--- a/src/HOL/Integ/Parity.thy Tue Aug 16 15:36:28 2005 +0200
+++ b/src/HOL/Integ/Parity.thy Tue Aug 16 18:53:11 2005 +0200
@@ -367,14 +367,35 @@
(* Simplify, when the exponent is a numeral *)
-declare power_0_left [of "number_of w", standard, simp]
-declare zero_le_power_eq [of _ "number_of w", standard, simp]
-declare zero_less_power_eq [of _ "number_of w", standard, simp]
-declare power_le_zero_eq [of _ "number_of w", standard, simp]
-declare power_less_zero_eq [of _ "number_of w", standard, simp]
-declare zero_less_power_nat_eq [of _ "number_of w", standard, simp]
-declare power_eq_0_iff [of _ "number_of w", standard, simp]
-declare power_even_abs [of "number_of w" _, standard, simp]
+lemmas power_0_left_number_of = power_0_left [of "number_of w", standard]
+declare power_0_left_number_of [simp]
+
+lemmas zero_le_power_eq_number_of =
+ zero_le_power_eq [of _ "number_of w", standard]
+declare zero_le_power_eq_number_of [simp]
+
+lemmas zero_less_power_eq_number_of =
+ zero_less_power_eq [of _ "number_of w", standard]
+declare zero_less_power_eq_number_of [simp]
+
+lemmas power_le_zero_eq_number_of =
+ power_le_zero_eq [of _ "number_of w", standard]
+declare power_le_zero_eq_number_of [simp]
+
+lemmas power_less_zero_eq_number_of =
+ power_less_zero_eq [of _ "number_of w", standard]
+declare power_less_zero_eq_number_of [simp]
+
+lemmas zero_less_power_nat_eq_number_of =
+ zero_less_power_nat_eq [of _ "number_of w", standard]
+declare zero_less_power_nat_eq_number_of [simp]
+
+lemmas power_eq_0_iff_number_of = power_eq_0_iff [of _ "number_of w", standard]
+declare power_eq_0_iff_number_of [simp]
+
+lemmas power_even_abs_number_of = power_even_abs [of "number_of w" _, standard]
+declare power_even_abs_number_of [simp]
+
subsection {* An Equivalence for @{term "0 \<le> a^n"} *}