(FLAT::<DEF=)
(FLAT::COMMUTATIVITY-2-OF-+)
(FLAT::ASSOCIATE-CONSTANTS-LEFT-+)
(FLAT::MINUS-INVERSE-+-A)
(FLAT::MINUS-INVERSE-+-B)
(FLAT::F-CHAIN)
(FLAT::BASE-OF-F-CHAIN=UNDEF$
 (1 1 (:REWRITE ZP-OPEN))
 )
(FLAT::F-CHAIN-IS-<DEF=-CHAIN
 (20055 2262 (:REWRITE FLAT::BASE-OF-F-CHAIN=UNDEF$))
 (4127 4127 (:REWRITE DEFAULT-<-2))
 (4127 4127 (:REWRITE DEFAULT-<-1))
 (4082 4082 (:REWRITE FLAT::$BOTTOM$-BASED-CHAIN-I>0))
 (2117 2117 (:REWRITE DEFAULT-+-2))
 (2117 2117 (:REWRITE DEFAULT-+-1))
 (1427 1427 (:REWRITE DEFAULT-CDR))
 (673 673 (:REWRITE DEFAULT-CAR))
 )
(FLAT::LUB-F-CHAIN-I-REWRITE
 (154 16 (:REWRITE FLAT::BASE-OF-F-CHAIN=UNDEF$))
 (31 31 (:REWRITE DEFAULT-<-2))
 (31 31 (:REWRITE DEFAULT-<-1))
 (31 31 (:REWRITE FLAT::$BOTTOM$-BASED-CHAIN-I>0))
 (17 17 (:TYPE-PRESCRIPTION ZP))
 (14 14 (:REWRITE DEFAULT-+-2))
 (14 14 (:REWRITE DEFAULT-+-1))
 (8 8 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE DEFAULT-CAR))
 )
(FLAT::LUB-F-CHAIN-NAT-I)
(FLAT::LUB-F-CHAIN)
(FLAT::LUB-F-CHAIN-IS-UPPER-BOUND
 (5841 612 (:REWRITE FLAT::BASE-OF-F-CHAIN=UNDEF$))
 (1185 1185 (:REWRITE DEFAULT-<-2))
 (1185 1185 (:REWRITE DEFAULT-<-1))
 (1179 1179 (:REWRITE FLAT::$BOTTOM$-BASED-CHAIN-I>0))
 (616 616 (:TYPE-PRESCRIPTION ZP))
 (312 312 (:REWRITE DEFAULT-+-2))
 (312 312 (:REWRITE DEFAULT-+-1))
 (209 209 (:REWRITE DEFAULT-CDR))
 (96 96 (:REWRITE DEFAULT-CAR))
 (12 12 (:REWRITE CDR-CONS))
 (4 4 (:REWRITE CAR-CONS))
 )
(FLAT::F-CHAIN-IS-<DEF=-CHAIN-F)
(FLAT::F)
(FLAT::G-CHAIN)
(FLAT::UB-G-CHAIN)
(FLAT::G-CHAIN-<DEF=-UB-G-CHAIN
 (31608 31605 (:REWRITE DEFAULT-<-1))
 (31605 31605 (:REWRITE DEFAULT-<-2))
 (31409 31409 (:REWRITE FLAT::$BOTTOM$-BASED-CHAIN-I>0))
 (15988 15988 (:TYPE-PRESCRIPTION ZP))
 (7893 7893 (:REWRITE DEFAULT-+-2))
 (7893 7893 (:REWRITE DEFAULT-+-1))
 (5847 5847 (:REWRITE DEFAULT-CDR))
 (2460 2460 (:REWRITE DEFAULT-CAR))
 (128 128 (:REWRITE FLAT::F-CHAIN-IS-<DEF=-CHAIN-F))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(FLAT::SKOLEM-F)
(FLAT::UB-G-CHAIN-=-G-CHAIN-SKOLEM-F
 (953024 950668 (:REWRITE DEFAULT-<-2))
 (951811 950668 (:REWRITE DEFAULT-<-1))
 (919859 919859 (:REWRITE FLAT::$BOTTOM$-BASED-CHAIN-I>0))
 (448584 448584 (:TYPE-PRESCRIPTION ZP))
 (250556 249987 (:REWRITE DEFAULT-+-2))
 (249987 249987 (:REWRITE DEFAULT-+-1))
 (224597 224597 (:REWRITE DEFAULT-CDR))
 (80634 80634 (:REWRITE DEFAULT-CAR))
 (14592 14592 (:REWRITE FLAT::F-CHAIN-IS-<DEF=-CHAIN-F))
 (403 403 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(FLAT::LUB-F-CHAIN=UB-G-CHAIN
 (376997 374107 (:REWRITE DEFAULT-<-2))
 (374992 374107 (:REWRITE DEFAULT-<-1))
 (363446 363446 (:REWRITE FLAT::$BOTTOM$-BASED-CHAIN-I>0))
 (182934 182934 (:TYPE-PRESCRIPTION ZP))
 (100088 100053 (:REWRITE DEFAULT-+-2))
 (100053 100053 (:REWRITE DEFAULT-+-1))
 (34995 34995 (:REWRITE DEFAULT-CAR))
 (1882 1882 (:REWRITE FLAT::F-CHAIN-IS-<DEF=-CHAIN-F))
 (18 18 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(FLAT::F-DEF
 (1405 1403 (:REWRITE DEFAULT-<-1))
 (1403 1403 (:REWRITE DEFAULT-<-2))
 (1360 1360 (:REWRITE FLAT::$BOTTOM$-BASED-CHAIN-I>0))
 (648 648 (:TYPE-PRESCRIPTION ZP))
 (340 340 (:REWRITE DEFAULT-+-2))
 (340 340 (:REWRITE DEFAULT-+-1))
 (325 325 (:REWRITE DEFAULT-CDR))
 (127 127 (:REWRITE DEFAULT-CAR))
 (67 67 (:REWRITE FLAT::F-CHAIN-IS-<DEF=-CHAIN-F))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(FLAT::F=ASHCROFT-DEF
 (43 43 (:REWRITE DEFAULT-CDR))
 (13 13 (:REWRITE DEFAULT-CAR))
 )
