+val tempi_type_of_aux : float ref
+val tempi_subst : float ref
+val tempi_type_of_aux_subst : float ref
+
+(*** delifting ***)
+
+val delift :
+ int -> substitution -> Cic.context -> Cic.metasenv ->
+ (Cic.term option) list -> Cic.term ->
+ Cic.term * Cic.metasenv * substitution
+val restrict :
+ substitution -> (int * int) list -> Cic.metasenv ->
+ Cic.metasenv * substitution
+(** {2 Pretty printers} *)
+
+val ppsubst_unfolded: substitution -> string
+val ppsubst: substitution -> string
+val ppterm: substitution -> Cic.term -> string
+val ppcontext: ?sep: string -> substitution -> Cic.context -> string
+val ppterm_in_context:
+ substitution -> Cic.term -> (Cic.name option) list -> string
+val ppmetasenv: ?sep: string -> Cic.metasenv -> substitution -> string
+
+(** {2 Format-like pretty printers}
+ * As above with prototypes suitable for toplevel/ocamldebug printers. No
+ * subsitutions are applied here since such printers are required to be invoked
+ * with only one argument.
+ *)
+
+val fppsubst: Format.formatter -> substitution -> unit
+val fppterm: Format.formatter -> Cic.term -> unit
+val fppmetasenv: Format.formatter -> Cic.metasenv -> unit
+
+(*
+(* DEBUG *)
+val print_counters: unit -> unit
+val reset_counters: unit -> unit
+*)
+
+(* val clean_up_meta :
+ substitution -> Cic.metasenv -> Cic.term -> Cic.term
+*)