src/HOL/Complex/CLim.thy
changeset 20732 275f9bd2ead9
parent 20659 66b8455090b8
child 20752 09cf0e407a45
equal deleted inserted replaced
20731:2ef8b7332b4f 20732:275f9bd2ead9
   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