(* begin hide *)
-inline procedural "cic:/CoRN/ftc/FunctSeries/Definitions/I.con" "Definitions__".
+inline procedural "cic:/CoRN/ftc/FunctSeries/Definitions/I.con" "Definitions__" as definition.
(* end hide *)
alias id "f" = "cic:/CoRN/ftc/FunctSeries/Definitions/f.var".
-inline procedural "cic:/CoRN/ftc/FunctSeries/fun_seq_part_sum.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/fun_seq_part_sum.con" as definition.
-inline procedural "cic:/CoRN/ftc/FunctSeries/fun_seq_part_sum_cont.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/fun_seq_part_sum_cont.con" as lemma.
-inline procedural "cic:/CoRN/ftc/FunctSeries/fun_series_convergent.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/fun_series_convergent.con" as definition.
(*#*
For what comes up next we need to know that the convergence of a
real number series.
*)
-inline procedural "cic:/CoRN/ftc/FunctSeries/fun_series_conv_imp_conv.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/fun_series_conv_imp_conv.con" as lemma.
(*#* We then define the sum of the series as being the pointwise sum of
the corresponding series.
(* begin hide *)
-inline procedural "cic:/CoRN/ftc/FunctSeries/Definitions/contf.con" "Definitions__".
+inline procedural "cic:/CoRN/ftc/FunctSeries/Definitions/contf.con" "Definitions__" as definition.
-inline procedural "cic:/CoRN/ftc/FunctSeries/Definitions/incf.con" "Definitions__".
+inline procedural "cic:/CoRN/ftc/FunctSeries/Definitions/incf.con" "Definitions__" as definition.
(* end hide *)
-inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_strext.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_strext.con" as lemma.
-inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum.con" as definition.
(* UNEXPORTED
End Definitions
(*#* A series can also be absolutely convergent. *)
-inline procedural "cic:/CoRN/ftc/FunctSeries/fun_series_abs_convergent.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/fun_series_abs_convergent.con" as definition.
(* UNEXPORTED
End More_Definitions
(* begin hide *)
-inline procedural "cic:/CoRN/ftc/FunctSeries/Operations/I.con" "Operations__".
+inline procedural "cic:/CoRN/ftc/FunctSeries/Operations/I.con" "Operations__" as definition.
(* end hide *)
-inline procedural "cic:/CoRN/ftc/FunctSeries/fun_seq_part_sum_n.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/fun_seq_part_sum_n.con" as lemma.
-inline procedural "cic:/CoRN/ftc/FunctSeries/conv_fun_const_series.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/conv_fun_const_series.con" as lemma.
-inline procedural "cic:/CoRN/ftc/FunctSeries/fun_const_series_sum.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/fun_const_series_sum.con" as lemma.
-inline procedural "cic:/CoRN/ftc/FunctSeries/conv_zero_fun_series.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/conv_zero_fun_series.con" as lemma.
-inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_zero.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_zero.con" as lemma.
(* begin show *)
(* end show *)
-inline procedural "cic:/CoRN/ftc/FunctSeries/fun_series_convergent_wd.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/fun_series_convergent_wd.con" as lemma.
(* begin show *)
(* end show *)
-inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_wd'.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_wd'.con" as lemma.
-inline procedural "cic:/CoRN/ftc/FunctSeries/conv_fun_series_plus.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/conv_fun_series_plus.con" as lemma.
-inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_plus.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_plus.con" as lemma.
-inline procedural "cic:/CoRN/ftc/FunctSeries/conv_fun_series_minus.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/conv_fun_series_minus.con" as lemma.
-inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_min.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_min.con" as lemma.
(*#*
%\begin{convention}% Let [c:IR].
alias id "contH" = "cic:/CoRN/ftc/FunctSeries/Operations/contH.var".
-inline procedural "cic:/CoRN/ftc/FunctSeries/conv_fun_series_scal.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/conv_fun_series_scal.con" as lemma.
-inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_scal.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_scal.con" as lemma.
(* UNEXPORTED
End Operations
(* begin hide *)
-inline procedural "cic:/CoRN/ftc/FunctSeries/More_Operations/I.con" "More_Operations__".
+inline procedural "cic:/CoRN/ftc/FunctSeries/More_Operations/I.con" "More_Operations__" as definition.
(* end hide *)
alias id "convF" = "cic:/CoRN/ftc/FunctSeries/More_Operations/convF.var".
-inline procedural "cic:/CoRN/ftc/FunctSeries/conv_fun_series_inv.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/conv_fun_series_inv.con" as lemma.
-inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_inv.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_inv.con" as lemma.
(* UNEXPORTED
End More_Operations
series.
*)
-inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_char'.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_char'.con" as lemma.
-inline procedural "cic:/CoRN/ftc/FunctSeries/fun_series_conv.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/fun_series_conv.con" as lemma.
-inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_cont.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_cont.con" as lemma.
-inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_char.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_char.con" as lemma.
-inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_as_Lim.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_as_Lim.con" as lemma.
(* UNEXPORTED
End Other_Results
(* begin hide *)
-inline procedural "cic:/CoRN/ftc/FunctSeries/Convergence_Criteria/I.con" "Convergence_Criteria__".
+inline procedural "cic:/CoRN/ftc/FunctSeries/Convergence_Criteria/I.con" "Convergence_Criteria__" as definition.
(* end hide *)
Opaque fun_seq_part_sum.
*)
-inline procedural "cic:/CoRN/ftc/FunctSeries/fun_str_comparison.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/fun_str_comparison.con" as lemma.
(* UNEXPORTED
Transparent FAbs.
*)
-inline procedural "cic:/CoRN/ftc/FunctSeries/fun_comparison.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/fun_comparison.con" as lemma.
-inline procedural "cic:/CoRN/ftc/FunctSeries/abs_imp_conv.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/abs_imp_conv.con" as lemma.
(* UNEXPORTED
Opaque FAbs.
*)
-inline procedural "cic:/CoRN/ftc/FunctSeries/fun_ratio_test_conv.con".
+inline procedural "cic:/CoRN/ftc/FunctSeries/fun_ratio_test_conv.con" as lemma.
(* UNEXPORTED
End Convergence_Criteria