(* Title:  collecting all knowledge for Root and Rational

    Author: Richard Lang 02.10 last change by: rlang date: 02.10.20

    (c) due to copyright terms

 *)

 theory RootRat imports Root Rational begin

 ML \<open>

 val thy = @{theory};

 val rootrat_erls = 

   Rule_Set.merge "rootrat_erls" Root_erls

     (Rule_Set.merge "" rational_erls

       (Rule_Set.append_rules "" Rule_Set.empty []));

 (*.calculate numeral groundterms.*)

 val calculate_RootRat = 

   Rule_Set.append_rules "calculate_RootRat" calculate_Rational

 	    [Rule.Thm ("distrib_left",ThmC.numerals_to_Free @{thm distrib_left}),

 		      (* w*(z1.0 + z2.0) = w * z1.0 + w * z2.0 *)

 		     Rule.Thm ("mult_1_left",ThmC.numerals_to_Free @{thm mult_1_left}),

 		      (* 1 * z = z *)

 		     Rule.Thm ("sym_real_mult_minus1",ThmC.numerals_to_Free (@{thm real_mult_minus1} RS @{thm sym})),

 		       (* "- z1 = -1 * z1"  *)

 		     Rule.Eval ("NthRoot.sqrt", eval_sqrt "#sqrt_")

 		     ];

 val prep_rls' = Auto_Prog.prep_rls @{theory};

 \<close>

 setup_rule

   rootrat_erls = \<open>prep_rls' rootrat_erls\<close> and

   calculate_RootRat = \<open>prep_rls' calculate_RootRat\<close>

 ML \<open>

 \<close> ML \<open>

 \<close> ML \<open>

 \<close>

 end