(FLAT::<DEF=)
(FLAT::COMMUTATIVITY-2-OF-+)
(FLAT::ASSOCIATE-CONSTANTS-LEFT-+)
(FLAT::MINUS-INVERSE-+-A)
(FLAT::MINUS-INVERSE-+-B)
(FLAT::F1-CHAIN)
(FLAT::BASE-OF-F1-CHAIN=UNDEF$
 (1 1 (:REWRITE ZP-OPEN))
 )
(FLAT::F1-CHAIN-IS-<DEF=-CHAIN
 (1279 199 (:REWRITE FLAT::BASE-OF-F1-CHAIN=UNDEF$))
 (523 313 (:REWRITE DEFAULT-+-2))
 (377 313 (:REWRITE DEFAULT-+-1))
 (254 254 (:REWRITE DEFAULT-<-2))
 (254 254 (:REWRITE DEFAULT-<-1))
 (234 234 (:REWRITE FLAT::$BOTTOM$-BASED-CHAIN-I>0))
 (200 150 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (171 159 (:REWRITE DEFAULT-CAR))
 (89 83 (:REWRITE DEFAULT-CDR))
 )
(FLAT::LUB-F1-CHAIN-I-REWRITE
 (96 12 (:REWRITE FLAT::BASE-OF-F1-CHAIN=UNDEF$))
 (32 22 (:REWRITE DEFAULT-+-2))
 (24 22 (:REWRITE DEFAULT-+-1))
 (19 19 (:REWRITE DEFAULT-<-2))
 (19 19 (:REWRITE DEFAULT-<-1))
 (19 19 (:REWRITE FLAT::$BOTTOM$-BASED-CHAIN-I>0))
 (12 12 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (11 11 (:TYPE-PRESCRIPTION ZP))
 (4 4 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(FLAT::LUB-F1-CHAIN-NAT-I)
(FLAT::LUB-F1-CHAIN)
(FLAT::LUB-F1-CHAIN-IS-UPPER-BOUND
 (2003 242 (:REWRITE FLAT::BASE-OF-F1-CHAIN=UNDEF$))
 (407 407 (:REWRITE DEFAULT-<-2))
 (407 407 (:REWRITE DEFAULT-<-1))
 (401 401 (:REWRITE FLAT::$BOTTOM$-BASED-CHAIN-I>0))
 (382 252 (:REWRITE DEFAULT-+-2))
 (282 252 (:REWRITE DEFAULT-+-1))
 (219 219 (:TYPE-PRESCRIPTION ZP))
 (144 134 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (81 81 (:REWRITE DEFAULT-CAR))
 (56 14 (:REWRITE FLAT::ASSOCIATE-CONSTANTS-LEFT-+))
 (42 42 (:REWRITE DEFAULT-CDR))
 (14 14 (:REWRITE CAR-CONS))
 (8 8 (:REWRITE CDR-CONS))
 )
(FLAT::F1-CHAIN-IS-<DEF=-CHAIN-F)
(FLAT::F1)
(FLAT::F1-IS-STRICT
 (10 1 (:REWRITE FLAT::BASE-OF-F1-CHAIN=UNDEF$))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE FLAT::$BOTTOM$-BASED-CHAIN-I>0))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:REWRITE FLAT::F1-CHAIN-IS-<DEF=-CHAIN-F))
 )
(FLAT::G1-CHAIN)
(FLAT::UB-G1-CHAIN)
(FLAT::G1-CHAIN-<DEF=-UB-G1-CHAIN
 (847 847 (:REWRITE DEFAULT-<-2))
 (847 847 (:REWRITE DEFAULT-<-1))
 (828 828 (:REWRITE FLAT::$BOTTOM$-BASED-CHAIN-I>0))
 (828 483 (:REWRITE DEFAULT-+-2))
 (565 483 (:REWRITE DEFAULT-+-1))
 (441 441 (:TYPE-PRESCRIPTION ZP))
 (317 240 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (199 199 (:REWRITE DEFAULT-CAR))
 (102 102 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE FLAT::F1-CHAIN-IS-<DEF=-CHAIN-F))
 )
(FLAT::SKOLEM-F1)
(FLAT::UB-G1-CHAIN-=-G1-CHAIN-SKOLEM-F1
 (78193 50077 (:REWRITE DEFAULT-+-2))
 (72441 72071 (:REWRITE DEFAULT-<-1))
 (72372 72071 (:REWRITE DEFAULT-<-2))
 (65045 65045 (:REWRITE FLAT::$BOTTOM$-BASED-CHAIN-I>0))
 (53859 50077 (:REWRITE DEFAULT-+-1))
 (31403 31403 (:TYPE-PRESCRIPTION ZP))
 (29769 26573 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (26893 26893 (:REWRITE DEFAULT-CAR))
 (11603 11603 (:REWRITE DEFAULT-CDR))
 (2374 1187 (:REWRITE FLAT::MINUS-INVERSE-+-B))
 (2349 2349 (:REWRITE FLAT::F1-CHAIN-IS-<DEF=-CHAIN-F))
 )
(FLAT::LUB-F1-CHAIN=UB-G1-CHAIN
 (18829 11435 (:REWRITE DEFAULT-+-2))
 (18336 17884 (:REWRITE DEFAULT-<-2))
 (18070 17884 (:REWRITE DEFAULT-<-1))
 (16785 16785 (:REWRITE FLAT::$BOTTOM$-BASED-CHAIN-I>0))
 (12820 11435 (:REWRITE DEFAULT-+-1))
 (8583 8583 (:TYPE-PRESCRIPTION ZP))
 (6950 5604 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6654 6654 (:REWRITE DEFAULT-CAR))
 (2984 2984 (:REWRITE DEFAULT-CDR))
 (55 55 (:REWRITE FLAT::F1-CHAIN-IS-<DEF=-CHAIN-F))
 (32 16 (:REWRITE FLAT::MINUS-INVERSE-+-B))
 )
(FLAT::F1-DEF
 (1939 1930 (:REWRITE DEFAULT-<-1))
 (1930 1930 (:REWRITE DEFAULT-<-2))
 (1823 1823 (:REWRITE FLAT::$BOTTOM$-BASED-CHAIN-I>0))
 (1521 981 (:REWRITE DEFAULT-+-2))
 (1058 981 (:REWRITE DEFAULT-+-1))
 (849 849 (:TYPE-PRESCRIPTION ZP))
 (538 480 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (482 482 (:REWRITE DEFAULT-CAR))
 (244 244 (:REWRITE DEFAULT-CDR))
 (107 107 (:REWRITE FLAT::F1-CHAIN-IS-<DEF=-CHAIN-F))
 )
(FLAT::F)
(FLAT::F-DEF
 (1728 1718 (:REWRITE DEFAULT-<-1))
 (1718 1718 (:REWRITE DEFAULT-<-2))
 (1614 1614 (:REWRITE FLAT::$BOTTOM$-BASED-CHAIN-I>0))
 (1496 945 (:REWRITE DEFAULT-+-2))
 (1022 945 (:REWRITE DEFAULT-+-1))
 (745 745 (:TYPE-PRESCRIPTION ZP))
 (550 492 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (203 203 (:REWRITE DEFAULT-CAR))
 (118 118 (:REWRITE DEFAULT-CDR))
 (98 98 (:REWRITE FLAT::F1-CHAIN-IS-<DEF=-CHAIN-F))
 )
(FLAT::PETER-VERSION-F-DEF
 (18 10 (:REWRITE DEFAULT-+-2))
 (12 10 (:REWRITE DEFAULT-+-1))
 (10 10 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
