# HG changeset patch # User huffman # Date 1231791041 28800 # Node ID 7c1841a7bdf4c33c04f4952b2b1c1462c6f57b58 # Parent ad87e5d1488bdb978a2a14dd406a44e3ee9c2a59 declare dvd_minus_iff and minus_dvd_iff [iff] diff -r ad87e5d1488b -r 7c1841a7bdf4 src/HOL/Ring_and_Field.thy --- a/src/HOL/Ring_and_Field.thy Mon Jan 12 12:09:54 2009 -0800 +++ b/src/HOL/Ring_and_Field.thy Mon Jan 12 12:10:41 2009 -0800 @@ -295,7 +295,7 @@ subclass ring_1 .. subclass comm_semiring_1_cancel .. -lemma dvd_minus_iff: "x dvd - y \ x dvd y" +lemma dvd_minus_iff [iff]: "x dvd - y \ x dvd y" proof assume "x dvd - y" then have "x dvd - 1 * - y" by (rule dvd_mult) @@ -306,7 +306,7 @@ then show "x dvd - y" by simp qed -lemma minus_dvd_iff: "- x dvd y \ x dvd y" +lemma minus_dvd_iff [iff]: "- x dvd y \ x dvd y" proof assume "- x dvd y" then obtain k where "y = - x * k" ..