equal
deleted
inserted
replaced
983 by (simp add: NSCDERIV_CDERIV_iff isNSContc_isContc_iff CARAT_CDERIV) |
983 by (simp add: NSCDERIV_CDERIV_iff isNSContc_isContc_iff CARAT_CDERIV) |
984 |
984 |
985 lemma CARAT_CDERIVD: |
985 lemma CARAT_CDERIVD: |
986 "(\<forall>z. f z - f x = g z * (z - x)) & isNSContc g x & g x = l |
986 "(\<forall>z. f z - f x = g z * (z - x)) & isNSContc g x & g x = l |
987 ==> NSCDERIV f x :> l" |
987 ==> NSCDERIV f x :> l" |
988 by (auto simp add: NSCDERIV_iff2 isNSContc_def cstarfun_if_eq); |
988 by (auto simp add: NSCDERIV_iff2 isNSContc_def starfun_if_eq); |
989 |
989 |
990 end |
990 end |