src/HOL/Analysis/Set_Integral.thy
changeset 68403 223172b97d0b
parent 68046 6aba668aea78
child 68721 53ad5c01be3f
--- a/src/HOL/Analysis/Set_Integral.thy	Wed Jun 06 13:04:52 2018 +0200
+++ b/src/HOL/Analysis/Set_Integral.thy	Wed Jun 06 18:19:55 2018 +0200
@@ -869,7 +869,7 @@
     2 * (\<integral>\<^sup>+x. norm(f x) \<partial>M)" by simp
 
   have le: "ennreal (norm (F n x - f x)) \<le> ennreal (norm (f x)) + ennreal (norm (F n x))" for n x
-    by (simp add: norm_minus_commute norm_triangle_ineq4 ennreal_minus reorient: ennreal_plus)
+    by (simp add: norm_minus_commute norm_triangle_ineq4 ennreal_minus flip: ennreal_plus)
   then have le2: "(\<integral>\<^sup>+ x. ennreal (norm (F n x - f x)) \<partial>M) \<le> (\<integral>\<^sup>+ x. ennreal (norm (f x)) + ennreal (norm (F n x)) \<partial>M)" for n
     by (rule nn_integral_mono)
 
@@ -882,7 +882,7 @@
   proof (intro arg_cong[where f=liminf] ext)
     fix n
     have "\<And>x. ennreal(G n x) = ennreal(norm(f x)) + ennreal(norm(F n x)) - ennreal(norm(F n x - f x))"
-      unfolding G_def by (simp add: ennreal_minus reorient: ennreal_plus)
+      unfolding G_def by (simp add: ennreal_minus flip: ennreal_plus)
     moreover have "(\<integral>\<^sup>+x. ennreal(norm(f x)) + ennreal(norm(F n x)) - ennreal(norm(F n x - f x)) \<partial>M)
             = (\<integral>\<^sup>+x. ennreal(norm(f x)) + ennreal(norm(F n x)) \<partial>M) - (\<integral>\<^sup>+x. norm(F n x - f x) \<partial>M)"
     proof (rule nn_integral_diff)