src/HOL/Multivariate_Analysis/Polytope.thy
changeset 63170 eae6549dbea2
parent 63148 6a767355d1a9
child 63265 9a2377b96ffd
--- a/src/HOL/Multivariate_Analysis/Polytope.thy	Fri May 27 20:13:06 2016 +0200
+++ b/src/HOL/Multivariate_Analysis/Polytope.thy	Fri May 27 20:23:55 2016 +0200
@@ -1859,7 +1859,7 @@
           with faceq [OF that] show ?thesis by simp
         qed
         moreover have "(1 - T) *\<^sub>R w + T *\<^sub>R y \<in> affine hull S"
-          apply (rule affine_affine_hull [unfolded affine_alt, rule_format])
+          apply (rule affine_affine_hull [simplified affine_alt, rule_format])
           apply (simp add: \<open>w \<in> affine hull S\<close>)
           using yaff apply blast
           done
@@ -1874,7 +1874,7 @@
         have yeq: "y = (1 - inverse T) *\<^sub>R w + c /\<^sub>R T"
           using \<open>0 < T\<close> by (simp add: c_def algebra_simps)
         show "y \<in> affine hull (S \<inter> {y. a h \<bullet> y = b h})"
-          by (metis yeq affine_affine_hull [unfolded affine_alt, rule_format, OF waff caff])
+          by (metis yeq affine_affine_hull [simplified affine_alt, rule_format, OF waff caff])
       qed
     qed
     ultimately show ?thesis