(************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) (* "; "<-" ; "by" ] let _ = List.iter Lexer.add_keyword tactic_kw let err () = raise Stream.Failure (* Hack to parse "(x:=t)" as an explicit argument without conflicts with the *) (* admissible notation "(x t)" *) let test_lpar_id_coloneq = Gram.Entry.of_parser "lpar_id_coloneq" (fun strm -> match get_tok (stream_nth 0 strm) with | KEYWORD "(" -> (match get_tok (stream_nth 1 strm) with | IDENT _ -> (match get_tok (stream_nth 2 strm) with | KEYWORD ":=" -> () | _ -> err ()) | _ -> err ()) | _ -> err ()) (* idem for (x:=t) and (1:=t) *) let test_lpar_idnum_coloneq = Gram.Entry.of_parser "test_lpar_idnum_coloneq" (fun strm -> match get_tok (stream_nth 0 strm) with | KEYWORD "(" -> (match get_tok (stream_nth 1 strm) with | IDENT _ | INT _ -> (match get_tok (stream_nth 2 strm) with | KEYWORD ":=" -> () | _ -> err ()) | _ -> err ()) | _ -> err ()) (* idem for (x:t) *) let test_lpar_id_colon = Gram.Entry.of_parser "lpar_id_colon" (fun strm -> match get_tok (stream_nth 0 strm) with | KEYWORD "(" -> (match get_tok (stream_nth 1 strm) with | IDENT _ -> (match get_tok (stream_nth 2 strm) with | KEYWORD ":" -> () | _ -> err ()) | _ -> err ()) | _ -> err ()) (* idem for (x1..xn:t) [n^2 complexity but exceptional use] *) let check_for_coloneq = Gram.Entry.of_parser "lpar_id_colon" (fun strm -> let rec skip_to_rpar p n = match get_tok (list_last (Stream.npeek n strm)) with | KEYWORD "(" -> skip_to_rpar (p+1) (n+1) | KEYWORD ")" -> if p=0 then n+1 else skip_to_rpar (p-1) (n+1) | KEYWORD "." -> err () | _ -> skip_to_rpar p (n+1) in let rec skip_names n = match get_tok (list_last (Stream.npeek n strm)) with | IDENT _ | KEYWORD "_" -> skip_names (n+1) | KEYWORD ":" -> skip_to_rpar 0 (n+1) (* skip a constr *) | _ -> err () in let rec skip_binders n = match get_tok (list_last (Stream.npeek n strm)) with | KEYWORD "(" -> skip_binders (skip_names (n+1)) | IDENT _ | KEYWORD "_" -> skip_binders (n+1) | KEYWORD ":=" -> () | _ -> err () in match get_tok (stream_nth 0 strm) with | KEYWORD "(" -> skip_binders 2 | _ -> err ()) let lookup_at_as_coma = Gram.Entry.of_parser "lookup_at_as_coma" (fun strm -> match get_tok (stream_nth 0 strm) with | KEYWORD (","|"at"|"as") -> () | _ -> err ()) open Constr open Prim open Tactic let mk_fix_tac (loc,id,bl,ann,ty) = let n = match bl,ann with [([_],_,_)], None -> 1 | _, Some x -> let ids = List.map snd (List.flatten (List.map pi1 bl)) in (try list_index (snd x) ids with Not_found -> error "No such fix variable.") | _ -> error "Cannot guess decreasing argument of fix." in (id,n,CProdN(loc,bl,ty)) let mk_cofix_tac (loc,id,bl,ann,ty) = let _ = Option.map (fun (aloc,_) -> user_err_loc (aloc,"Constr:mk_cofix_tac", Pp.str"Annotation forbidden in cofix expression.")) ann in (id,CProdN(loc,bl,ty)) (* Functions overloaded by quotifier *) let induction_arg_of_constr (c,lbind as clbind) = if lbind = NoBindings then try ElimOnIdent (Constrexpr_ops.constr_loc c,snd(Constrexpr_ops.coerce_to_id c)) with _ -> ElimOnConstr clbind else ElimOnConstr clbind let mkTacCase with_evar = function | [([ElimOnConstr cl],None,(None,None))],None -> TacCase (with_evar,cl) (* Reinterpret numbers as a notation for terms *) | [([(ElimOnAnonHyp n)],None,(None,None))],None -> TacCase (with_evar, (CPrim (dummy_loc, Numeral (Bigint.of_string (string_of_int n))), NoBindings)) (* Reinterpret ident as notations for variables in the context *) (* because we don't know if they are quantified or not *) | [([ElimOnIdent id],None,(None,None))],None -> TacCase (with_evar,(CRef (Ident id),NoBindings)) | ic -> if List.exists (fun (cl,a,b) -> List.exists (function ElimOnAnonHyp _ -> true | _ -> false) cl) (fst ic) then error "Use of numbers as direct arguments of 'case' is not supported."; TacInductionDestruct (false,with_evar,ic) let rec mkCLambdaN_simple_loc loc bll c = match bll with | ((loc1,_)::_ as idl,bk,t) :: bll -> CLambdaN (loc,[idl,bk,t],mkCLambdaN_simple_loc (join_loc loc1 loc) bll c) | ([],_,_) :: bll -> mkCLambdaN_simple_loc loc bll c | [] -> c let mkCLambdaN_simple bl c = if bl=[] then c else let loc = join_loc (fst (List.hd (pi1 (List.hd bl)))) (Constrexpr_ops.constr_loc c) in mkCLambdaN_simple_loc loc bl c let loc_of_ne_list l = join_loc (fst (List.hd l)) (fst (list_last l)) let map_int_or_var f = function | ArgArg x -> ArgArg (f x) | ArgVar _ as y -> y let all_concl_occs_clause = { onhyps=Some[]; concl_occs=AllOccurrences } let has_no_specified_occs cl = (cl.onhyps = None || List.for_all (fun ((occs,_),_) -> occs = AllOccurrences) (Option.get cl.onhyps)) && (cl.concl_occs = AllOccurrences || cl.concl_occs = NoOccurrences) let merge_occurrences loc cl = function | None -> if has_no_specified_occs cl then (None, cl) else user_err_loc (loc,"",str "Found an \"at\" clause without \"with\" clause.") | Some (occs,p) -> (Some p, if occs = AllOccurrences then cl else if cl = all_concl_occs_clause then { onhyps=Some[]; concl_occs=occs } else match cl.onhyps with | Some [(occs',id),l] when occs' = AllOccurrences && cl.concl_occs = NoOccurrences -> { cl with onhyps=Some[(occs,id),l] } | _ -> if has_no_specified_occs cl then user_err_loc (loc,"",str "Unable to interpret the \"at\" clause; move it in the \"in\" clause.") else user_err_loc (loc,"",str "Cannot use clause \"at\" twice.")) (* Auxiliary grammar rules *) GEXTEND Gram GLOBAL: simple_tactic constr_with_bindings quantified_hypothesis bindings red_expr int_or_var open_constr casted_open_constr simple_intropattern; int_or_var: [ [ n = integer -> ArgArg n | id = identref -> ArgVar id ] ] ; nat_or_var: [ [ n = natural -> ArgArg n | id = identref -> ArgVar id ] ] ; (* An identifier or a quotation meta-variable *) id_or_meta: [ [ id = identref -> AI id (* This is used in quotations *) | id = METAIDENT -> MetaId (loc,id) ] ] ; open_constr: [ [ c = constr -> ((),c) ] ] ; casted_open_constr: [ [ c = constr -> ((),c) ] ] ; induction_arg: [ [ n = natural -> ElimOnAnonHyp n | c = constr_with_bindings -> induction_arg_of_constr c ] ] ; quantified_hypothesis: [ [ id = ident -> NamedHyp id | n = natural -> AnonHyp n ] ] ; conversion: [ [ c = constr -> (None, c) | c1 = constr; "with"; c2 = constr -> (Some (AllOccurrences,c1),c2) | c1 = constr; "at"; occs = occs_nums; "with"; c2 = constr -> (Some (occs,c1), c2) ] ] ; occs_nums: [ [ nl = LIST1 nat_or_var -> OnlyOccurrences nl | "-"; n = nat_or_var; nl = LIST0 int_or_var -> (* have used int_or_var instead of nat_or_var for compatibility *) AllOccurrencesBut (List.map (map_int_or_var abs) (n::nl)) ] ] ; occs: [ [ "at"; occs = occs_nums -> occs | -> AllOccurrences ] ] ; pattern_occ: [ [ c = constr; nl = occs -> (nl,c) ] ] ; unfold_occ: [ [ c = smart_global; nl = occs -> (nl,c) ] ] ; intropatterns: [ [ l = LIST0 simple_intropattern -> l ]] ; disjunctive_intropattern: [ [ "["; tc = LIST1 intropatterns SEP "|"; "]" -> loc,IntroOrAndPattern tc | "()" -> loc,IntroOrAndPattern [[]] | "("; si = simple_intropattern; ")" -> loc,IntroOrAndPattern [[si]] | "("; si = simple_intropattern; ","; tc = LIST1 simple_intropattern SEP "," ; ")" -> loc,IntroOrAndPattern [si::tc] | "("; si = simple_intropattern; "&"; tc = LIST1 simple_intropattern SEP "&" ; ")" -> (* (A & B & C) is translated into (A,(B,C)) *) let rec pairify = function | ([]|[_]|[_;_]) as l -> IntroOrAndPattern [l] | t::q -> IntroOrAndPattern [[t;(loc_of_ne_list q,pairify q)]] in loc,pairify (si::tc) ] ] ; naming_intropattern: [ [ prefix = pattern_ident -> loc, IntroFresh prefix | "?" -> loc, IntroAnonymous | id = ident -> loc, IntroIdentifier id | "*" -> loc, IntroForthcoming true | "**" -> loc, IntroForthcoming false ] ] ; intropattern_modifier: [ [ IDENT "_eqn"; id = [ ":"; id = naming_intropattern -> id | -> loc, IntroAnonymous ] -> id ] ] ; simple_intropattern: [ [ pat = disjunctive_intropattern -> pat | pat = naming_intropattern -> pat | "_" -> loc, IntroWildcard | "->" -> loc, IntroRewrite true | "<-" -> loc, IntroRewrite false ] ] ; simple_binding: [ [ "("; id = ident; ":="; c = lconstr; ")" -> (loc, NamedHyp id, c) | "("; n = natural; ":="; c = lconstr; ")" -> (loc, AnonHyp n, c) ] ] ; bindings: [ [ test_lpar_idnum_coloneq; bl = LIST1 simple_binding -> ExplicitBindings bl | bl = LIST1 constr -> ImplicitBindings bl ] ] ; opt_bindings: [ [ bl = bindings -> bl | -> NoBindings ] ] ; constr_with_bindings: [ [ c = constr; l = with_bindings -> (c, l) ] ] ; with_bindings: [ [ "with"; bl = bindings -> bl | -> NoBindings ] ] ; red_flag: [ [ IDENT "beta" -> FBeta | IDENT "iota" -> FIota | IDENT "zeta" -> FZeta | IDENT "delta"; d = delta_flag -> d ] ] ; delta_flag: [ [ "-"; "["; idl = LIST1 smart_global; "]" -> FDeltaBut idl | "["; idl = LIST1 smart_global; "]" -> FConst idl | -> FDeltaBut [] ] ] ; strategy_flag: [ [ s = LIST1 red_flag -> Redops.make_red_flag s | d = delta_flag -> all_with d ] ] ; red_tactic: [ [ IDENT "red" -> Red false | IDENT "hnf" -> Hnf | IDENT "simpl"; po = OPT pattern_occ -> Simpl po | IDENT "cbv"; s = strategy_flag -> Cbv s | IDENT "lazy"; s = strategy_flag -> Lazy s | IDENT "compute"; delta = delta_flag -> Cbv (all_with delta) | IDENT "vm_compute"; po = OPT pattern_occ -> CbvVm po | IDENT "unfold"; ul = LIST1 unfold_occ SEP "," -> Unfold ul | IDENT "fold"; cl = LIST1 constr -> Fold cl | IDENT "pattern"; pl = LIST1 pattern_occ SEP"," -> Pattern pl ] ] ; (* This is [red_tactic] including possible extensions *) red_expr: [ [ IDENT "red" -> Red false | IDENT "hnf" -> Hnf | IDENT "simpl"; po = OPT pattern_occ -> Simpl po | IDENT "cbv"; s = strategy_flag -> Cbv s | IDENT "lazy"; s = strategy_flag -> Lazy s | IDENT "compute"; delta = delta_flag -> Cbv (all_with delta) | IDENT "vm_compute"; po = OPT pattern_occ -> CbvVm po | IDENT "unfold"; ul = LIST1 unfold_occ SEP "," -> Unfold ul | IDENT "fold"; cl = LIST1 constr -> Fold cl | IDENT "pattern"; pl = LIST1 pattern_occ SEP"," -> Pattern pl | s = IDENT -> ExtraRedExpr s ] ] ; hypident: [ [ id = id_or_meta -> id,InHyp | "("; IDENT "type"; IDENT "of"; id = id_or_meta; ")" -> id,InHypTypeOnly | "("; IDENT "value"; IDENT "of"; id = id_or_meta; ")" -> id,InHypValueOnly ] ] ; hypident_occ: [ [ (id,l)=hypident; occs=occs -> ((occs,id),l) ] ] ; in_clause: [ [ "*"; occs=occs -> {onhyps=None; concl_occs=occs} | "*"; "|-"; occs=concl_occ -> {onhyps=None; concl_occs=occs} | hl=LIST0 hypident_occ SEP","; "|-"; occs=concl_occ -> {onhyps=Some hl; concl_occs=occs} | hl=LIST0 hypident_occ SEP"," -> {onhyps=Some hl; concl_occs=NoOccurrences} ] ] ; clause_dft_concl: [ [ "in"; cl = in_clause -> cl | occs=occs -> {onhyps=Some[]; concl_occs=occs} | -> all_concl_occs_clause ] ] ; clause_dft_all: [ [ "in"; cl = in_clause -> cl | -> {onhyps=None; concl_occs=AllOccurrences} ] ] ; opt_clause: [ [ "in"; cl = in_clause -> Some cl | -> None ] ] ; concl_occ: [ [ "*"; occs = occs -> occs | -> NoOccurrences ] ] ; in_hyp_list: [ [ "in"; idl = LIST1 id_or_meta -> idl | -> [] ] ] ; in_hyp_as: [ [ "in"; id = id_or_meta; ipat = as_ipat -> Some (id,ipat) | -> None ] ] ; orient: [ [ "->" -> true | "<-" -> false | -> true ]] ; simple_binder: [ [ na=name -> ([na],Default Explicit,CHole (loc, None)) | "("; nal=LIST1 name; ":"; c=lconstr; ")" -> (nal,Default Explicit,c) ] ] ; fixdecl: [ [ "("; id = ident; bl=LIST0 simple_binder; ann=fixannot; ":"; ty=lconstr; ")" -> (loc,id,bl,ann,ty) ] ] ; fixannot: [ [ "{"; IDENT "struct"; id=name; "}" -> Some id | -> None ] ] ; cofixdecl: [ [ "("; id = ident; bl=LIST0 simple_binder; ":"; ty=lconstr; ")" -> (loc,id,bl,None,ty) ] ] ; bindings_with_parameters: [ [ check_for_coloneq; "("; id = ident; bl = LIST0 simple_binder; ":="; c = lconstr; ")" -> (id, mkCLambdaN_simple bl c) ] ] ; hintbases: [ [ "with"; "*" -> None | "with"; l = LIST1 [ x = IDENT -> x] -> Some l | -> Some [] ] ] ; auto_using: [ [ "using"; l = LIST1 constr SEP "," -> l | -> [] ] ] ; trivial: [ [ IDENT "trivial" -> Off | IDENT "info_trivial" -> Info | IDENT "debug"; IDENT "trivial" -> Debug ] ] ; auto: [ [ IDENT "auto" -> Off | IDENT "info_auto" -> Info | IDENT "debug"; IDENT "auto" -> Debug ] ] ; eliminator: [ [ "using"; el = constr_with_bindings -> el ] ] ; as_ipat: [ [ "as"; ipat = simple_intropattern -> Some ipat | -> None ] ] ; with_inversion_names: [ [ "as"; ipat = simple_intropattern -> Some ipat | -> None ] ] ; with_induction_names: [ [ "as"; ipat = simple_intropattern; eq = OPT intropattern_modifier -> (eq,Some ipat) | -> (None,None) ] ] ; as_name: [ [ "as"; id = ident -> Names.Name id | -> Names.Anonymous ] ] ; by_tactic: [ [ "by"; tac = tactic_expr LEVEL "3" -> TacComplete tac | -> TacId [] ] ] ; opt_by_tactic: [ [ "by"; tac = tactic_expr LEVEL "3" -> Some tac | -> None ] ] ; rename : [ [ id1 = id_or_meta; IDENT "into"; id2 = id_or_meta -> (id1,id2) ] ] ; rewriter : [ [ "!"; c = constr_with_bindings -> (RepeatPlus,c) | ["?"| LEFTQMARK]; c = constr_with_bindings -> (RepeatStar,c) | n = natural; "!"; c = constr_with_bindings -> (Precisely n,c) | n = natural; ["?" | LEFTQMARK]; c = constr_with_bindings -> (UpTo n,c) | n = natural; c = constr_with_bindings -> (Precisely n,c) | c = constr_with_bindings -> (Precisely 1, c) ] ] ; oriented_rewriter : [ [ b = orient; p = rewriter -> let (m,c) = p in (b,m,c) ] ] ; induction_clause: [ [ lc = LIST1 induction_arg; ipats = with_induction_names; el = OPT eliminator -> (lc,el,ipats) ] ] ; one_induction_clause: [ [ ic = induction_clause; cl = opt_clause -> ([ic],cl) ] ] ; induction_clause_list: [ [ ic = LIST1 induction_clause SEP ","; cl = opt_clause -> (ic,cl) ] ] ; move_location: [ [ IDENT "after"; id = id_or_meta -> MoveAfter id | IDENT "before"; id = id_or_meta -> MoveBefore id | "at"; IDENT "top" -> MoveFirst | "at"; IDENT "bottom" -> MoveLast ] ] ; simple_tactic: [ [ (* Basic tactics *) IDENT "intros"; IDENT "until"; id = quantified_hypothesis -> TacIntrosUntil id | IDENT "intros"; pl = intropatterns -> TacIntroPattern pl | IDENT "intro"; id = ident; hto = move_location -> TacIntroMove (Some id, hto) | IDENT "intro"; hto = move_location -> TacIntroMove (None, hto) | IDENT "intro"; id = ident -> TacIntroMove (Some id, MoveLast) | IDENT "intro" -> TacIntroMove (None, MoveLast) | IDENT "assumption" -> TacAssumption | IDENT "exact"; c = constr -> TacExact c | IDENT "exact_no_check"; c = constr -> TacExactNoCheck c | IDENT "vm_cast_no_check"; c = constr -> TacVmCastNoCheck c | IDENT "apply"; cl = LIST1 constr_with_bindings SEP ","; inhyp = in_hyp_as -> TacApply (true,false,cl,inhyp) | IDENT "eapply"; cl = LIST1 constr_with_bindings SEP ","; inhyp = in_hyp_as -> TacApply (true,true,cl,inhyp) | IDENT "simple"; IDENT "apply"; cl = LIST1 constr_with_bindings SEP ","; inhyp = in_hyp_as -> TacApply (false,false,cl,inhyp) | IDENT "simple"; IDENT "eapply"; cl = LIST1 constr_with_bindings SEP","; inhyp = in_hyp_as -> TacApply (false,true,cl,inhyp) | IDENT "elim"; cl = constr_with_bindings; el = OPT eliminator -> TacElim (false,cl,el) | IDENT "eelim"; cl = constr_with_bindings; el = OPT eliminator -> TacElim (true,cl,el) | IDENT "elimtype"; c = constr -> TacElimType c | IDENT "case"; icl = induction_clause_list -> mkTacCase false icl | IDENT "ecase"; icl = induction_clause_list -> mkTacCase true icl | IDENT "casetype"; c = constr -> TacCaseType c | "fix"; n = natural -> TacFix (None,n) | "fix"; id = ident; n = natural -> TacFix (Some id,n) | "fix"; id = ident; n = natural; "with"; fd = LIST1 fixdecl -> TacMutualFix (false,id,n,List.map mk_fix_tac fd) | "cofix" -> TacCofix None | "cofix"; id = ident -> TacCofix (Some id) | "cofix"; id = ident; "with"; fd = LIST1 cofixdecl -> TacMutualCofix (false,id,List.map mk_cofix_tac fd) | IDENT "pose"; (id,b) = bindings_with_parameters -> TacLetTac (Names.Name id,b,Locusops.nowhere,true) | IDENT "pose"; b = constr; na = as_name -> TacLetTac (na,b,Locusops.nowhere,true) | IDENT "set"; (id,c) = bindings_with_parameters; p = clause_dft_concl -> TacLetTac (Names.Name id,c,p,true) | IDENT "set"; c = constr; na = as_name; p = clause_dft_concl -> TacLetTac (na,c,p,true) | IDENT "remember"; c = constr; na = as_name; p = clause_dft_all -> TacLetTac (na,c,p,false) (* Begin compatibility *) | IDENT "assert"; test_lpar_id_coloneq; "("; (loc,id) = identref; ":="; c = lconstr; ")" -> TacAssert (None,Some (loc,IntroIdentifier id),c) | IDENT "assert"; test_lpar_id_colon; "("; (loc,id) = identref; ":"; c = lconstr; ")"; tac=by_tactic -> TacAssert (Some tac,Some (loc,IntroIdentifier id),c) (* End compatibility *) | IDENT "assert"; c = constr; ipat = as_ipat; tac = by_tactic -> TacAssert (Some tac,ipat,c) | IDENT "pose"; IDENT "proof"; c = lconstr; ipat = as_ipat -> TacAssert (None,ipat,c) | IDENT "cut"; c = constr -> TacCut c | IDENT "generalize"; c = constr -> TacGeneralize [((AllOccurrences,c),Names.Anonymous)] | IDENT "generalize"; c = constr; l = LIST1 constr -> let gen_everywhere c = ((AllOccurrences,c),Names.Anonymous) in TacGeneralize (List.map gen_everywhere (c::l)) | IDENT "generalize"; c = constr; lookup_at_as_coma; nl = occs; na = as_name; l = LIST0 [","; c = pattern_occ; na = as_name -> (c,na)] -> TacGeneralize (((nl,c),na)::l) | IDENT "generalize"; IDENT "dependent"; c = constr -> TacGeneralizeDep c | IDENT "specialize"; n = OPT natural; lcb = constr_with_bindings -> TacSpecialize (n,lcb) | IDENT "lapply"; c = constr -> TacLApply c (* Derived basic tactics *) | IDENT "simple"; IDENT"induction"; h = quantified_hypothesis -> TacSimpleInductionDestruct (true,h) | IDENT "induction"; ic = one_induction_clause -> TacInductionDestruct (true,false,ic) | IDENT "einduction"; ic = one_induction_clause -> TacInductionDestruct(true,true,ic) | IDENT "double"; IDENT "induction"; h1 = quantified_hypothesis; h2 = quantified_hypothesis -> TacDoubleInduction (h1,h2) | IDENT "simple"; IDENT "destruct"; h = quantified_hypothesis -> TacSimpleInductionDestruct (false,h) | IDENT "destruct"; icl = induction_clause_list -> TacInductionDestruct(false,false,icl) | IDENT "edestruct"; icl = induction_clause_list -> TacInductionDestruct(false,true,icl) | IDENT "decompose"; IDENT "record" ; c = constr -> TacDecomposeAnd c | IDENT "decompose"; IDENT "sum"; c = constr -> TacDecomposeOr c | IDENT "decompose"; "["; l = LIST1 smart_global; "]"; c = constr -> TacDecompose (l,c) (* Automation tactic *) | d = trivial; lems = auto_using; db = hintbases -> TacTrivial (d,lems,db) | d = auto; n = OPT int_or_var; lems = auto_using; db = hintbases -> TacAuto (d,n,lems,db) (* Context management *) | IDENT "clear"; "-"; l = LIST1 id_or_meta -> TacClear (true, l) | IDENT "clear"; l = LIST0 id_or_meta -> TacClear (l=[], l) | IDENT "clearbody"; l = LIST1 id_or_meta -> TacClearBody l | IDENT "move"; hfrom = id_or_meta; hto = move_location -> TacMove (true,hfrom,hto) | IDENT "rename"; l = LIST1 rename SEP "," -> TacRename l | IDENT "revert"; l = LIST1 id_or_meta -> TacRevert l (* Constructors *) | IDENT "left"; bl = with_bindings -> TacLeft (false,bl) | IDENT "eleft"; bl = with_bindings -> TacLeft (true,bl) | IDENT "right"; bl = with_bindings -> TacRight (false,bl) | IDENT "eright"; bl = with_bindings -> TacRight (true,bl) | IDENT "split"; bl = with_bindings -> TacSplit (false,false,[bl]) | IDENT "esplit"; bl = with_bindings -> TacSplit (true,false,[bl]) | "exists"; bll = LIST1 opt_bindings SEP "," -> TacSplit (false,true,bll) | IDENT "eexists"; bll = LIST1 opt_bindings SEP "," -> TacSplit (true,true,bll) | IDENT "constructor"; n = nat_or_var; l = with_bindings -> TacConstructor (false,n,l) | IDENT "econstructor"; n = nat_or_var; l = with_bindings -> TacConstructor (true,n,l) | IDENT "constructor"; t = OPT tactic -> TacAnyConstructor (false,t) | IDENT "econstructor"; t = OPT tactic -> TacAnyConstructor (true,t) (* Equivalence relations *) | IDENT "reflexivity" -> TacReflexivity | IDENT "symmetry"; cl = clause_dft_concl -> TacSymmetry cl | IDENT "transitivity"; c = constr -> TacTransitivity (Some c) | IDENT "etransitivity" -> TacTransitivity None (* Equality and inversion *) | IDENT "rewrite"; l = LIST1 oriented_rewriter SEP ","; cl = clause_dft_concl; t=opt_by_tactic -> TacRewrite (false,l,cl,t) | IDENT "erewrite"; l = LIST1 oriented_rewriter SEP ","; cl = clause_dft_concl; t=opt_by_tactic -> TacRewrite (true,l,cl,t) | IDENT "dependent"; k = [ IDENT "simple"; IDENT "inversion" -> SimpleInversion | IDENT "inversion" -> FullInversion | IDENT "inversion_clear" -> FullInversionClear ]; hyp = quantified_hypothesis; ids = with_inversion_names; co = OPT ["with"; c = constr -> c] -> TacInversion (DepInversion (k,co,ids),hyp) | IDENT "simple"; IDENT "inversion"; hyp = quantified_hypothesis; ids = with_inversion_names; cl = in_hyp_list -> TacInversion (NonDepInversion (SimpleInversion, cl, ids), hyp) | IDENT "inversion"; hyp = quantified_hypothesis; ids = with_inversion_names; cl = in_hyp_list -> TacInversion (NonDepInversion (FullInversion, cl, ids), hyp) | IDENT "inversion_clear"; hyp = quantified_hypothesis; ids = with_inversion_names; cl = in_hyp_list -> TacInversion (NonDepInversion (FullInversionClear, cl, ids), hyp) | IDENT "inversion"; hyp = quantified_hypothesis; "using"; c = constr; cl = in_hyp_list -> TacInversion (InversionUsing (c,cl), hyp) (* Conversion *) | r = red_tactic; cl = clause_dft_concl -> TacReduce (r, cl) (* Change ne doit pas s'appliquer dans un Definition t := Eval ... *) | IDENT "change"; (oc,c) = conversion; cl = clause_dft_concl -> let p,cl = merge_occurrences loc cl oc in TacChange (p,c,cl) ] ] ; END;;