diff -r f04b33ce250f -r a4dc62a46ee4 subtype.ML --- a/subtype.ML Tue Oct 24 14:59:17 1995 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,141 +0,0 @@ -(* Title: HOL/subtype.ML - ID: $Id$ - Author: Markus Wenzel, TU Muenchen - -Internal interface for subtype definitions. -*) - -signature SUBTYPE = -sig - val prove_nonempty: cterm -> thm list -> tactic option -> thm - val add_subtype: string -> string * string list * mixfix -> - string -> string list -> thm list -> tactic option -> theory -> theory - val add_subtype_i: string -> string * string list * mixfix -> - term -> string list -> thm list -> tactic option -> theory -> theory -end; - -structure Subtype: SUBTYPE = -struct - -open Syntax Logic HOLogic; - - -(* prove non-emptyness of a set *) (*exception ERROR*) - -val is_def = is_equals o #prop o rep_thm; - -fun prove_nonempty cset thms usr_tac = - let - val {T = setT, t = set, maxidx, sign} = rep_cterm cset; - val T = dest_setT setT; - val goal = - cterm_of sign (mk_Trueprop (mk_mem (Var (("x", maxidx + 1), T), set))); - val tac = - TRY (rewrite_goals_tac (filter is_def thms)) THEN - TRY (REPEAT_FIRST (resolve_tac (filter_out is_def thms))) THEN - if_none usr_tac (TRY (ALLGOALS (fast_tac set_cs))); - in - prove_goalw_cterm [] goal (K [tac]) - end - handle ERROR => - error ("Failed to prove non-emptyness of " ^ quote (string_of_cterm cset)); - - -(* ext_subtype *) - -fun ext_subtype prep_term name (t, vs, mx) raw_set axms thms usr_tac thy = - let - val _ = require_thy thy "Set" "subtype definitions"; - val sign = sign_of thy; - - (*rhs*) - val cset = prep_term sign raw_set; - val {T = setT, t = set, ...} = rep_cterm cset; - val rhs_tfrees = term_tfrees set; - val oldT = dest_setT setT handle TYPE _ => - error ("Not a set type: " ^ quote (Sign.string_of_typ sign setT)); - - (*lhs*) - val lhs_tfrees = - map (fn v => (v, if_none (assoc (rhs_tfrees, v)) termS)) vs; - - val tname = type_name t mx; - val tlen = length vs; - val newT = Type (tname, map TFree lhs_tfrees); - - val Rep_name = "Rep_" ^ name; - val Abs_name = "Abs_" ^ name; - val setC = Const (name, setT); - val RepC = Const (Rep_name, newT --> oldT); - val AbsC = Const (Abs_name, oldT --> newT); - val x_new = Free ("x", newT); - val y_old = Free ("y", oldT); - - (*axioms*) - val rep_type = mk_Trueprop (mk_mem (RepC $ x_new, setC)); - val rep_type_inv = mk_Trueprop (mk_eq (AbsC $ (RepC $ x_new), x_new)); - val abs_type_inv = mk_implies (mk_Trueprop (mk_mem (y_old, setC)), - mk_Trueprop (mk_eq (RepC $ (AbsC $ y_old), y_old))); - - - (* errors *) - - val show_names = commas_quote o map fst; - - val illegal_vars = - if null (term_vars set) andalso null (term_tvars set) then [] - else ["Illegal schematic variable(s) on rhs"]; - - val dup_lhs_tfrees = - (case duplicates lhs_tfrees of [] => [] - | dups => ["Duplicate type variables on lhs: " ^ show_names dups]); - - val extra_rhs_tfrees = - (case gen_rems (op =) (rhs_tfrees, lhs_tfrees) of [] => [] - | extras => ["Extra type variables on rhs: " ^ show_names extras]); - - val illegal_frees = - (case term_frees set of [] => [] - | xs => ["Illegal variables on rhs: " ^ show_names (map dest_Free xs)]); - - val errs = illegal_vars @ dup_lhs_tfrees @ extra_rhs_tfrees @ illegal_frees; - in - if null errs then () - else error (cat_lines errs); - - prove_nonempty cset (map (get_axiom thy) axms @ thms) usr_tac; - - thy - |> add_types [(t, tlen, mx)] - |> add_arities - [(tname, replicate tlen logicS, logicS), - (tname, replicate tlen termS, termS)] - |> add_consts_i - [(name, setT, NoSyn), - (Rep_name, newT --> oldT, NoSyn), - (Abs_name, oldT --> newT, NoSyn)] - |> add_defs_i - [(name ^ "_def", mk_equals (setC, set))] - |> add_axioms_i - [(Rep_name, rep_type), - (Rep_name ^ "_inverse", rep_type_inv), - (Abs_name ^ "_inverse", abs_type_inv)] - end - handle ERROR => - error ("The error(s) above occurred in subtype definition " ^ quote name); - - -(* external interfaces *) - -fun cert_term sg tm = - cterm_of sg tm handle TERM (msg, _) => error msg; - -fun read_term sg str = - read_cterm sg (str, termTVar); - -val add_subtype = ext_subtype read_term; -val add_subtype_i = ext_subtype cert_term; - - -end; -