--- a/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thy Tue Feb 23 15:37:18 2016 +0100
+++ b/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thy Tue Feb 23 16:25:08 2016 +0100
@@ -3467,7 +3467,7 @@
by (auto intro!: exI[of _ "(a + b) / 2"] simp: box_def)
then show ?thesis
using interior_rel_interior_gen[of "cbox a b", symmetric]
- by (simp split: split_if_asm del: box_real add: box_real[symmetric] interior_cbox)
+ by (simp split: if_split_asm del: box_real add: box_real[symmetric] interior_cbox)
qed
lemma rel_interior_real_semiline:
@@ -3477,7 +3477,7 @@
have *: "{a<..} \<noteq> {}"
unfolding set_eq_iff by (auto intro!: exI[of _ "a + 1"])
then show ?thesis using interior_real_semiline interior_rel_interior_gen[of "{a..}"]
- by (auto split: split_if_asm)
+ by (auto split: if_split_asm)
qed
subsubsection \<open>Relative open sets\<close>
@@ -6576,7 +6576,7 @@
shows "norm (x - a) < norm (b - a)"
proof -
obtain u where "x = (1 - u) *\<^sub>R a + u *\<^sub>R b" "0 < u" "u < 1" "a \<noteq> b"
- using assms by (auto simp add: open_segment_eq split: split_if_asm)
+ using assms by (auto simp add: open_segment_eq split: if_split_asm)
then show "norm (x - a) < norm (b - a)"
apply clarify
apply (auto simp: algebra_simps)