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