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(YUL::EOUTCOME-RESULT-RENAMEVARP-RENAMING-EQUIV-CONGRUENCE-ON-REN)
(YUL::SOUTCOME-RESULT-RENAMEVARP)
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(YUL::SOUTCOME-RESULT-RENAMEVARP-OF-ERRORS-NOT-ERROR)
(YUL::SOUTCOME-RESULT-RENAMEVARP-OF-SOUTCOME-RESULT-FIX-OLD)
(YUL::SOUTCOME-RESULT-RENAMEVARP-SOUTCOME-RESULT-EQUIV-CONGRUENCE-ON-OLD)
(YUL::SOUTCOME-RESULT-RENAMEVARP-OF-SOUTCOME-RESULT-FIX-NEW)
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(YUL::SAME-ENSURE-FUNSCOPE-DISJOINT-WHEN-RENAMEVAR)
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 (30 12 (:REWRITE SET::EMPTYP-SUBSET))
 (27 9 (:REWRITE OMAP::KEYS-WHEN-EMPTYP))
 (18 18 (:TYPE-PRESCRIPTION OMAP::EMPTYP))
 (18 3 (:REWRITE SUBSETP-TRANS))
 (12 12 (:TYPE-PRESCRIPTION YUL::RENAMING->LIST$INLINE))
 (12 2 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (12 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (10 10 (:REWRITE SET::PICK-A-POINT-SUBSET-CONSTRAINT-HELPER))
 (4 4 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (4 4 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 )
(YUL::CSTATE-RENAMEVARP-OF-LARGER
 (6 6 (:TYPE-PRESCRIPTION YUL::RENAMING->LIST$INLINE))
 (6 1 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (6 1 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2 2 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (2 2 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 )
(YUL::KEYS-OF-CSTATE->LOCAL-OF-EXEC-STATEMENT-LIST
 (6 2 (:REWRITE OMAP::KEYS-WHEN-EMPTYP))
 (4 4 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (4 4 (:TYPE-PRESCRIPTION OMAP::EMPTYP))
 (4 1 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (3 1 (:REWRITE YUL::EXEC-STATEMENT-LIST-STATIC-SOUNDNESS))
 (3 1 (:REWRITE SET::EMPTYP-SUBSET-2))
 (3 1 (:REWRITE SET::EMPTYP-SUBSET))
 (2 2 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
 (2 2 (:TYPE-PRESCRIPTION YUL::FUNENV-SAFEP))
 (1 1 (:REWRITE FTY::RESERR-OPTIONP-WHEN-RESERRP))
 (1 1 (:REWRITE SET::PICK-A-POINT-SUBSET-CONSTRAINT-HELPER))
 )
(YUL::KEYS-OF-CSTATE->LOCAL-OF-EXEC-FOR-ITERATIONS
 (88 58 (:TYPE-PRESCRIPTION OMAP::KEYS-WHEN-EMPTYP))
 (34 34 (:TYPE-PRESCRIPTION OMAP::EMPTYP))
 (6 2 (:REWRITE OMAP::KEYS-WHEN-EMPTYP))
 (4 1 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (3 1 (:REWRITE YUL::EXEC-FOR-ITERATIONS-STATIC-SOUNDNESS))
 (2 2 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
 (2 2 (:TYPE-PRESCRIPTION YUL::FUNENV-SAFEP))
 (1 1 (:REWRITE FTY::RESERR-OPTIONP-WHEN-RESERRP))
 )
(YUL::RESERR-LIMITP-OF-RESERR-OF-INFO
 (10 10 (:REWRITE DEFAULT-CDR))
 (9 9 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (9 9 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (6 6 (:REWRITE DEFAULT-CAR))
 )
(YUL::NOT-RESERR-LIMITP-OF-CONST
 (3 3 (:REWRITE DEFAULT-CDR))
 (3 3 (:REWRITE DEFAULT-CAR))
 )
(YUL::NOT-RESERR-LIMITP-OF-EVAL-LITERAL
 (200 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (160 8 (:REWRITE CONSP-OF-REPEAT))
 (140 4 (:DEFINITION BINARY-APPEND))
 (120 12 (:REWRITE ZP-OPEN))
 (90 10 (:DEFINITION LEN))
 (72 4 (:REWRITE REPEAT-WHEN-ZP))
 (71 2 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (68 1 (:REWRITE FTY::RESERR-OPTIONP-WHEN-RESERRP))
 (58 30 (:REWRITE DEFAULT-<-2))
 (53 53 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (53 53 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (42 42 (:REWRITE DEFAULT-CDR))
 (36 8 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (30 30 (:REWRITE DEFAULT-<-1))
 (28 28 (:REWRITE DEFAULT-CAR))
 (28 14 (:REWRITE DEFAULT-+-2))
 (18 3 (:REWRITE YUL::HEX-DIGIT-LIST->CHARS-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION REPEAT))
 (14 14 (:REWRITE DEFAULT-+-1))
 (8 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (4 4 (:TYPE-PRESCRIPTION ZP))
 (3 3 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
 )
(YUL::NOT-RESERR-LIMITP-OF-SOUTCOME)
(YUL::NOT-RESERR-LIMITP-OF-PATH-TO-VAR
 (20 4 (:REWRITE YUL::PATH-FIX-WHEN-PATHP))
 (17 2 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (14 14 (:REWRITE DEFAULT-CDR))
 (14 1 (:REWRITE FTY::RESERR-OPTIONP-WHEN-RESERRP))
 (12 12 (:REWRITE DEFAULT-CAR))
 (9 9 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (9 9 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (8 8 (:TYPE-PRESCRIPTION YUL::PATHP))
 (8 8 (:REWRITE YUL::PATHP-WHEN-MEMBER-EQUAL-OF-PATH-LISTP))
 (8 1 (:REWRITE YUL::IDENTIFIERP-WHEN-IDENTIFIER-OPTIONP))
 (5 1 (:REWRITE YUL::IDENTIFIER-OPTIONP-WHEN-IDENTIFIERP))
 (4 4 (:REWRITE YUL::IDENTIFIERP-WHEN-MEMBER-EQUAL-OF-IDENTIFIER-LISTP))
 (3 3 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
 (2 2 (:TYPE-PRESCRIPTION YUL::IDENTIFIER-OPTIONP))
 (2 2 (:REWRITE YUL::IDENTIFIERP-WHEN-IN-IDENTIFIER-SETP-BINDS-FREE-X))
 (2 2 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-LSTATEP-BINDS-FREE-X))
 (2 2 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-IDENTIFIER-IDENTIFIER-MAPP-BINDS-FREE-X))
 (2 2 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-FUNSCOPEP-BINDS-FREE-X))
 )
(YUL::NOT-RESERR-LIMITP-OF-PATHS-TO-VARS
 (95 15 (:REWRITE YUL::IDENTIFIER-LIST-RESULTP-WHEN-RESERRP))
 (88 25 (:REWRITE YUL::IDENTIFIER-LISTP-WHEN-NOT-CONSP))
 (50 50 (:REWRITE YUL::IDENTIFIER-LISTP-WHEN-SUBSETP-EQUAL))
 (38 38 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (38 38 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (23 11 (:REWRITE YUL::IDENTIFIER-LIST-RESULTP-WHEN-IDENTIFIER-LISTP))
 (17 17 (:REWRITE DEFAULT-CAR))
 (16 2 (:REWRITE YUL::IDENTIFIERP-WHEN-IDENTIFIER-OPTIONP))
 (14 14 (:REWRITE DEFAULT-CDR))
 (13 1 (:REWRITE YUL::IDENTIFIER-OPTIONP-WHEN-IDENTIFIERP))
 (4 4 (:REWRITE YUL::IDENTIFIERP-WHEN-MEMBER-EQUAL-OF-IDENTIFIER-LISTP))
 (2 2 (:TYPE-PRESCRIPTION YUL::IDENTIFIER-OPTIONP))
 (2 2 (:REWRITE YUL::IDENTIFIERP-WHEN-IN-IDENTIFIER-SETP-BINDS-FREE-X))
 (2 2 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-LSTATEP-BINDS-FREE-X))
 (2 2 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-IDENTIFIER-IDENTIFIER-MAPP-BINDS-FREE-X))
 (2 2 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-FUNSCOPEP-BINDS-FREE-X))
 (1 1 (:TYPE-PRESCRIPTION YUL::IDENTIFIERP))
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(YUL::NOT-RESERR-LIMITP-OF-READ-VAR-VALUE
 (85 7 (:REWRITE YUL::IDENTIFIER-FIX-WHEN-IDENTIFIERP))
 (30 6 (:REWRITE YUL::IDENTIFIERP-WHEN-IDENTIFIER-OPTIONP))
 (23 2 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (20 1 (:REWRITE FTY::RESERR-OPTIONP-WHEN-RESERRP))
 (18 18 (:TYPE-PRESCRIPTION YUL::IDENTIFIERP))
 (15 5 (:REWRITE OMAP::ASSOC-WHEN-EMPTYP))
 (12 12 (:TYPE-PRESCRIPTION YUL::IDENTIFIER-OPTIONP))
 (12 12 (:REWRITE YUL::IDENTIFIERP-WHEN-MEMBER-EQUAL-OF-IDENTIFIER-LISTP))
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 (6 6 (:REWRITE YUL::IDENTIFIERP-WHEN-IN-IDENTIFIER-SETP-BINDS-FREE-X))
 (6 6 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-LSTATEP-BINDS-FREE-X))
 (6 6 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-IDENTIFIER-IDENTIFIER-MAPP-BINDS-FREE-X))
 (6 6 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-FUNSCOPEP-BINDS-FREE-X))
 (3 3 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
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 )
(YUL::NOT-RESERR-LIMITP-OF-READ-VARS-VALUES
 (123 15 (:REWRITE YUL::VALUE-LIST-RESULTP-WHEN-RESERRP))
 (80 25 (:REWRITE YUL::VALUE-LISTP-WHEN-NOT-CONSP))
 (33 11 (:REWRITE YUL::VALUE-LIST-RESULTP-WHEN-VALUE-LISTP))
 (28 28 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
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 (16 16 (:REWRITE DEFAULT-CAR))
 (14 14 (:REWRITE DEFAULT-CDR))
 )
(YUL::NOT-RESERR-LIMITP-OF-WRITE-VAR-VALUE
 (72 7 (:REWRITE YUL::IDENTIFIER-FIX-WHEN-IDENTIFIERP))
 (26 2 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (25 5 (:REWRITE YUL::IDENTIFIERP-WHEN-IDENTIFIER-OPTIONP))
 (23 1 (:REWRITE FTY::RESERR-OPTIONP-WHEN-RESERRP))
 (15 15 (:TYPE-PRESCRIPTION YUL::IDENTIFIERP))
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 (10 5 (:REWRITE YUL::IDENTIFIER-OPTIONP-WHEN-IDENTIFIERP))
 (9 3 (:REWRITE OMAP::ASSOC-WHEN-EMPTYP))
 (7 7 (:REWRITE DEFAULT-CDR))
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 (6 6 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
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 (6 2 (:REWRITE YUL::VALUE-FIX-WHEN-VALUEP))
 (6 2 (:REWRITE OMAP::UPDATE-WHEN-EMPTYP))
 (5 5 (:REWRITE YUL::IDENTIFIERP-WHEN-IN-IDENTIFIER-SETP-BINDS-FREE-X))
 (5 5 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-LSTATEP-BINDS-FREE-X))
 (5 5 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-IDENTIFIER-IDENTIFIER-MAPP-BINDS-FREE-X))
 (5 5 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-FUNSCOPEP-BINDS-FREE-X))
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 (3 3 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
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(YUL::NOT-RESERR-LIMITP-OF-WRITE-VARS-VALUES
 (36 6 (:REWRITE YUL::IDENTIFIER-LIST-FIX-WHEN-IDENTIFIER-LISTP))
 (24 24 (:REWRITE DEFAULT-CAR))
 (24 24 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
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 (24 6 (:REWRITE YUL::VALUE-LIST-FIX-WHEN-VALUE-LISTP))
 (18 6 (:REWRITE YUL::CSTATE-FIX-WHEN-CSTATEP))
 (12 12 (:TYPE-PRESCRIPTION YUL::CSTATEP))
 (12 12 (:REWRITE YUL::IDENTIFIER-LISTP-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE DEFAULT-CDR))
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(YUL::NOT-RESERR-LIMITP-OF-ADD-VAR-VALUE
 (72 7 (:REWRITE YUL::IDENTIFIER-FIX-WHEN-IDENTIFIERP))
 (26 2 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (25 5 (:REWRITE YUL::IDENTIFIERP-WHEN-IDENTIFIER-OPTIONP))
 (23 1 (:REWRITE FTY::RESERR-OPTIONP-WHEN-RESERRP))
 (15 15 (:TYPE-PRESCRIPTION YUL::IDENTIFIERP))
 (10 10 (:TYPE-PRESCRIPTION YUL::IDENTIFIER-OPTIONP))
 (10 10 (:REWRITE YUL::IDENTIFIERP-WHEN-MEMBER-EQUAL-OF-IDENTIFIER-LISTP))
 (10 5 (:REWRITE YUL::IDENTIFIER-OPTIONP-WHEN-IDENTIFIERP))
 (9 3 (:REWRITE OMAP::ASSOC-WHEN-EMPTYP))
 (7 7 (:REWRITE DEFAULT-CDR))
 (6 6 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (6 6 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (6 2 (:REWRITE YUL::VALUE-FIX-WHEN-VALUEP))
 (6 2 (:REWRITE OMAP::UPDATE-WHEN-EMPTYP))
 (5 5 (:REWRITE YUL::IDENTIFIERP-WHEN-IN-IDENTIFIER-SETP-BINDS-FREE-X))
 (5 5 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-LSTATEP-BINDS-FREE-X))
 (5 5 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-IDENTIFIER-IDENTIFIER-MAPP-BINDS-FREE-X))
 (5 5 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-FUNSCOPEP-BINDS-FREE-X))
 (4 4 (:TYPE-PRESCRIPTION YUL::VALUEP))
 (3 3 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
 )
(YUL::NOT-RESERR-LIMITP-OF-ADD-VARS-VALUES
 (36 6 (:REWRITE YUL::IDENTIFIER-LIST-FIX-WHEN-IDENTIFIER-LISTP))
 (24 24 (:REWRITE DEFAULT-CAR))
 (24 24 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (24 24 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (24 6 (:REWRITE YUL::VALUE-LIST-FIX-WHEN-VALUE-LISTP))
 (18 6 (:REWRITE YUL::CSTATE-FIX-WHEN-CSTATEP))
 (12 12 (:TYPE-PRESCRIPTION YUL::CSTATEP))
 (12 12 (:REWRITE YUL::IDENTIFIER-LISTP-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE DEFAULT-CDR))
 (6 6 (:REWRITE YUL::VALUE-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE YUL::IDENTIFIER-LISTP-WHEN-NOT-CONSP))
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(YUL::NOT-RESERR-LIMITP-OF-FIND-FUN
 (264 12 (:REWRITE OMAP::ASSOC-WHEN-EMPTYP))
 (252 18 (:REWRITE YUL::IDENTIFIER-FIX-WHEN-IDENTIFIERP))
 (240 12 (:REWRITE YUL::EMPTYP-OF-FUNSCOPE-FIX-TO-NOT-FUNSCOPE-OR-EMPTYP))
 (168 48 (:REWRITE YUL::FUNSCOPEP-OF-CAR-WHEN-FUNENVP))
 (132 12 (:REWRITE YUL::FUNSCOPE-FIX-WHEN-FUNSCOPEP))
 (96 96 (:REWRITE YUL::FUNSCOPEP-WHEN-MEMBER-EQUAL-OF-FUNENVP))
 (90 18 (:REWRITE YUL::IDENTIFIERP-WHEN-IDENTIFIER-OPTIONP))
 (75 75 (:TYPE-PRESCRIPTION YUL::FUNSCOPE-FIX))
 (60 60 (:TYPE-PRESCRIPTION YUL::FUNSCOPEP))
 (54 54 (:TYPE-PRESCRIPTION YUL::IDENTIFIERP))
 (48 48 (:REWRITE YUL::FUNENVP-WHEN-SUBSETP-EQUAL))
 (40 40 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (40 40 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (36 36 (:TYPE-PRESCRIPTION YUL::IDENTIFIER-OPTIONP))
 (36 36 (:REWRITE YUL::IDENTIFIERP-WHEN-MEMBER-EQUAL-OF-IDENTIFIER-LISTP))
 (36 18 (:REWRITE YUL::IDENTIFIER-OPTIONP-WHEN-IDENTIFIERP))
 (33 33 (:REWRITE DEFAULT-CDR))
 (30 30 (:REWRITE DEFAULT-CAR))
 (24 24 (:REWRITE YUL::FUNENVP-WHEN-NOT-CONSP))
 (18 18 (:REWRITE YUL::IDENTIFIERP-WHEN-IN-IDENTIFIER-SETP-BINDS-FREE-X))
 (18 18 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-LSTATEP-BINDS-FREE-X))
 (18 18 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-IDENTIFIER-IDENTIFIER-MAPP-BINDS-FREE-X))
 (18 18 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-FUNSCOPEP-BINDS-FREE-X))
 )
(YUL::NOT-RESERR-LIMITP-OF-INIT-LOCAL
 (36 2 (:REWRITE REPEAT-WHEN-ZP))
 (28 2 (:REWRITE ZP-OPEN))
 (22 22 (:TYPE-PRESCRIPTION LEN))
 (14 2 (:DEFINITION LEN))
 (8 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 2 (:REWRITE DEFAULT-+-2))
 (3 3 (:REWRITE-QUOTED-CONSTANT YUL::CSTATE-FIX-UNDER-CSTATE-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION ZP))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (2 2 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 )
(YUL::EXEC-WHEN-RENAMEVAR-RESTRICT-VARS-LEMMA-1
 (33 6 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (24 3 (:REWRITE FTY::RESERR-OPTIONP-WHEN-RESERRP))
 (14 6 (:REWRITE OMAP::KEYS-WHEN-EMPTYP))
 (10 6 (:REWRITE DEFAULT-+-2))
 (9 9 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
 (8 8 (:TYPE-PRESCRIPTION OMAP::EMPTYP))
 (6 6 (:REWRITE DEFAULT-+-1))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(YUL::EXEC-WHEN-RENAMEVAR-RESTRICT-VARS-LEMMA-2
 (48 48 (:TYPE-PRESCRIPTION OMAP::EMPTYP))
 (48 24 (:TYPE-PRESCRIPTION OMAP::KEYS-WHEN-EMPTYP))
 (40 16 (:REWRITE OMAP::KEYS-WHEN-EMPTYP))
 (27 21 (:REWRITE DEFAULT-+-2))
 (21 21 (:REWRITE DEFAULT-+-1))
 (20 20 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (16 6 (:REWRITE SET::EMPTYP-SUBSET-2))
 (16 6 (:REWRITE SET::EMPTYP-SUBSET))
 (12 12 (:REWRITE SET::SUBSET-TRANSITIVE))
 (12 3 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (6 6 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
 (6 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 6 (:REWRITE SET::PICK-A-POINT-SUBSET-CONSTRAINT-HELPER))
 (3 3 (:REWRITE FTY::RESERR-OPTIONP-WHEN-RESERRP))
 )
(YUL::EXPRESSION-INDUCT
 (1716 393 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (1176 147 (:REWRITE FTY::RESERR-OPTIONP-WHEN-RESERRP))
 (441 441 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
 (297 297 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (297 297 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (289 17 (:DEFINITION MEMBER-EQUAL))
 (281 105 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (245 105 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (217 217 (:REWRITE SUBSETP-TRANS2))
 (217 217 (:REWRITE SUBSETP-TRANS))
 (67 67 (:REWRITE DEFAULT-+-2))
 (67 67 (:REWRITE DEFAULT-+-1))
 (64 23 (:REWRITE YUL::FUNENVP-WHEN-NOT-CONSP))
 (52 48 (:REWRITE DEFAULT-CAR))
 (51 51 (:REWRITE ZP-OPEN))
 (34 34 (:REWRITE SUBSETP-MEMBER . 2))
 (34 34 (:REWRITE SUBSETP-MEMBER . 1))
 (31 27 (:REWRITE DEFAULT-CDR))
 (21 21 (:REWRITE DEFAULT-<-2))
 (21 21 (:REWRITE DEFAULT-<-1))
 (21 3 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (12 2 (:REWRITE REV-WHEN-NOT-CONSP))
 (9 3 (:REWRITE YUL::VALUE-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE YUL::IDENTIFIERP-WHEN-MEMBER-EQUAL-OF-IDENTIFIER-LISTP))
 (6 2 (:REWRITE YUL::SWCASE-LISTP-WHEN-NOT-CONSP))
 (6 2 (:REWRITE YUL::STATEMENT-LISTP-WHEN-NOT-CONSP))
 (6 2 (:REWRITE YUL::EXPRESSION-LISTP-WHEN-NOT-CONSP))
 (5 5 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-LSTATEP-BINDS-FREE-X))
 (5 5 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-FUNSCOPEP-BINDS-FREE-X))
 (4 4 (:REWRITE YUL::IDENTIFIERP-WHEN-IN-IDENTIFIER-SETP-BINDS-FREE-X))
 (4 4 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-IDENTIFIER-IDENTIFIER-MAPP-BINDS-FREE-X))
 (1 1 (:REWRITE-QUOTED-CONSTANT YUL::RENAMING-FIX-UNDER-RENAMING-EQUIV))
 )
(YUL::INDUCTION-FLAG
 (418 76 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (304 38 (:REWRITE FTY::RESERR-OPTIONP-WHEN-RESERRP))
 (114 114 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
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 (90 90 (:REWRITE DEFAULT-<-1))
 (70 70 (:REWRITE DEFAULT-+-2))
 (70 70 (:REWRITE DEFAULT-+-1))
 (30 30 (:REWRITE ZP-OPEN))
 (24 4 (:REWRITE REV-WHEN-NOT-CONSP))
 (20 16 (:REWRITE DEFAULT-CAR))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (12 12 (:TYPE-PRESCRIPTION YUL::FUNCALL->ARGS$INLINE))
 (10 6 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE-QUOTED-CONSTANT YUL::RENAMING-FIX-UNDER-RENAMING-EQUIV))
 )
(FLAG::FLAG-EQUIV-LEMMA)
(YUL::INDUCTION-FLAG-EQUIVALENCES)
(YUL::FLAG-LEMMA-FOR-THEOREM-FOR-EXPRESSION-INDUCT
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 (17062 7657 (:REWRITE DEFAULT-CAR))
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 (7434 2478 (:REWRITE FOLD-CONSTS-IN-+))
 (7271 1626 (:REWRITE YUL::VALUE-FIX-WHEN-VALUEP))
 (5524 5524 (:TYPE-PRESCRIPTION YUL::BLOCKP))
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 (4856 1948 (:REWRITE YUL::BLOCK-OPTIONP-WHEN-BLOCKP))
 (4420 442 (:REWRITE YUL::STATEMENT-FIX-WHEN-STATEMENTP))
 (4216 4216 (:TYPE-PRESCRIPTION YUL::BLOCK-OPTIONP))
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 (3180 3180 (:TYPE-PRESCRIPTION YUL::VALUEP))
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 (1326 1326 (:TYPE-PRESCRIPTION YUL::STATEMENTP))
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 (976 976 (:REWRITE YUL::EXPRESSIONP-WHEN-MEMBER-EQUAL-OF-EXPRESSION-LISTP))
 (976 488 (:REWRITE YUL::EXPRESSION-OPTIONP-WHEN-EXPRESSIONP))
 (884 884 (:TYPE-PRESCRIPTION YUL::STATEMENT-OPTIONP))
 (884 884 (:REWRITE YUL::STATEMENTP-WHEN-MEMBER-EQUAL-OF-STATEMENT-LISTP))
 (884 442 (:REWRITE YUL::STATEMENT-OPTIONP-WHEN-STATEMENTP))
 (861 287 (:REWRITE OMAP::KEYS-WHEN-EMPTYP))
 (810 514 (:REWRITE YUL::EXPRESSION-LISTP-WHEN-NOT-CONSP))
 (784 784 (:TYPE-PRESCRIPTION YUL::STATEMENT-ASSIGN-MULTI->TARGETS$INLINE))
 (690 135 (:REWRITE REV-WHEN-NOT-CONSP))
 (594 297 (:REWRITE YUL::MODE-FIX-WHEN-REGULAR))
 (590 297 (:REWRITE YUL::MODE-FIX-WHEN-CONTINUE))
 (590 297 (:REWRITE YUL::MODE-FIX-WHEN-BREAK))
 (574 574 (:TYPE-PRESCRIPTION OMAP::EMPTYP))
 (538 538 (:REWRITE-QUOTED-CONSTANT UBYTE256-FIX-UNDER-UBYTE256-EQUIV))
 (504 84 (:REWRITE YUL::STATEMENT-LISTP-OF-CDR-WHEN-STATEMENT-LISTP))
 (470 94 (:REWRITE YUL::IDENTIFIERP-WHEN-IDENTIFIER-OPTIONP))
 (352 352 (:REWRITE YUL::STATEMENT-LISTP-WHEN-SUBSETP-EQUAL))
 (333 333 (:TYPE-PRESCRIPTION YUL::FUNCALL->ARGS$INLINE))
 (328 328 (:REWRITE-QUOTED-CONSTANT YUL::VALUE-LIST-FIX-UNDER-VALUE-LIST-EQUIV))
 (320 320 (:REWRITE YUL::BLOCK-OPTION-FIX-WHEN-NONE))
 (291 291 (:REWRITE YUL::MODEP-WHEN-IN-MODE-SETP-BINDS-FREE-X))
 (204 176 (:REWRITE YUL::STATEMENT-LISTP-WHEN-NOT-CONSP))
 (192 192 (:REWRITE YUL::SOUTCOME-FIX-UNDER-SOUTCOME-EQUIV))
 (188 188 (:TYPE-PRESCRIPTION YUL::IDENTIFIER-OPTIONP))
 (188 188 (:REWRITE YUL::IDENTIFIERP-WHEN-MEMBER-EQUAL-OF-IDENTIFIER-LISTP))
 (188 94 (:REWRITE YUL::IDENTIFIER-OPTIONP-WHEN-IDENTIFIERP))
 (166 166 (:REWRITE YUL::RESERR-OPTIONP-OF-FUNDEF-LIST-RENAMEVAR))
 (134 134 (:REWRITE-QUOTED-CONSTANT YUL::IDENTIFIER-IDENTIFIER-ALIST-FIX-UNDER-IDENTIFIER-IDENTIFIER-ALIST-EQUIV))
 (112 14 (:REWRITE YUL::VALUE-LIST-RESULTP-WHEN-RESERRP))
 (102 102 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-LSTATEP-BINDS-FREE-X))
 (102 102 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-FUNSCOPEP-BINDS-FREE-X))
 (97 97 (:REWRITE SUBSETP-TRANS2))
 (97 97 (:REWRITE SUBSETP-TRANS))
 (94 94 (:REWRITE YUL::IDENTIFIERP-WHEN-IN-IDENTIFIER-SETP-BINDS-FREE-X))
 (94 94 (:REWRITE YUL::IDENTIFIERP-WHEN-ASSOC-IDENTIFIER-IDENTIFIER-MAPP-BINDS-FREE-X))
 (88 88 (:REWRITE YUL::RESERR-OPTIONP-OF-PATH-RENAMEVAR))
 (88 88 (:REWRITE REPEAT-WHEN-ZP))
 (72 24 (:REWRITE YUL::CSTATE-FIX-WHEN-CSTATEP))
 (61 61 (:REWRITE YUL::RESERR-OPTIONP-OF-PATH-LIST-RENAMEVAR))
 (56 56 (:REWRITE-QUOTED-CONSTANT YUL::VALUE-FIX-UNDER-VALUE-EQUIV))
 (48 48 (:TYPE-PRESCRIPTION YUL::CSTATEP))
 (43 43 (:REWRITE YUL::RETURN-TYPE-OF-EXPRESSION-LIST-RENAMEVAR._))
 (42 14 (:REWRITE YUL::VALUE-LISTP-WHEN-NOT-CONSP))
 (36 4 (:REWRITE YUL::VALUEP-OF-CAR-WHEN-VALUE-LISTP))
 (28 14 (:REWRITE YUL::VALUE-LIST-RESULTP-WHEN-VALUE-LISTP))
 (22 22 (:REWRITE YUL::RETURN-TYPE-OF-FUNDEF-RENAMEVAR._))
 (20 10 (:REWRITE YUL::FUNCALL-OPTIONP-WHEN-FUNCALLP))
 (18 18 (:REWRITE YUL::FUNCALL-OPTION-FIX-WHEN-NONE))
 (18 18 (:REWRITE YUL::EXPRESSION-OPTION-FIX-WHEN-NONE))
 (12 12 (:TYPE-PRESCRIPTION YUL::RENAMING->LIST$INLINE))
 (12 2 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (12 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (11 11 (:REWRITE YUL::RESERR-OPTIONP-OF-VAR-RENAMEVAR))
 (7 7 (:REWRITE-QUOTED-CONSTANT YUL::BLOCK-OPTION-FIX-UNDER-BLOCK-OPTION-EQUIV))
 (4 4 (:REWRITE YUL::RESERR-OPTIONP-OF-VAR-LIST-RENAMEVAR))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE YUL::RENAMING-FIX-UNDER-RENAMING-EQUIV))
 )
(YUL::THEOREM-FOR-EXPRESSION-INDUCT)
(YUL::THEOREM-FOR-EXPRESSION-LIST-INDUCT)
(YUL::THEOREM-FOR-FUNCALL-INDUCT)
(YUL::THEOREM-FOR-FUNCTION-INDUCT)
(YUL::THEOREM-FOR-STATEMENT-INDUCT)
(YUL::THEOREM-FOR-STATEMENT-LIST-INDUCT)
(YUL::THEOREM-FOR-BLOCK-INDUCT)
(YUL::THEOREM-FOR-FOR-ITERATIONS-INDUCT)
(YUL::THEOREM-FOR-SWITCH-REST-INDUCT)
(YUL::EXEC-EXPRESSION-WHEN-RENAMEVAR
 (6 1 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (1 1 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
 (1 1 (:REWRITE YUL::RETURN-TYPE-OF-EXPRESSION-RENAMEVAR._))
 )
(YUL::EXEC-EXPRESSION-LIST-WHEN-RENAMEVAR
 (6 1 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (1 1 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
 (1 1 (:REWRITE YUL::RETURN-TYPE-OF-EXPRESSION-LIST-RENAMEVAR._))
 )
(YUL::EXEC-FUNCALL-WHEN-RENAMEVAR
 (6 1 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (1 1 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
 (1 1 (:REWRITE YUL::RETURN-TYPE-OF-FUNCALL-RENAMEVAR._))
 )
(YUL::EXEC-FUNCTION-WHEN-RENAMEVAR)
(YUL::EXEC-STATEMENT-WHEN-RENAMEVAR
 (11 2 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (8 1 (:REWRITE FTY::RESERR-OPTIONP-WHEN-RESERRP))
 (3 3 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
 )
(YUL::EXEC-STATEMENT-LIST-WHEN-RENAMEVAR
 (11 2 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (8 1 (:REWRITE FTY::RESERR-OPTIONP-WHEN-RESERRP))
 (3 3 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
 )
(YUL::EXEC-BLOCK-WHEN-RENAMEVAR
 (6 1 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (1 1 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
 (1 1 (:REWRITE YUL::RETURN-TYPE-OF-BLOCK-RENAMEVAR._))
 )
(YUL::EXEC-FOR-ITERATIONS-WHEN-RENAMEVAR
 (18 3 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (3 3 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
 (2 2 (:REWRITE YUL::RETURN-TYPE-OF-BLOCK-RENAMEVAR._))
 (1 1 (:REWRITE YUL::RETURN-TYPE-OF-EXPRESSION-RENAMEVAR._))
 )
(YUL::EXEC-SWITCH-REST-WHEN-RENAMEVAR
 (12 2 (:REWRITE FTY::RESERRP-WHEN-RESERR-OPTIONP))
 (2 2 (:TYPE-PRESCRIPTION FTY::RESERR-OPTIONP))
 (1 1 (:REWRITE YUL::RETURN-TYPE-OF-SWCASE-LIST-RENAMEVAR._))
 (1 1 (:REWRITE YUL::RETURN-TYPE-OF-BLOCK-OPTION-RENAMEVAR._))
 )
