src/HOL/Complex/NSComplexBin.ML
changeset 14318 7dbd3988b15b
parent 14123 b300efca4ae0
child 14320 fb7a114826be
equal deleted inserted replaced
14317:85125b18d38a 14318:7dbd3988b15b
   308 		    bin_pred_1, bin_pred_0, bin_pred_Pls, bin_pred_Min];
   308 		    bin_pred_1, bin_pred_0, bin_pred_Pls, bin_pred_Min];
   309 
   309 
   310 
   310 
   311 (*To let us treat subtraction as addition*)
   311 (*To let us treat subtraction as addition*)
   312 val diff_simps = [hcomplex_diff_def, hcomplex_minus_add_distrib, 
   312 val diff_simps = [hcomplex_diff_def, hcomplex_minus_add_distrib, 
   313                   hcomplex_minus_minus];
   313                   minus_minus];
   314 
   314 
   315 (*push the unary minus down: - x * y = x * - y *)
   315 (*push the unary minus down: - x * y = x * - y *)
   316 val hcomplex_minus_mult_eq_1_to_2 = 
   316 val hcomplex_minus_mult_eq_1_to_2 = 
   317     [hcomplex_minus_mult_eq1 RS sym, hcomplex_minus_mult_eq2] MRS trans 
   317     [hcomplex_minus_mult_eq1 RS sym, hcomplex_minus_mult_eq2] MRS trans 
   318     |> standard;
   318     |> standard;
   319 
   319 
   320 (*to extract again any uncancelled minuses*)
   320 (*to extract again any uncancelled minuses*)
   321 val hcomplex_minus_from_mult_simps = 
   321 val hcomplex_minus_from_mult_simps = 
   322     [hcomplex_minus_minus, hcomplex_minus_mult_eq1 RS sym, 
   322     [minus_minus, hcomplex_minus_mult_eq1 RS sym, 
   323      hcomplex_minus_mult_eq2 RS sym];
   323      hcomplex_minus_mult_eq2 RS sym];
   324 
   324 
   325 (*combine unary minus with numeric literals, however nested within a product*)
   325 (*combine unary minus with numeric literals, however nested within a product*)
   326 val hcomplex_mult_minus_simps =
   326 val hcomplex_mult_minus_simps =
   327     [hcomplex_mult_assoc, hcomplex_minus_mult_eq1, hcomplex_minus_mult_eq_1_to_2];
   327     [hcomplex_mult_assoc, hcomplex_minus_mult_eq1, hcomplex_minus_mult_eq_1_to_2];