author | haftmann |
Wed, 28 Jan 2009 11:02:12 +0100 | |
changeset 29653 | ece6a0e9f8af |
parent 29652 | f4c6e546b7fe |
child 29654 | 24e73987bfe2 |
--- a/src/HOL/Ring_and_Field.thy Wed Jan 28 11:02:12 2009 +0100 +++ b/src/HOL/Ring_and_Field.thy Wed Jan 28 11:02:12 2009 +0100 @@ -1091,6 +1091,9 @@ "sgn (a * b) = sgn a * sgn b" by (auto simp add: sgn_if zero_less_mult_iff) +lemma abs_sgn: "abs k = k * sgn k" + unfolding sgn_if abs_if by auto + end class ordered_field = field + ordered_idom