src/Pure/Syntax/mixfix.ML
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(*  Title:      Pure/Syntax/mixfix.ML
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    Author:     Tobias Nipkow and Markus Wenzel, TU Muenchen
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Mixfix declarations, infixes, binders.
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*)
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signature MIXFIX0 =
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sig
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  datatype mixfix =
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    NoSyn |
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    Mixfix of string * int list * int |
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    Delimfix of string |
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    InfixName of string * int |
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    InfixlName of string * int |
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    InfixrName of string * int |
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    Infix of int |    (*obsolete*)
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    Infixl of int |   (*obsolete*)
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    Infixr of int |   (*obsolete*)
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    Binder of string * int * int |
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    Structure
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  val binder_name: string -> string
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end;
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signature MIXFIX1 =
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sig
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  include MIXFIX0
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  val literal: string -> mixfix
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  val no_syn: 'a * 'b -> 'a * 'b * mixfix
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  val pretty_mixfix: mixfix -> Pretty.T
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  val type_name: mixfix -> string -> string
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  val const_name: mixfix -> string -> string
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  val const_mixfix: string -> mixfix -> string * mixfix
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  val mixfix_args: mixfix -> int
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  val mixfixT: mixfix -> typ
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end;
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signature MIXFIX =
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sig
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  include MIXFIX1
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  val syn_ext_types: (string * int * mixfix) list -> SynExt.syn_ext
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  val syn_ext_consts: (string -> bool) -> (string * typ * mixfix) list -> SynExt.syn_ext
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end;
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structure Mixfix: MIXFIX =
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struct
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(** mixfix declarations **)
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datatype mixfix =
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  NoSyn |
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  Mixfix of string * int list * int |
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  Delimfix of string |
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  InfixName of string * int |
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  InfixlName of string * int |
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  InfixrName of string * int |
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  Infix of int |      (*obsolete*)
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  Infixl of int |     (*obsolete*)
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  Infixr of int |     (*obsolete*)
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  Binder of string * int * int |
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  Structure;
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val literal = Delimfix o SynExt.escape_mfix;
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fun no_syn (x, y) = (x, y, NoSyn);
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(* pretty_mixfix *)
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local
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val quoted = Pretty.quote o Pretty.str;
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val keyword = Pretty.keyword;
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val parens = Pretty.enclose "(" ")";
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val brackets = Pretty.enclose "[" "]";
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val int = Pretty.str o string_of_int;
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in
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fun pretty_mixfix NoSyn = Pretty.str ""
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  | pretty_mixfix (Mixfix (s, ps, p)) =
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      parens (Pretty.breaks [quoted s, brackets (Pretty.commas (map int ps)), int p])
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  | pretty_mixfix (Delimfix s) = parens [quoted s]
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  | pretty_mixfix (InfixName (s, p)) = parens (Pretty.breaks [keyword "infix", quoted s, int p])
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  | pretty_mixfix (InfixlName (s, p)) = parens (Pretty.breaks [keyword "infixl", quoted s, int p])
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  | pretty_mixfix (InfixrName (s, p)) = parens (Pretty.breaks [keyword "infixl", quoted s, int p])
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  | pretty_mixfix (Infix p) = parens (Pretty.breaks [keyword "infix", int p])
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  | pretty_mixfix (Infixl p) = parens (Pretty.breaks [keyword "infixl", int p])
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  | pretty_mixfix (Infixr p) = parens (Pretty.breaks [keyword "infixr", int p])
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  | pretty_mixfix (Binder (s, p1, p2)) =
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      parens (Pretty.breaks [keyword "binder", quoted s, brackets [int p1], int p2])
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  | pretty_mixfix Structure = parens [keyword "structure"];
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end;
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(* syntax specifications *)
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fun strip ("'" :: c :: cs) = c :: strip cs
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  | strip ["'"] = []
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  | strip (c :: cs) = c :: strip cs
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  | strip [] = [];
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val strip_esc = implode o strip o Symbol.explode;
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fun deprecated c = (legacy_feature ("Unnamed infix operator " ^ quote c); c);
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fun type_name (InfixName _) = I
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  | type_name (InfixlName _) = I
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  | type_name (InfixrName _) = I
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  | type_name (Infix _) = deprecated o strip_esc
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  | type_name (Infixl _) = deprecated o strip_esc
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  | type_name (Infixr _) = deprecated o strip_esc
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  | type_name _ = I;
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fun const_name (InfixName _) = I
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  | const_name (InfixlName _) = I
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  | const_name (InfixrName _) = I
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  | const_name (Infix _) = prefix "op " o deprecated o strip_esc
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  | const_name (Infixl _) = prefix "op " o deprecated o strip_esc
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  | const_name (Infixr _) = prefix "op " o deprecated o strip_esc
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  | const_name _ = I;
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fun fix_mixfix c (Infix p) = InfixName (c, p)
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  | fix_mixfix c (Infixl p) = InfixlName (c, p)
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  | fix_mixfix c (Infixr p) = InfixrName (c, p)
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  | fix_mixfix _ mx = mx;
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fun const_mixfix c mx = (const_name mx c, fix_mixfix c mx);
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fun map_mixfix _ NoSyn = NoSyn
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  | map_mixfix f (Mixfix (sy, ps, p)) = Mixfix (f sy, ps, p)
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  | map_mixfix f (Delimfix sy) = Delimfix (f sy)
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  | map_mixfix f (InfixName (sy, p)) = InfixName (f sy, p)
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  | map_mixfix f (InfixlName (sy, p)) = InfixlName (f sy, p)
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  | map_mixfix f (InfixrName (sy, p)) = InfixrName (f sy, p)
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  | map_mixfix f (Binder (sy, p, q)) = Binder (f sy, p, q)
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  | map_mixfix _ Structure = Structure
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  | map_mixfix _ _ = raise Fail ("map_mixfix: illegal occurrence of unnamed infix");
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fun mixfix_args NoSyn = 0
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  | mixfix_args (Mixfix (sy, _, _)) = SynExt.mfix_args sy
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  | mixfix_args (Delimfix sy) = SynExt.mfix_args sy
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  | mixfix_args (InfixName (sy, _)) = 2 + SynExt.mfix_args sy
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  | mixfix_args (InfixlName (sy, _)) = 2 + SynExt.mfix_args sy
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  | mixfix_args (InfixrName (sy, _)) = 2 + SynExt.mfix_args sy
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  | mixfix_args (Infix _) = 2
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  | mixfix_args (Infixl _) = 2
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  | mixfix_args (Infixr _) = 2
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  | mixfix_args (Binder _) = 1
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  | mixfix_args Structure = 0;
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fun mixfixT (Binder _) = (dummyT --> dummyT) --> dummyT
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  | mixfixT mx = replicate (mixfix_args mx) dummyT ---> dummyT;
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(* syn_ext_types *)
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fun syn_ext_types type_decls =
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  let
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    fun name_of (t, _, mx) = type_name mx t;
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    fun mk_infix sy t p1 p2 p3 =
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      SynExt.Mfix ("(_ " ^ sy ^ "/ _)",
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        [SynExt.typeT, SynExt.typeT] ---> SynExt.typeT, t, [p1, p2], p3);
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    fun mfix_of decl =
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      let val t = name_of decl in
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        (case decl of
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          (_, _, NoSyn) => NONE
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        | (_, 2, InfixName (sy, p)) => SOME (mk_infix sy t (p + 1) (p + 1) p)
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        | (_, 2, InfixlName (sy, p)) => SOME (mk_infix sy t p (p + 1) p)
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        | (_, 2, InfixrName (sy, p)) => SOME (mk_infix sy t (p + 1) p p)
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        | (sy, 2, Infix p) => SOME (mk_infix sy t (p + 1) (p + 1) p)
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        | (sy, 2, Infixl p) => SOME (mk_infix sy t p (p + 1) p)
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        | (sy, 2, Infixr p) => SOME (mk_infix sy t (p + 1) p p)
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        | _ => error ("Bad mixfix declaration for type: " ^ quote t))
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      end;
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    val mfix = map_filter mfix_of type_decls;
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    val xconsts = map name_of type_decls;
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  in SynExt.syn_ext mfix xconsts ([], [], [], []) [] ([], []) end;
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(* syn_ext_consts *)
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val binder_stamp = stamp ();
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val binder_name = suffix "_binder";
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fun syn_ext_consts is_logtype const_decls =
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  let
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    fun name_of (c, _, mx) = const_name mx c;
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    fun mk_infix sy ty c p1 p2 p3 =
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      [SynExt.Mfix ("op " ^ sy, ty, c, [], SynExt.max_pri),
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       SynExt.Mfix ("(_ " ^ sy ^ "/ _)", ty, c, [p1, p2], p3)];
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    fun binder_typ _ (Type ("fun", [Type ("fun", [_, ty2]), ty3])) =
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          [Type ("idts", []), ty2] ---> ty3
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      | binder_typ c _ = error ("Bad type of binder: " ^ quote c);
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    fun mfix_of decl =
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      let val c = name_of decl in
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        (case decl of
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          (_, _, NoSyn) => []
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        | (_, ty, Mixfix (sy, ps, p)) => [SynExt.Mfix (sy, ty, c, ps, p)]
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        | (_, ty, Delimfix sy) => [SynExt.Mfix (sy, ty, c, [], SynExt.max_pri)]
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        | (_, ty, InfixName (sy, p)) => mk_infix sy ty c (p + 1) (p + 1) p
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        | (_, ty, InfixlName (sy, p)) => mk_infix sy ty c p (p + 1) p
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        | (_, ty, InfixrName (sy, p)) => mk_infix sy ty c (p + 1) p p
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        | (sy, ty, Infix p) => mk_infix sy ty c (p + 1) (p + 1) p
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        | (sy, ty, Infixl p) => mk_infix sy ty c p (p + 1) p
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        | (sy, ty, Infixr p) => mk_infix sy ty c (p + 1) p p
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        | (_, ty, Binder (sy, p, q)) =>
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            [SynExt.Mfix ("(3" ^ sy ^ "_./ _)", binder_typ c ty, (binder_name c), [0, p], q)]
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        | _ => error ("Bad mixfix declaration for const: " ^ quote c))
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    end;
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    fun binder (c, _, Binder _) = SOME (binder_name c, c)
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      | binder _ = NONE;
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    val mfix = maps mfix_of const_decls;
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    val xconsts = map name_of const_decls;
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    val binders = map_filter binder const_decls;
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    val binder_trs = binders |> map (SynExt.stamp_trfun binder_stamp o
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        apsnd K o SynTrans.mk_binder_tr);
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    val binder_trs' = binders |> map (SynExt.stamp_trfun binder_stamp o
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        apsnd (K o SynTrans.non_typed_tr') o SynTrans.mk_binder_tr' o swap);
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  in
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    SynExt.syn_ext' true is_logtype
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      mfix xconsts ([], binder_trs, binder_trs', []) [] ([], [])
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  end;
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end;