--- a/src/Pure/Isar/obtain.ML Tue Mar 21 00:17:56 2000 +0100
+++ b/src/Pure/Isar/obtain.ML Tue Mar 21 00:18:54 2000 +0100
@@ -2,8 +2,8 @@
ID: $Id$
Author: Markus Wenzel, TU Muenchen
-The 'obtain' language element -- eliminated existential quantification
-at the level of proof texts.
+The 'obtain' language element -- generalized existence at the level of
+proof texts.
The common case:
@@ -31,18 +31,13 @@
have/show !!x. G x ==> C x
proof succeed
fix x
- assume antecedent: G x
+ assume hyps: G x
def thesis == C x
presume that: !!a. P a ==> thesis
from goal_facts show thesis <proof>
next
fix a
assume P a
-
-TODO:
- - bind terms for goal as well (done?);
- - improve block structure (admit subsequent occurences of 'next') (no?);
- - handle general case (easy??);
*)
signature OBTAIN_DATA =
@@ -67,25 +62,18 @@
(** obtain(_i) **)
val thatN = "that";
+val hypsN = "hyps";
fun gen_obtain prep_vars prep_propp prep_att (raw_vars, raw_asms) state =
let
- (*thesis*)
- val (prop, (goal_facts, goal)) = Proof.get_goal (Proof.assert_backward state);
+ val _ = Proof.assert_backward state;
- val parms = Logic.strip_params prop; (* FIXME unused *)
- val _ =
- if null parms then () else raise Proof.STATE ("Cannot handle params in goal (yet)", state);
- val hyps = Logic.strip_assums_hyp prop; (* FIXME unused *)
- val concl = Logic.strip_assums_concl prop;
- val ((thesis_name, thesis_term), atomic_thesis) = AutoBind.atomic_thesis concl;
-
- (*vars*)
+ (*obtain vars*)
val (vars_ctxt, vars) =
foldl_map prep_vars (Proof.context_of state, map Comment.ignore raw_vars);
val xs = flat (map fst vars);
- (*asms*)
+ (*obtain asms*)
fun prep_asm (ctxt, (name, src, raw_propps)) =
let
val atts = map (prep_att (ProofContext.theory_of ctxt)) src;
@@ -96,6 +84,21 @@
val asm_props = flat (map (map fst o #3) asms);
val _ = ProofContext.warn_extra_tfrees vars_ctxt asms_ctxt;
+ (*thesis*)
+ val (prop, (goal_facts, goal)) = Proof.get_goal state;
+
+ val parms = Logic.strip_params prop;
+ val parm_names = Term.variantlist (map #1 parms, Term.add_term_names (prop, xs));
+ val parm_types = map #2 parms;
+ val parm_vars = map Library.single parm_names ~~ map Some parm_types;
+
+ val frees = map2 Free (parm_names, parm_types);
+ val rev_frees = rev frees;
+
+ val hyps = map (fn t => Term.subst_bounds (rev_frees, t)) (Logic.strip_assums_hyp prop);
+ val concl = Term.subst_bounds (rev_frees, Logic.strip_assums_concl prop);
+ val ((thesis_name, thesis_term), atomic_thesis) = AutoBind.atomic_thesis concl;
+
(*that_prop*)
fun find_free x t =
(case Proof.find_free t x of Some (Free a) => Some a | _ => None);
@@ -113,6 +116,8 @@
state
|> Method.proof (Some (Method.Basic (K Method.succeed)))
|> Seq.map (fn st => st
+ |> Proof.fix_i parm_vars
+ |> Proof.assume_i [(hypsN, [], map (rpair ([], [])) hyps)]
|> LocalDefs.def_i "" [] ((thesis_name, None), (thesis_term, []))
|> Proof.presume_i [(thatN, Data.that_atts, [(that_prop, ([], []))])]
|> Proof.from_facts goal_facts
@@ -133,7 +138,7 @@
local structure P = OuterParse and K = OuterSyntax.Keyword in
val obtainP =
- OuterSyntax.command "obtain" "proof text-level existential quantifier"
+ OuterSyntax.command "obtain" "generalized existence"
K.prf_asm_goal
(Scan.optional
(P.and_list1 (Scan.repeat1 P.name -- Scan.option (P.$$$ "::" |-- P.typ) -- P.marg_comment)