--- a/src/HOL/Matrix/Matrix.thy Sat Mar 17 11:59:59 2012 +0100
+++ b/src/HOL/Matrix/Matrix.thy Sat Mar 17 12:00:11 2012 +0100
@@ -64,7 +64,7 @@
lemma transpose_infmatrix: "transpose_infmatrix (% j i. P j i) = (% j i. P i j)"
apply (rule ext)+
- by (simp add: transpose_infmatrix_def)
+ by simp
lemma transpose_infmatrix_closed[simp]: "Rep_matrix (Abs_matrix (transpose_infmatrix (Rep_matrix x))) = transpose_infmatrix (Rep_matrix x)"
apply (rule Abs_matrix_inverse)
@@ -836,7 +836,7 @@
by (simp add: zero_matrix_def)
lemma transpose_matrix_zero[simp]: "transpose_matrix 0 = 0"
-apply (simp add: transpose_matrix_def transpose_infmatrix_def zero_matrix_def RepAbs_matrix)
+apply (simp add: transpose_matrix_def zero_matrix_def RepAbs_matrix)
apply (subst Rep_matrix_inject[symmetric], (rule ext)+)
apply (simp add: RepAbs_matrix)
done
@@ -1464,7 +1464,7 @@
definition "sup = combine_matrix sup"
instance
- by default (auto simp add: inf_le1 inf_le2 le_infI le_matrix_def inf_matrix_def sup_matrix_def)
+ by default (auto simp add: le_infI le_matrix_def inf_matrix_def sup_matrix_def)
end