diff options
Diffstat (limited to 'tactics/equality.ml')
-rw-r--r-- | tactics/equality.ml | 161 |
1 files changed, 74 insertions, 87 deletions
diff --git a/tactics/equality.ml b/tactics/equality.ml index d64cc38ef..05c5cd5ec 100644 --- a/tactics/equality.ml +++ b/tactics/equality.ml @@ -40,7 +40,6 @@ open Eqschemes open Locus open Locusops open Misctypes -open Sigma.Notations open Proofview.Notations open Unification open Context.Named.Declaration @@ -254,16 +253,16 @@ let rewrite_keyed_unif_flags = { } let rewrite_elim with_evars frzevars cls c e = - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let flags = if Unification.is_keyed_unification () then rewrite_keyed_unif_flags else rewrite_conv_closed_unif_flags in let flags = make_flags frzevars (Tacmach.New.project gl) flags c in general_elim_clause with_evars flags cls c e - end } + end let tclNOTSAMEGOAL tac = let goal gl = Proofview.Goal.goal (Proofview.Goal.assume gl) in - Proofview.Goal.nf_enter { enter = begin fun gl -> + Proofview.Goal.nf_enter begin fun gl -> let sigma = project gl in let ev = goal gl in tac >>= fun () -> @@ -278,7 +277,7 @@ let tclNOTSAMEGOAL tac = tclZEROMSG (str"Tactic generated a subgoal identical to the original goal.") else Proofview.tclUNIT () - end } + end (* Ad hoc asymmetric general_elim_clause *) let general_elim_clause with_evars frzevars cls rew elim = @@ -313,7 +312,7 @@ let general_elim_clause with_evars frzevars tac cls c t l l2r elim = (general_elim_clause with_evars frzevars cls c elim)) tac in - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let instantiate_lemma concl = if not all then instantiate_lemma gl c t l l2r concl else instantiate_lemma_all frzevars gl c t l l2r concl @@ -325,7 +324,7 @@ let general_elim_clause with_evars frzevars tac cls c t l l2r elim = let cs = instantiate_lemma typ in if firstonly then tclFIRST (List.map try_clause cs) else tclMAP try_clause cs - end } + end (* The next function decides in particular whether to try a regular rewrite or a generalized rewrite. @@ -387,9 +386,9 @@ let find_elim hdcncl lft2rgt dep cls ot gl = Logic.eq or Jmeq just before *) assert false in - let Sigma (elim, sigma, p) = Sigma.fresh_global (Global.env ()) (Proofview.Goal.sigma gl) (ConstRef c) in + let (sigma, elim) = fresh_global (Global.env ()) (Proofview.Goal.sigma gl) (ConstRef c) in let elim = EConstr.of_constr elim in - Sigma ((elim, Safe_typing.empty_private_constants), sigma, p) + (sigma, (elim, Safe_typing.empty_private_constants)) else let scheme_name = match dep, lft2rgt, inccl with (* Non dependent case *) @@ -407,11 +406,11 @@ let find_elim hdcncl lft2rgt dep cls ot gl = | Ind (ind,u) -> let c, eff = find_scheme scheme_name ind in (* MS: cannot use pf_constr_of_global as the eliminator might be generated by side-effect *) - let Sigma (elim, sigma, p) = - Sigma.fresh_global (Global.env ()) (Proofview.Goal.sigma gl) (ConstRef c) + let (sigma, elim) = + fresh_global (Global.env ()) (Proofview.Goal.sigma gl) (ConstRef c) in let elim = EConstr.of_constr elim in - Sigma ((elim, eff), sigma, p) + (sigma, (elim, eff)) | _ -> assert false let type_of_clause cls gl = match cls with @@ -419,21 +418,19 @@ let type_of_clause cls gl = match cls with | Some id -> pf_get_hyp_typ id gl let leibniz_rewrite_ebindings_clause cls lft2rgt tac c t l with_evars frzevars dep_proof_ok hdcncl = - Proofview.Goal.s_enter { s_enter = begin fun gl -> - let evd = Sigma.to_evar_map (Proofview.Goal.sigma gl) in + Proofview.Goal.enter begin fun gl -> + let evd = Proofview.Goal.sigma gl in let isatomic = isProd evd (whd_zeta evd hdcncl) in let dep_fun = if isatomic then dependent else dependent_no_evar in let type_of_cls = type_of_clause cls gl in let dep = dep_proof_ok && dep_fun evd c type_of_cls in - let Sigma ((elim, effs), sigma, p) = find_elim hdcncl lft2rgt dep cls (Some t) gl in - let tac = + let (sigma, (elim, effs)) = find_elim hdcncl lft2rgt dep cls (Some t) gl in + Proofview.Unsafe.tclEVARS sigma <*> Proofview.tclEFFECTS effs <*> general_elim_clause with_evars frzevars tac cls c t l (match lft2rgt with None -> false | Some b -> b) {elimindex = None; elimbody = (elim,NoBindings); elimrename = None} - in - Sigma (tac, sigma, p) - end } + end let adjust_rewriting_direction args lft2rgt = match args with @@ -456,7 +453,7 @@ let general_rewrite_ebindings_clause cls lft2rgt occs frzevars dep_proof_ok ?tac if occs != AllOccurrences then ( rewrite_side_tac (Hook.get forward_general_setoid_rewrite_clause cls lft2rgt occs (c,l) ~new_goals:[]) tac) else - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let sigma = Tacmach.New.project gl in let env = Proofview.Goal.env gl in let ctype = get_type_of env sigma c in @@ -485,7 +482,7 @@ let general_rewrite_ebindings_clause cls lft2rgt occs frzevars dep_proof_ok ?tac | None -> Proofview.tclZERO ~info e (* error "The provided term does not end with an equality or a declared rewrite relation." *) end - end } + end let general_rewrite_ebindings = general_rewrite_ebindings_clause None @@ -547,9 +544,9 @@ let general_rewrite_clause l2r with_evars ?tac c cl = let ids_of_hyps = pf_ids_of_hyps gl in Id.Set.fold (fun id l -> List.remove Id.equal id l) ids_in_c ids_of_hyps in - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> do_hyps_atleastonce (ids gl) - end } + end in if cl.concl_occs == NoOccurrences then do_hyps else tclIFTHENTRYELSEMUST @@ -557,25 +554,25 @@ let general_rewrite_clause l2r with_evars ?tac c cl = do_hyps let apply_special_clear_request clear_flag f = - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let sigma = Tacmach.New.project gl in let env = Proofview.Goal.env gl in try - let ((c, bl), sigma) = run_delayed env sigma f in + let (sigma, (c, bl)) = f env sigma in apply_clear_request clear_flag (use_clear_hyp_by_default ()) c with e when catchable_exception e -> tclIDTAC - end } + end let general_multi_rewrite with_evars l cl tac = let do1 l2r f = - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let sigma = Tacmach.New.project gl in let env = Proofview.Goal.env gl in - let (c, sigma) = run_delayed env sigma f in + let (sigma, c) = f env sigma in tclWITHHOLES with_evars (general_rewrite_clause l2r with_evars ?tac c cl) sigma - end } + end in let rec doN l2r c = function | Precisely n when n <= 0 -> Proofview.tclUNIT () @@ -638,7 +635,7 @@ let replace_using_leibniz clause c1 c2 l2r unsafe try_prove_eq_opt = | None -> Proofview.tclUNIT () | Some tac -> tclCOMPLETE tac in - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let get_type_of = pf_apply get_type_of gl in let t1 = get_type_of c1 and t2 = get_type_of c2 in @@ -664,7 +661,7 @@ let replace_using_leibniz clause c1 c2 l2r unsafe try_prove_eq_opt = tclTHEN (apply sym) assumption; try_prove_eq ]) - end } + end let replace c1 c2 = replace_using_leibniz onConcl c2 c1 false false None @@ -934,13 +931,9 @@ let build_selector env sigma dirn c ind special default = let ci = make_case_info env ind RegularStyle in sigma, mkCase (ci, p, c, Array.of_list brl) -let new_global sigma gr = - let Sigma (c, sigma, _) = Evarutil.new_global (Sigma.Unsafe.of_evar_map sigma) gr - in Sigma.to_evar_map sigma, c - -let build_coq_False sigma = new_global sigma (build_coq_False ()) -let build_coq_True sigma = new_global sigma (build_coq_True ()) -let build_coq_I sigma = new_global sigma (build_coq_I ()) +let build_coq_False sigma = Evarutil.new_global sigma (build_coq_False ()) +let build_coq_True sigma = Evarutil.new_global sigma (build_coq_True ()) +let build_coq_I sigma = Evarutil.new_global sigma (build_coq_I ()) let rec build_discriminator env sigma dirn c = function | [] -> @@ -967,7 +960,7 @@ let rec build_discriminator env sigma dirn c = function *) let gen_absurdity id = - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let sigma = project gl in let hyp_typ = pf_get_hyp_typ id (Proofview.Goal.assume gl) in if is_empty_type sigma hyp_typ @@ -975,7 +968,7 @@ let gen_absurdity id = simplest_elim (mkVar id) else tclZEROMSG (str "Not the negation of an equality.") - end } + end (* Precondition: eq is leibniz equality @@ -1032,17 +1025,17 @@ let discr_positions env sigma (lbeq,eqn,(t,t1,t2)) eq_clause cpath dirn = let discrEq (lbeq,_,(t,t1,t2) as u) eq_clause = let sigma = eq_clause.evd in - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let env = Proofview.Goal.env gl in match find_positions env sigma ~no_discr:false t1 t2 with | Inr _ -> tclZEROMSG (str"Not a discriminable equality.") | Inl (cpath, (_,dirn), _) -> discr_positions env sigma u eq_clause cpath dirn - end } + end let onEquality with_evars tac (c,lbindc) = - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let type_of = pf_unsafe_type_of gl in let reduce_to_quantified_ind = pf_apply Tacred.reduce_to_quantified_ind gl in let t = type_of c in @@ -1054,10 +1047,10 @@ let onEquality with_evars tac (c,lbindc) = tclTHEN (Proofview.Unsafe.tclEVARS eq_clause'.evd) (tac (eq,eqn,eq_args) eq_clause') - end } + end let onNegatedEquality with_evars tac = - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let sigma = Tacmach.New.project gl in let ccl = Proofview.Goal.concl gl in let env = Proofview.Goal.env gl in @@ -1068,7 +1061,7 @@ let onNegatedEquality with_evars tac = onEquality with_evars tac (mkVar id,NoBindings))) | _ -> tclZEROMSG (str "Not a negated primitive equality.") - end } + end let discrSimpleClause with_evars = function | None -> onNegatedEquality with_evars discrEq @@ -1327,7 +1320,7 @@ let eq_dec_scheme_kind_name = ref (fun _ -> failwith "eq_dec_scheme undefined") let set_eq_dec_scheme_kind k = eq_dec_scheme_kind_name := (fun _ -> k) let inject_if_homogenous_dependent_pair ty = - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> try let sigma = Tacmach.New.project gl in let eq,u,(t,t1,t2) = find_this_eq_data_decompose gl ty in @@ -1367,7 +1360,7 @@ let inject_if_homogenous_dependent_pair ty = ])] with Exit -> Proofview.tclUNIT () - end } + end (* Given t1=t2 Inj calculates the whd normal forms of t1 and t2 and it expands then only when the whdnf has a constructor of an inductive type @@ -1451,7 +1444,7 @@ let injEq ?(old=false) with_evars clear_flag ipats = let post_tac c n = match ipats_style with | Some ipats -> - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let sigma = project gl in let destopt = match EConstr.kind sigma c with | Var id -> get_previous_hyp_position id gl @@ -1464,7 +1457,7 @@ let injEq ?(old=false) with_evars clear_flag ipats = then intro_patterns_bound_to with_evars n destopt ipats else intro_patterns_to with_evars destopt ipats in tclTHEN clear_tac intro_tac - end } + end | None -> tclIDTAC in injEqThen post_tac l2r @@ -1482,7 +1475,7 @@ let injConcl = injClause None false None let injHyp clear_flag id = injClause None false (Some (clear_flag,ElimOnIdent (Loc.tag id))) let decompEqThen ntac (lbeq,_,(t,t1,t2) as u) clause = - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let sigma = clause.evd in let env = Proofview.Goal.env gl in match find_positions env sigma ~no_discr:false t1 t2 with @@ -1493,7 +1486,7 @@ let decompEqThen ntac (lbeq,_,(t,t1,t2) as u) clause = | Inr posns -> inject_at_positions env sigma true u clause posns (ntac (clenv_value clause)) - end } + end let dEqThen with_evars ntac = function | None -> onNegatedEquality with_evars (decompEqThen (ntac None)) @@ -1504,10 +1497,10 @@ let dEq with_evars = (apply_clear_request clear_flag (use_clear_hyp_by_default ()) c)) let intro_decomp_eq tac data (c, t) = - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let cl = pf_apply make_clenv_binding gl (c, t) NoBindings in decompEqThen (fun _ -> tac) data cl - end } + end let _ = declare_intro_decomp_eq intro_decomp_eq @@ -1558,7 +1551,6 @@ let decomp_tuple_term env sigma c t = in decomprec (mkRel 1) c t let subst_tuple_term env sigma dep_pair1 dep_pair2 b = - let sigma = Sigma.to_evar_map sigma in let typ = get_type_of env sigma dep_pair1 in (* We find all possible decompositions *) let decomps1 = decomp_tuple_term env sigma dep_pair1 typ in @@ -1583,7 +1575,7 @@ let subst_tuple_term env sigma dep_pair1 dep_pair2 b = (* Retype to get universes right *) let sigma, expected_goal_ty = Typing.type_of env sigma expected_goal in let sigma, _ = Typing.type_of env sigma body in - Sigma.Unsafe.of_pair ((body, expected_goal), sigma) + (sigma, (body, expected_goal)) (* Like "replace" but decompose dependent equalities *) (* i.e. if equality is "exists t v = exists u w", and goal is "phi(t,u)", *) @@ -1591,42 +1583,38 @@ let subst_tuple_term env sigma dep_pair1 dep_pair2 b = (* on for further iterated sigma-tuples *) let cutSubstInConcl l2r eqn = - Proofview.Goal.s_enter { s_enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let env = Proofview.Goal.env gl in let sigma = Proofview.Goal.sigma gl in let (lbeq,u,(t,e1,e2)) = find_eq_data_decompose gl eqn in let typ = pf_concl gl in let (e1,e2) = if l2r then (e1,e2) else (e2,e1) in - let Sigma ((typ, expected), sigma, p) = subst_tuple_term env sigma e1 e2 typ in - let tac = - tclTHENFIRST + let (sigma, (typ, expected)) = subst_tuple_term env sigma e1 e2 typ in + tclTHEN (Proofview.Unsafe.tclEVARS sigma) + (tclTHENFIRST (tclTHENLIST [ (change_concl typ); (* Put in pattern form *) (replace_core onConcl l2r eqn) ]) - (change_concl expected) (* Put in normalized form *) - in - Sigma (tac, sigma, p) - end } + (change_concl expected)) (* Put in normalized form *) + end let cutSubstInHyp l2r eqn id = - Proofview.Goal.s_enter { s_enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let env = Proofview.Goal.env gl in let sigma = Proofview.Goal.sigma gl in let (lbeq,u,(t,e1,e2)) = find_eq_data_decompose gl eqn in let typ = pf_get_hyp_typ id gl in let (e1,e2) = if l2r then (e1,e2) else (e2,e1) in - let Sigma ((typ, expected), sigma, p) = subst_tuple_term env sigma e1 e2 typ in - let tac = - tclTHENFIRST + let (sigma, (typ, expected)) = subst_tuple_term env sigma e1 e2 typ in + tclTHEN (Proofview.Unsafe.tclEVARS sigma) + (tclTHENFIRST (tclTHENLIST [ (change_in_hyp None (make_change_arg typ) (id,InHypTypeOnly)); (replace_core (onHyp id) l2r eqn) ]) - (change_in_hyp None (make_change_arg expected) (id,InHypTypeOnly)) - in - Sigma (tac, sigma, p) - end } + (change_in_hyp None (make_change_arg expected) (id,InHypTypeOnly))) + end let try_rewrite tac = Proofview.tclORELSE tac begin function (e, info) -> match e with @@ -1648,11 +1636,11 @@ let cutRewriteInHyp l2r eqn id = cutRewriteClause l2r eqn (Some id) let cutRewriteInConcl l2r eqn = cutRewriteClause l2r eqn None let substClause l2r c cls = - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let eq = pf_apply get_type_of gl c in tclTHENS (cutSubstClause l2r eq cls) [Proofview.tclUNIT (); exact_no_check c] - end } + end let rewriteClause l2r c cls = try_rewrite (substClause l2r c cls) let rewriteInHyp l2r c id = rewriteClause l2r c (Some id) @@ -1713,7 +1701,7 @@ let is_eq_x gl x d = erase hyp and x; proceed by generalizing all dep hyps *) let subst_one dep_proof_ok x (hyp,rhs,dir) = - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let env = Proofview.Goal.env gl in let sigma = Tacmach.New.project gl in let hyps = Proofview.Goal.hyps (Proofview.Goal.assume gl) in @@ -1742,13 +1730,13 @@ let subst_one dep_proof_ok x (hyp,rhs,dir) = else [Proofview.tclUNIT ()]) @ [tclTRY (clear [x; hyp])]) - end } + end (* Look for an hypothesis hyp of the form "x=rhs" or "rhs=x", rewrite it everywhere, and erase hyp and x; proceed by generalizing all dep hyps *) let subst_one_var dep_proof_ok x = - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let gl = Proofview.Goal.assume gl in let decl = pf_get_hyp x gl in (* If x has a body, simply replace x with body and clear x *) @@ -1765,7 +1753,7 @@ let subst_one_var dep_proof_ok x = str".") with FoundHyp res -> res in subst_one dep_proof_ok x res - end } + end let subst_gen dep_proof_ok ids = tclMAP (subst_one_var dep_proof_ok) ids @@ -1818,7 +1806,7 @@ let subst_all ?(flags=default_subst_tactic_flags ()) () = (* Second step: treat equations *) let process hyp = - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let gl = Proofview.Goal.assume gl in let sigma = project gl in let env = Proofview.Goal.env gl in @@ -1834,19 +1822,19 @@ let subst_all ?(flags=default_subst_tactic_flags ()) () = subst_one flags.rewrite_dependent_proof y' (hyp,x,false) | _ -> Proofview.tclUNIT () - end } + end in - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let ids = find_equations gl in tclMAP process ids - end } + end else (* Old implementation, not able to manage configurations like a=b, a=t, or situations like "a = S b, b = S a", or also accidentally unfolding let-ins *) - Proofview.Goal.enter { enter = begin fun gl -> + Proofview.Goal.enter begin fun gl -> let sigma = project gl in let find_eq_data_decompose = find_eq_data_decompose gl in let test (_,c) = @@ -1865,7 +1853,7 @@ let subst_all ?(flags=default_subst_tactic_flags ()) () = let ids = List.map_filter test hyps in let ids = List.uniquize ids in subst_gen flags.rewrite_dependent_proof ids - end } + end (* Rewrite the first assumption for which a condition holds and gives the direction of the rewrite *) @@ -1902,11 +1890,10 @@ let rewrite_assumption_cond cond_eq_term cl = with | Failure _ | UserError _ -> arec rest gl end in - Proofview.Goal.enter { enter = begin fun gl -> - let gl = Proofview.Goal.lift gl Sigma.Unsafe.le in + Proofview.Goal.enter begin fun gl -> let hyps = Proofview.Goal.hyps gl in arec hyps gl - end } + end (* Generalize "subst x" to substitution of subterm appearing as an equation in the context, but not clearing the hypothesis *) |