open Term open Libnames open Coqlib open Environ open Pp open Evd open Decl_kinds open Topconstr open Rawterm open Util open Evarutil open Names open Sign val ($) : ('a -> 'b) -> 'a -> 'b val contrib_name : string val subtac_dir : string list val fix_sub_module : string val fixsub_module : string list val init_constant : string list -> string -> constr val init_reference : string list -> string -> global_reference val fixsub : constr lazy_t val well_founded_ref : global_reference lazy_t val acc_ref : global_reference lazy_t val acc_inv_ref : global_reference lazy_t val fix_sub_ref : global_reference lazy_t val fix_measure_sub_ref : global_reference lazy_t val lt_ref : global_reference lazy_t val lt_wf_ref : global_reference lazy_t val refl_ref : global_reference lazy_t val sig_ref : reference val proj1_sig_ref : reference val proj2_sig_ref : reference val build_sig : unit -> coq_sigma_data val sig_ : coq_sigma_data lazy_t val eq_ind : constr lazy_t val eq_rec : constr lazy_t val eq_rect : constr lazy_t val eq_refl : constr lazy_t val not_ref : constr lazy_t val and_typ : constr lazy_t val eqdep_ind : constr lazy_t val eqdep_rec : constr lazy_t val jmeq_ind : constr lazy_t val jmeq_rec : constr lazy_t val jmeq_refl : constr lazy_t val boolind : constr lazy_t val sumboolind : constr lazy_t val natind : constr lazy_t val intind : constr lazy_t val existSind : constr lazy_t val existS : coq_sigma_data lazy_t val prod : coq_sigma_data lazy_t val well_founded : constr lazy_t val fix : constr lazy_t val acc : constr lazy_t val acc_inv : constr lazy_t val extconstr : constr -> constr_expr val extsort : sorts -> constr_expr val my_print_constr : env -> constr -> std_ppcmds val my_print_constr_expr : constr_expr -> std_ppcmds val my_print_evardefs : evar_defs -> std_ppcmds val my_print_context : env -> std_ppcmds val my_print_rel_context : env -> rel_context -> std_ppcmds val my_print_named_context : env -> std_ppcmds val my_print_env : env -> std_ppcmds val my_print_rawconstr : env -> rawconstr -> std_ppcmds val my_print_tycon_type : env -> type_constraint_type -> std_ppcmds val debug : int -> std_ppcmds -> unit val debug_msg : int -> std_ppcmds -> std_ppcmds val trace : std_ppcmds -> unit val wf_relations : (constr, constr lazy_t) Hashtbl.t type binders = local_binder list val app_opt : ('a -> 'a) option -> 'a -> 'a val print_args : env -> constr array -> std_ppcmds val make_existential : loc -> ?opaque:bool -> env -> evar_defs ref -> types -> constr val make_existential_expr : loc -> 'a -> 'b -> constr_expr val string_of_hole_kind : hole_kind -> string val evars_of_term : evar_map -> evar_map -> constr -> evar_map val non_instanciated_map : env -> evar_defs ref -> evar_map -> evar_map val global_kind : logical_kind val goal_kind : locality_flag * goal_object_kind val global_proof_kind : logical_kind val goal_proof_kind : locality_flag * goal_object_kind val global_fix_kind : logical_kind val goal_fix_kind : locality_flag * goal_object_kind val mkSubset : name -> constr -> constr -> constr val mkProj1 : constr -> constr -> constr -> constr val mkProj1 : constr -> constr -> constr -> constr val mk_ex_pi1 : constr -> constr -> constr -> constr val mk_ex_pi1 : constr -> constr -> constr -> constr val mk_eq : types -> constr -> constr -> types val mk_eq_refl : types -> constr -> constr val mk_JMeq : types -> constr-> types -> constr -> types val mk_JMeq_refl : types -> constr -> constr val mk_conj : types list -> types val mk_not : types -> types val build_dependent_sum : (identifier * types) list -> Proof_type.tactic * types val and_tac : (identifier * 'a * constr * Proof_type.tactic) list -> ((constr -> (identifier * 'a * constr * constr) list) -> Tacexpr.declaration_hook) -> unit val destruct_ex : constr -> constr -> constr list val id_of_name : name -> identifier val definition_message : constant -> std_ppcmds val recursive_message : constant array -> std_ppcmds val print_message : std_ppcmds -> unit val solve_by_tac : evar_info -> Tacmach.tactic -> constr val string_of_list : string -> ('a -> string) -> 'a list -> string val string_of_intset : Intset.t -> string val pr_evar_defs : evar_defs -> Pp.std_ppcmds val tactics_call : string -> Tacexpr.glob_tactic_arg list -> Tacexpr.glob_tactic_expr val pp_list : ('a -> Pp.std_ppcmds) -> 'a list -> Pp.std_ppcmds