package coq

  1. Overview
  2. Docs
package coq
Legend:
Page
Library
Module
Module type
Parameter
Class
Class type
Source

Source file ssrbwd.ml

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
(************************************************************************)
(*         *   The Coq Proof Assistant / The Coq Development Team       *)
(*  v      *         Copyright INRIA, CNRS and contributors             *)
(* <O___,, * (see version control and CREDITS file for authors & dates) *)
(*   \VV/  **************************************************************)
(*    //   *    This file is distributed under the terms of the         *)
(*         *     GNU Lesser General Public License Version 2.1          *)
(*         *     (see LICENSE file for the text of the license)         *)
(************************************************************************)

(* This file is (C) Copyright 2006-2015 Microsoft Corporation and Inria. *)

open Printer
open Pretyping
open Glob_term
open Tacmach.Old

open Ssrmatching_plugin
open Ssrmatching

open Ssrast
open Ssrcommon

(** Backward chaining tactics: apply, exact, congr. *)

(** The "apply" tactic *)

let interp_agen ist gl ((goclr, _), (k, gc as c)) (clr, rcs) =
(* ppdebug(lazy(str"sigma@interp_agen=" ++ pr_evar_map None (project gl))); *)
  let rc = pf_intern_term ist gl c in
  let rcs' = rc :: rcs in
  match goclr with
  | None -> clr, rcs'
  | Some ghyps ->
    let clr' = snd (interp_hyps ist gl ghyps) @ clr in
    if k <> NoFlag then clr', rcs' else
    let loc = rc.CAst.loc in
    match DAst.get rc with
    | GVar id when not_section_id id -> SsrHyp (Loc.tag ?loc id) :: clr', rcs'
    | GRef (Names.GlobRef.VarRef id, _) when not_section_id id ->
        SsrHyp (Loc.tag ?loc id) :: clr', rcs'
    | _ -> clr', rcs'

let pf_pr_glob_constr gl = pr_glob_constr_env (pf_env gl) (project gl)

let interp_nbargs ist env sigma rc =
  try
    let rc6 = mkRApp rc (mkRHoles 6) in
    let sigma, t = interp_open_constr env sigma ist (rc6, None) in
    6 + Ssrcommon.nbargs_open_constr env t
  with _ -> 5

let interp_view_nbimps ist env sigma rc =
  try
    let sigma, t = interp_open_constr env sigma ist (rc, None) in
    let pl, c = splay_open_constr env t in
    if Ssrcommon.isAppInd env sigma c then List.length pl else (-(List.length pl))
  with _ -> 0

let interp_agens ist gl gagens =
  match List.fold_right (interp_agen ist gl) gagens ([], []) with
  | clr, rlemma :: args ->
    let n = interp_nbargs ist (pf_env gl) (project gl) rlemma - List.length args in
    let rec loop i =
      if i > n then
         errorstrm Pp.(str "Cannot apply lemma " ++ pf_pr_glob_constr gl rlemma)
      else
        try interp_refine (pf_env gl) (project gl) ist ~concl:(pf_concl gl) (mkRApp rlemma (mkRHoles i @ args))
        with _ -> loop (i + 1) in
    clr, loop 0
  | _ -> assert false

let apply_rconstr ?ist t =
  Proofview.Goal.enter begin fun gl ->
  let env = Proofview.Goal.env gl in
  let sigma = Proofview.Goal.sigma gl in
  let cl = Proofview.Goal.concl gl in
(* ppdebug(lazy(str"sigma@apply_rconstr=" ++ pr_evar_map None (project gl))); *)
  let n = match ist, DAst.get t with
    | None, (GVar id | GRef (Names.GlobRef.VarRef id,_)) -> pf_nbargs env sigma (EConstr.mkVar id)
    | Some ist, _ -> interp_nbargs ist env sigma t
    | _ -> anomaly "apply_rconstr without ist and not RVar" in
  let mkRlemma i = mkRApp t (mkRHoles i) in
  let rec loop i =
    if i > n then
      errorstrm Pp.(str"Cannot apply lemma "++pr_glob_constr_env env sigma t)
    else try understand_tcc env sigma ~expected_type:(OfType cl) (mkRlemma i) with _ -> loop (i + 1) in
  refine_with (loop 0)
  end

let mkRAppView ist env sigma rv gv =
  let nb_view_imps = interp_view_nbimps ist env sigma rv in
  mkRApp rv (mkRHoles (abs nb_view_imps))

let refine_interp_apply_view dbl ist gv =
  let open Tacmach in
  Proofview.Goal.enter begin fun gl ->
  let pair i = List.map (fun x -> i, x) in
  let rv = intern_term ist (pf_env gl) gv in
  let v = mkRAppView ist (pf_env gl) (project gl) rv gv in
  let interp_with (dbl, hint) =
    let i = if dbl = Ssrview.AdaptorDb.Equivalence then 2 else 1 in
    interp_refine (pf_env gl) (project gl) ist ~concl:(pf_concl gl) (mkRApp hint (v :: mkRHoles i)) in
  let rec loop = function
  | [] -> Proofview.tclORELSE (apply_rconstr ~ist rv) (fun _ -> view_error "apply" gv)
  | h :: hs ->
    match interp_with h with
    | (_, t) -> Proofview.tclORELSE (refine_with t) (fun _ -> loop hs)
    | exception e -> loop hs
  in
  loop (pair dbl (Ssrview.AdaptorDb.get dbl) @
        if dbl = Ssrview.AdaptorDb.Equivalence
        then pair Ssrview.AdaptorDb.Backward (Ssrview.AdaptorDb.(get Backward))
        else [])
  end

let apply_top_tac =
  Proofview.Goal.enter begin fun _ ->
  Tacticals.tclTHENLIST [
    introid top_id;
    apply_rconstr (mkRVar top_id);
    cleartac [SsrHyp(None,top_id)]
  ]
  end

let inner_ssrapplytac gviews (ggenl, gclr) ist = Proofview.V82.tactic ~nf_evars:false (fun gl ->
 let _, clr = interp_hyps ist gl gclr in
 let vtac gv i = refine_interp_apply_view i ist gv in
 let ggenl, tclGENTAC =
   if gviews <> [] && ggenl <> [] then
     let ggenl= List.map (fun (x,(k,p)) -> x, {kind=k; pattern=p; interpretation= Some ist}) (List.hd ggenl) in
     [], Tacticals.Old.tclTHEN (Proofview.V82.of_tactic (genstac (ggenl,[])))
   else ggenl, Tacticals.Old.tclTHEN Tacticals.Old.tclIDTAC in
 tclGENTAC (fun gl ->
  match gviews, ggenl with
  | v :: tl, [] ->
    let dbl =
      if List.length tl = 1
      then Ssrview.AdaptorDb.Equivalence
      else Ssrview.AdaptorDb.Backward in
    Proofview.V82.of_tactic (Tacticals.tclTHEN
      (List.fold_left (fun acc v ->
         Tacticals.tclTHENLAST acc (vtac v dbl))
        (vtac v Ssrview.AdaptorDb.Backward) tl)
      (cleartac clr)) gl
  | [], [agens] ->
    let clr', (sigma, lemma) = interp_agens ist gl agens in
    let gl = pf_merge_uc_of sigma gl in
    Proofview.V82.of_tactic (Tacticals.tclTHENLIST [cleartac clr; refine_with ~beta:true lemma; cleartac clr']) gl
  | _, _ ->
    Proofview.V82.of_tactic (Tacticals.tclTHENLIST [apply_top_tac; cleartac clr]) gl) gl
)

let apply_top_tac = apply_top_tac
OCaml

Innovation. Community. Security.

GitHub Discord Twitter Peertube RSS
About
Changelog Releases Industrial Users Academic Users Why OCaml
Ecosystem
Packages Community Events OCaml Planet Jobs
Resources
Install OCaml Get Started Platform Tools Language Manual Standard Library API Books Exercises Papers OCaml Playground Logo
Policies
Carbon Footprint Governance Privacy Code of Conduct