--- a/src/HOL/Complex/ex/ASeries_Complex.thy Fri Apr 07 11:17:44 2006 +0200
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,24 +0,0 @@
-(* Title: HOL/Library/ASeries.thy
- ID: $Id$
- Author: Benjamin Porter, 2006
-*)
-
-
-header {* Arithmetic Series for Reals *}
-
-theory ASeries_Complex
-imports Complex_Main ASeries
-begin
-
-lemma arith_series_real:
- "(2::real) * (\<Sum>i\<in>{..<n}. a + of_nat i * d) =
- of_nat n * (a + (a + of_nat(n - 1)*d))"
-proof -
- have
- "((1::real) + 1) * (\<Sum>i\<in>{..<n}. a + of_nat(i)*d) =
- of_nat(n) * (a + (a + of_nat(n - 1)*d))"
- by (rule arith_series_general)
- thus ?thesis by simp
-qed
-
-end
--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/Complex/ex/Arithmetic_Series_Complex.thy Fri Apr 07 12:48:10 2006 +0200
@@ -0,0 +1,24 @@
+(* Title: HOL/Complex/ex/Arithmetic_Series_Complex
+ ID: $Id$
+ Author: Benjamin Porter, 2006
+*)
+
+
+header {* Arithmetic Series for Reals *}
+
+theory Arithmetic_Series_Complex
+imports Complex_Main Arithmetic_Series
+begin
+
+lemma arith_series_real:
+ "(2::real) * (\<Sum>i\<in>{..<n}. a + of_nat i * d) =
+ of_nat n * (a + (a + of_nat(n - 1)*d))"
+proof -
+ have
+ "((1::real) + 1) * (\<Sum>i\<in>{..<n}. a + of_nat(i)*d) =
+ of_nat(n) * (a + (a + of_nat(n - 1)*d))"
+ by (rule arith_series_general)
+ thus ?thesis by simp
+qed
+
+end
--- a/src/HOL/Complex/ex/ROOT.ML Fri Apr 07 11:17:44 2006 +0200
+++ b/src/HOL/Complex/ex/ROOT.ML Fri Apr 07 12:48:10 2006 +0200
@@ -15,8 +15,8 @@
no_document use_thy "BigO";
use_thy "BigO_Complex";
-no_document use_thy "ASeries";
-use_thy "ASeries_Complex";
+no_document use_thy "Arithmetic_Series";
+use_thy "Arithmetic_Series_Complex";
use_thy "HarmonicSeries";
no_document use_thy "NatPair";