src/HOL/Nonstandard_Analysis/CLim.thy
changeset 70228 2d5b122aa0ff
parent 69597 ff784d5a5bfb
child 70723 4e39d87c9737
equal deleted inserted replaced
70227:ce9134bdc1d4 70228:2d5b122aa0ff
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   100 subsection \<open>Continuity\<close>
   100 subsection \<open>Continuity\<close>
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   102 lemma NSLIM_isContc_iff: "f \<midarrow>a\<rightarrow>\<^sub>N\<^sub>S f a \<longleftrightarrow> (\<lambda>h. f (a + h)) \<midarrow>0\<rightarrow>\<^sub>N\<^sub>S f a"
   102 lemma NSLIM_isContc_iff: "f \<midarrow>a\<rightarrow>\<^sub>N\<^sub>S f a \<longleftrightarrow> (\<lambda>h. f (a + h)) \<midarrow>0\<rightarrow>\<^sub>N\<^sub>S f a"
   103   by (rule NSLIM_h_iff)
   103   by (rule NSLIM_at0_iff)
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   106 subsection \<open>Functions from Complex to Reals\<close>
   106 subsection \<open>Functions from Complex to Reals\<close>
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   108 lemma isNSContCR_cmod [simp]: "isNSCont cmod a"
   108 lemma isNSContCR_cmod [simp]: "isNSCont cmod a"