src/HOL/Library/Old_SMT/old_smt_normalize.ML
changeset 65515 f595b7532dc9
parent 65514 d10f0bbc7ea1
child 65516 03efd17e083b
--- a/src/HOL/Library/Old_SMT/old_smt_normalize.ML	Thu Apr 20 10:45:52 2017 +0200
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,652 +0,0 @@
-(*  Title:      HOL/Library/Old_SMT/old_smt_normalize.ML
-    Author:     Sascha Boehme, TU Muenchen
-
-Normalization steps on theorems required by SMT solvers.
-*)
-
-signature OLD_SMT_NORMALIZE =
-sig
-  val drop_fact_warning: Proof.context -> thm -> unit
-  val atomize_conv: Proof.context -> conv
-  type extra_norm = Proof.context -> thm list * thm list -> thm list * thm list
-  val add_extra_norm: Old_SMT_Utils.class * extra_norm -> Context.generic ->
-    Context.generic
-  val normalize: (int * (int option * thm)) list -> Proof.context ->
-    (int * thm) list * Proof.context
-  val setup: theory -> theory
-end
-
-structure Old_SMT_Normalize: OLD_SMT_NORMALIZE =
-struct
-
-fun drop_fact_warning ctxt =
-  Old_SMT_Config.verbose_msg ctxt (prefix "Warning: dropping assumption: " o
-    Thm.string_of_thm ctxt)
-
-
-(* general theorem normalizations *)
-
-(** instantiate elimination rules **)
- 
-local
-  val (cpfalse, cfalse) =
-    `Old_SMT_Utils.mk_cprop (Thm.cterm_of @{context} @{const False})
-
-  fun inst f ct thm =
-    let val cv = f (Drule.strip_imp_concl (Thm.cprop_of thm))
-    in Thm.instantiate ([], [(dest_Var (Thm.term_of cv), ct)]) thm end
-in
-
-fun instantiate_elim thm =
-  (case Thm.concl_of thm of
-    @{const Trueprop} $ Var (_, @{typ bool}) => inst Thm.dest_arg cfalse thm
-  | Var _ => inst I cpfalse thm
-  | _ => thm)
-
-end
-
-
-(** normalize definitions **)
-
-fun norm_def thm =
-  (case Thm.prop_of thm of
-    @{const Trueprop} $ (Const (@{const_name HOL.eq}, _) $ _ $ Abs _) =>
-      norm_def (thm RS @{thm fun_cong})
-  | Const (@{const_name Pure.eq}, _) $ _ $ Abs _ =>
-      norm_def (thm RS @{thm meta_eq_to_obj_eq})
-  | _ => thm)
-
-
-(** atomization **)
-
-fun atomize_conv ctxt ct =
-  (case Thm.term_of ct of
-    @{const Pure.imp} $ _ $ _ =>
-      Conv.binop_conv (atomize_conv ctxt) then_conv
-      Conv.rewr_conv @{thm atomize_imp}
-  | Const (@{const_name Pure.eq}, _) $ _ $ _ =>
-      Conv.binop_conv (atomize_conv ctxt) then_conv
-      Conv.rewr_conv @{thm atomize_eq}
-  | Const (@{const_name Pure.all}, _) $ Abs _ =>
-      Conv.binder_conv (atomize_conv o snd) ctxt then_conv
-      Conv.rewr_conv @{thm atomize_all}
-  | _ => Conv.all_conv) ct
-
-val setup_atomize =
-  fold Old_SMT_Builtin.add_builtin_fun_ext'' [@{const_name Pure.imp},
-    @{const_name Pure.eq}, @{const_name Pure.all}, @{const_name Trueprop}]
-
-
-(** unfold special quantifiers **)
-
-local
-  val ex1_def = mk_meta_eq @{lemma
-    "Ex1 = (%P. EX x. P x & (ALL y. P y --> y = x))"
-    by (rule ext) (simp only: Ex1_def)}
-
-  val ball_def = mk_meta_eq @{lemma "Ball = (%A P. ALL x. x : A --> P x)"
-    by (rule ext)+ (rule Ball_def)}
-
-  val bex_def = mk_meta_eq @{lemma "Bex = (%A P. EX x. x : A & P x)"
-    by (rule ext)+ (rule Bex_def)}
-
-  val special_quants = [(@{const_name Ex1}, ex1_def),
-    (@{const_name Ball}, ball_def), (@{const_name Bex}, bex_def)]
-  
-  fun special_quant (Const (n, _)) = AList.lookup (op =) special_quants n
-    | special_quant _ = NONE
-
-  fun special_quant_conv _ ct =
-    (case special_quant (Thm.term_of ct) of
-      SOME thm => Conv.rewr_conv thm
-    | NONE => Conv.all_conv) ct
-in
-
-fun unfold_special_quants_conv ctxt =
-  Old_SMT_Utils.if_exists_conv (is_some o special_quant)
-    (Conv.top_conv special_quant_conv ctxt)
-
-val setup_unfolded_quants =
-  fold (Old_SMT_Builtin.add_builtin_fun_ext'' o fst) special_quants
-
-end
-
-
-(** trigger inference **)
-
-local
-  (*** check trigger syntax ***)
-
-  fun dest_trigger (Const (@{const_name pat}, _) $ _) = SOME true
-    | dest_trigger (Const (@{const_name nopat}, _) $ _) = SOME false
-    | dest_trigger _ = NONE
-
-  fun eq_list [] = false
-    | eq_list (b :: bs) = forall (equal b) bs
-
-  fun proper_trigger t =
-    t
-    |> these o try HOLogic.dest_list
-    |> map (map_filter dest_trigger o these o try HOLogic.dest_list)
-    |> (fn [] => false | bss => forall eq_list bss)
-
-  fun proper_quant inside f t =
-    (case t of
-      Const (@{const_name All}, _) $ Abs (_, _, u) => proper_quant true f u
-    | Const (@{const_name Ex}, _) $ Abs (_, _, u) => proper_quant true f u
-    | @{const trigger} $ p $ u =>
-        (if inside then f p else false) andalso proper_quant false f u
-    | Abs (_, _, u) => proper_quant false f u
-    | u1 $ u2 => proper_quant false f u1 andalso proper_quant false f u2
-    | _ => true)
-
-  fun check_trigger_error ctxt t =
-    error ("SMT triggers must only occur under quantifier and multipatterns " ^
-      "must have the same kind: " ^ Syntax.string_of_term ctxt t)
-
-  fun check_trigger_conv ctxt ct =
-    if proper_quant false proper_trigger (Old_SMT_Utils.term_of ct) then
-      Conv.all_conv ct
-    else check_trigger_error ctxt (Thm.term_of ct)
-
-
-  (*** infer simple triggers ***)
-
-  fun dest_cond_eq ct =
-    (case Thm.term_of ct of
-      Const (@{const_name HOL.eq}, _) $ _ $ _ => Thm.dest_binop ct
-    | @{const HOL.implies} $ _ $ _ => dest_cond_eq (Thm.dest_arg ct)
-    | _ => raise CTERM ("no equation", [ct]))
-
-  fun get_constrs thy (Type (n, _)) = these (Old_Datatype_Data.get_constrs thy n)
-    | get_constrs _ _ = []
-
-  fun is_constr thy (n, T) =
-    let fun match (m, U) = m = n andalso Sign.typ_instance thy (T, U)
-    in can (the o find_first match o get_constrs thy o Term.body_type) T end
-
-  fun is_constr_pat thy t =
-    (case Term.strip_comb t of
-      (Free _, []) => true
-    | (Const c, ts) => is_constr thy c andalso forall (is_constr_pat thy) ts
-    | _ => false)
-
-  fun is_simp_lhs ctxt t =
-    (case Term.strip_comb t of
-      (Const c, ts as _ :: _) =>
-        not (Old_SMT_Builtin.is_builtin_fun_ext ctxt c ts) andalso
-        forall (is_constr_pat (Proof_Context.theory_of ctxt)) ts
-    | _ => false)
-
-  fun has_all_vars vs t =
-    subset (op aconv) (vs, map Free (Term.add_frees t []))
-
-  fun minimal_pats vs ct =
-    if has_all_vars vs (Thm.term_of ct) then
-      (case Thm.term_of ct of
-        _ $ _ =>
-          (case apply2 (minimal_pats vs) (Thm.dest_comb ct) of
-            ([], []) => [[ct]]
-          | (ctss, ctss') => union (eq_set (op aconvc)) ctss ctss')
-      | _ => [])
-    else []
-
-  fun proper_mpat _ _ _ [] = false
-    | proper_mpat thy gen u cts =
-        let
-          val tps = (op ~~) (`gen (map Thm.term_of cts))
-          fun some_match u = tps |> exists (fn (t', t) =>
-            Pattern.matches thy (t', u) andalso not (t aconv u))
-        in not (Term.exists_subterm some_match u) end
-
-  val pat =
-    Old_SMT_Utils.mk_const_pat @{theory} @{const_name pat} Old_SMT_Utils.destT1
-  fun mk_pat ct = Thm.apply (Old_SMT_Utils.instT' ct pat) ct
-
-  fun mk_clist T = apply2 (Thm.cterm_of @{context}) (HOLogic.cons_const T, HOLogic.nil_const T)
-  fun mk_list (ccons, cnil) f cts = fold_rev (Thm.mk_binop ccons o f) cts cnil
-  val mk_pat_list = mk_list (mk_clist @{typ pattern})
-  val mk_mpat_list = mk_list (mk_clist @{typ "pattern list"})  
-  fun mk_trigger ctss = mk_mpat_list (mk_pat_list mk_pat) ctss
-
-  val trigger_eq =
-    mk_meta_eq @{lemma "p = trigger t p" by (simp add: trigger_def)}
-
-  fun insert_trigger_conv [] ct = Conv.all_conv ct
-    | insert_trigger_conv ctss ct =
-        let val (ctr, cp) = Thm.dest_binop (Thm.rhs_of trigger_eq) ||> rpair ct
-        in Thm.instantiate ([], map (apfst (dest_Var o Thm.term_of)) [cp, (ctr, mk_trigger ctss)]) trigger_eq end
-
-  fun infer_trigger_eq_conv outer_ctxt (ctxt, cvs) ct =
-    let
-      val (lhs, rhs) = dest_cond_eq ct
-
-      val vs = map Thm.term_of cvs
-      val thy = Proof_Context.theory_of ctxt
-
-      fun get_mpats ct =
-        if is_simp_lhs ctxt (Thm.term_of ct) then minimal_pats vs ct
-        else []
-      val gen = Variable.export_terms ctxt outer_ctxt
-      val filter_mpats = filter (proper_mpat thy gen (Thm.term_of rhs))
-
-    in insert_trigger_conv (filter_mpats (get_mpats lhs)) ct end
-
-  fun has_trigger (@{const trigger} $ _ $ _) = true
-    | has_trigger _ = false
-
-  fun try_trigger_conv cv ct =
-    if Old_SMT_Utils.under_quant has_trigger (Old_SMT_Utils.term_of ct) then
-      Conv.all_conv ct
-    else Conv.try_conv cv ct
-
-  fun infer_trigger_conv ctxt =
-    if Config.get ctxt Old_SMT_Config.infer_triggers then
-      try_trigger_conv
-        (Old_SMT_Utils.under_quant_conv (infer_trigger_eq_conv ctxt) ctxt)
-    else Conv.all_conv
-in
-
-fun trigger_conv ctxt =
-  Old_SMT_Utils.prop_conv
-    (check_trigger_conv ctxt then_conv infer_trigger_conv ctxt)
-
-val setup_trigger =
-  fold Old_SMT_Builtin.add_builtin_fun_ext''
-    [@{const_name pat}, @{const_name nopat}, @{const_name trigger}]
-
-end
-
-
-(** adding quantifier weights **)
-
-local
-  (*** check weight syntax ***)
-
-  val has_no_weight =
-    not o Term.exists_subterm (fn @{const weight} => true | _ => false)
-
-  fun is_weight (@{const weight} $ w $ t) =
-        (case try HOLogic.dest_number w of
-          SOME (_, i) => i >= 0 andalso has_no_weight t
-        | _ => false)
-    | is_weight t = has_no_weight t
-
-  fun proper_trigger (@{const trigger} $ _ $ t) = is_weight t
-    | proper_trigger t = is_weight t 
-
-  fun check_weight_error ctxt t =
-    error ("SMT weight must be a non-negative number and must only occur " ^
-      "under the top-most quantifier and an optional trigger: " ^
-      Syntax.string_of_term ctxt t)
-
-  fun check_weight_conv ctxt ct =
-    if Old_SMT_Utils.under_quant proper_trigger (Old_SMT_Utils.term_of ct) then
-      Conv.all_conv ct
-    else check_weight_error ctxt (Thm.term_of ct)
-
-
-  (*** insertion of weights ***)
-
-  fun under_trigger_conv cv ct =
-    (case Thm.term_of ct of
-      @{const trigger} $ _ $ _ => Conv.arg_conv cv
-    | _ => cv) ct
-
-  val weight_eq =
-    mk_meta_eq @{lemma "p = weight i p" by (simp add: weight_def)}
-  fun mk_weight_eq w =
-    let val cv = Thm.dest_arg1 (Thm.rhs_of weight_eq)
-    in
-      Thm.instantiate ([], [(dest_Var (Thm.term_of cv), Numeral.mk_cnumber @{ctyp int} w)])
-        weight_eq
-    end
-
-  fun add_weight_conv NONE _ = Conv.all_conv
-    | add_weight_conv (SOME weight) ctxt =
-        let val cv = Conv.rewr_conv (mk_weight_eq weight)
-        in Old_SMT_Utils.under_quant_conv (K (under_trigger_conv cv)) ctxt end
-in
-
-fun weight_conv weight ctxt = 
-  Old_SMT_Utils.prop_conv
-    (check_weight_conv ctxt then_conv add_weight_conv weight ctxt)
-
-val setup_weight = Old_SMT_Builtin.add_builtin_fun_ext'' @{const_name weight}
-
-end
-
-
-(** combined general normalizations **)
-
-fun gen_normalize1_conv ctxt weight =
-  atomize_conv ctxt then_conv
-  unfold_special_quants_conv ctxt then_conv
-  Thm.beta_conversion true then_conv
-  trigger_conv ctxt then_conv
-  weight_conv weight ctxt
-
-fun gen_normalize1 ctxt weight thm =
-  thm
-  |> instantiate_elim
-  |> norm_def
-  |> Conv.fconv_rule (Thm.beta_conversion true then_conv Thm.eta_conversion)
-  |> Drule.forall_intr_vars
-  |> Conv.fconv_rule (gen_normalize1_conv ctxt weight)
-
-fun gen_norm1_safe ctxt (i, (weight, thm)) =
-  (case try (gen_normalize1 ctxt weight) thm of
-    SOME thm' => SOME (i, thm')
-  | NONE => (drop_fact_warning ctxt thm; NONE))
-
-fun gen_normalize ctxt iwthms = map_filter (gen_norm1_safe ctxt) iwthms
-
-
-
-(* unfolding of definitions and theory-specific rewritings *)
-
-fun expand_head_conv cv ct =
-  (case Thm.term_of ct of
-    _ $ _ =>
-      Conv.fun_conv (expand_head_conv cv) then_conv
-      Conv.try_conv (Thm.beta_conversion false)
-  | _ => cv) ct
-
-
-(** rewrite bool case expressions as if expressions **)
-
-local
-  fun is_case_bool (Const (@{const_name "bool.case_bool"}, _)) = true
-    | is_case_bool _ = false
-
-  val thm = mk_meta_eq @{lemma
-    "case_bool = (%x y P. if P then x else y)" by (rule ext)+ simp}
-
-  fun unfold_conv _ =
-    Old_SMT_Utils.if_true_conv (is_case_bool o Term.head_of)
-      (expand_head_conv (Conv.rewr_conv thm))
-in
-
-fun rewrite_case_bool_conv ctxt =
-  Old_SMT_Utils.if_exists_conv is_case_bool (Conv.top_conv unfold_conv ctxt)
-
-val setup_case_bool =
-  Old_SMT_Builtin.add_builtin_fun_ext'' @{const_name "bool.case_bool"}
-
-end
-
-
-(** unfold abs, min and max **)
-
-local
-  val abs_def = mk_meta_eq @{lemma
-    "abs = (%a::'a::abs_if. if a < 0 then - a else a)"
-    by (rule ext) (rule abs_if)}
-
-  val min_def = mk_meta_eq @{lemma "min = (%a b. if a <= b then a else b)"
-    by (rule ext)+ (rule min_def)}
-
-  val max_def = mk_meta_eq  @{lemma "max = (%a b. if a <= b then b else a)"
-    by (rule ext)+ (rule max_def)}
-
-  val defs = [(@{const_name min}, min_def), (@{const_name max}, max_def),
-    (@{const_name abs}, abs_def)]
-
-  fun is_builtinT ctxt T =
-    Old_SMT_Builtin.is_builtin_typ_ext ctxt (Term.domain_type T)
-
-  fun abs_min_max ctxt (Const (n, T)) =
-        (case AList.lookup (op =) defs n of
-          NONE => NONE
-        | SOME thm => if is_builtinT ctxt T then SOME thm else NONE)
-    | abs_min_max _ _ = NONE
-
-  fun unfold_amm_conv ctxt ct =
-    (case abs_min_max ctxt (Term.head_of (Thm.term_of ct)) of
-      SOME thm => expand_head_conv (Conv.rewr_conv thm)
-    | NONE => Conv.all_conv) ct
-in
-
-fun unfold_abs_min_max_conv ctxt =
-  Old_SMT_Utils.if_exists_conv (is_some o abs_min_max ctxt)
-    (Conv.top_conv unfold_amm_conv ctxt)
-  
-val setup_abs_min_max = fold (Old_SMT_Builtin.add_builtin_fun_ext'' o fst) defs
-
-end
-
-
-(** embedding of standard natural number operations into integer operations **)
-
-local
-  val nat_embedding = @{lemma
-    "ALL n. nat (int n) = n"
-    "ALL i. i >= 0 --> int (nat i) = i"
-    "ALL i. i < 0 --> int (nat i) = 0"
-    by simp_all}
-
-  val simple_nat_ops = [
-    @{const less (nat)}, @{const less_eq (nat)},
-    @{const Suc}, @{const plus (nat)}, @{const minus (nat)}]
-
-  val mult_nat_ops =
-    [@{const times (nat)}, @{const divide (nat)}, @{const modulo (nat)}]
-
-  val nat_ops = simple_nat_ops @ mult_nat_ops
-
-  val nat_consts = nat_ops @ [@{const numeral (nat)},
-    @{const zero_class.zero (nat)}, @{const one_class.one (nat)}]
-
-  val nat_int_coercions = [@{const of_nat (int)}, @{const nat}]
-
-  val builtin_nat_ops = nat_int_coercions @ simple_nat_ops
-
-  val is_nat_const = member (op aconv) nat_consts
-
-  fun is_nat_const' @{const of_nat (int)} = true
-    | is_nat_const' t = is_nat_const t
-
-  val expands = map mk_meta_eq @{lemma
-    "0 = nat 0"
-    "1 = nat 1"
-    "(numeral :: num => nat) = (%i. nat (numeral i))"
-    "op < = (%a b. int a < int b)"
-    "op <= = (%a b. int a <= int b)"
-    "Suc = (%a. nat (int a + 1))"
-    "op + = (%a b. nat (int a + int b))"
-    "op - = (%a b. nat (int a - int b))"
-    "op * = (%a b. nat (int a * int b))"
-    "op div = (%a b. nat (int a div int b))"
-    "op mod = (%a b. nat (int a mod int b))"
-    by (fastforce simp add: nat_mult_distrib nat_div_distrib nat_mod_distrib)+}
-
-  val ints = map mk_meta_eq @{lemma
-    "int 0 = 0"
-    "int 1 = 1"
-    "int (Suc n) = int n + 1"
-    "int (n + m) = int n + int m"
-    "int (n - m) = int (nat (int n - int m))"
-    "int (n * m) = int n * int m"
-    "int (n div m) = int n div int m"
-    "int (n mod m) = int n mod int m"
-    by (auto simp add: of_nat_mult zdiv_int zmod_int)}
-
-  val int_if = mk_meta_eq @{lemma
-    "int (if P then n else m) = (if P then int n else int m)"
-    by simp}
-
-  fun mk_number_eq ctxt i lhs =
-    let
-      val eq = Old_SMT_Utils.mk_cequals lhs (Numeral.mk_cnumber @{ctyp int} i)
-      val tac =
-        Simplifier.simp_tac (put_simpset HOL_ss ctxt addsimps [@{thm of_nat_numeral}]) 1
-    in Goal.norm_result ctxt (Goal.prove_internal ctxt [] eq (K tac)) end
-
-  fun ite_conv cv1 cv2 =
-    Conv.combination_conv (Conv.combination_conv (Conv.arg_conv cv1) cv2) cv2
-
-  fun int_conv ctxt ct =
-    (case Thm.term_of ct of
-      @{const of_nat (int)} $ (n as (@{const numeral (nat)} $ _)) =>
-        Conv.rewr_conv (mk_number_eq ctxt (snd (HOLogic.dest_number n)) ct)
-    | @{const of_nat (int)} $ _ =>
-        (Conv.rewrs_conv ints then_conv Conv.sub_conv ints_conv ctxt) else_conv
-        (Conv.rewr_conv int_if then_conv
-          ite_conv (nat_conv ctxt) (int_conv ctxt)) else_conv
-        Conv.sub_conv (Conv.top_sweep_conv nat_conv) ctxt
-    | _ => Conv.no_conv) ct
-
-  and ints_conv ctxt = Conv.top_sweep_conv int_conv ctxt
-
-  and expand_conv ctxt =
-    Old_SMT_Utils.if_conv (is_nat_const o Term.head_of)
-      (expand_head_conv (Conv.rewrs_conv expands) then_conv ints_conv ctxt)
-      (int_conv ctxt)
-
-  and nat_conv ctxt = Old_SMT_Utils.if_exists_conv is_nat_const'
-    (Conv.top_sweep_conv expand_conv ctxt)
-
-  val uses_nat_int = Term.exists_subterm (member (op aconv) nat_int_coercions)
-in
-
-val nat_as_int_conv = nat_conv
-
-fun add_nat_embedding thms =
-  if exists (uses_nat_int o Thm.prop_of) thms then (thms, nat_embedding)
-  else (thms, [])
-
-val setup_nat_as_int =
-  Old_SMT_Builtin.add_builtin_typ_ext (@{typ nat}, K true) #>
-  fold (Old_SMT_Builtin.add_builtin_fun_ext' o Term.dest_Const) builtin_nat_ops
-
-end
-
-
-(** normalize numerals **)
-
-local
-  (*
-    rewrite Numeral1 into 1
-    rewrite - 0 into 0
-  *)
-
-  fun is_irregular_number (Const (@{const_name numeral}, _) $ Const (@{const_name num.One}, _)) =
-        true
-    | is_irregular_number (Const (@{const_name uminus}, _) $ Const (@{const_name Groups.zero}, _)) =
-        true
-    | is_irregular_number _ =
-        false;
-
-  fun is_strange_number ctxt t = is_irregular_number t andalso Old_SMT_Builtin.is_builtin_num ctxt t;
-
-  val proper_num_ss =
-    simpset_of (put_simpset HOL_ss @{context}
-      addsimps @{thms Num.numeral_One minus_zero})
-
-  fun norm_num_conv ctxt =
-    Old_SMT_Utils.if_conv (is_strange_number ctxt)
-      (Simplifier.rewrite (put_simpset proper_num_ss ctxt)) Conv.no_conv
-in
-
-fun normalize_numerals_conv ctxt =
-  Old_SMT_Utils.if_exists_conv (is_strange_number ctxt)
-    (Conv.top_sweep_conv norm_num_conv ctxt)
-
-end
-
-
-(** combined unfoldings and rewritings **)
-
-fun unfold_conv ctxt =
-  rewrite_case_bool_conv ctxt then_conv
-  unfold_abs_min_max_conv ctxt then_conv
-  nat_as_int_conv ctxt then_conv
-  Thm.beta_conversion true
-
-fun unfold1 ctxt = map (apsnd (Conv.fconv_rule (unfold_conv ctxt)))
-
-fun burrow_ids f ithms =
-  let
-    val (is, thms) = split_list ithms
-    val (thms', extra_thms) = f thms
-  in (is ~~ thms') @ map (pair ~1) extra_thms end
-
-fun unfold2 ctxt ithms =
-  ithms
-  |> map (apsnd (Conv.fconv_rule (normalize_numerals_conv ctxt)))
-  |> burrow_ids add_nat_embedding
-
-
-
-(* overall normalization *)
-
-type extra_norm = Proof.context -> thm list * thm list -> thm list * thm list
-
-structure Extra_Norms = Generic_Data
-(
-  type T = extra_norm Old_SMT_Utils.dict
-  val empty = []
-  val extend = I
-  fun merge data = Old_SMT_Utils.dict_merge fst data
-)
-
-fun add_extra_norm (cs, norm) =
-  Extra_Norms.map (Old_SMT_Utils.dict_update (cs, norm))
-
-fun apply_extra_norms ctxt ithms =
-  let
-    val cs = Old_SMT_Config.solver_class_of ctxt
-    val es = Old_SMT_Utils.dict_lookup (Extra_Norms.get (Context.Proof ctxt)) cs
-  in burrow_ids (fold (fn e => e ctxt) es o rpair []) ithms end
-
-local
-  val ignored = member (op =) [@{const_name All}, @{const_name Ex},
-    @{const_name Let}, @{const_name If}, @{const_name HOL.eq}]
-
-  val schematic_consts_of =
-    let
-      fun collect (@{const trigger} $ p $ t) =
-            collect_trigger p #> collect t
-        | collect (t $ u) = collect t #> collect u
-        | collect (Abs (_, _, t)) = collect t
-        | collect (t as Const (n, _)) = 
-            if not (ignored n) then Monomorph.add_schematic_consts_of t else I
-        | collect _ = I
-      and collect_trigger t =
-        let val dest = these o try HOLogic.dest_list 
-        in fold (fold collect_pat o dest) (dest t) end
-      and collect_pat (Const (@{const_name pat}, _) $ t) = collect t
-        | collect_pat (Const (@{const_name nopat}, _) $ t) = collect t
-        | collect_pat _ = I
-    in (fn t => collect t Symtab.empty) end
-in
-
-fun monomorph ctxt xthms =
-  let val (xs, thms) = split_list xthms
-  in
-    map (pair 1) thms
-    |> Monomorph.monomorph schematic_consts_of ctxt
-    |> maps (uncurry (map o pair)) o map2 pair xs o map (map snd)
-  end
-
-end
-
-fun normalize iwthms ctxt =
-  iwthms
-  |> gen_normalize ctxt
-  |> unfold1 ctxt
-  |> monomorph ctxt
-  |> unfold2 ctxt
-  |> apply_extra_norms ctxt
-  |> rpair ctxt
-
-val setup = Context.theory_map (
-  setup_atomize #>
-  setup_unfolded_quants #>
-  setup_trigger #>
-  setup_weight #>
-  setup_case_bool #>
-  setup_abs_min_max #>
-  setup_nat_as_int)
-
-end