# HG changeset patch # User haftmann # Date 1187695836 -7200 # Node ID c215e256becadd305a8de2dc8183bfde89000d60 # Parent 823ffe1fdf6733f99540d77349f1ffef60803ab2 moved ordered_ab_semigroup_add to OrderedGroup.thy diff -r 823ffe1fdf67 -r c215e256beca src/HOL/Finite_Set.thy --- a/src/HOL/Finite_Set.thy Tue Aug 21 09:07:04 2007 +0200 +++ b/src/HOL/Finite_Set.thy Tue Aug 21 13:30:36 2007 +0200 @@ -2653,7 +2653,7 @@ end -class linordered_ab_semigroup_add = linorder + pordered_ab_semigroup_add +context ordered_ab_semigroup_add begin lemma add_Min_commute: diff -r 823ffe1fdf67 -r c215e256beca src/HOL/OrderedGroup.thy --- a/src/HOL/OrderedGroup.thy Tue Aug 21 09:07:04 2007 +0200 +++ b/src/HOL/OrderedGroup.thy Tue Aug 21 13:30:36 2007 +0200 @@ -235,7 +235,13 @@ thus "a \ b" by simp qed -class ordered_cancel_ab_semigroup_add = pordered_cancel_ab_semigroup_add + linorder +class ordered_ab_semigroup_add = + linorder + pordered_ab_semigroup_add + +class ordered_cancel_ab_semigroup_add = + linorder + pordered_cancel_ab_semigroup_add + +instance ordered_cancel_ab_semigroup_add \ ordered_ab_semigroup_add .. instance ordered_cancel_ab_semigroup_add \ pordered_ab_semigroup_add_imp_le proof @@ -1049,7 +1055,7 @@ diff_less_eq less_diff_eq diff_le_eq le_diff_eq lemma estimate_by_abs: -"a + b <= (c::'a::lordered_ab_group_abs) \ a <= c + abs b" + "a + b <= (c::'a::lordered_ab_group_abs) \ a <= c + abs b" proof - assume "a+b <= c" hence 2: "a <= c+(-b)" by (simp add: group_simps) @@ -1061,12 +1067,9 @@ subsection {* Tools setup *} text{*Simplification of @{term "x-y < 0"}, etc.*} -lemmas diff_less_0_iff_less = less_iff_diff_less_0 [symmetric] -lemmas diff_eq_0_iff_eq = eq_iff_diff_eq_0 [symmetric] -lemmas diff_le_0_iff_le = le_iff_diff_le_0 [symmetric] -declare diff_less_0_iff_less [simp] -declare diff_eq_0_iff_eq [simp,noatp] -declare diff_le_0_iff_le [simp] +lemmas diff_less_0_iff_less [simp] = less_iff_diff_less_0 [symmetric] +lemmas diff_eq_0_iff_eq [simp, noatp] = eq_iff_diff_eq_0 [symmetric] +lemmas diff_le_0_iff_le [simp] = le_iff_diff_le_0 [symmetric] ML {* structure ab_group_add_cancel = Abel_Cancel(