(FIB-LIMIT
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(LIM)
(NATP-LIM)
(FIB-LIMIT2
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(FIB-LIMIT2-IS-FIB-LIMIT
 (113 87 (:REWRITE DEFAULT-+-1))
 (111 87 (:REWRITE DEFAULT-+-2))
 (85 15 (:REWRITE ZP-OPEN))
 (32 18 (:REWRITE FOLD-CONSTS-IN-+))
 (31 21 (:REWRITE DEFAULT-<-2))
 (21 21 (:REWRITE DEFAULT-<-1))
 )
(FIB-FACT-LEMMA-1)
(FIB-FACT-LEMMA-2
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:TYPE-PRESCRIPTION NATP-LIM))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(FIB-FACT-LEMMA-3
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(FIB-FACT
 (4 4 (:REWRITE DEFAULT-+-2))
 (4 4 (:REWRITE DEFAULT-+-1))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 )
