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(STOBJS::BOOLEANP-OF-NATP-FOR-INT-NAT-ALIST-P-VAL-LEMMA)
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(STOBJS::TRUE-LISTP-WHEN-INT-NAT-ALIST-P-COMPOUND-RECOGNIZER)
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(STOBJS::ALISTP-WHEN-INT-NAT-ALIST-P-REWRITE)
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 (20 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (6 2 (:DEFINITION MEMBER-EQUAL))
 (5 5 (:REWRITE DEFAULT-CAR))
 (4 4 (:TYPE-PRESCRIPTION ALIST-KEYS))
 (2 2 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2 2 (:REWRITE STOBJS::INT-NAT-ALIST-P-WHEN-NOT-CONSP))
 )
(STOBJS::INTNATHASHALLFIX-CLEAR{PRESERVED})
(STOBJS::INTNATHASHALLFIX-INIT{CORRESPONDENCE}
 (88 44 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (44 44 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (20 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (12 12 (:REWRITE DEFAULT-<-2))
 (12 12 (:REWRITE DEFAULT-<-1))
 (10 2 (:REWRITE MAYBE-NATP-WHEN-NATP))
 (6 2 (:DEFINITION NATP))
 (6 2 (:DEFINITION MEMBER-EQUAL))
 (5 5 (:REWRITE DEFAULT-CAR))
 (4 4 (:TYPE-PRESCRIPTION ALIST-KEYS))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2 2 (:REWRITE STOBJS::INT-NAT-ALIST-P-WHEN-NOT-CONSP))
 )
(STOBJS::INTNATHASHALLFIX-INIT{GUARD-THM}
 (20 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (10 2 (:REWRITE MAYBE-NATP-WHEN-NATP))
 (6 6 (:REWRITE DEFAULT-CDR))
 (6 2 (:DEFINITION NATP))
 (6 2 (:DEFINITION MEMBER-EQUAL))
 (5 5 (:REWRITE DEFAULT-CAR))
 (4 4 (:TYPE-PRESCRIPTION ALIST-KEYS))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2 2 (:REWRITE STOBJS::INT-NAT-ALIST-P-WHEN-NOT-CONSP))
 )
(STOBJS::INTNATHASHALLFIX-INIT{PRESERVED})
