(***********************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) (* 'a val sig_sig : goal sigma -> global_constraints val project : goal sigma -> enamed_declarations val re_sig : 'a -> global_constraints -> 'a sigma val unpackage : 'a sigma -> global_constraints ref * 'a val repackage : global_constraints ref -> 'a -> 'a sigma val apply_sig_tac : global_constraints ref -> ('a sigma -> 'b sigma * 'c) -> 'a -> 'b * 'c val pf_concl : goal sigma -> constr val pf_env : goal sigma -> env val pf_hyps : goal sigma -> named_context (*i val pf_untyped_hyps : goal sigma -> (identifier * constr) list i*) val pf_hyps_types : goal sigma -> (identifier * constr) list val pf_nth_hyp_id : goal sigma -> int -> identifier val pf_last_hyp : goal sigma -> named_declaration val pf_ids_of_hyps : goal sigma -> identifier list val pf_ctxt : goal sigma -> ctxtty val pf_global : goal sigma -> identifier -> constr val pf_parse_const : goal sigma -> string -> constr val pf_type_of : goal sigma -> constr -> constr val pf_check_type : goal sigma -> constr -> constr -> constr val pf_execute : goal sigma -> constr -> unsafe_judgment val hnf_type_of : goal sigma -> constr -> constr val pf_interp_constr : goal sigma -> Coqast.t -> constr val pf_interp_type : goal sigma -> Coqast.t -> constr val pf_get_hyp : goal sigma -> identifier -> constr option * types val pf_get_hyp_typ : goal sigma -> identifier -> types val pf_reduction_of_redexp : goal sigma -> red_expr -> constr -> constr val pf_reduce : (env -> enamed_declarations -> constr -> constr) -> goal sigma -> constr -> constr val pf_whd_betadeltaiota : goal sigma -> constr -> constr val pf_whd_betadeltaiota_stack : goal sigma -> constr -> constr * constr list val pf_hnf_constr : goal sigma -> constr -> constr val pf_red_product : goal sigma -> constr -> constr val pf_nf : goal sigma -> constr -> constr val pf_nf_betaiota : goal sigma -> constr -> constr val pf_reduce_to_quantified_ind : goal sigma -> types -> inductive * types val pf_reduce_to_atomic_ind : goal sigma -> types -> inductive * types val pf_compute : goal sigma -> constr -> constr val pf_unfoldn : (int list * Closure.evaluable_global_reference) list -> goal sigma -> constr -> constr val pf_const_value : goal sigma -> constant -> constr val pf_conv_x : goal sigma -> constr -> constr -> bool val pf_conv_x_leq : goal sigma -> constr -> constr -> bool type transformation_tactic = proof_tree -> (goal list * validation) val frontier : transformation_tactic (*s Functions for handling the state of the proof editor. *) type pftreestate val proof_of_pftreestate : pftreestate -> proof_tree val cursor_of_pftreestate : pftreestate -> int list val is_top_pftreestate : pftreestate -> bool val evc_of_pftreestate : pftreestate -> enamed_declarations val top_goal_of_pftreestate : pftreestate -> goal sigma val nth_goal_of_pftreestate : int -> pftreestate -> goal sigma val traverse : int -> pftreestate -> pftreestate val weak_undo_pftreestate : pftreestate -> pftreestate val solve_nth_pftreestate : int -> tactic -> pftreestate -> pftreestate val solve_pftreestate : tactic -> pftreestate -> pftreestate val mk_pftreestate : goal -> pftreestate val extract_open_pftreestate : pftreestate -> constr * (int * types) list val extract_pftreestate : pftreestate -> constr val first_unproven : pftreestate -> pftreestate val last_unproven : pftreestate -> pftreestate val nth_unproven : int -> pftreestate -> pftreestate val node_prev_unproven : int -> pftreestate -> pftreestate val node_next_unproven : int -> pftreestate -> pftreestate val next_unproven : pftreestate -> pftreestate val prev_unproven : pftreestate -> pftreestate val top_of_tree : pftreestate -> pftreestate val change_constraints_pftreestate : global_constraints -> pftreestate -> pftreestate val instantiate_pf : int -> constr -> pftreestate -> pftreestate val instantiate_pf_com : int -> Coqast.t -> pftreestate -> pftreestate (*s Tacticals re-exported from the Refiner module. *) (* A special exception for levels for the Fail tactic *) exception FailError of int val tclIDTAC : tactic val tclORELSE : tactic -> tactic -> tactic val tclTHEN : tactic -> tactic -> tactic val tclTHENLIST : tactic list -> tactic val tclTHEN_i : tactic -> (int -> tactic) -> tactic val tclTHENL : tactic -> tactic -> tactic val tclTHENS : tactic -> tactic list -> tactic val tclTHENSi : tactic -> tactic list -> (int -> tactic) -> tactic val tclTHENST : tactic -> tactic list -> tactic -> tactic val tclTHENSI : tactic -> tactic list -> tactic val tclREPEAT : tactic -> tactic val tclREPEAT_MAIN : tactic -> tactic val tclFIRST : tactic list -> tactic val tclSOLVE : tactic list -> tactic val tclTRY : tactic -> tactic val tclTHENTRY : tactic -> tactic -> tactic val tclCOMPLETE : tactic -> tactic val tclAT_LEAST_ONCE : tactic -> tactic val tclFAIL : int -> tactic val tclDO : int -> tactic -> tactic val tclPROGRESS : tactic -> tactic val tclWEAK_PROGRESS : tactic -> tactic val tclNOTSAMEGOAL : tactic -> tactic val tclINFO : tactic -> tactic val unTAC : tactic -> goal sigma -> proof_tree sigma val vernac_tactic : tactic_expression -> tactic val context : ctxtty -> tactic (*s The most primitive tactics. *) val refiner : rule -> tactic val introduction : identifier -> tactic val intro_replacing : identifier -> tactic val internal_cut : identifier -> types -> tactic val internal_cut_rev : identifier -> types -> tactic val refine : constr -> tactic val convert_concl : types -> tactic val convert_hyp : identifier -> types -> tactic val convert_deftype : identifier -> types -> tactic val convert_defbody : identifier -> constr -> tactic val thin : identifier list -> tactic val move_hyp : bool -> identifier -> identifier -> tactic val mutual_fix : identifier list -> int list -> constr list -> tactic val mutual_cofix : identifier list -> constr list -> tactic val rename_bound_var_goal : tactic (*s Tactics handling a list of goals. *) type validation_list = proof_tree list -> proof_tree list type tactic_list = (goal list sigma) -> (goal list sigma) * validation_list val first_goal : 'a list sigma -> 'a sigma val goal_goal_list : 'a sigma -> 'a list sigma val apply_tac_list : tactic -> tactic_list val then_tactic_list : tactic_list -> tactic_list -> tactic_list val tactic_list_tactic : tactic_list -> tactic val tclFIRSTLIST : tactic_list list -> tactic_list val tclIDTAC_list : tactic_list (*s Tactic Registration. *) val add_tactic : string -> (tactic_arg list -> tactic) -> unit val overwriting_tactic : string -> (tactic_arg list -> tactic) -> unit (*s Transformation of tactic arguments. *) type ('a,'b) parse_combinator = ('a -> tactic) -> ('b -> tactic) val tactic_com : (constr,Coqast.t) parse_combinator val tactic_com_sort : (constr,Coqast.t) parse_combinator val tactic_com_list : (constr list, Coqast.t list) parse_combinator val tactic_bind_list : ((bindOcc * constr) list, (bindOcc * Coqast.t) list) parse_combinator val tactic_com_bind_list : (constr * (bindOcc * constr) list, Coqast.t * (bindOcc * Coqast.t) list) parse_combinator val tactic_com_bind_list_list : ((constr * (bindOcc * constr) list) list, (Coqast.t * (bindOcc * Coqast.t) list) list) parse_combinator (*s Hiding the implementation of tactics. *) val hide_tactic : string -> (tactic_arg list -> tactic) -> (tactic_arg list -> tactic) val overwrite_hidden_tactic : string -> (tactic_arg list -> tactic) -> (tactic_arg list -> tactic) type 'a hide_combinator = string -> ('a -> tactic) -> ('a -> tactic) val hide_atomic_tactic : string -> tactic -> tactic val hide_constr_tactic : constr hide_combinator val hide_openconstr_tactic : Pretyping.open_constr hide_combinator val hide_constrl_tactic : (constr list) hide_combinator val hide_numarg_tactic : int hide_combinator val hide_ident_tactic : identifier hide_combinator val hide_identl_tactic : hyp_location list hide_combinator val hide_string_tactic : string hide_combinator val hide_bindl_tactic : ((bindOcc * constr) list) hide_combinator val hide_cbindl_tactic : (constr * (bindOcc * constr) list) hide_combinator val hide_cbindll_tactic : ((constr * (bindOcc * constr) list) list) hide_combinator (*s Pretty-printing functions. *) (*i*) open Pp (*i*) val pr_com : 'a Evd.evar_map -> goal -> Coqast.t -> std_ppcmds val pr_gls : goal sigma -> std_ppcmds val pr_glls : goal list sigma -> std_ppcmds val pr_tactic : tactic_expression -> std_ppcmds