theory Lift
imports "../Nominal-General/Nominal2_Atoms"
        "../Nominal-General/Nominal2_Eqvt"
        "../Nominal-General/Nominal2_Supp"
        "Abs" "Perm" "Rsp"
begin

ML {*
fun define_quotient_types binds tys alphas equivps ctxt =
let
  fun def_ty ((b, ty), (alpha, equivp)) ctxt =
    Quotient_Type.add_quotient_type ((([], b, NoSyn), (ty, alpha, false)), equivp) ctxt;
  val alpha_equivps = List.take (equivps, length alphas)
  val (qinfo, ctxt') = fold_map def_ty ((binds ~~ tys) ~~ (alphas ~~ alpha_equivps)) ctxt;
  val qtys = map #qtyp qinfo;
in
  (qtys, ctxt')
end
*}

(* Renames schematic variables in a theorem *)
ML {*
fun rename_vars fnctn thm =
let
  val vars = Term.add_vars (prop_of thm) []
  val nvars = map (Var o ((apfst o apfst) fnctn)) vars
in
  Thm.certify_instantiate ([], (vars ~~ nvars))  thm
end
*}

ML {*
fun un_raws name =
let
  fun un_raw name = unprefix "_raw" name handle Fail _ => name
  fun add_under names = hd names :: (map (prefix "_") (tl names))
in
  implode (map un_raw (add_under (space_explode "_" name)))
end
*}

(* Similar to Tools/IsaPlanner/rw_tools.ML *)
ML {*
fun rename_term_bvars (Abs(s, ty, t)) = (Abs(un_raws s, ty, rename_term_bvars t))
  | rename_term_bvars (a $ b) = (rename_term_bvars a) $ (rename_term_bvars b)
  | rename_term_bvars x = x;

fun rename_thm_bvars th =
let
  val t = Thm.prop_of th
in
  Thm.rename_boundvars t (rename_term_bvars t) th
end;
*}

ML {*
fun lift_thm qtys ctxt thm =
let
  val un_raw_names = rename_vars un_raws
in
  rename_thm_bvars (un_raw_names (Quotient_Tacs.lifted qtys ctxt thm))
end
*}

end