--- a/src/HOL/Nonstandard_Analysis/transfer.ML Fri Feb 16 21:33:04 2018 +0100
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,135 +0,0 @@
-(* Title: HOL/Nonstandard_Analysis/transfer.ML
- Author: Brian Huffman
-
-Transfer principle tactic for nonstandard analysis.
-*)
-
-signature TRANSFER_PRINCIPLE =
-sig
- val transfer_tac: Proof.context -> thm list -> int -> tactic
- val add_const: string -> theory -> theory
-end;
-
-structure Transfer_Principle: TRANSFER_PRINCIPLE =
-struct
-
-structure Data = Generic_Data
-(
- type T = {
- intros: thm list,
- unfolds: thm list,
- refolds: thm list,
- consts: string list
- };
- val empty = {intros = [], unfolds = [], refolds = [], consts = []};
- val extend = I;
- fun merge
- ({intros = intros1, unfolds = unfolds1,
- refolds = refolds1, consts = consts1},
- {intros = intros2, unfolds = unfolds2,
- refolds = refolds2, consts = consts2}) : T =
- {intros = Thm.merge_thms (intros1, intros2),
- unfolds = Thm.merge_thms (unfolds1, unfolds2),
- refolds = Thm.merge_thms (refolds1, refolds2),
- consts = Library.merge (op =) (consts1, consts2)};
-);
-
-fun unstar_typ (Type (@{type_name star}, [t])) = unstar_typ t
- | unstar_typ (Type (a, Ts)) = Type (a, map unstar_typ Ts)
- | unstar_typ T = T
-
-fun unstar_term consts term =
- let
- fun unstar (Const(a,T) $ t) = if member (op =) consts a then (unstar t)
- else (Const(a,unstar_typ T) $ unstar t)
- | unstar (f $ t) = unstar f $ unstar t
- | unstar (Const(a,T)) = Const(a,unstar_typ T)
- | unstar (Abs(a,T,t)) = Abs(a,unstar_typ T,unstar t)
- | unstar t = t
- in
- unstar term
- end
-
-local exception MATCH
-in
-fun transfer_star_tac ctxt =
- let
- fun thm_of (Const (@{const_name Ifun}, _) $ t $ u) = @{thm transfer_Ifun} OF [thm_of t, thm_of u]
- | thm_of (Const (@{const_name star_of}, _) $ _) = @{thm star_of_def}
- | thm_of (Const (@{const_name star_n}, _) $ _) = @{thm Pure.reflexive}
- | thm_of _ = raise MATCH;
-
- fun thm_of_goal (Const (@{const_name Pure.eq}, _) $ t $ (Const (@{const_name star_n}, _) $ _)) =
- thm_of t
- | thm_of_goal _ = raise MATCH;
- in
- SUBGOAL (fn (t, i) =>
- resolve_tac ctxt [thm_of_goal (strip_all_body t |> Logic.strip_imp_concl)] i
- handle MATCH => no_tac)
- end;
-end;
-
-fun transfer_thm_of ctxt ths t =
- let
- val {intros,unfolds,refolds,consts} = Data.get (Context.Proof ctxt);
- val meta = Local_Defs.meta_rewrite_rule ctxt;
- val ths' = map meta ths;
- val unfolds' = map meta unfolds and refolds' = map meta refolds;
- val (_$_$t') = Thm.concl_of (Raw_Simplifier.rewrite ctxt true unfolds' (Thm.cterm_of ctxt t))
- val u = unstar_term consts t'
- val tac =
- rewrite_goals_tac ctxt (ths' @ refolds' @ unfolds') THEN
- ALLGOALS (Object_Logic.full_atomize_tac ctxt) THEN
- match_tac ctxt [transitive_thm] 1 THEN
- resolve_tac ctxt [@{thm transfer_start}] 1 THEN
- REPEAT_ALL_NEW (resolve_tac ctxt intros ORELSE' transfer_star_tac ctxt) 1 THEN
- match_tac ctxt [reflexive_thm] 1
- in Goal.prove ctxt [] [] (Logic.mk_equals (t,u)) (K tac) end;
-
-fun transfer_tac ctxt ths = SUBGOAL (fn (t, _) => (fn th =>
- let
- val tr = transfer_thm_of ctxt ths t
- val (_$ l $ r) = Thm.concl_of tr;
- val trs = if l aconv r then [] else [tr];
- in rewrite_goals_tac ctxt trs th end));
-
-local
-
-fun map_intros f = Data.map
- (fn {intros,unfolds,refolds,consts} =>
- {intros=f intros, unfolds=unfolds, refolds=refolds, consts=consts})
-
-fun map_unfolds f = Data.map
- (fn {intros,unfolds,refolds,consts} =>
- {intros=intros, unfolds=f unfolds, refolds=refolds, consts=consts})
-
-fun map_refolds f = Data.map
- (fn {intros,unfolds,refolds,consts} =>
- {intros=intros, unfolds=unfolds, refolds=f refolds, consts=consts})
-in
-
-val intro_add = Thm.declaration_attribute (map_intros o Thm.add_thm);
-val intro_del = Thm.declaration_attribute (map_intros o Thm.del_thm);
-
-val unfold_add = Thm.declaration_attribute (map_unfolds o Thm.add_thm);
-val unfold_del = Thm.declaration_attribute (map_unfolds o Thm.del_thm);
-
-val refold_add = Thm.declaration_attribute (map_refolds o Thm.add_thm);
-val refold_del = Thm.declaration_attribute (map_refolds o Thm.del_thm);
-
-end
-
-fun add_const c = Context.theory_map (Data.map
- (fn {intros,unfolds,refolds,consts} =>
- {intros=intros, unfolds=unfolds, refolds=refolds, consts=c::consts}))
-
-val _ =
- Theory.setup
- (Attrib.setup @{binding transfer_intro} (Attrib.add_del intro_add intro_del)
- "declaration of transfer introduction rule" #>
- Attrib.setup @{binding transfer_unfold} (Attrib.add_del unfold_add unfold_del)
- "declaration of transfer unfolding rule" #>
- Attrib.setup @{binding transfer_refold} (Attrib.add_del refold_add refold_del)
- "declaration of transfer refolding rule")
-
-end;