(H)
(APPLYN
 (18 18 (:TYPE-PRESCRIPTION |x < y  =>  0 < -x+y|))
 )
(APPLYTEN)
(ALPHA-IMAGE)
(BETA-IMAGE)
(BETA-OF-ALPHA)
(ALPHA-OF-BETA)
(DOMA-GUARD)
(DOMB-GUARD)
(ALPHA-GUARD)
(BETA-GUARD)
(APT::DEFISO-IDENTITY-ALPHA-IMAGE)
(APT::DEFISO-IDENTITY-BETA-IMAGE)
(APT::DEFISO-IDENTITY-BETA-OF-ALPHA)
(APT::DEFISO-IDENTITY-ALPHA-OF-BETA)
(APT::DEFISO-IDENTITY-DOMA-GUARD)
(APT::DEFISO-IDENTITY-DOMB-GUARD)
(APT::DEFISO-IDENTITY-ALPHA-GUARD)
(APT::DEFISO-IDENTITY-BETA-GUARD)
(APT::DEFISO-IDENTITY-ALPHA-INJECTIVE)
(APT::DEFISO-IDENTITY-BETA-INJECTIVE)
(ALPHA-IMAGE
 (32 32 (:TYPE-PRESCRIPTION |x < y  =>  0 < y-x|))
 (3 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(BETA-IMAGE
 (32 32 (:TYPE-PRESCRIPTION |x < y  =>  0 < y-x|))
 (3 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(BETA-OF-ALPHA
 (1 1 (:REWRITE NATP-RW))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 )
(ALPHA-OF-BETA
 (1 1 (:REWRITE NATP-RW))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 )
(DOMA-GUARD)
(DOMB-GUARD)
(ALPHA-GUARD)
(BETA-GUARD)
(DEFISO-ISODATA-APPLYN-1-ALPHA-IMAGE
 (2 2 (:TYPE-PRESCRIPTION |x < y  =>  0 < y-x|))
 )
(DEFISO-ISODATA-APPLYN-1-BETA-IMAGE
 (2 2 (:TYPE-PRESCRIPTION |x < y  =>  0 < y-x|))
 )
(DEFISO-ISODATA-APPLYN-1-BETA-OF-ALPHA)
(DEFISO-ISODATA-APPLYN-1-ALPHA-OF-BETA)
(DEFISO-ISODATA-APPLYN-1-DOMA-GUARD)
(DEFISO-ISODATA-APPLYN-1-DOMB-GUARD)
(DEFISO-ISODATA-APPLYN-1-ALPHA-GUARD)
(DEFISO-ISODATA-APPLYN-1-BETA-GUARD)
(DEFISO-ISODATA-APPLYN-1-ALPHA-INJECTIVE)
(DEFISO-ISODATA-APPLYN-1-BETA-INJECTIVE)
(OLDP-OF-REC-CALL-ARGS
 (47 47 (:TYPE-PRESCRIPTION |x < y  =>  0 < -x+y|))
 (3 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(OLD-GUARD)
(APPLYN$NOT-NORMALIZED)
(APPLYN0
 (3 3 (:TYPE-PRESCRIPTION |x < y  =>  0 < -x+y|))
 )
(APPLYN0$NOT-NORMALIZED)
(APPLYN0-TO-APPLYN)
(APPLYN-TO-APPLYN0)
(APPLYN0
 (22 22 (:TYPE-PRESCRIPTION |x < y  =>  0 < -x+y|))
 )
(APPLYN0$NOT-NORMALIZED)
(APPLYN1
 (163 126 (:REWRITE DEFAULT-<-2))
 (134 115 (:REWRITE DEFAULT-+-2))
 (130 126 (:REWRITE DEFAULT-<-1))
 (125 79 (:REWRITE DEFAULT-UNARY-MINUS))
 (115 115 (:REWRITE DEFAULT-+-1))
 (59 59 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(APPLYN0-BEFORE-VS-AFTER-0
 (2 2 (:REWRITE NATP-RW))
 )
(APPLYN1-COPY)
(APPLYN1-COPY-DEF)
(APPLYN1-IS-APPLYN1-COPY)
(APPLYN0-BECOMES-APPLYN1-LEMMA)
(APPLYN0-BECOMES-APPLYN1)
(APPLYTEN$NOT-NORMALIZED)
(APPLYTEN1)
(APPLYTEN-BEFORE-VS-AFTER-0)
(APPLYTEN1-COPY)
(APPLYTEN1-COPY-DEF)
(APPLYTEN1-IS-APPLYTEN1-COPY)
(APPLYTEN-BECOMES-APPLYTEN1-LEMMA)
(APPLYTEN-BECOMES-APPLYTEN1)
