(* Title: HOL/Matrix_LP/Cplex.thy* Author: Steven Obua theory Cplex imports SparseMatrix LP ComputeFloat ComputeNumeralbegin \<open>Cplex_tools.ML\<close> \<open>CplexMatrixConverter.ML\<close> \<open>FloatSparseMatrixBuilder.ML\<close> \<open>fspmlp.ML\<close> 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 \ A" "A \ sparse_row_matrix A2" "sparse_row_matrix r1 \ x" "x \ sparse_row_matrix r2" "A * x \ sparse_row_matrix (b::('a::lattice_ring) spmat)" shows add)" * let =diff_spmat (ult_spmatyA2) 2 c2 y A1 apply simp: algebra_simps" apply (simp add: Let_def)apply (insert assms)apply done apply (autojava.lang.StringIndexOutOfBoundsException: Index 27 out of bounds for length 27done assumes " "sorted_sparse_matrix c1" \<open>matrixlp.ML\<close> "sorted_sparse_matrix r2" "sorted_spvec b" "le_spmat [] y" "sparse_row_matrix A1 \ A" "A \ sparse_row_matrix A2" "sparse_row_matrix c1 \ c" "c \ sparse_row_matrix c2" "sparse_row_matrix r1 \ x" "x \ sparse_row_matrix r2" "A * x \ sparse_row_matrix (b::('a::lattice_ring) spmat)" shows "c * x \ sparse_row_matrix (add_spmat (mult_spmat y b) " by (simp add: assms mult_est_spmat_def spm_mult_le_dual_prts[where A=A, simplified Let_def])\<open>matrixlp.ML\<close> end quality 93%
tyle='color:blue'>"A * x \ sparse_row_matrix (b::('a::lattice_ring) spmat)" "c * x \ sparse_row_matrix (add_spmat (mult_spmat y b)lemma spm_mult_le_dual_prts_no_let:
( r1 r2diff_spmat (ult_spmat) diff_spmat (mult_spmatyA1))
by (simp
" A2"
ML_file
end " y"
quality 93%
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