module T = Tacticals
module RT = ReductionTactics
+let rec args_init n f =
+ if n <= 0 then [] else f n :: args_init (pred n) f
+
+let mk_predicate_for_elim
+ ~context ~metasenv ~ugraph ~goal ~arg ~using ~cpattern ~args_no =
+ let instantiated_eliminator =
+ let f n = if n = 1 then arg else C.Implicit None in
+ C.Appl (using :: args_init args_no f)
+ in
+ let _actual_arg, iety, _metasenv', _ugraph =
+ CicRefine.type_of_aux' metasenv context instantiated_eliminator ugraph
+ in
+ let _actual_meta, actual_args = match iety with
+ | C.Meta (i, _) -> i, []
+ | C.Appl (C.Meta (i, _) :: args) -> i, args
+ | _ -> assert false
+ in
+(* let _, upto = PEH.split_with_whd (List.nth splits pred_pos) in *)
+ let rec mk_pred metasenv context' pred arg' = function
+ | [] -> metasenv, pred, arg'
+ | arg :: tail ->
+(* FG: we find the predicate for the eliminator as in the rewrite tactic ****)
+ let argty, _ugraph = TC.type_of_aux' metasenv context' arg ugraph in
+ let argty = CicReduction.whd context' argty in
+ let fresh_name =
+ FreshNamesGenerator.mk_fresh_name
+ ~subst:[] metasenv context' C.Anonymous ~typ:argty
+ in
+ let hyp = Some (fresh_name, C.Decl argty) in
+ let lazy_term c m u =
+ let distance = List.length c - List.length context in
+ S.lift distance arg, m, u
+ in
+ let pattern = Some lazy_term, [], Some cpattern in
+ let subst, metasenv, _ugraph, _conjecture, selected_terms =
+ ProofEngineHelpers.select
+ ~metasenv ~ugraph ~conjecture:(0, context, pred) ~pattern
+ in
+ let metasenv = MS.apply_subst_metasenv subst metasenv in
+ let map (_context_of_t, t) l = t :: l in
+ let what = List.fold_right map selected_terms [] in
+ let arg' = MS.apply_subst subst arg' in
+ let argty = MS.apply_subst subst argty in
+ let pred = PER.replace_with_rel_1_from ~equality:(==) ~what 1 pred in
+ let pred = MS.apply_subst subst pred in
+ let pred = C.Lambda (fresh_name, argty, pred) in
+ mk_pred metasenv (hyp :: context') pred arg' tail
+ in
+ let metasenv, pred, arg = mk_pred metasenv context goal arg actual_args in
+ HLog.debug ("PRED: " ^ CicPp.ppterm ~metasenv pred ^ " ARGS: " ^ String.concat " " (List.map (CicPp.ppterm ~metasenv) actual_args));
+ metasenv, pred, arg, actual_args
+
let beta_after_elim_tac upto predicate =
let beta_after_elim_tac status =
let proof, goal = status in
let elim_tac ?using ?(pattern = PET.conclusion_pattern None) term =
let elim_tac (proof, goal) =
- let cpatt = match pattern with
- | None, [], Some cpatt -> cpatt
- | _ -> raise (PET.Fail (lazy "not implemented"))
+ let cpattern = match pattern with
+ | None, [], Some cpattern -> cpattern
+ | _ -> raise (PET.Fail (lazy "not implemented"))
in
let ugraph = CicUniv.empty_ugraph in
let curi, metasenv, _subst, proofbo, proofty, attrs = proof in
TC.type_of_aux' metasenv' context eliminator_ref ugraph in
(* FG: ADDED PART ***********************************************************)
(* FG: we can not assume eliminator is the default eliminator ***************)
- let rec args_init n f =
- if n <= 0 then [] else f n :: args_init (pred n) f
- in
let splits, args_no = PEH.split_with_whd (context, ety) in
let pred_pos = match List.hd splits with
| _, C.Rel i when i > 1 && i <= args_no -> i
| _, C.Appl (C.Rel i :: _) when i > 1 && i <= args_no -> i
| _ -> raise NotAnEliminator
in
- let upto, metasenv', pred, term = match pattern with
+ let metasenv', pred, term, actual_args = match pattern with
| None, [], Some (C.Implicit (Some `Hole)) ->
- 0, metasenv', C.Implicit None, term
+ metasenv', C.Implicit None, term, []
| _ ->
- let instantiated_eliminator =
- let f n = if n = 1 then term else C.Implicit None in
- C.Appl (eliminator_ref :: args_init args_no f)
- in
- let _actual_term, iety, _metasenv'', _ugraph =
- CicRefine.type_of_aux' metasenv' context instantiated_eliminator ugraph
- in
- let _actual_meta, actual_args = match iety with
- | C.Meta (i, _) -> i, []
- | C.Appl (C.Meta (i, _) :: args) -> i, args
- | _ -> assert false
- in
- (* let _, upto = PEH.split_with_whd (List.nth splits pred_pos) in *)
- let upto = List.length actual_args in
- let rec mk_pred metasenv context' pred term' = function
- | [] -> metasenv, pred, term'
- | term :: tail ->
-(* FG: we find the predicate for the eliminator as in the rewrite tactic ****)
- let termty, _ugraph = TC.type_of_aux' metasenv context' term ugraph in
- let termty = CicReduction.whd context' termty in
- let fresh_name =
- FreshNamesGenerator.mk_fresh_name
- ~subst:[] metasenv context' C.Anonymous ~typ:termty
- in
- let hyp = Some (fresh_name, C.Decl termty) in
- let lazy_term c m u =
- let distance = List.length c - List.length context in
- S.lift distance term, m, u
- in
- let pattern = Some lazy_term, [], Some cpatt in
- let subst, metasenv, _ugraph, _conjecture, selected_terms =
- ProofEngineHelpers.select
- ~metasenv ~ugraph ~conjecture:(metano, context, pred) ~pattern
- in
- let metasenv = MS.apply_subst_metasenv subst metasenv in
- let map (_context_of_t, t) l = t :: l in
- let what = List.fold_right map selected_terms [] in
- let term' = MS.apply_subst subst term' in
- let termty = MS.apply_subst subst termty in
- let pred = PER.replace_with_rel_1_from ~equality:(==) ~what 1 pred in
- let pred = MS.apply_subst subst pred in
- let pred = C.Lambda (fresh_name, termty, pred) in
- mk_pred metasenv (hyp :: context') pred term' tail
- in
- let metasenv', pred, term = mk_pred metasenv' context ty term actual_args in
- HLog.debug ("PRED: " ^ CicPp.ppterm ~metasenv:metasenv' pred ^ " ARGS: " ^ String.concat " " (List.map (CicPp.ppterm ~metasenv:metasenv') actual_args));
- upto, metasenv', pred, term
- in
+ mk_predicate_for_elim
+ ~args_no ~context ~ugraph ~cpattern
+ ~metasenv:metasenv' ~arg:term ~using:eliminator_ref ~goal:ty
+ in
(* FG: END OF ADDED PART ****************************************************)
let term_to_refine =
let f n =
new_goals @ new_goals'
in
let res = proof'', patched_new_goals in
+ let upto = List.length actual_args in
if upto = 0 then res else
let continuation = beta_after_elim_tac upto pred in
let dummy_status = proof,goal in