# HG changeset patch # User paulson # Date 1677103286 0 # Node ID c6e2c7887d4700f2ca1561832a4ab7956ea7e48f # Parent c1c6f895d9ec501dd60ffbec4185a60d6087a5f9# Parent a03bb622517c15f0b027dce1ec4cde841502f7fa merged diff -r c1c6f895d9ec -r c6e2c7887d47 src/HOL/Int.thy --- 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 \ x = 0 \ n \ 0" by (auto simp: power_int_def)