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 (thms, ctxt') = fold_map def_ty ((binds ~~ tys) ~~ (alphas ~~ alpha_equivps)) ctxt;

  val quot_thms = map fst thms;

  val quots = map (HOLogic.dest_Trueprop o prop_of) quot_thms;

  val reps = map (hd o rev o snd o strip_comb) quots;

  val qtys = map (domain_type o fastype_of) reps;

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