+ DisambiguateChoices.add_num_choice
+ ("binary positive number",
+ (fun _ num _ ->
+ let num = int_of_string num in
+ if num = 0 then
+ raise DisambiguateChoices.Invalid_choice
+ else
+ HelmLibraryObjects.build_bin_pos num));
+ DisambiguateChoices.add_num_choice
+ ("binary integer number",
+ (fun _ num _ ->
+ let num = int_of_string num in
+ if num = 0 then
+ HelmLibraryObjects.BinInt.z0
+ else if num > 0 then
+ Cic.Appl [
+ HelmLibraryObjects.BinInt.zpos;
+ HelmLibraryObjects.build_bin_pos num ]
+ else
+ assert false));
+
+ DisambiguateChoices.add_binary_op "plus" "natural plus"
+ HelmLibraryObjects.Peano.plus;
+ DisambiguateChoices.add_binary_op "plus" "real plus"
+ HelmLibraryObjects.Reals.rplus;
+ DisambiguateChoices.add_binary_op "plus" "binary integer plus"
+ HelmLibraryObjects.BinInt.zplus;
+ DisambiguateChoices.add_binary_op "plus" "binary positive plus"
+ HelmLibraryObjects.BinPos.pplus;
+ DisambiguateChoices.add_binary_op "minus" "natural minus"
+ (const HelmLibraryObjects.Peano.minus_URI);
+ DisambiguateChoices.add_binary_op "minus" "real minus"
+ (const HelmLibraryObjects.Reals.rminus_URI);
+ DisambiguateChoices.add_binary_op "minus" "binary integer minus"
+ HelmLibraryObjects.BinInt.zminus;
+ DisambiguateChoices.add_binary_op "minus" "binary positive minus"
+ HelmLibraryObjects.BinPos.pminus;
+ DisambiguateChoices.add_binary_op "times" "natural times"
+ (const HelmLibraryObjects.Peano.mult_URI);
+ DisambiguateChoices.add_binary_op "times" "real times"
+ (const HelmLibraryObjects.Reals.rmult_URI);
+ DisambiguateChoices.add_binary_op "times" "binary positive times"
+ HelmLibraryObjects.BinPos.pmult;
+ DisambiguateChoices.add_binary_op "times" "binary integer times"
+ HelmLibraryObjects.BinInt.zmult;
+ DisambiguateChoices.add_binary_op "power" "real power"
+ (const HelmLibraryObjects.Reals.pow_URI);
+ DisambiguateChoices.add_binary_op "power" "integer power"
+ (const HelmLibraryObjects.BinInt.zpower_URI);
+ DisambiguateChoices.add_binary_op "divide" "real divide"
+ (const HelmLibraryObjects.Reals.rdiv_URI);
+ DisambiguateChoices.add_unary_op "uminus" "real unary minus"
+ (const HelmLibraryObjects.Reals.ropp_URI);
+ DisambiguateChoices.add_unary_op "uminus" "binary integer negative sign"
+ (HelmLibraryObjects.BinInt.zneg);
+ DisambiguateChoices.add_unary_op "uminus" "binary integer unary minus"
+ (HelmLibraryObjects.BinInt.zopp);
+
+ DisambiguateChoices.add_binary_op "leq" "natural 'less or equal to'"
+ (mutind HelmLibraryObjects.Peano.le_URI);
+ DisambiguateChoices.add_binary_op "leq" "real 'less or equal to'"
+ (const HelmLibraryObjects.Reals.rle_URI);
+ DisambiguateChoices.add_binary_op "geq" "natural 'greater or equal to'"
+ (const HelmLibraryObjects.Peano.ge_URI);
+ DisambiguateChoices.add_binary_op "geq" "real 'greater or equal to'"
+ (const HelmLibraryObjects.Reals.rge_URI);
+ DisambiguateChoices.add_binary_op "lt" "natural 'less than'"
+ (const HelmLibraryObjects.Peano.lt_URI);
+ DisambiguateChoices.add_binary_op "lt" "real 'less than'"
+ (const HelmLibraryObjects.Reals.rlt_URI);
+ DisambiguateChoices.add_binary_op "gt" "natural 'greater than'"
+ (const HelmLibraryObjects.Peano.gt_URI);
+ DisambiguateChoices.add_binary_op "gt" "real 'greater than'"
+ (const HelmLibraryObjects.Reals.rgt_URI);
+ DisambiguateChoices.add_symbol_choice "neq"
+ ("not equal to (leibnitz)",
+ (fun env _ args ->
+ let t1, t2 =
+ match args with
+ | [t1; t2] -> t1, t2
+ | _ -> raise DisambiguateChoices.Invalid_choice
+ in
+ Cic.Appl [ const HelmLibraryObjects.Logic.not_URI;
+ Cic.Appl [
+ Cic.MutInd (HelmLibraryObjects.Logic.eq_URI, 0, []);
+ Cic.Implicit (Some `Type); t1; t2 ] ]));