--- a/src/HOL/Matrix/MatrixGeneral.thy Thu Jul 28 15:19:47 2005 +0200
+++ b/src/HOL/Matrix/MatrixGeneral.thy Thu Jul 28 15:19:48 2005 +0200
@@ -1058,7 +1058,7 @@
apply (induct n)
apply (simp add: foldmatrix_def foldmatrix_transposed_def prems)+
apply (auto)
- by (drule_tac x3="(% j i. A j (Suc i))" in forall, simp)
+ by (drule_tac x="(% j i. A j (Suc i))" in forall, simp)
show "foldmatrix f g A m n = foldmatrix_transposed g f (transpose_infmatrix A) n m"
apply (simp add: foldmatrix_def foldmatrix_transposed_def)
apply (induct m, simp)
--- a/src/HOLCF/Up.thy Thu Jul 28 15:19:47 2005 +0200
+++ b/src/HOLCF/Up.thy Thu Jul 28 15:19:48 2005 +0200
@@ -114,7 +114,7 @@
lemma up_lemma6:
"\<lbrakk>chain Y; Y j \<noteq> Ibottom\<rbrakk>
\<Longrightarrow> range Y <<| Iup (\<Squnion>i. THE a. Iup a = Y(i + j))"
-apply (rule_tac j1="j" in is_lub_range_shift [THEN iffD1])
+apply (rule_tac j1 = j in is_lub_range_shift [THEN iffD1])
apply assumption
apply (subst up_lemma5, assumption+)
apply (rule is_lub_Iup)