theory Lift

imports "Nominal2_Atoms" "Nominal2_Eqvt" "Nominal2_Supp" "Abs" "Perm" "Fv" "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)), 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

*}

ML {*

fun define_fv_alpha_export dt binds bns ctxt =

let

  val ((((fv_ts_loc, fv_def_loc), ord_fv_ts_loc), alpha), ctxt') =

    define_fv_alpha dt binds bns ctxt;

  val alpha_ts_loc = #preds alpha

  val alpha_induct_loc = #induct alpha

  val alpha_intros_loc = #intrs alpha;

  val alpha_cases_loc = #elims alpha

  val morphism = ProofContext.export_morphism ctxt' ctxt;

  val fv_ts = map (Morphism.term morphism) fv_ts_loc;

  val ord_fv_ts = map (Morphism.term morphism) ord_fv_ts_loc;

  val fv_def = Morphism.fact morphism fv_def_loc;

  val alpha_ts = map (Morphism.term morphism) alpha_ts_loc;

  val alpha_induct = Morphism.thm morphism alpha_induct_loc;

  val alpha_intros = Morphism.fact morphism alpha_intros_loc

  val alpha_cases = Morphism.fact morphism alpha_cases_loc

in

  ((((fv_ts, ord_fv_ts), fv_def), ((alpha_ts, alpha_intros), (alpha_cases, alpha_induct))), ctxt')

end;

*}

end