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|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
open Errors
open Util
open Names
open Term
open Vars
open Tacmach
open Tactics
open Tacticals
open Termops
open Formula
open Sequent
open Globnames
open Locus
type seqtac= (Sequent.t -> tactic) -> Sequent.t -> tactic
type lseqtac= global_reference -> seqtac
type 'a with_backtracking = tactic -> 'a
let wrap n b continue seq gls=
Control.check_for_interrupt ();
let nc=pf_hyps gls in
let env=pf_env gls in
let rec aux i nc ctx=
if i<=0 then seq else
match nc with
[]->anomaly (Pp.str "Not the expected number of hyps")
| ((id,_,typ) as nd)::q->
if occur_var env id (pf_concl gls) ||
List.exists (occur_var_in_decl env id) ctx then
(aux (i-1) q (nd::ctx))
else
add_formula Hyp (VarRef id) typ (aux (i-1) q (nd::ctx)) gls in
let seq1=aux n nc [] in
let seq2=if b then
add_formula Concl dummy_id (pf_concl gls) seq1 gls else seq1 in
continue seq2 gls
let basename_of_global=function
VarRef id->id
| _->assert false
let clear_global=function
VarRef id->clear [id]
| _->tclIDTAC
(* connection rules *)
let axiom_tac t seq=
try pf_constr_of_global (find_left t seq) exact_no_check
with Not_found->tclFAIL 0 (Pp.str "No axiom link")
let ll_atom_tac a backtrack id continue seq=
tclIFTHENELSE
(try
tclTHENLIST
[pf_constr_of_global (find_left a seq) (fun left ->
pf_constr_of_global id (fun id ->
generalize [mkApp(id, [|left|])]));
clear_global id;
Proofview.V82.of_tactic intro]
with Not_found->tclFAIL 0 (Pp.str "No link"))
(wrap 1 false continue seq) backtrack
(* right connectives rules *)
let and_tac backtrack continue seq=
tclIFTHENELSE (Proofview.V82.of_tactic simplest_split) (wrap 0 true continue seq) backtrack
let or_tac backtrack continue seq=
tclORELSE
(Proofview.V82.of_tactic (any_constructor false (Some (Proofview.V82.tactic (tclCOMPLETE (wrap 0 true continue seq))))))
backtrack
let arrow_tac backtrack continue seq=
tclIFTHENELSE (Proofview.V82.of_tactic intro) (wrap 1 true continue seq)
(tclORELSE
(tclTHEN (Proofview.V82.of_tactic introf) (tclCOMPLETE (wrap 1 true continue seq)))
backtrack)
(* left connectives rules *)
let left_and_tac ind backtrack id continue seq gls=
let n=(construct_nhyps ind gls).(0) in
tclIFTHENELSE
(tclTHENLIST
[Proofview.V82.of_tactic (Tacticals.New.pf_constr_of_global id simplest_elim);
clear_global id;
tclDO n (Proofview.V82.of_tactic intro)])
(wrap n false continue seq)
backtrack gls
let left_or_tac ind backtrack id continue seq gls=
let v=construct_nhyps ind gls in
let f n=
tclTHENLIST
[clear_global id;
tclDO n (Proofview.V82.of_tactic intro);
wrap n false continue seq] in
tclIFTHENSVELSE
(Proofview.V82.of_tactic (Tacticals.New.pf_constr_of_global id simplest_elim))
(Array.map f v)
backtrack gls
let left_false_tac id=
Proofview.V82.of_tactic (Tacticals.New.pf_constr_of_global id simplest_elim)
(* left arrow connective rules *)
(* We use this function for false, and, or, exists *)
let ll_ind_tac (ind,u as indu) largs backtrack id continue seq gl=
let rcs=ind_hyps 0 indu largs gl in
let vargs=Array.of_list largs in
(* construire le terme H->B, le generaliser etc *)
let myterm idc i=
let rc=rcs.(i) in
let p=List.length rc in
let cstr=mkApp ((mkConstructU ((ind,(i+1)),u)),vargs) in
let vars=Array.init p (fun j->mkRel (p-j)) in
let capply=mkApp ((lift p cstr),vars) in
let head=mkApp ((lift p idc),[|capply|]) in
it_mkLambda_or_LetIn head rc in
let lp=Array.length rcs in
let newhyps idc =List.init lp (myterm idc) in
tclIFTHENELSE
(tclTHENLIST
[pf_constr_of_global id (fun idc -> generalize (newhyps idc));
clear_global id;
tclDO lp (Proofview.V82.of_tactic intro)])
(wrap lp false continue seq) backtrack gl
let ll_arrow_tac a b c backtrack id continue seq=
let cc=mkProd(Anonymous,a,(lift 1 b)) in
let d idc =mkLambda (Anonymous,b,
mkApp (idc, [|mkLambda (Anonymous,(lift 1 a),(mkRel 2))|])) in
tclORELSE
(tclTHENS (Proofview.V82.of_tactic (cut c))
[tclTHENLIST
[Proofview.V82.of_tactic introf;
clear_global id;
wrap 1 false continue seq];
tclTHENS (Proofview.V82.of_tactic (cut cc))
[pf_constr_of_global id exact_no_check;
tclTHENLIST
[pf_constr_of_global id (fun idc -> generalize [d idc]);
clear_global id;
Proofview.V82.of_tactic introf;
Proofview.V82.of_tactic introf;
tclCOMPLETE (wrap 2 true continue seq)]]])
backtrack
(* quantifier rules (easy side) *)
let forall_tac backtrack continue seq=
tclORELSE
(tclIFTHENELSE (Proofview.V82.of_tactic intro) (wrap 0 true continue seq)
(tclORELSE
(tclTHEN (Proofview.V82.of_tactic introf) (tclCOMPLETE (wrap 0 true continue seq)))
backtrack))
(if !qflag then
tclFAIL 0 (Pp.str "reversible in 1st order mode")
else
backtrack)
let left_exists_tac ind backtrack id continue seq gls=
let n=(construct_nhyps ind gls).(0) in
tclIFTHENELSE
(Proofview.V82.of_tactic (Tacticals.New.pf_constr_of_global id simplest_elim))
(tclTHENLIST [clear_global id;
tclDO n (Proofview.V82.of_tactic intro);
(wrap (n-1) false continue seq)])
backtrack
gls
let ll_forall_tac prod backtrack id continue seq=
tclORELSE
(tclTHENS (Proofview.V82.of_tactic (cut prod))
[tclTHENLIST
[Proofview.V82.of_tactic intro;
pf_constr_of_global id (fun idc ->
(fun gls->
let id0=pf_nth_hyp_id gls 1 in
let term=mkApp(idc,[|mkVar(id0)|]) in
tclTHEN (generalize [term]) (clear [id0]) gls));
clear_global id;
Proofview.V82.of_tactic intro;
tclCOMPLETE (wrap 1 false continue (deepen seq))];
tclCOMPLETE (wrap 0 true continue (deepen seq))])
backtrack
(* rules for instantiation with unification moved to instances.ml *)
(* special for compatibility with old Intuition *)
let constant str = Coqlib.gen_constant "User" ["Init";"Logic"] str
let defined_connectives=lazy
[AllOccurrences,EvalConstRef (fst (destConst (constant "not")));
AllOccurrences,EvalConstRef (fst (destConst (constant "iff")))]
let normalize_evaluables=
onAllHypsAndConcl
(function
None->unfold_in_concl (Lazy.force defined_connectives)
| Some id ->
unfold_in_hyp (Lazy.force defined_connectives) (id,InHypTypeOnly))
|
