merged
authorpaulson
Wed, 22 Feb 2023 22:01:26 +0000
changeset 77352 c6e2c7887d47
parent 77350 c1c6f895d9ec (current diff)
parent 77351 a03bb622517c (diff)
child 77353 42accfbf4d85
child 77357 e65d8ee80811
merged
--- a/src/HOL/Int.thy	Wed Feb 22 21:40:32 2023 +0100
+++ b/src/HOL/Int.thy	Wed Feb 22 22:01:26 2023 +0000
@@ -1754,6 +1754,9 @@
 lemma power_int_minus: "power_int (x::'a) (-n) = inverse (power_int x n)"
   by (auto simp: power_int_def power_inverse)
 
+lemma power_int_minus_divide: "power_int (x::'a) (-n) = 1 / (power_int x n)"
+  by (simp add: divide_inverse power_int_minus)
+
 lemma power_int_eq_0_iff [simp]: "power_int (x::'a) n = 0 \<longleftrightarrow> x = 0 \<and> n \<noteq> 0"
   by (auto simp: power_int_def)