
diff -r 15ce93dfe6da -r 9f492f5b0cec src/HOL/Matrix/Cplex.thy
--- a/src/HOL/Matrix/Cplex.thy	Sat Mar 17 12:26:19 2012 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,67 +0,0 @@
-(*  Title:      HOL/Matrix/Cplex.thy
-    Author:     Steven Obua
-*)
-
-theory Cplex 
-imports SparseMatrix LP ComputeFloat ComputeNumeral
-uses "Cplex_tools.ML" "CplexMatrixConverter.ML" "FloatSparseMatrixBuilder.ML"
-  "fspmlp.ML" ("matrixlp.ML")
-begin
-
-lemma spm_mult_le_dual_prts: 
-  assumes
-  "sorted_sparse_matrix A1"
-  "sorted_sparse_matrix A2"
-  "sorted_sparse_matrix c1"
-  "sorted_sparse_matrix c2"
-  "sorted_sparse_matrix y"
-  "sorted_sparse_matrix r1"
-  "sorted_sparse_matrix r2"
-  "sorted_spvec b"
-  "le_spmat [] y"
-  "sparse_row_matrix A1 \<le> A"
-  "A \<le> sparse_row_matrix A2"
-  "sparse_row_matrix c1 \<le> c"
-  "c \<le> sparse_row_matrix c2"
-  "sparse_row_matrix r1 \<le> x"
-  "x \<le> sparse_row_matrix r2"
-  "A * x \<le> sparse_row_matrix (b::('a::lattice_ring) spmat)"
-  shows
-  "c * x \<le> sparse_row_matrix (add_spmat (mult_spmat y b)
-  (let s1 = diff_spmat c1 (mult_spmat y A2); s2 = diff_spmat c2 (mult_spmat y A1) in 
-  add_spmat (mult_spmat (pprt_spmat s2) (pprt_spmat r2)) (add_spmat (mult_spmat (pprt_spmat s1) (nprt_spmat r2)) 
-  (add_spmat (mult_spmat (nprt_spmat s2) (pprt_spmat r1)) (mult_spmat (nprt_spmat s1) (nprt_spmat r1))))))"
-  apply (simp add: Let_def)
-  apply (insert assms)
-  apply (simp add: sparse_row_matrix_op_simps algebra_simps)  
-  apply (rule mult_le_dual_prts[where A=A, simplified Let_def algebra_simps])
-  apply (auto)
-  done
-
-lemma spm_mult_le_dual_prts_no_let: 
-  assumes
-  "sorted_sparse_matrix A1"
-  "sorted_sparse_matrix A2"
-  "sorted_sparse_matrix c1"
-  "sorted_sparse_matrix c2"
-  "sorted_sparse_matrix y"
-  "sorted_sparse_matrix r1"
-  "sorted_sparse_matrix r2"
-  "sorted_spvec b"
-  "le_spmat [] y"
-  "sparse_row_matrix A1 \<le> A"
-  "A \<le> sparse_row_matrix A2"
-  "sparse_row_matrix c1 \<le> c"
-  "c \<le> sparse_row_matrix c2"
-  "sparse_row_matrix r1 \<le> x"
-  "x \<le> sparse_row_matrix r2"
-  "A * x \<le> sparse_row_matrix (b::('a::lattice_ring) spmat)"
-  shows
-  "c * x \<le> sparse_row_matrix (add_spmat (mult_spmat y b)
-  (mult_est_spmat r1 r2 (diff_spmat c1 (mult_spmat y A2)) (diff_spmat c2 (mult_spmat y A1))))"
-  by (simp add: assms mult_est_spmat_def spm_mult_le_dual_prts[where A=A, simplified Let_def])
-
-use "matrixlp.ML"
-
-end
-




