETURNS-FIX-1-FORWARD)
(RETURNS-EQUIV-OF-RETURNS-FIX-2-FORWARD)
(RETURNS->FORMALS$INLINE
 (4 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (1 1 (:DEFINITION STRIP-CARS))
 )
(SYMBOL-LISTP-OF-RETURNS->FORMALS)
(RETURNS->FORMALS$INLINE-OF-RETURNS-FIX-X
 (9 3 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (6 6 (:TYPE-PRESCRIPTION RETURNS-P))
 (6 2 (:REWRITE EQUAL-FIXED-AND-X-OF-PSEUDO-TERMP))
 (4 4 (:TYPE-PRESCRIPTION PSEUDO-TERMP))
 )
(RETURNS->FORMALS$INLINE-RETURNS-EQUIV-CONGRUENCE-ON-X)
(RETURNS->RETURNS-THM$INLINE
 (11 11 (:TYPE-PRESCRIPTION PSEUDO-TERM-FIX))
 (4 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(PSEUDO-TERMP-OF-RETURNS->RETURNS-THM)
(RETURNS->RETURNS-THM$INLINE-OF-RETURNS-FIX-X
 (69 46 (:TYPE-PRESCRIPTION PSEUDO-TERM-FIX))
 (23 23 (:TYPE-PRESCRIPTION RETURNS-FIX$INLINE))
 (9 3 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (6 6 (:TYPE-PRESCRIPTION RETURNS-P))
 (3 1 (:REWRITE SYMBOL-LIST-FIX-WHEN-SYMBOL-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 )
(RETURNS->RETURNS-THM$INLINE-RETURNS-EQUIV-CONGRUENCE-ON-X)
(RETURNS->REPLACE-THM$INLINE
 (4 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(PSEUDO-TERMP-OF-RETURNS->REPLACE-THM)
(RETURNS->REPLACE-THM$INLINE-OF-RETURNS-FIX-X
 (69 46 (:TYPE-PRESCRIPTION PSEUDO-TERM-FIX))
 (23 23 (:TYPE-PRESCRIPTION RETURNS-FIX$INLINE))
 (9 3 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (6 6 (:TYPE-PRESCRIPTION RETURNS-P))
 (3 1 (:REWRITE SYMBOL-LIST-FIX-WHEN-SYMBOL-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 )
(RETURNS->REPLACE-THM$INLINE-RETURNS-EQUIV-CONGRUENCE-ON-X)
(RETURNS)
(RETURNS-P-OF-RETURNS
 (24 12 (:REWRITE EQUAL-FIXED-AND-X-OF-PSEUDO-TERMP))
 (10 4 (:REWRITE SYMBOL-LIST-FIX-WHEN-SYMBOL-LISTP))
 (2 2 (:TYPE-PRESCRIPTION PSEUDO-TERM-FIX))
 )
(RETURNS->FORMALS-OF-RETURNS)
(RETURNS->RETURNS-THM-OF-RETURNS
 (81 63 (:TYPE-PRESCRIPTION PSEUDO-TERM-FIX))
 (18 18 (:TYPE-PRESCRIPTION RETURNS))
 )
(RETURNS->REPLACE-THM-OF-RETURNS
 (81 63 (:TYPE-PRESCRIPTION PSEUDO-TERM-FIX))
 (18 18 (:TYPE-PRESCRIPTION RETURNS))
 )
(RETURNS-OF-FIELDS
 (3 1 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (2 2 (:TYPE-PRESCRIPTION RETURNS-P))
 )
(RETURNS-FIX-WHEN-RETURNS
 (3 1 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (2 2 (:TYPE-PRESCRIPTION RETURNS-P))
 )
(EQUAL-OF-RETURNS
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (1 1 (:REWRITE FTY::EQUAL-OF-CONS-BY-EQUAL-OF-STRIP-CARS))
 )
(RETURNS-OF-SYMBOL-LIST-FIX-FORMALS
 (8 4 (:REWRITE EQUAL-FIXED-AND-X-OF-PSEUDO-TERMP))
 (4 4 (:TYPE-PRESCRIPTION PSEUDO-TERMP))
 )
(RETURNS-SYMBOL-LIST-EQUIV-CONGRUENCE-ON-FORMALS)
(RETURNS-OF-PSEUDO-TERM-FIX-RETURNS-THM
 (4 2 (:REWRITE SYMBOL-LIST-FIX-WHEN-SYMBOL-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 )
(RETURNS-PSEUDO-TERM-EQUIV-CONGRUENCE-ON-RETURNS-THM)
(RETURNS-OF-PSEUDO-TERM-FIX-REPLACE-THM
 (4 2 (:REWRITE SYMBOL-LIST-FIX-WHEN-SYMBOL-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SYMBOL-LISTP))
 )
(RETURNS-PSEUDO-TERM-EQUIV-CONGRUENCE-ON-REPLACE-THM)
(RETURNS-FIX-REDEF)
(RETURNS-LIST-P)
(STD::DEFLIST-LOCAL-BOOLEANP-ELEMENT-THM)
(RETURNS-LIST-P-OF-CONS)
(RETURNS-LIST-P-OF-CDR-WHEN-RETURNS-LIST-P)
(RETURNS-LIST-P-WHEN-NOT-CONSP)
(RETURNS-P-OF-CAR-WHEN-RETURNS-LIST-P)
(TRUE-LISTP-WHEN-RETURNS-LIST-P-COMPOUND-RECOGNIZER)
(RETURNS-LIST-P-OF-LIST-FIX)
(RETURNS-LIST-P-OF-SFIX)
(RETURNS-LIST-P-OF-INSERT)
(RETURNS-LIST-P-OF-DELETE)
(RETURNS-LIST-P-OF-MERGESORT)
(RETURNS-LIST-P-OF-UNION)
(RETURNS-LIST-P-OF-INTERSECT-1)
(RETURNS-LIST-P-OF-INTERSECT-2)
(RETURNS-LIST-P-OF-DIFFERENCE)
(RETURNS-LIST-P-OF-DUPLICATED-MEMBERS)
(RETURNS-LIST-P-OF-REV)
(RETURNS-LIST-P-OF-APPEND)
(RETURNS-LIST-P-OF-RCONS)
(RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P)
(RETURNS-LIST-P-WHEN-SUBSETP-EQUAL)
(RETURNS-LIST-P-OF-SET-DIFFERENCE-EQUAL)
(RETURNS-LIST-P-OF-INTERSECTION-EQUAL-1)
(RETURNS-LIST-P-OF-INTERSECTION-EQUAL-2)
(RETURNS-LIST-P-OF-UNION-EQUAL)
(RETURNS-LIST-P-OF-TAKE)
(RETURNS-LIST-P-OF-REPEAT)
(RETURNS-P-OF-NTH-WHEN-RETURNS-LIST-P)
(RETURNS-LIST-P-OF-UPDATE-NTH)
(RETURNS-LIST-P-OF-BUTLAST)
(RETURNS-LIST-P-OF-NTHCDR)
(RETURNS-LIST-P-OF-LAST)
(RETURNS-LIST-P-OF-REMOVE)
(RETURNS-LIST-P-OF-REVAPPEND)
(RETURNS-LIST-FIX$INLINE)
(RETURNS-LIST-P-OF-RETURNS-LIST-FIX
 (30 1 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (22 2 (:REWRITE RETURNS-P-OF-CAR-WHEN-RETURNS-LIST-P))
 (18 10 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (15 1 (:DEFINITION RETURNS-LIST-P))
 (12 6 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 (12 5 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 (8 8 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (4 4 (:TYPE-PRESCRIPTION RETURNS-P))
 (4 4 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2 2 (:REWRITE FTY::OPEN-MEMBER-EQUAL-ON-LIST-OF-TAGS))
 (2 1 (:REWRITE RETURNS-LIST-P-OF-CDR-WHEN-RETURNS-LIST-P))
 )
(RETURNS-LIST-FIX-WHEN-RETURNS-LIST-P
 (32 4 (:REWRITE RETURNS-LIST-P-OF-CDR-WHEN-RETURNS-LIST-P))
 (28 24 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (13 3 (:REWRITE RETURNS-P-OF-CAR-WHEN-RETURNS-LIST-P))
 (9 6 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1 1 (:REWRITE FTY::OPEN-MEMBER-EQUAL-ON-LIST-OF-TAGS))
 )
(RETURNS-LIST-FIX$INLINE
 (8 8 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 1 (:REWRITE RETURNS-P-OF-CAR-WHEN-RETURNS-LIST-P))
 (6 1 (:REWRITE RETURNS-LIST-P-OF-CDR-WHEN-RETURNS-LIST-P))
 (4 4 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT
 (2 2 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 )
(RETURNS-LIST-EQUIV$INLINE)
(RETURNS-LIST-EQUIV-IS-AN-EQUIVALENCE)
(RETURNS-LIST-EQUIV-IMPLIES-EQUAL-RETURNS-LIST-FIX-1)
(RETURNS-LIST-FIX-UNDER-RETURNS-LIST-EQUIV)
(EQUAL-OF-RETURNS-LIST-FIX-1-FORWARD-TO-RETURNS-LIST-EQUIV)
(EQUAL-OF-RETURNS-LIST-FIX-2-FORWARD-TO-RETURNS-LIST-EQUIV)
(RETURNS-LIST-EQUIV-OF-RETURNS-LIST-FIX-1-FORWARD)
(RETURNS-LIST-EQUIV-OF-RETURNS-LIST-FIX-2-FORWARD)
(CAR-OF-RETURNS-LIST-FIX-X-UNDER-RETURNS-EQUIV
 (33 3 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (18 3 (:REWRITE RETURNS-P-OF-CAR-WHEN-RETURNS-LIST-P))
 (18 2 (:REWRITE RETURNS-LIST-FIX-WHEN-RETURNS-LIST-P))
 (12 12 (:TYPE-PRESCRIPTION RETURNS-LIST-P))
 (12 12 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION RETURNS-P))
 (6 6 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 (6 6 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 (6 1 (:REWRITE RETURNS-LIST-P-OF-CDR-WHEN-RETURNS-LIST-P))
 (3 3 (:TYPE-PRESCRIPTION RETURNS-LIST-FIX$INLINE))
 )
(CAR-RETURNS-LIST-EQUIV-CONGRUENCE-ON-X-UNDER-RETURNS-EQUIV)
(CDR-OF-RETURNS-LIST-FIX-X-UNDER-RETURNS-LIST-EQUIV
 (41 3 (:REWRITE RETURNS-LIST-P-OF-CDR-WHEN-RETURNS-LIST-P))
 (22 2 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (20 20 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (12 2 (:REWRITE RETURNS-P-OF-CAR-WHEN-RETURNS-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION RETURNS-P))
 (4 4 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 )
(CDR-RETURNS-LIST-EQUIV-CONGRUENCE-ON-X-UNDER-RETURNS-LIST-EQUIV)
(CONS-OF-RETURNS-FIX-X-UNDER-RETURNS-LIST-EQUIV
 (34 4 (:REWRITE RETURNS-LIST-FIX-WHEN-RETURNS-LIST-P))
 (17 2 (:REWRITE RETURNS-LIST-P-OF-CONS))
 (10 10 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 (6 6 (:TYPE-PRESCRIPTION RETURNS-LIST-P))
 (5 5 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 )
(CONS-RETURNS-EQUIV-CONGRUENCE-ON-X-UNDER-RETURNS-LIST-EQUIV)
(CONS-OF-RETURNS-LIST-FIX-Y-UNDER-RETURNS-LIST-EQUIV
 (20 2 (:REWRITE RETURNS-LIST-P-OF-CONS))
 (8 8 (:TYPE-PRESCRIPTION RETURNS-P))
 (8 8 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 (8 8 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 2 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (5 4 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 )
(CONS-RETURNS-LIST-EQUIV-CONGRUENCE-ON-Y-UNDER-RETURNS-LIST-EQUIV)
(CONSP-OF-RETURNS-LIST-FIX
 (18 2 (:REWRITE RETURNS-LIST-FIX-WHEN-RETURNS-LIST-P))
 (11 1 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (8 8 (:TYPE-PRESCRIPTION RETURNS-LIST-P))
 (8 8 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 1 (:REWRITE RETURNS-P-OF-CAR-WHEN-RETURNS-LIST-P))
 (6 1 (:REWRITE RETURNS-LIST-P-OF-CDR-WHEN-RETURNS-LIST-P))
 (4 4 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION RETURNS-P))
 (2 2 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 )
(RETURNS-LIST-FIX-UNDER-IFF
 (18 2 (:REWRITE RETURNS-LIST-FIX-WHEN-RETURNS-LIST-P))
 (11 1 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (8 8 (:TYPE-PRESCRIPTION RETURNS-LIST-P))
 (8 8 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 1 (:REWRITE RETURNS-P-OF-CAR-WHEN-RETURNS-LIST-P))
 (6 1 (:REWRITE RETURNS-LIST-P-OF-CDR-WHEN-RETURNS-LIST-P))
 (4 4 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION RETURNS-P))
 (2 2 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 )
(RETURNS-LIST-FIX-OF-CONS
 (21 3 (:REWRITE RETURNS-LIST-FIX-WHEN-RETURNS-LIST-P))
 (9 1 (:REWRITE RETURNS-LIST-P-OF-CONS))
 (6 6 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 2 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (4 4 (:TYPE-PRESCRIPTION RETURNS-P))
 (4 4 (:TYPE-PRESCRIPTION RETURNS-LIST-P))
 (4 4 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 (3 3 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 )
(LEN-OF-RETURNS-LIST-FIX
 (35 4 (:REWRITE RETURNS-LIST-FIX-WHEN-RETURNS-LIST-P))
 (14 14 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (13 13 (:TYPE-PRESCRIPTION RETURNS-LIST-P))
 (12 2 (:REWRITE RETURNS-LIST-P-OF-CDR-WHEN-RETURNS-LIST-P))
 (11 1 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (7 7 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 (6 1 (:REWRITE RETURNS-P-OF-CAR-WHEN-RETURNS-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION RETURNS-P))
 (2 2 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 (1 1 (:REWRITE FTY::EQUAL-OF-LEN))
 )
(RETURNS-LIST-FIX-OF-APPEND
 (114 10 (:REWRITE RETURNS-LIST-FIX-WHEN-RETURNS-LIST-P))
 (58 2 (:REWRITE RETURNS-LIST-P-OF-APPEND))
 (40 36 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (29 29 (:TYPE-PRESCRIPTION RETURNS-LIST-P))
 (24 2 (:REWRITE RETURNS-LIST-P-OF-LIST-FIX))
 (22 16 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 (14 4 (:REWRITE RETURNS-LIST-P-OF-CDR-WHEN-RETURNS-LIST-P))
 (12 12 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (12 2 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (6 1 (:REWRITE RETURNS-P-OF-CAR-WHEN-RETURNS-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION RETURNS-P))
 (2 2 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 )
(RETURNS-LIST-FIX-OF-REPEAT
 (20 2 (:REWRITE RETURNS-LIST-FIX-WHEN-RETURNS-LIST-P))
 (16 4 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (12 2 (:REWRITE RETURNS-LIST-P-OF-REPEAT))
 (10 10 (:TYPE-PRESCRIPTION RETURNS-P))
 (10 10 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION RETURNS-LIST-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT RETURNS-LIST-FIX-UNDER-RETURNS-LIST-EQUIV))
 )
(LIST-EQUIV-REFINES-RETURNS-LIST-EQUIV
 (146 14 (:REWRITE RETURNS-LIST-FIX-WHEN-RETURNS-LIST-P))
 (112 8 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (88 18 (:REWRITE RETURNS-LIST-P-OF-CDR-WHEN-RETURNS-LIST-P))
 (72 72 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (72 8 (:REWRITE RETURNS-P-OF-CAR-WHEN-RETURNS-LIST-P))
 (70 70 (:TYPE-PRESCRIPTION RETURNS-LIST-P))
 (36 36 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION RETURNS-P))
 (16 16 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(NTH-OF-RETURNS-LIST-FIX
 (253 25 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (166 23 (:REWRITE RETURNS-LIST-FIX-WHEN-RETURNS-LIST-P))
 (98 98 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (93 93 (:TYPE-PRESCRIPTION RETURNS-LIST-P))
 (80 15 (:REWRITE RETURNS-LIST-P-OF-CDR-WHEN-RETURNS-LIST-P))
 (74 7 (:REWRITE RETURNS-P-OF-NTH-WHEN-RETURNS-LIST-P))
 (54 9 (:REWRITE RETURNS-P-OF-CAR-WHEN-RETURNS-LIST-P))
 (50 50 (:TYPE-PRESCRIPTION RETURNS-P))
 (50 50 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 (49 49 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 (6 2 (:REWRITE IMPLIES-OF-IS-CONJUNCT?))
 (4 4 (:TYPE-PRESCRIPTION IS-CONJUNCT?))
 (2 1 (:REWRITE O-INFP->NEQ-0))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(RETURNS-LIST-EQUIV-IMPLIES-RETURNS-LIST-EQUIV-APPEND-1
 (269 32 (:REWRITE RETURNS-LIST-FIX-WHEN-RETURNS-LIST-P))
 (205 17 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (128 128 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (126 126 (:TYPE-PRESCRIPTION RETURNS-LIST-P))
 (120 17 (:REWRITE RETURNS-P-OF-CAR-WHEN-RETURNS-LIST-P))
 (117 22 (:REWRITE RETURNS-LIST-P-OF-CDR-WHEN-RETURNS-LIST-P))
 (64 64 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 (34 34 (:TYPE-PRESCRIPTION RETURNS-P))
 (34 34 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(RETURNS-LIST-EQUIV-IMPLIES-RETURNS-LIST-EQUIV-APPEND-2
 (393 46 (:REWRITE RETURNS-LIST-FIX-WHEN-RETURNS-LIST-P))
 (322 26 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (204 39 (:REWRITE RETURNS-LIST-P-OF-CDR-WHEN-RETURNS-LIST-P))
 (192 26 (:REWRITE RETURNS-P-OF-CAR-WHEN-RETURNS-LIST-P))
 (190 190 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (189 189 (:TYPE-PRESCRIPTION RETURNS-LIST-P))
 (95 95 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 (52 52 (:TYPE-PRESCRIPTION RETURNS-P))
 (52 52 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 (4 4 (:REWRITE CONSP-OF-RETURNS-LIST-FIX))
 )
(RETURNS-LIST-EQUIV-IMPLIES-RETURNS-LIST-EQUIV-NTHCDR-2
 (298 20 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (208 39 (:REWRITE RETURNS-LIST-P-OF-CDR-WHEN-RETURNS-LIST-P))
 (198 198 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (198 20 (:REWRITE RETURNS-P-OF-CAR-WHEN-RETURNS-LIST-P))
 (40 40 (:TYPE-PRESCRIPTION RETURNS-P))
 (40 40 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 )
(RETURNS-LIST-EQUIV-IMPLIES-RETURNS-LIST-EQUIV-TAKE-2
 (553 38 (:REWRITE RETURNS-LIST-FIX-WHEN-RETURNS-LIST-P))
 (432 28 (:REWRITE RETURNS-FIX-WHEN-RETURNS-P))
 (304 51 (:REWRITE RETURNS-LIST-P-OF-CDR-WHEN-RETURNS-LIST-P))
 (296 26 (:REWRITE RETURNS-P-OF-CAR-WHEN-RETURNS-LIST-P))
 (236 236 (:TYPE-PRESCRIPTION RETURNS-LIST-P))
 (236 236 (:REWRITE RETURNS-LIST-P-WHEN-SUBSETP-EQUAL))
 (229 24 (:REWRITE RETURNS-LIST-P-OF-TAKE))
 (136 118 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 (66 66 (:TYPE-PRESCRIPTION RETURNS-P))
 (66 66 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 (18 18 (:TYPE-PRESCRIPTION NFIX))
 (12 12 (:TYPE-PRESCRIPTION LEN))
 (6 6 (:REWRITE-QUOTED-CONSTANT RETURNS-LIST-FIX-UNDER-RETURNS-LIST-EQUIV))
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(CONSTRUCT-RETURNS-JUDGEMENT
 (73950 531 (:REWRITE CONSP-OF-IS-CONJUNCT?))
 (71498 480 (:REWRITE PSEUDO-TERMP-OPENER))
 (45345 1597 (:REWRITE DEFAULT-CDR))
 (35730 183 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (16395 215 (:DEFINITION MEMBER-EQUAL))
 (13966 366 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P))
 (12899 151 (:DEFINITION SYMBOL-LIST-LISTP))
 (11730 175 (:REWRITE SYMBOLP-OF-FN-CALL-OF-PSEUDO-TERMP))
 (10999 527 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (10708 302 (:REWRITE SYMBOL-LISTP-OF-CAR-WHEN-SYMBOL-LIST-LISTP))
 (9664 216 (:REWRITE SUBSETP-CAR-MEMBER))
 (9573 175 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (9503 290 (:REWRITE SYMBOL-LIST-LISTP-WHEN-NOT-CONSP))
 (9416 202 (:REWRITE ASSOC-EQUAL-OF-TYPE-TO-TYPES-ALIST))
 (8750 350 (:DEFINITION NTH))
 (8323 1304 (:REWRITE DEFAULT-CAR))
 (7552 51 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-LAMBDA-LISTP))
 (7183 49 (:REWRITE PSEUDO-LAMBDA-LISTP-OF-CDR-WHEN-PSEUDO-LAMBDA-LISTP))
 (5622 2574 (:REWRITE IMPLIES-OF-IS-CONJUNCT?))
 (5100 350 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P))
 (5098 38 (:REWRITE PSEUDO-TERMP-CDR-ASSOC-EQUAL))
 (5063 2532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 1))
 (4690 681 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (4194 342 (:REWRITE NIL-OF-ASSOC-EQUAL-OF-PSEUDO-TERM-ALISTP))
 (4144 527 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (4080 16 (:REWRITE SYMBOL-LISTP-CDR-ASSOC-EQUAL))
 (3874 202 (:REWRITE ASSOC-EQUAL-OF-ALIST-INFO-P))
 (3842 202 (:REWRITE ASSOC-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST))
 (3842 202 (:REWRITE ARG-DECL-P-OF-ASSOC-EQUAL-FROM-FUNCTION-DESCRIPTION-ALIST-P))
 (3714 3714 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (3707 159 (:REWRITE PSEUDO-TERM-ALISTP-WHEN-NOT-CONSP))
 (3427 273 (:REWRITE TYPE-TO-TYPES-ALIST-P-WHEN-NOT-CONSP))
 (3240 3240 (:TYPE-PRESCRIPTION IS-CONJUNCT?))
 (3225 178 (:REWRITE ALIST-INFO-P-WHEN-NOT-CONSP))
 (3201 3201 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-OF-TERM))
 (3193 178 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-WHEN-NOT-CONSP))
 (3103 3103 (:REWRITE IMPLIES-OF-IS-CONJUNCT-LIST?))
 (3080 140 (:REWRITE TYPE-TUPLE-TO-THM-ALIST-P-WHEN-NOT-CONSP))
 (2753 260 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-OF-PSEUDO-TERMP))
 (2747 2747 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-P))
 (2621 118 (:REWRITE SYMBOL-LISTP-OF-CDAR-WHEN-TYPE-TO-TYPES-ALIST-P))
 (2532 2532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 2))
 (2532 2532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 1))
 (2532 2532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 2))
 (2532 2532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 2))
 (2532 2532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 1))
 (2532 2532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 2))
 (2532 2532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 1))
 (2532 2532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 2))
 (2532 2532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 1))
 (2532 2532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 2))
 (2532 2532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 1))
 (2532 2532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 2))
 (2532 2532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 1))
 (2383 63 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (2315 2315 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (2315 2315 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (2308 2308 (:REWRITE PSEUDO-LAMBDAP-WHEN-MEMBER-EQUAL-OF-PSEUDO-LAMBDA-LISTP))
 (2092 24 (:DEFINITION STRIP-CDRS))
 (1977 154 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-NOT-CONSP))
 (1676 157 (:REWRITE SYMBOL-LIST-LISTP-OF-CDR-WHEN-SYMBOL-LIST-LISTP))
 (1640 72 (:REWRITE PSEUDO-LAMBDAP-OF-NTH-WHEN-PSEUDO-LAMBDA-LISTP))
 (1288 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-TYPE-TO-TYPES-ALIST-P))
 (1049 21 (:REWRITE TYPE-TO-TYPES-ALIST-P-OF-CDR-WHEN-TYPE-TO-TYPES-ALIST-P))
 (976 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-SYMBOL-SYMBOL-ALISTP))
 (852 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-FUNCTION-DESCRIPTION-ALIST-P))
 (852 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ARG-CHECK-P))
 (852 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ALIST-INFO-P))
 (852 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ALIST-ARRAY-MAP-P))
 (823 21 (:REWRITE SYMBOL-SYMBOL-ALISTP-OF-CDR-WHEN-SYMBOL-SYMBOL-ALISTP))
 (709 19 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-OF-CDR-WHEN-FUNCTION-DESCRIPTION-ALIST-P))
 (709 19 (:REWRITE ARG-CHECK-P-OF-CDR-WHEN-ARG-CHECK-P))
 (709 19 (:REWRITE ALIST-INFO-P-OF-CDR-WHEN-ALIST-INFO-P))
 (709 19 (:REWRITE ALIST-ARRAY-MAP-P-OF-CDR-WHEN-ALIST-ARRAY-MAP-P))
 (681 681 (:REWRITE FN-CHECK-DEF-FORMALS))
 (636 231 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-PSEUDO-TERMP-IF))
 (626 228 (:REWRITE PSEUDO-TERM-LISTP-CDR))
 (588 21 (:REWRITE PSEUDO-TERMP-OF-CDAR-WHEN-PSEUDO-TERM-ALISTP))
 (548 125 (:REWRITE O-P-O-INFP-CAR))
 (538 538 (:REWRITE SUBSETP-MEMBER . 2))
 (538 538 (:REWRITE SUBSETP-MEMBER . 1))
 (530 530 (:REWRITE SUBSETP-TRANS2))
 (530 530 (:REWRITE SUBSETP-TRANS))
 (517 3 (:REWRITE PSEUDO-TERM-ALISTP-OF-CDR-WHEN-PSEUDO-TERM-ALISTP))
 (494 494 (:REWRITE PSEUDO-TERMP-OF-SINGLE-VAR-FNCALL-OF-TERM))
 (494 494 (:REWRITE PSEUDO-TERMP-OF-JUDGEMENT-OF-TERM))
 (424 51 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-TERMP))
 (422 422 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (389 373 (:REWRITE PSEUDO-TERM-LISTP-OF-ATOM))
 (373 373 (:REWRITE TERM-LISTP-IMPLIES-PSEUDO-TERM-LISTP))
 (356 356 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-WHEN-SUBSETP-EQUAL))
 (356 356 (:REWRITE ALIST-INFO-P-WHEN-SUBSETP-EQUAL))
 (350 350 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP))
 (350 350 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P))
 (350 350 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P))
 (350 350 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P))
 (350 350 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P))
 (318 318 (:REWRITE PSEUDO-TERM-ALISTP-WHEN-SUBSETP-EQUAL))
 (308 308 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-SUBSETP-EQUAL))
 (280 280 (:REWRITE TYPE-TUPLE-TO-THM-ALIST-P-WHEN-SUBSETP-EQUAL))
 (252 3 (:DEFINITION PAIRLIS$))
 (234 234 (:REWRITE PSEUDO-TERMP-OF-CAR-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP))
 (226 226 (:REWRITE PSEUDO-TERMP-OF-CDR-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP))
 (173 125 (:REWRITE O-P-DEF-O-FINP-1))
 (167 42 (:REWRITE SYMBOL-SYMBOL-ALISTP-WHEN-NOT-CONSP))
 (152 152 (:TYPE-PRESCRIPTION STRIP-CDRS))
 (113 38 (:REWRITE ARG-CHECK-P-WHEN-NOT-CONSP))
 (113 38 (:REWRITE ALIST-ARRAY-MAP-P-WHEN-NOT-CONSP))
 (108 108 (:REWRITE MEMBER-SELF))
 (86 38 (:REWRITE PSEUDO-TERMP-OF-LOOKUP-IN-SUBST))
 (86 38 (:REWRITE PSEUDO-TERMP-OF-LOOKUP-IN-PSEUDO-TERM-VAL-ALISTP))
 (84 84 (:REWRITE SYMBOL-SYMBOL-ALISTP-WHEN-SUBSETP-EQUAL))
 (76 76 (:REWRITE ARG-CHECK-P-WHEN-SUBSETP-EQUAL))
 (76 76 (:REWRITE ALIST-ARRAY-MAP-P-WHEN-SUBSETP-EQUAL))
 (65 1 (:REWRITE PSEUDO-TERMP-OF-CAAR-WHEN-PSEUDO-TERM-ALISTP))
 (48 48 (:TYPE-PRESCRIPTION O-FINP))
 (32 32 (:TYPE-PRESCRIPTION PSEUDO-TERM-VAL-ALISTP))
 (32 32 (:TYPE-PRESCRIPTION PSEUDO-TERM-SUBSTP))
 (28 1 (:REWRITE PSEUDO-TERM-ALISTP-OF-PAIRLIS$-OF-PSEUDO-TERM-LISTP-AND-SYMBOL-LISTP))
 (24 8 (:REWRITE PSEUDO-TERMFNP-WHEN-PSEUDO-LAMBDAP))
 (22 22 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (16 16 (:REWRITE PSEUDO-TERMFNP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERMFN-LISTP))
 (16 16 (:REWRITE PSEUDO-TERM-VAL-ALISTP-OF-ATOM))
 (16 16 (:REWRITE PSEUDO-TERM-SUBSTP-OF-ATOM))
 (12 12 (:REWRITE RETURN-SPEC-P-WHEN-MEMBER-EQUAL-OF-RETURN-SPEC-LIST-P))
 (6 2 (:REWRITE STATE-P-IMPLIES-AND-FORWARD-TO-STATE-P1))
 (5 3 (:REWRITE SYMBOL-LISTP-OF-CONS))
 )
(PSEUDO-TERMP-OF-CONSTRUCT-RETURNS-JUDGEMENT.JUDGEMENT
 (92064 4818 (:REWRITE DEFAULT-CDR))
 (66305 444 (:REWRITE CONSP-OF-IS-CONJUNCT?))
 (52545 1534 (:REWRITE PSEUDO-TERM-LISTP-OF-SYMBOL-LISTP))
 (45978 719 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (37509 1185 (:REWRITE PSEUDO-TERMP-LIST-CDR))
 (35520 1480 (:DEFINITION NTH))
 (26213 1196 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-OF-PSEUDO-TERMP))
 (23570 433 (:REWRITE PSEUDO-TERMP-CAR))
 (20675 1380 (:REWRITE DEFAULT-CAR))
 (16439 347 (:REWRITE SYMBOL-LISTP-OF-CAR-WHEN-SYMBOL-LIST-LISTP))
 (16141 1480 (:REWRITE NIL-OF-ASSOC-EQUAL-OF-PSEUDO-TERM-ALISTP))
 (15481 166 (:DEFINITION SYMBOL-LIST-LISTP))
 (14118 543 (:REWRITE ASSOC-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST))
 (14118 543 (:REWRITE ASSOC-EQUAL-OF-TYPE-TO-TYPES-ALIST))
 (14118 543 (:REWRITE ASSOC-EQUAL-OF-ALIST-INFO-P))
 (14118 543 (:REWRITE ARG-DECL-P-OF-ASSOC-EQUAL-FROM-FUNCTION-DESCRIPTION-ALIST-P))
 (13887 6309 (:REWRITE IMPLIES-OF-IS-CONJUNCT?))
 (12825 1185 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-PSEUDO-TERMP-IF))
 (12825 1185 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-PSEUDO-TERMP))
 (12809 1177 (:REWRITE PSEUDO-TERM-LISTP-CDR))
 (12514 548 (:REWRITE PSEUDO-TERM-ALISTP-WHEN-NOT-CONSP))
 (11585 645 (:REWRITE TYPE-TO-TYPES-ALIST-P-WHEN-NOT-CONSP))
 (11525 585 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-WHEN-NOT-CONSP))
 (11525 585 (:REWRITE ALIST-INFO-P-WHEN-NOT-CONSP))
 (11403 543 (:REWRITE TYPE-TUPLE-TO-THM-ALIST-P-WHEN-NOT-CONSP))
 (9316 76 (:REWRITE EQUAL-PSEUDO-TERM-LIST-FIX))
 (8514 104 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (7640 7640 (:TYPE-PRESCRIPTION IS-CONJUNCT?))
 (7110 367 (:REWRITE PSEUDO-TERMP-CADR-FROM-PSEUDO-TERM-LISTP))
 (6869 6869 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-OF-TERM))
 (6568 6568 (:REWRITE IMPLIES-OF-IS-CONJUNCT-LIST?))
 (6228 6228 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-P))
 (5745 5745 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 2))
 (5745 5745 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 1))
 (5745 5745 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 2))
 (5745 5745 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 1))
 (5745 5745 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 2))
 (5745 5745 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 1))
 (5745 5745 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 2))
 (5745 5745 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 1))
 (5745 5745 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 2))
 (5745 5745 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 1))
 (5745 5745 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 2))
 (5745 5745 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 1))
 (5745 5745 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 2))
 (5745 5745 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 1))
 (5650 5650 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (5650 5650 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (5536 1513 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (2670 2670 (:REWRITE PSEUDO-LAMBDAP-WHEN-MEMBER-EQUAL-OF-PSEUDO-LAMBDA-LISTP))
 (1830 40 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-LAMBDA-LISTP))
 (1529 1529 (:REWRITE PSEUDO-TERM-LISTP-OF-ATOM))
 (1526 1526 (:REWRITE TERM-LISTP-IMPLIES-PSEUDO-TERM-LISTP))
 (1513 1513 (:REWRITE FN-CHECK-DEF-FORMALS))
 (1438 1438 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P))
 (1420 31 (:REWRITE PSEUDO-LAMBDA-LISTP-OF-CDR-WHEN-PSEUDO-LAMBDA-LISTP))
 (1328 319 (:REWRITE O-P-O-INFP-CAR))
 (1305 15 (:DEFINITION PAIRLIS$))
 (1290 1290 (:REWRITE TYPE-TO-TYPES-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1170 1170 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1170 1170 (:REWRITE ALIST-INFO-P-WHEN-SUBSETP-EQUAL))
 (1096 1096 (:REWRITE PSEUDO-TERM-ALISTP-WHEN-SUBSETP-EQUAL))
 (1086 1086 (:REWRITE TYPE-TUPLE-TO-THM-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1020 1020 (:REWRITE PSEUDO-TERMP-OF-SINGLE-VAR-FNCALL-OF-TERM))
 (1020 1020 (:REWRITE PSEUDO-TERMP-OF-JUDGEMENT-OF-TERM))
 (1015 261 (:REWRITE SYMBOL-LIST-LISTP-WHEN-NOT-CONSP))
 (975 174 (:REWRITE SYMBOL-LIST-LISTP-OF-CDR-WHEN-SYMBOL-LIST-LISTP))
 (890 890 (:REWRITE PSEUDO-TERMP-OF-CAR-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP))
 (864 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-TYPE-TO-TYPES-ALIST-P))
 (864 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-SYMBOL-SYMBOL-ALISTP))
 (864 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-FUNCTION-DESCRIPTION-ALIST-P))
 (864 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ARG-CHECK-P))
 (864 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ALIST-INFO-P))
 (864 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ALIST-ARRAY-MAP-P))
 (838 838 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (661 185 (:REWRITE PSEUDO-TERMP-OF-BODY-OF-PSEUDO-LAMBDAP))
 (646 19 (:REWRITE TYPE-TO-TYPES-ALIST-P-OF-CDR-WHEN-TYPE-TO-TYPES-ALIST-P))
 (646 19 (:REWRITE SYMBOL-SYMBOL-ALISTP-OF-CDR-WHEN-SYMBOL-SYMBOL-ALISTP))
 (646 19 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-OF-CDR-WHEN-FUNCTION-DESCRIPTION-ALIST-P))
 (646 19 (:REWRITE ARG-CHECK-P-OF-CDR-WHEN-ARG-CHECK-P))
 (646 19 (:REWRITE ALIST-INFO-P-OF-CDR-WHEN-ALIST-INFO-P))
 (646 19 (:REWRITE ALIST-ARRAY-MAP-P-OF-CDR-WHEN-ALIST-ARRAY-MAP-P))
 (516 160 (:REWRITE SYMBOL-LISTP-OF-FORMALS-OF-PSEUDO-LAMBDAP))
 (372 72 (:REWRITE SYMBOL-LISTP-OF-CDAR-WHEN-TYPE-TO-TYPES-ALIST-P))
 (371 319 (:REWRITE O-P-DEF-O-FINP-1))
 (341 66 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-NOT-CONSP))
 (295 40 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-TERMP))
 (268 268 (:REWRITE PSEUDO-TERMP-OF-CDR-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP))
 (208 208 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P))
 (208 208 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP))
 (208 208 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P))
 (208 208 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P))
 (208 208 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P))
 (208 208 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P))
 (208 104 (:REWRITE SYMBOLP-OF-FN-CALL-OF-PSEUDO-TERMP))
 (181 181 (:REWRITE SYMBOL-FIX-WHEN-SYMBOLP))
 (132 132 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-SUBSETP-EQUAL))
 (122 42 (:REWRITE SYMBOL-SYMBOL-ALISTP-WHEN-NOT-CONSP))
 (122 42 (:REWRITE ARG-CHECK-P-WHEN-NOT-CONSP))
 (122 42 (:REWRITE ALIST-ARRAY-MAP-P-WHEN-NOT-CONSP))
 (90 90 (:TYPE-PRESCRIPTION PSEUDO-TERM-LIST-FIX))
 (84 84 (:REWRITE SYMBOL-SYMBOL-ALISTP-WHEN-SUBSETP-EQUAL))
 (84 84 (:REWRITE ARG-CHECK-P-WHEN-SUBSETP-EQUAL))
 (84 84 (:REWRITE ALIST-ARRAY-MAP-P-WHEN-SUBSETP-EQUAL))
 (59 59 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (54 9 (:REWRITE PSEUDO-TERMP-OF-CDAR-WHEN-PSEUDO-TERM-ALISTP))
 (52 52 (:TYPE-PRESCRIPTION O-FINP))
 (5 1 (:REWRITE RETURN-SPEC-FIX-WHEN-RETURN-SPEC-P))
 (5 1 (:REWRITE PSEUDO-TERMFNP-WHEN-PSEUDO-LAMBDAP))
 (2 2 (:TYPE-PRESCRIPTION RETURN-SPEC-P))
 (2 2 (:REWRITE RETURN-SPEC-P-WHEN-MEMBER-EQUAL-OF-RETURN-SPEC-LIST-P))
 (2 2 (:REWRITE PSEUDO-TERMFNP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERMFN-LISTP))
 )
(RETURNS-P-OF-CONSTRUCT-RETURNS-JUDGEMENT.RETURNS-THMS
 (92064 4818 (:REWRITE DEFAULT-CDR))
 (66305 444 (:REWRITE CONSP-OF-IS-CONJUNCT?))
 (52545 1534 (:REWRITE PSEUDO-TERM-LISTP-OF-SYMBOL-LISTP))
 (45978 719 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (37509 1185 (:REWRITE PSEUDO-TERMP-LIST-CDR))
 (35520 1480 (:DEFINITION NTH))
 (26213 1196 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-OF-PSEUDO-TERMP))
 (23570 433 (:REWRITE PSEUDO-TERMP-CAR))
 (20675 1380 (:REWRITE DEFAULT-CAR))
 (16439 347 (:REWRITE SYMBOL-LISTP-OF-CAR-WHEN-SYMBOL-LIST-LISTP))
 (16141 1480 (:REWRITE NIL-OF-ASSOC-EQUAL-OF-PSEUDO-TERM-ALISTP))
 (15481 166 (:DEFINITION SYMBOL-LIST-LISTP))
 (14118 543 (:REWRITE ASSOC-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST))
 (14118 543 (:REWRITE ASSOC-EQUAL-OF-TYPE-TO-TYPES-ALIST))
 (14118 543 (:REWRITE ASSOC-EQUAL-OF-ALIST-INFO-P))
 (14118 543 (:REWRITE ARG-DECL-P-OF-ASSOC-EQUAL-FROM-FUNCTION-DESCRIPTION-ALIST-P))
 (13884 6308 (:REWRITE IMPLIES-OF-IS-CONJUNCT?))
 (12825 1185 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-PSEUDO-TERMP-IF))
 (12825 1185 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-PSEUDO-TERMP))
 (12809 1177 (:REWRITE PSEUDO-TERM-LISTP-CDR))
 (12514 548 (:REWRITE PSEUDO-TERM-ALISTP-WHEN-NOT-CONSP))
 (11585 645 (:REWRITE TYPE-TO-TYPES-ALIST-P-WHEN-NOT-CONSP))
 (11525 585 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-WHEN-NOT-CONSP))
 (11525 585 (:REWRITE ALIST-INFO-P-WHEN-NOT-CONSP))
 (11403 543 (:REWRITE TYPE-TUPLE-TO-THM-ALIST-P-WHEN-NOT-CONSP))
 (9316 76 (:REWRITE EQUAL-PSEUDO-TERM-LIST-FIX))
 (8514 104 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (7638 7638 (:TYPE-PRESCRIPTION IS-CONJUNCT?))
 (7110 367 (:REWRITE PSEUDO-TERMP-CADR-FROM-PSEUDO-TERM-LISTP))
 (6865 6865 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-OF-TERM))
 (6567 6567 (:REWRITE IMPLIES-OF-IS-CONJUNCT-LIST?))
 (6227 6227 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-P))
 (5744 5744 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 2))
 (5744 5744 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 1))
 (5744 5744 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 2))
 (5744 5744 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 1))
 (5744 5744 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 2))
 (5744 5744 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 1))
 (5744 5744 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 2))
 (5744 5744 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 1))
 (5744 5744 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 2))
 (5744 5744 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 1))
 (5744 5744 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 2))
 (5744 5744 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 1))
 (5744 5744 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 2))
 (5744 5744 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 1))
 (5649 5649 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (5649 5649 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (5536 1513 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (2668 2668 (:REWRITE PSEUDO-LAMBDAP-WHEN-MEMBER-EQUAL-OF-PSEUDO-LAMBDA-LISTP))
 (1830 40 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-LAMBDA-LISTP))
 (1529 1529 (:REWRITE PSEUDO-TERM-LISTP-OF-ATOM))
 (1526 1526 (:REWRITE TERM-LISTP-IMPLIES-PSEUDO-TERM-LISTP))
 (1513 1513 (:REWRITE FN-CHECK-DEF-FORMALS))
 (1438 1438 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P))
 (1420 31 (:REWRITE PSEUDO-LAMBDA-LISTP-OF-CDR-WHEN-PSEUDO-LAMBDA-LISTP))
 (1328 319 (:REWRITE O-P-O-INFP-CAR))
 (1305 15 (:DEFINITION PAIRLIS$))
 (1290 1290 (:REWRITE TYPE-TO-TYPES-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1170 1170 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1170 1170 (:REWRITE ALIST-INFO-P-WHEN-SUBSETP-EQUAL))
 (1096 1096 (:REWRITE PSEUDO-TERM-ALISTP-WHEN-SUBSETP-EQUAL))
 (1086 1086 (:REWRITE TYPE-TUPLE-TO-THM-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1017 1017 (:REWRITE PSEUDO-TERMP-OF-SINGLE-VAR-FNCALL-OF-TERM))
 (1017 1017 (:REWRITE PSEUDO-TERMP-OF-JUDGEMENT-OF-TERM))
 (1015 261 (:REWRITE SYMBOL-LIST-LISTP-WHEN-NOT-CONSP))
 (975 174 (:REWRITE SYMBOL-LIST-LISTP-OF-CDR-WHEN-SYMBOL-LIST-LISTP))
 (890 890 (:REWRITE PSEUDO-TERMP-OF-CAR-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP))
 (864 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-TYPE-TO-TYPES-ALIST-P))
 (864 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-SYMBOL-SYMBOL-ALISTP))
 (864 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-FUNCTION-DESCRIPTION-ALIST-P))
 (864 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ARG-CHECK-P))
 (864 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ALIST-INFO-P))
 (864 23 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ALIST-ARRAY-MAP-P))
 (837 837 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (661 185 (:REWRITE PSEUDO-TERMP-OF-BODY-OF-PSEUDO-LAMBDAP))
 (646 19 (:REWRITE TYPE-TO-TYPES-ALIST-P-OF-CDR-WHEN-TYPE-TO-TYPES-ALIST-P))
 (646 19 (:REWRITE SYMBOL-SYMBOL-ALISTP-OF-CDR-WHEN-SYMBOL-SYMBOL-ALISTP))
 (646 19 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-OF-CDR-WHEN-FUNCTION-DESCRIPTION-ALIST-P))
 (646 19 (:REWRITE ARG-CHECK-P-OF-CDR-WHEN-ARG-CHECK-P))
 (646 19 (:REWRITE ALIST-INFO-P-OF-CDR-WHEN-ALIST-INFO-P))
 (646 19 (:REWRITE ALIST-ARRAY-MAP-P-OF-CDR-WHEN-ALIST-ARRAY-MAP-P))
 (516 160 (:REWRITE SYMBOL-LISTP-OF-FORMALS-OF-PSEUDO-LAMBDAP))
 (372 72 (:REWRITE SYMBOL-LISTP-OF-CDAR-WHEN-TYPE-TO-TYPES-ALIST-P))
 (371 319 (:REWRITE O-P-DEF-O-FINP-1))
 (341 66 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-NOT-CONSP))
 (295 40 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-TERMP))
 (268 268 (:REWRITE PSEUDO-TERMP-OF-CDR-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP))
 (208 208 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P))
 (208 208 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP))
 (208 208 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P))
 (208 208 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P))
 (208 208 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P))
 (208 208 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P))
 (208 104 (:REWRITE SYMBOLP-OF-FN-CALL-OF-PSEUDO-TERMP))
 (181 181 (:REWRITE SYMBOL-FIX-WHEN-SYMBOLP))
 (132 132 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-SUBSETP-EQUAL))
 (122 42 (:REWRITE SYMBOL-SYMBOL-ALISTP-WHEN-NOT-CONSP))
 (122 42 (:REWRITE ARG-CHECK-P-WHEN-NOT-CONSP))
 (122 42 (:REWRITE ALIST-ARRAY-MAP-P-WHEN-NOT-CONSP))
 (90 90 (:TYPE-PRESCRIPTION PSEUDO-TERM-LIST-FIX))
 (84 84 (:REWRITE SYMBOL-SYMBOL-ALISTP-WHEN-SUBSETP-EQUAL))
 (84 84 (:REWRITE ARG-CHECK-P-WHEN-SUBSETP-EQUAL))
 (84 84 (:REWRITE ALIST-ARRAY-MAP-P-WHEN-SUBSETP-EQUAL))
 (68 68 (:REWRITE RETURNS-P-WHEN-MEMBER-EQUAL-OF-RETURNS-LIST-P))
 (59 59 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (54 9 (:REWRITE PSEUDO-TERMP-OF-CDAR-WHEN-PSEUDO-TERM-ALISTP))
 (52 52 (:TYPE-PRESCRIPTION O-FINP))
 (5 1 (:REWRITE RETURN-SPEC-FIX-WHEN-RETURN-SPEC-P))
 (2 2 (:TYPE-PRESCRIPTION RETURN-SPEC-P))
 (2 2 (:REWRITE RETURN-SPEC-P-WHEN-MEMBER-EQUAL-OF-RETURN-SPEC-LIST-P))
 )
(ACL2-COUNT-OF-ARG-DECL-NEXT->NEXT
 (32432 9 (:DEFINITION PSEUDO-TERMP))
 (27209 437 (:REWRITE CONSP-OF-PSEUDO-LAMBDAP))
 (26728 7 (:REWRITE ARG-CHECK-FIX-WHEN-ARG-CHECK-P))
 (26723 41 (:REWRITE ARG-CHECK-P-WHEN-NOT-CONSP))
 (18355 207 (:DEFINITION SYMBOL-LISTP))
 (14256 161 (:REWRITE PSEUDO-LAMBDAP-OF-FN-CALL-OF-PSEUDO-TERMP))
 (13624 161 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-TERMP))
 (13452 84 (:REWRITE PSEUDO-TERM-LISTP-OF-SYMBOL-LISTP))
 (10450 279 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (9940 81 (:REWRITE SYMBOL-LISTP-OF-CAR-WHEN-SYMBOL-LIST-LISTP))
 (9471 48 (:DEFINITION SYMBOL-LIST-LISTP))
 (9047 250 (:REWRITE CONSP-OF-IS-CONJUNCT?))
 (7695 272 (:REWRITE PSEUDO-TERMP-OPENER))
 (7490 30 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (7271 18 (:DEFINITION TRUE-LIST-LISTP))
 (6836 689 (:REWRITE DEFAULT-CAR))
 (6781 247 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (6521 9 (:REWRITE PSEUDO-TERMP-CADR-FROM-PSEUDO-TERM-LISTP))
 (6300 30 (:DEFINITION TRUE-LISTP))
 (6064 27 (:REWRITE TRUE-LIST-LISTP-OF-CDR-WHEN-TRUE-LIST-LISTP))
 (5927 511 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (4172 61 (:REWRITE SYMBOL-LIST-LISTP-OF-CDR-WHEN-SYMBOL-LIST-LISTP))
 (4002 72 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-OF-PSEUDO-TERMP))
 (2955 689 (:REWRITE LAMBDA-OF-PSEUDO-LAMBDAP))
 (2489 42 (:REWRITE PSEUDO-TERMP-LIST-CDR))
 (2353 33 (:REWRITE PSEUDO-TERMP-CAR))
 (1958 559 (:REWRITE DEFAULT-CDR))
 (1912 1912 (:TYPE-PRESCRIPTION PSEUDO-LAMBDAP))
 (1590 247 (:REWRITE SYMBOLP-OF-FN-CALL-OF-PSEUDO-TERMP))
 (1562 1562 (:REWRITE PSEUDO-LAMBDAP-WHEN-MEMBER-EQUAL-OF-PSEUDO-LAMBDA-LISTP))
 (1529 1529 (:TYPE-PRESCRIPTION PSEUDO-TERMP))
 (1269 515 (:REWRITE IMPLIES-OF-IS-CONJUNCT?))
 (1260 30 (:DEFINITION LEN))
 (1255 167 (:REWRITE CONSP-OF-CDR-OF-PSEUDO-LAMBDAP))
 (1124 161 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-LAMBDA-LISTP))
 (993 95 (:REWRITE SYMBOL-LIST-LISTP-WHEN-NOT-CONSP))
 (956 956 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-OF-TERM))
 (924 44 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (820 67 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ALIST-ARRAY-MAP-P))
 (754 754 (:TYPE-PRESCRIPTION IS-CONJUNCT?))
 (696 696 (:REWRITE IMPLIES-OF-IS-CONJUNCT-LIST?))
 (693 693 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-P))
 (558 558 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P))
 (558 23 (:REWRITE ALIST-ARRAY-MAP-P-OF-CDR-WHEN-ALIST-ARRAY-MAP-P))
 (511 511 (:REWRITE FN-CHECK-DEF-FORMALS))
 (494 494 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P))
 (494 494 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP))
 (494 494 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P))
 (494 494 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P))
 (494 494 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P))
 (494 494 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P))
 (478 86 (:REWRITE SYMBOL-LISTP-OF-FORMALS-OF-PSEUDO-LAMBDAP))
 (448 67 (:REWRITE SYMBOLP-OF-CAAR-WHEN-TYPE-TO-TYPES-ALIST-P))
 (448 67 (:REWRITE SYMBOLP-OF-CAAR-WHEN-SYMBOL-SYMBOL-ALISTP))
 (448 67 (:REWRITE SYMBOLP-OF-CAAR-WHEN-FUNCTION-DESCRIPTION-ALIST-P))
 (448 67 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ALIST-INFO-P))
 (437 437 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 2))
 (437 437 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 1))
 (437 437 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 2))
 (437 437 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 1))
 (437 437 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (437 437 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (437 437 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 2))
 (437 437 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 1))
 (437 437 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 2))
 (437 437 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 1))
 (437 437 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 2))
 (437 437 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 1))
 (437 437 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 2))
 (437 437 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 1))
 (437 437 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 2))
 (437 437 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 1))
 (388 83 (:REWRITE CONSP-OF-CDDR-OF-PSEUDO-LAMBDAP))
 (384 29 (:REWRITE TYPE-TO-TYPES-ALIST-P-OF-CDR-WHEN-TYPE-TO-TYPES-ALIST-P))
 (360 60 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (342 81 (:REWRITE O-P-O-INFP-CAR))
 (296 296 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-SUBSETP-EQUAL))
 (292 67 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ARG-CHECK-P))
 (283 148 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-NOT-CONSP))
 (272 272 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (272 272 (:REWRITE PSEUDO-TERMP-OF-SINGLE-VAR-FNCALL-OF-TERM))
 (272 272 (:REWRITE PSEUDO-TERMP-OF-JUDGEMENT-OF-TERM))
 (261 22 (:REWRITE PSEUDO-LAMBDA-LISTP-OF-CDR-WHEN-PSEUDO-LAMBDA-LISTP))
 (261 18 (:REWRITE SYMBOL-LISTP-OF-CDAR-WHEN-TYPE-TO-TYPES-ALIST-P))
 (252 252 (:TYPE-PRESCRIPTION PSEUDO-TERM-LISTP))
 (239 77 (:REWRITE TYPE-TO-TYPES-ALIST-P-WHEN-NOT-CONSP))
 (218 30 (:REWRITE TRUE-LISTP-OF-CDR-OF-PSEUDO-LAMBDAP))
 (216 3 (:DEFINITION LENGTH))
 (186 23 (:REWRITE SYMBOL-SYMBOL-ALISTP-OF-CDR-WHEN-SYMBOL-SYMBOL-ALISTP))
 (186 23 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-OF-CDR-WHEN-FUNCTION-DESCRIPTION-ALIST-P))
 (186 23 (:REWRITE ALIST-INFO-P-OF-CDR-WHEN-ALIST-INFO-P))
 (165 165 (:TYPE-PRESCRIPTION LEN))
 (165 61 (:REWRITE DEFAULT-+-2))
 (154 154 (:REWRITE TYPE-TO-TYPES-ALIST-P-WHEN-SUBSETP-EQUAL))
 (126 42 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-PSEUDO-TERMP-IF))
 (126 42 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-PSEUDO-TERMP))
 (126 42 (:REWRITE PSEUDO-TERM-LISTP-CDR))
 (124 124 (:REWRITE SYMBOL-SYMBOL-ALISTP-WHEN-SUBSETP-EQUAL))
 (124 124 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-WHEN-SUBSETP-EQUAL))
 (124 124 (:REWRITE ALIST-INFO-P-WHEN-SUBSETP-EQUAL))
 (124 124 (:REWRITE ALIST-ARRAY-MAP-P-WHEN-SUBSETP-EQUAL))
 (120 120 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (120 120 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (120 60 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (115 73 (:REWRITE O-P-DEF-O-FINP-1))
 (87 61 (:REWRITE DEFAULT-+-1))
 (84 84 (:REWRITE TERM-LISTP-IMPLIES-PSEUDO-TERM-LISTP))
 (84 84 (:REWRITE PSEUDO-TERM-LISTP-OF-ATOM))
 (82 82 (:REWRITE ARG-CHECK-P-WHEN-SUBSETP-EQUAL))
 (78 11 (:REWRITE ARG-CHECK-P-OF-CDR-WHEN-ARG-CHECK-P))
 (66 66 (:REWRITE PSEUDO-TERMP-OF-CAR-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP))
 (62 62 (:REWRITE SYMBOL-SYMBOL-ALISTP-WHEN-NOT-CONSP))
 (62 62 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-WHEN-NOT-CONSP))
 (62 62 (:REWRITE ALIST-INFO-P-WHEN-NOT-CONSP))
 (62 62 (:REWRITE ALIST-ARRAY-MAP-P-WHEN-NOT-CONSP))
 (60 60 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (60 60 (:REWRITE TRUE-LISTP-WHEN-THEOREM-SYMBOL-LISTP))
 (60 60 (:REWRITE TRUE-LISTP-WHEN-TERMFN-LISTP))
 (60 60 (:REWRITE TRUE-LISTP-WHEN-MACRO-SYMBOL-LISTP))
 (60 60 (:REWRITE TRUE-LISTP-WHEN-LAMBDA-LISTP))
 (60 60 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (60 60 (:REWRITE SET::IN-SET))
 (57 9 (:REWRITE PSEUDO-TERMP-OF-BODY-OF-PSEUDO-LAMBDAP))
 (56 2 (:LINEAR ACL2-COUNT-OF-CONSP-POSITIVE))
 (42 42 (:TYPE-PRESCRIPTION O-FINP))
 (30 1 (:REWRITE ACL2-COUNT-WHEN-MEMBER))
 (25 1 (:DEFINITION MEMBER-EQUAL))
 (24 6 (:DEFINITION INTEGER-ABS))
 (23 23 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (18 9 (:REWRITE EQUAL-LEN-OF-PSEUDO-LAMBDA-FORMALS-AND-ACTUALS))
 (14 8 (:REWRITE DEFAULT-<-2))
 (12 12 (:REWRITE SYMBOLP-OF-CDR-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P))
 (12 12 (:REWRITE SYMBOLP-OF-CDR-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP))
 (12 12 (:REWRITE PSEUDO-TERMP-OF-CDR-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP))
 (12 8 (:REWRITE DEFAULT-<-1))
 (9 9 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (9 6 (:REWRITE STR::CONSP-OF-EXPLODE))
 (6 6 (:REWRITE DEFAULT-UNARY-MINUS))
 (6 3 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (6 2 (:REWRITE ARG-DECL-FIX-WHEN-ARG-DECL-P))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 4 (:TYPE-PRESCRIPTION ARG-DECL-P))
 (4 4 (:LINEAR ACL2-COUNT-WHEN-MEMBER))
 (3 3 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3 3 (:REWRITE DEFAULT-REALPART))
 (3 3 (:REWRITE DEFAULT-NUMERATOR))
 (3 3 (:REWRITE DEFAULT-IMAGPART))
 (3 3 (:REWRITE DEFAULT-DENOMINATOR))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 )
(RETURNS-JUDGEMENT-SINGLE-ARG
 (16155 65 (:DEFINITION PSEUDO-TERM-LISTP))
 (14367 189 (:REWRITE CONSP-OF-IS-CONJUNCT?))
 (14345 472 (:REWRITE PSEUDO-TERMP-OPENER))
 (10739 180 (:REWRITE PSEUDO-TERM-LISTP-OF-SYMBOL-LISTP))
 (5402 438 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (5268 72 (:REWRITE PSEUDO-TERMP-CAR))
 (4357 104 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (3052 91 (:REWRITE SYMBOL-LISTP-OF-CAR-WHEN-SYMBOL-LIST-LISTP))
 (2891 35 (:DEFINITION SYMBOL-LIST-LISTP))
 (2853 500 (:REWRITE LAMBDA-OF-PSEUDO-LAMBDAP))
 (2275 70 (:REWRITE SYMBOL-LIST-LISTP-WHEN-NOT-CONSP))
 (2062 854 (:REWRITE IMPLIES-OF-IS-CONJUNCT?))
 (1931 608 (:REWRITE DEFAULT-+-2))
 (1836 51 (:DEFINITION LENGTH))
 (1800 108 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-OF-PSEUDO-TERMP))
 (1651 65 (:REWRITE PSEUDO-LAMBDAP-OF-FN-CALL-OF-PSEUDO-TERMP))
 (1365 174 (:REWRITE CONSP-OF-CDR-OF-PSEUDO-LAMBDAP))
 (1355 1355 (:TYPE-PRESCRIPTION PSEUDO-TERMP))
 (1196 52 (:REWRITE ARG-CHECK-P-WHEN-NOT-CONSP))
 (1164 1164 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-OF-TERM))
 (1094 608 (:REWRITE DEFAULT-+-1))
 (958 958 (:REWRITE PSEUDO-LAMBDAP-WHEN-MEMBER-EQUAL-OF-PSEUDO-LAMBDA-LISTP))
 (918 500 (:REWRITE DEFAULT-CAR))
 (763 151 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (756 14 (:REWRITE CONSP-OF-CDDR-OF-PSEUDO-LAMBDAP))
 (730 730 (:REWRITE IMPLIES-OF-IS-CONJUNCT-LIST?))
 (705 705 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-P))
 (686 14 (:REWRITE PSEUDO-TERMP-CADR-FROM-PSEUDO-TERM-LISTP))
 (526 526 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 2))
 (526 526 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 1))
 (526 526 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 2))
 (526 526 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 1))
 (526 526 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 2))
 (526 526 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 1))
 (510 102 (:REWRITE COMMUTATIVITY-OF-+))
 (500 108 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-PSEUDO-TERMP-IF))
 (500 108 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-PSEUDO-TERMP))
 (473 473 (:REWRITE PSEUDO-TERMP-OF-SINGLE-VAR-FNCALL-OF-TERM))
 (473 473 (:REWRITE PSEUDO-TERMP-OF-JUDGEMENT-OF-TERM))
 (464 100 (:REWRITE PSEUDO-TERM-LISTP-CDR))
 (458 458 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (438 438 (:REWRITE FN-CHECK-DEF-FORMALS))
 (427 427 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 2))
 (427 427 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 1))
 (427 427 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 2))
 (427 427 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 1))
 (427 427 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (427 427 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (427 427 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 2))
 (427 427 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 1))
 (427 427 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 2))
 (427 427 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 1))
 (422 65 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-TERMP))
 (408 102 (:DEFINITION INTEGER-ABS))
 (330 330 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P))
 (330 330 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P))
 (330 330 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P))
 (320 65 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-LAMBDA-LISTP))
 (302 302 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P))
 (302 302 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP))
 (302 302 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P))
 (302 151 (:REWRITE SYMBOLP-OF-FN-CALL-OF-PSEUDO-TERMP))
 (300 10 (:REWRITE EQUAL-FIXED-AND-X-OF-PSEUDO-TERMP))
 (217 42 (:REWRITE SYMBOL-LISTP-OF-CDAR-WHEN-TYPE-TO-TYPES-ALIST-P))
 (208 208 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P))
 (198 99 (:REWRITE CONSP-CAR-OF-ARG-CHECK-FIX))
 (176 44 (:REWRITE O-P-O-INFP-CAR))
 (172 172 (:REWRITE TERM-LISTP-IMPLIES-PSEUDO-TERM-LISTP))
 (172 172 (:REWRITE PSEUDO-TERM-LISTP-OF-ATOM))
 (150 150 (:REWRITE FOLD-CONSTS-IN-+))
 (148 120 (:REWRITE DEFAULT-<-2))
 (144 144 (:REWRITE PSEUDO-TERMP-OF-CAR-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP))
 (144 120 (:REWRITE DEFAULT-<-1))
 (104 104 (:REWRITE ARG-CHECK-P-WHEN-SUBSETP-EQUAL))
 (102 102 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-SUBSETP-EQUAL))
 (102 102 (:REWRITE DEFAULT-UNARY-MINUS))
 (102 51 (:REWRITE STR::CONSP-OF-EXPLODE))
 (102 51 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (84 14 (:REWRITE SYMBOLP-OF-CAAR-WHEN-FUNCTION-DESCRIPTION-ALIST-P))
 (84 14 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ALIST-INFO-P))
 (84 14 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ALIST-ARRAY-MAP-P))
 (70 70 (:REWRITE TYPE-TO-TYPES-ALIST-P-WHEN-SUBSETP-EQUAL))
 (70 35 (:REWRITE SYMBOL-LIST-LISTP-OF-CDR-WHEN-SYMBOL-LIST-LISTP))
 (51 51 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (51 51 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-NOT-CONSP))
 (51 51 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (51 51 (:REWRITE DEFAULT-REALPART))
 (51 51 (:REWRITE DEFAULT-NUMERATOR))
 (51 51 (:REWRITE DEFAULT-IMAGPART))
 (51 51 (:REWRITE DEFAULT-DENOMINATOR))
 (44 44 (:REWRITE O-P-DEF-O-FINP-1))
 (42 14 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ARG-CHECK-P))
 (36 36 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-WHEN-SUBSETP-EQUAL))
 (35 35 (:REWRITE TYPE-TO-TYPES-ALIST-P-WHEN-NOT-CONSP))
 (28 28 (:REWRITE ALIST-INFO-P-WHEN-SUBSETP-EQUAL))
 (28 28 (:REWRITE ALIST-ARRAY-MAP-P-WHEN-SUBSETP-EQUAL))
 (28 8 (:REWRITE ARG-DECL-P-OF-CDAR-WHEN-FUNCTION-DESCRIPTION-ALIST-P))
 (28 4 (:REWRITE ACL2-COUNT-WHEN-MEMBER))
 (18 18 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-WHEN-NOT-CONSP))
 (18 18 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (16 16 (:REWRITE ARG-DECL-P-OF-CDR-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P))
 (16 2 (:DEFINITION MEMBER-EQUAL))
 (14 14 (:REWRITE ALIST-INFO-P-WHEN-NOT-CONSP))
 (14 14 (:REWRITE ALIST-ARRAY-MAP-P-WHEN-NOT-CONSP))
 (10 10 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE PSEUDO-TERMP-OF-PSEUDO-TERM-FIX))
 )
(RETURNS-JUDGEMENT-FLAG
 (15265 60 (:DEFINITION PSEUDO-TERM-LISTP))
 (14343 186 (:REWRITE CONSP-OF-IS-CONJUNCT?))
 (14006 442 (:REWRITE PSEUDO-TERMP-OPENER))
 (10364 170 (:REWRITE PSEUDO-TERM-LISTP-OF-SYMBOL-LISTP))
 (5258 67 (:REWRITE PSEUDO-TERMP-CAR))
 (5092 418 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (4332 99 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (3052 91 (:REWRITE SYMBOL-LISTP-OF-CAR-WHEN-SYMBOL-LIST-LISTP))
 (2891 35 (:DEFINITION SYMBOL-LIST-LISTP))
 (2639 458 (:REWRITE LAMBDA-OF-PSEUDO-LAMBDAP))
 (2275 70 (:REWRITE SYMBOL-LIST-LISTP-WHEN-NOT-CONSP))
 (1781 741 (:REWRITE IMPLIES-OF-IS-CONJUNCT?))
 (1651 65 (:REWRITE PSEUDO-LAMBDAP-OF-FN-CALL-OF-PSEUDO-TERMP))
 (1625 103 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-OF-PSEUDO-TERMP))
 (1455 470 (:REWRITE DEFAULT-+-2))
 (1404 39 (:DEFINITION LENGTH))
 (1350 171 (:REWRITE CONSP-OF-CDR-OF-PSEUDO-LAMBDAP))
 (1290 1290 (:TYPE-PRESCRIPTION PSEUDO-TERMP))
 (1265 55 (:REWRITE ARG-CHECK-P-WHEN-NOT-CONSP))
 (1092 1092 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-OF-TERM))
 (866 866 (:REWRITE PSEUDO-LAMBDAP-WHEN-MEMBER-EQUAL-OF-PSEUDO-LAMBDA-LISTP))
 (856 458 (:REWRITE DEFAULT-CAR))
 (824 470 (:REWRITE DEFAULT-+-1))
 (774 1 (:DEFINITION NAT-LISTP))
 (756 14 (:REWRITE CONSP-OF-CDDR-OF-PSEUDO-LAMBDAP))
 (738 146 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (690 690 (:REWRITE IMPLIES-OF-IS-CONJUNCT-LIST?))
 (686 14 (:REWRITE PSEUDO-TERMP-CADR-FROM-PSEUDO-TERM-LISTP))
 (671 1 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (663 663 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-P))
 (489 489 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 2))
 (489 489 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 1))
 (489 489 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 2))
 (489 489 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 1))
 (489 489 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 2))
 (489 489 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 1))
 (460 103 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-PSEUDO-TERMP-IF))
 (460 103 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-PSEUDO-TERMP))
 (443 443 (:REWRITE PSEUDO-TERMP-OF-SINGLE-VAR-FNCALL-OF-TERM))
 (443 443 (:REWRITE PSEUDO-TERMP-OF-JUDGEMENT-OF-TERM))
 (428 428 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (424 95 (:REWRITE PSEUDO-TERM-LISTP-CDR))
 (422 65 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-TERMP))
 (418 418 (:REWRITE FN-CHECK-DEF-FORMALS))
 (390 390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 2))
 (390 390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 1))
 (390 390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 2))
 (390 390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 1))
 (390 390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (390 390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (390 390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 2))
 (390 390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 1))
 (390 390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 2))
 (390 390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 1))
 (390 78 (:REWRITE COMMUTATIVITY-OF-+))
 (320 320 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P))
 (320 320 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P))
 (320 320 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P))
 (320 65 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-LAMBDA-LISTP))
 (312 78 (:DEFINITION INTEGER-ABS))
 (292 292 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P))
 (292 292 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP))
 (292 292 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P))
 (292 146 (:REWRITE SYMBOLP-OF-FN-CALL-OF-PSEUDO-TERMP))
 (240 8 (:REWRITE EQUAL-FIXED-AND-X-OF-PSEUDO-TERMP))
 (230 230 (:TYPE-PRESCRIPTION PSEUDO-TERM-FIX))
 (217 42 (:REWRITE SYMBOL-LISTP-OF-CDAR-WHEN-TYPE-TO-TYPES-ALIST-P))
 (198 198 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P))
 (198 99 (:REWRITE CONSP-CAR-OF-ARG-CHECK-FIX))
 (162 162 (:REWRITE TERM-LISTP-IMPLIES-PSEUDO-TERM-LISTP))
 (162 162 (:REWRITE PSEUDO-TERM-LISTP-OF-ATOM))
 (156 39 (:REWRITE O-P-O-INFP-CAR))
 (134 134 (:REWRITE PSEUDO-TERMP-OF-CAR-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP))
 (117 93 (:REWRITE DEFAULT-<-2))
 (116 116 (:REWRITE FOLD-CONSTS-IN-+))
 (113 93 (:REWRITE DEFAULT-<-1))
 (110 110 (:REWRITE ARG-CHECK-P-WHEN-SUBSETP-EQUAL))
 (102 102 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-SUBSETP-EQUAL))
 (84 14 (:REWRITE SYMBOLP-OF-CAAR-WHEN-FUNCTION-DESCRIPTION-ALIST-P))
 (84 14 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ALIST-INFO-P))
 (84 14 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ALIST-ARRAY-MAP-P))
 (78 78 (:REWRITE DEFAULT-UNARY-MINUS))
 (78 39 (:REWRITE STR::CONSP-OF-EXPLODE))
 (78 39 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (70 70 (:REWRITE TYPE-TO-TYPES-ALIST-P-WHEN-SUBSETP-EQUAL))
 (70 35 (:REWRITE SYMBOL-LIST-LISTP-OF-CDR-WHEN-SYMBOL-LIST-LISTP))
 (54 1 (:DEFINITION NATP))
 (51 51 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-NOT-CONSP))
 (51 2 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (47 1 (:DEFINITION INTEGER-LISTP))
 (44 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (42 14 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ARG-CHECK-P))
 (39 39 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (39 39 (:REWRITE O-P-DEF-O-FINP-1))
 (39 39 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (39 39 (:REWRITE DEFAULT-REALPART))
 (39 39 (:REWRITE DEFAULT-NUMERATOR))
 (39 39 (:REWRITE DEFAULT-IMAGPART))
 (39 39 (:REWRITE DEFAULT-DENOMINATOR))
 (38 2 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (36 36 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-WHEN-SUBSETP-EQUAL))
 (35 35 (:REWRITE TYPE-TO-TYPES-ALIST-P-WHEN-NOT-CONSP))
 (28 28 (:REWRITE ALIST-INFO-P-WHEN-SUBSETP-EQUAL))
 (28 28 (:REWRITE ALIST-ARRAY-MAP-P-WHEN-SUBSETP-EQUAL))
 (28 8 (:REWRITE ARG-DECL-P-OF-CDAR-WHEN-FUNCTION-DESCRIPTION-ALIST-P))
 (28 4 (:REWRITE ACL2-COUNT-WHEN-MEMBER))
 (18 18 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-WHEN-NOT-CONSP))
 (18 18 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (16 16 (:REWRITE ARG-DECL-P-OF-CDR-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P))
 (16 2 (:DEFINITION MEMBER-EQUAL))
 (14 14 (:REWRITE ALIST-INFO-P-WHEN-NOT-CONSP))
 (14 14 (:REWRITE ALIST-ARRAY-MAP-P-WHEN-NOT-CONSP))
 (10 10 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (5 1 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (2 1 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (1 1 (:REWRITE PSEUDO-TERMP-OF-PSEUDO-TERM-FIX))
 )
(FLAG::FLAG-EQUIV-LEMMA)
(RETURNS-JUDGEMENT-FLAG-EQUIVALENCES)
(FLAG-LEMMA-FOR-RETURN-TYPE-OF-RETURNS-JUDGEMENT-SINGLE-ARG.JUDGEMENTS
 (13502 105 (:REWRITE EQUAL-PSEUDO-TERM-LIST-FIX))
 (10146 57 (:DEFINITION PSEUDO-TERM-LISTP))
 (7435 567 (:REWRITE PSEUDO-TERMP-OPENER))
 (5008 130 (:REWRITE PSEUDO-TERM-LISTP-OF-SYMBOL-LISTP))
 (4126 316 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (3116 162 (:REWRITE EQUAL-FIXED-AND-X-OF-PSEUDO-TERMP))
 (2915 303 (:REWRITE LAMBDA-OF-PSEUDO-LAMBDAP))
 (2622 74 (:REWRITE RETURNS-LIST-FIX-WHEN-RETURNS-LIST-P))
 (2499 71 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-OF-PSEUDO-TERMP))
 (1561 561 (:REWRITE IMPLIES-OF-IS-CONJUNCT?))
 (1351 96 (:REWRITE ARG-CHECK-FIX-WHEN-ARG-CHECK-P))
 (1289 303 (:REWRITE DEFAULT-CAR))
 (1281 1281 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-OF-TERM))
 (1133 27 (:REWRITE PSEUDO-LAMBDAP-OF-FN-CALL-OF-PSEUDO-TERMP))
 (1096 123 (:REWRITE CONSP-OF-IS-CONJUNCT?))
 (1079 50 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 (1035 45 (:REWRITE ARG-CHECK-P-WHEN-NOT-CONSP))
 (824 106 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (752 752 (:REWRITE IMPLIES-OF-IS-CONJUNCT-LIST?))
 (686 686 (:REWRITE PSEUDO-LAMBDAP-WHEN-MEMBER-EQUAL-OF-PSEUDO-LAMBDA-LISTP))
 (669 31 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (653 653 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-P))
 (647 79 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (628 628 (:REWRITE PSEUDO-TERMP-OF-SINGLE-VAR-FNCALL-OF-TERM))
 (628 628 (:REWRITE PSEUDO-TERMP-OF-JUDGEMENT-OF-TERM))
 (581 31 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (568 71 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-PSEUDO-TERMP-IF))
 (568 71 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-PSEUDO-TERMP))
 (567 567 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (547 547 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 2))
 (547 547 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 1))
 (547 547 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 2))
 (547 547 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 1))
 (547 547 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 2))
 (547 547 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 1))
 (537 537 (:TYPE-PRESCRIPTION PSEUDO-TERM-FIX))
 (532 532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 2))
 (532 532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 1))
 (532 532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 2))
 (532 532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 1))
 (532 532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (532 532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (532 532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 2))
 (532 532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 1))
 (532 532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 2))
 (532 532 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 1))
 (456 57 (:REWRITE PSEUDO-TERM-LISTP-CDR))
 (395 79 (:REWRITE CONSP-OF-CDR-OF-PSEUDO-LAMBDAP))
 (316 316 (:REWRITE FN-CHECK-DEF-FORMALS))
 (276 69 (:REWRITE O-P-O-INFP-CAR))
 (232 27 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-TERMP))
 (218 27 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-LAMBDA-LISTP))
 (218 26 (:REWRITE ARG-DECL-FIX-WHEN-ARG-DECL-P))
 (212 212 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P))
 (212 212 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP))
 (212 212 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P))
 (212 212 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P))
 (212 212 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P))
 (212 212 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P))
 (212 106 (:REWRITE SYMBOLP-OF-FN-CALL-OF-PSEUDO-TERMP))
 (158 158 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P))
 (156 71 (:REWRITE PSEUDO-TERMP-LIST-CDR))
 (114 114 (:REWRITE TERM-LISTP-IMPLIES-PSEUDO-TERM-LISTP))
 (114 114 (:REWRITE PSEUDO-TERMP-OF-CAR-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP))
 (114 114 (:REWRITE PSEUDO-TERM-LISTP-OF-ATOM))
 (114 57 (:REWRITE PSEUDO-TERMP-CAR))
 (90 90 (:REWRITE ARG-CHECK-P-WHEN-SUBSETP-EQUAL))
 (84 14 (:REWRITE ARG-DECL-P-OF-CDAR-WHEN-FUNCTION-DESCRIPTION-ALIST-P))
 (70 70 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-SUBSETP-EQUAL))
 (69 69 (:REWRITE O-P-DEF-O-FINP-1))
 (68 34 (:REWRITE PSEUDO-TERM-FIX-IDEMPOTENT-LEMMA))
 (56 8 (:REWRITE PSEUDO-LAMBDA-LISTP-OF-CDR-WHEN-PSEUDO-LAMBDA-LISTP))
 (42 14 (:REWRITE ARG-DECL-P-OF-CDAR-WHEN-ARG-CHECK-P))
 (38 38 (:TYPE-PRESCRIPTION ARG-DECL-P))
 (35 35 (:REWRITE SUBSETP-TRANS2))
 (35 35 (:REWRITE SUBSETP-TRANS))
 (35 35 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-NOT-CONSP))
 (32 32 (:REWRITE PSEUDO-TERMP-OF-CDR-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP))
 (32 8 (:REWRITE ARG-CHECK-P-OF-CDR-WHEN-ARG-CHECK-P))
 (30 15 (:REWRITE CONSP-CAR-OF-ARG-CHECK-FIX))
 (28 28 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-WHEN-SUBSETP-EQUAL))
 (28 28 (:REWRITE ARG-DECL-P-OF-CDR-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P))
 (24 12 (:REWRITE PSEUDO-TERM-LIST-FIX-IDEMPOTENT-LEMMA))
 (22 22 (:REWRITE RETURN-TYPE-OF-ARG-CHECK-FIX.NEWX))
 (14 14 (:REWRITE PSEUDO-TERM-LISTP-OF-PSEUDO-TERM-LIST-FIX))
 (14 14 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-WHEN-NOT-CONSP))
 (13 13 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (11 3 (:REWRITE SYMBOL-LISTP-OF-CONS))
 (4 4 (:REWRITE ARG-CHECK-P-OF-ARG-DECL-NEXT->NEXT))
 )
(RETURN-TYPE-OF-RETURNS-JUDGEMENT-SINGLE-ARG.JUDGEMENTS)
(RETURN-TYPE-OF-RETURNS-JUDGEMENT-SINGLE-ARG.RETURNS-THMS)
(RETURN-TYPE-OF-RETURNS-JUDGEMENT.JUDGEMENTS)
(RETURN-TYPE-OF-RETURNS-JUDGEMENT.RETURNS-THMS)
(RETURNS-JUDGEMENT
 (20569 109 (:DEFINITION SYMBOL-LISTP))
 (19309 56 (:REWRITE PSEUDO-TERM-LISTP-OF-SYMBOL-LISTP))
 (12038 335 (:REWRITE PSEUDO-TERMP-OPENER))
 (10970 300 (:DEFINITION MEMBER-EQUAL))
 (8552 239 (:REWRITE SYMBOL-LISTP-WHEN-NOT-CONSP))
 (6204 260 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P))
 (5038 420 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P))
 (4548 504 (:REWRITE CONSP-OF-PSEUDO-LAMBDAP))
 (4389 210 (:REWRITE SYMBOLP-OF-CAR-WHEN-SYMBOL-LISTP))
 (4375 21 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-OF-PSEUDO-TERMP))
 (3041 130 (:REWRITE SYMBOL-LISTP-OF-CDR-WHEN-SYMBOL-LISTP))
 (2711 614 (:REWRITE LAMBDA-OF-PSEUDO-LAMBDAP))
 (2430 13 (:REWRITE PSEUDO-LAMBDAP-OF-FN-CALL-OF-PSEUDO-TERMP))
 (2367 2367 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2230 2230 (:TYPE-PRESCRIPTION PSEUDO-TERM-FIX))
 (2142 2142 (:REWRITE PSEUDO-LAMBDAP-WHEN-MEMBER-EQUAL-OF-PSEUDO-LAMBDA-LISTP))
 (2040 420 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P))
 (1724 210 (:REWRITE SYMBOLP-OF-FN-CALL-OF-PSEUDO-TERMP))
 (1063 1063 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-OF-TERM))
 (1004 504 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 1))
 (868 504 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 1))
 (715 715 (:REWRITE IMPLIES-OF-TYPE-PREDICATE-P))
 (710 710 (:REWRITE IMPLIES-OF-IS-CONJUNCT-LIST?))
 (661 614 (:REWRITE DEFAULT-CAR))
 (661 149 (:REWRITE CONSP-OF-CDR-OF-PSEUDO-LAMBDAP))
 (603 603 (:REWRITE SUBSETP-MEMBER . 2))
 (603 603 (:REWRITE SUBSETP-MEMBER . 1))
 (504 504 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 2))
 (504 504 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TUPLE-TO-THM-ALIST-P . 1))
 (504 504 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-TYPE-TO-TYPES-ALIST-P . 2))
 (504 504 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (504 504 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (504 504 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 2))
 (504 504 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP . 1))
 (504 504 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 2))
 (504 504 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P . 1))
 (504 504 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ARG-CHECK-P . 2))
 (504 504 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 2))
 (504 504 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P . 1))
 (504 504 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 2))
 (504 504 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P . 1))
 (462 433 (:REWRITE DEFAULT-CDR))
 (422 422 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P))
 (422 422 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-INFO-P))
 (422 422 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-ALIST-ARRAY-MAP-P))
 (420 420 (:REWRITE SYMBOLP-OF-CAR-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP))
 (348 348 (:REWRITE PSEUDO-TERMP-OF-SINGLE-VAR-FNCALL-OF-TERM))
 (348 348 (:REWRITE PSEUDO-TERMP-OF-JUDGEMENT-OF-TERM))
 (335 335 (:REWRITE TERMP-IMPLIES-PSEUDO-TERMP))
 (293 10 (:REWRITE TYPE-TO-TYPES-ALIST-P-WHEN-NOT-CONSP))
 (239 239 (:REWRITE FN-CHECK-DEF-FORMALS))
 (168 21 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-PSEUDO-TERMP-IF))
 (168 21 (:REWRITE PSEUDO-TERM-LISTP-OF-CDR-PSEUDO-TERMP))
 (119 4 (:REWRITE RETURNS-LIST-P-WHEN-NOT-CONSP))
 (105 21 (:REWRITE CONSP-OF-CDDR-OF-PSEUDO-LAMBDAP))
 (97 13 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-TERMP))
 (84 84 (:REWRITE PSEUDO-TERMP-OF-CDR-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP))
 (80 80 (:REWRITE FN-CHECK-DEF-NOT-QUOTE))
 (73 13 (:REWRITE PSEUDO-LAMBDAP-OF-CAR-WHEN-PSEUDO-LAMBDA-LISTP))
 (64 8 (:REWRITE PSEUDO-TERM-LISTP-CDR))
 (63 6 (:REWRITE ARG-CHECK-P-WHEN-NOT-CONSP))
 (50 14 (:REWRITE O-P-O-INFP-CAR))
 (43 43 (:REWRITE TERM-LISTP-IMPLIES-PSEUDO-TERM-LISTP))
 (43 43 (:REWRITE PSEUDO-TERM-LISTP-OF-ATOM))
 (40 40 (:REWRITE PSEUDO-TERMP-OF-CAR-WHEN-MEMBER-EQUAL-OF-PSEUDO-TERM-ALISTP))
 (24 24 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-SUBSETP-EQUAL))
 (24 8 (:REWRITE STATE-P-IMPLIES-AND-FORWARD-TO-STATE-P1))
 (15 15 (:REWRITE SUBSETP-TRANS2))
 (15 15 (:REWRITE SUBSETP-TRANS))
 (12 12 (:REWRITE PSEUDO-LAMBDA-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE O-P-DEF-O-FINP-1))
 (12 2 (:REWRITE ARG-DECL-P-OF-CDAR-WHEN-FUNCTION-DESCRIPTION-ALIST-P))
 (6 6 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-WHEN-SUBSETP-EQUAL))
 (6 1 (:REWRITE SYMBOLP-OF-CAAR-WHEN-FUNCTION-DESCRIPTION-ALIST-P))
 (6 1 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ALIST-INFO-P))
 (6 1 (:REWRITE SYMBOLP-OF-CAAR-WHEN-ALIST-ARRAY-MAP-P))
 (4 4 (:REWRITE ARG-DECL-P-OF-CDR-WHEN-MEMBER-EQUAL-OF-FUNCTION-DESCRIPTION-ALIST-P))
 (4 2 (:DEFINITION EQ))
 (3 3 (:REWRITE MEMBER-SELF))
 (3 3 (:REWRITE FUNCTION-DESCRIPTION-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ALIST-INFO-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE ALIST-ARRAY-MAP-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE ALIST-INFO-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE ALIST-ARRAY-MAP-P-WHEN-NOT-CONSP))
 )
