src/Pure/drule.ML
author wenzelm
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(*  Title:      Pure/drule.ML
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    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
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Derived rules and other operations on theorems.
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*)
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infix 0 RS RSN RL RLN MRS OF COMP INCR_COMP COMP_INCR;
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signature BASIC_DRULE =
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sig
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  val mk_implies: cterm * cterm -> cterm
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  val list_implies: cterm list * cterm -> cterm
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  val strip_imp_prems: cterm -> cterm list
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  val strip_imp_concl: cterm -> cterm
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  val cprems_of: thm -> cterm list
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  val cterm_fun: (term -> term) -> (cterm -> cterm)
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  val ctyp_fun: (typ -> typ) -> (ctyp -> ctyp)
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  val forall_intr_list: cterm list -> thm -> thm
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  val forall_intr_vars: thm -> thm
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  val forall_elim_list: cterm list -> thm -> thm
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  val gen_all: thm -> thm
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  val lift_all: cterm -> thm -> thm
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  val implies_elim_list: thm -> thm list -> thm
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  val implies_intr_list: cterm list -> thm -> thm
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  val instantiate_normalize: (ctyp * ctyp) list * (cterm * cterm) list -> thm -> thm
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  val zero_var_indexes_list: thm list -> thm list
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  val zero_var_indexes: thm -> thm
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  val implies_intr_hyps: thm -> thm
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  val rotate_prems: int -> thm -> thm
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  val rearrange_prems: int list -> thm -> thm
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  val RSN: thm * (int * thm) -> thm
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  val RS: thm * thm -> thm
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  val RLN: thm list * (int * thm list) -> thm list
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  val RL: thm list * thm list -> thm list
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  val MRS: thm list * thm -> thm
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  val OF: thm * thm list -> thm
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  val compose: thm * int * thm -> thm list
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  val COMP: thm * thm -> thm
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  val INCR_COMP: thm * thm -> thm
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  val COMP_INCR: thm * thm -> thm
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  val cterm_instantiate: (cterm * cterm) list -> thm -> thm
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  val size_of_thm: thm -> int
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  val reflexive_thm: thm
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  val symmetric_thm: thm
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  val transitive_thm: thm
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  val extensional: thm -> thm
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  val asm_rl: thm
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  val cut_rl: thm
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  val revcut_rl: thm
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  val thin_rl: thm
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  val instantiate': ctyp option list -> cterm option list -> thm -> thm
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end;
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signature DRULE =
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sig
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  include BASIC_DRULE
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  val generalize: string list * string list -> thm -> thm
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  val list_comb: cterm * cterm list -> cterm
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  val strip_comb: cterm -> cterm * cterm list
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  val strip_type: ctyp -> ctyp list * ctyp
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  val beta_conv: cterm -> cterm -> cterm
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  val types_sorts: thm -> (indexname-> typ option) * (indexname-> sort option)
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  val flexflex_unique: thm -> thm
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  val export_without_context: thm -> thm
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  val export_without_context_open: thm -> thm
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  val store_thm: binding -> thm -> thm
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  val store_standard_thm: binding -> thm -> thm
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  val store_thm_open: binding -> thm -> thm
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  val store_standard_thm_open: binding -> thm -> thm
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  val multi_resolve: thm list -> thm -> thm Seq.seq
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  val multi_resolves: thm list -> thm list -> thm Seq.seq
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  val compose_single: thm * int * thm -> thm
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  val equals_cong: thm
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  val imp_cong: thm
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  val swap_prems_eq: thm
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  val imp_cong_rule: thm -> thm -> thm
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  val arg_cong_rule: cterm -> thm -> thm
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  val binop_cong_rule: cterm -> thm -> thm -> thm
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  val fun_cong_rule: thm -> cterm -> thm
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  val beta_eta_conversion: cterm -> thm
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  val eta_long_conversion: cterm -> thm
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  val eta_contraction_rule: thm -> thm
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  val norm_hhf_eq: thm
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  val norm_hhf_eqs: thm list
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  val is_norm_hhf: term -> bool
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  val norm_hhf: theory -> term -> term
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  val norm_hhf_cterm: cterm -> cterm
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  val protect: cterm -> cterm
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  val protectI: thm
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  val protectD: thm
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  val protect_cong: thm
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  val implies_intr_protected: cterm list -> thm -> thm
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  val termI: thm
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  val mk_term: cterm -> thm
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  val dest_term: thm -> cterm
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  val cterm_rule: (thm -> thm) -> cterm -> cterm
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  val dummy_thm: thm
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  val sort_constraintI: thm
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  val sort_constraint_eq: thm
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  val with_subgoal: int -> (thm -> thm) -> thm -> thm
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  val comp_no_flatten: thm * int -> int -> thm -> thm
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  val rename_bvars: (string * string) list -> thm -> thm
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  val rename_bvars': string option list -> thm -> thm
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  val incr_indexes: thm -> thm -> thm
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  val incr_indexes2: thm -> thm -> thm -> thm
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  val triv_forall_equality: thm
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  val distinct_prems_rl: thm
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  val equal_intr_rule: thm
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  val equal_elim_rule1: thm
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  val equal_elim_rule2: thm
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  val remdups_rl: thm
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  val abs_def: thm -> thm
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end;
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structure Drule: DRULE =
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struct
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(** some cterm->cterm operations: faster than calling cterm_of! **)
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(* A1==>...An==>B  goes to  [A1,...,An], where B is not an implication *)
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fun strip_imp_prems ct =
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  let val (cA, cB) = Thm.dest_implies ct
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  in cA :: strip_imp_prems cB end
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  handle TERM _ => [];
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(* A1==>...An==>B  goes to B, where B is not an implication *)
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fun strip_imp_concl ct =
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  (case Thm.term_of ct of
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    Const ("==>", _) $ _ $ _ => strip_imp_concl (Thm.dest_arg ct)
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  | _ => ct);
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(*The premises of a theorem, as a cterm list*)
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val cprems_of = strip_imp_prems o cprop_of;
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fun cterm_fun f ct = Thm.cterm_of (Thm.theory_of_cterm ct) (f (Thm.term_of ct));
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fun ctyp_fun f cT = Thm.ctyp_of (Thm.theory_of_ctyp cT) (f (Thm.typ_of cT));
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fun certify t = Thm.cterm_of (Context.the_theory (Context.the_thread_data ())) t;
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val implies = certify Logic.implies;
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fun mk_implies (A, B) = Thm.apply (Thm.apply implies A) B;
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(*cterm version of list_implies: [A1,...,An], B  goes to [|A1;==>;An|]==>B *)
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fun list_implies([], B) = B
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  | list_implies(A::AS, B) = mk_implies (A, list_implies(AS,B));
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(*cterm version of list_comb: maps  (f, [t1,...,tn])  to  f(t1,...,tn) *)
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fun list_comb (f, []) = f
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  | list_comb (f, t::ts) = list_comb (Thm.apply f t, ts);
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(*cterm version of strip_comb: maps  f(t1,...,tn)  to  (f, [t1,...,tn]) *)
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fun strip_comb ct =
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  let
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    fun stripc (p as (ct, cts)) =
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      let val (ct1, ct2) = Thm.dest_comb ct
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      in stripc (ct1, ct2 :: cts) end handle CTERM _ => p
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  in stripc (ct, []) end;
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(* cterm version of strip_type: maps  [T1,...,Tn]--->T  to   ([T1,T2,...,Tn], T) *)
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fun strip_type cT = (case Thm.typ_of cT of
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    Type ("fun", _) =>
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      let
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        val [cT1, cT2] = Thm.dest_ctyp cT;
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        val (cTs, cT') = strip_type cT2
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      in (cT1 :: cTs, cT') end
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  | _ => ([], cT));
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(*Beta-conversion for cterms, where x is an abstraction. Simply returns the rhs
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  of the meta-equality returned by the beta_conversion rule.*)
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fun beta_conv x y =
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  Thm.dest_arg (cprop_of (Thm.beta_conversion false (Thm.apply x y)));
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(*** Find the type (sort) associated with a (T)Var or (T)Free in a term
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     Used for establishing default types (of variables) and sorts (of
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     type variables) when reading another term.
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     Index -1 indicates that a (T)Free rather than a (T)Var is wanted.
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***)
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fun types_sorts thm =
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  let
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    val vars = Thm.fold_terms Term.add_vars thm [];
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    val frees = Thm.fold_terms Term.add_frees thm [];
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    val tvars = Thm.fold_terms Term.add_tvars thm [];
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    val tfrees = Thm.fold_terms Term.add_tfrees thm [];
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    fun types (a, i) =
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      if i < 0 then AList.lookup (op =) frees a else AList.lookup (op =) vars (a, i);
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    fun sorts (a, i) =
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      if i < 0 then AList.lookup (op =) tfrees a else AList.lookup (op =) tvars (a, i);
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  in (types, sorts) end;
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(** Standardization of rules **)
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(*Generalization over a list of variables*)
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val forall_intr_list = fold_rev Thm.forall_intr;
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(*Generalization over Vars -- canonical order*)
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fun forall_intr_vars th =
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  fold Thm.forall_intr
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    (map (Thm.cterm_of (Thm.theory_of_thm th) o Var) (Thm.fold_terms Term.add_vars th [])) th;
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fun outer_params t =
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  let val vs = Term.strip_all_vars t
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  in Name.variant_list [] (map (Name.clean o #1) vs) ~~ map #2 vs end;
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(*generalize outermost parameters*)
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fun gen_all th =
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  let
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    val thy = Thm.theory_of_thm th;
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    val {prop, maxidx, ...} = Thm.rep_thm th;
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    val cert = Thm.cterm_of thy;
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    fun elim (x, T) = Thm.forall_elim (cert (Var ((x, maxidx + 1), T)));
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  in fold elim (outer_params prop) th end;
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(*lift vars wrt. outermost goal parameters
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  -- reverses the effect of gen_all modulo higher-order unification*)
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fun lift_all goal th =
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  let
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    val thy = Theory.merge (Thm.theory_of_cterm goal, Thm.theory_of_thm th);
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    val cert = Thm.cterm_of thy;
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    val maxidx = Thm.maxidx_of th;
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    val ps = outer_params (Thm.term_of goal)
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      |> map (fn (x, T) => Var ((x, maxidx + 1), Logic.incr_tvar (maxidx + 1) T));
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    val Ts = map Term.fastype_of ps;
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    val inst = Thm.fold_terms Term.add_vars th [] |> map (fn (xi, T) =>
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      (cert (Var (xi, T)), cert (Term.list_comb (Var (xi, Ts ---> T), ps))));
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  in
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    th |> Thm.instantiate ([], inst)
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    |> fold_rev (Thm.forall_intr o cert) ps
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  end;
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(*direct generalization*)
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fun generalize names th = Thm.generalize names (Thm.maxidx_of th + 1) th;
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(*specialization over a list of cterms*)
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val forall_elim_list = fold Thm.forall_elim;
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(*maps A1,...,An |- B  to  [| A1;...;An |] ==> B*)
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val implies_intr_list = fold_rev Thm.implies_intr;
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(*maps [| A1;...;An |] ==> B and [A1,...,An]  to  B*)
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fun implies_elim_list impth ths = fold Thm.elim_implies ths impth;
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(*Reset Var indexes to zero, renaming to preserve distinctness*)
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fun zero_var_indexes_list [] = []
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  | zero_var_indexes_list ths =
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      let
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        val thy = Theory.merge_list (map Thm.theory_of_thm ths);
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        val certT = Thm.ctyp_of thy and cert = Thm.cterm_of thy;
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        val (instT, inst) = Term_Subst.zero_var_indexes_inst (map Thm.full_prop_of ths);
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        val cinstT = map (fn (v, T) => (certT (TVar v), certT T)) instT;
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        val cinst = map (fn (v, t) => (cert (Var v), cert t)) inst;
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      in map (Thm.adjust_maxidx_thm ~1 o Thm.instantiate (cinstT, cinst)) ths end;
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val zero_var_indexes = singleton zero_var_indexes_list;
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(** Standard form of object-rule: no hypotheses, flexflex constraints,
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    Frees, or outer quantifiers; all generality expressed by Vars of index 0.**)
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(*Discharge all hypotheses.*)
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fun implies_intr_hyps th =
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  fold Thm.implies_intr (#hyps (Thm.crep_thm th)) th;
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(*Squash a theorem's flexflex constraints provided it can be done uniquely.
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  This step can lose information.*)
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fun flexflex_unique th =
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  if null (Thm.tpairs_of th) then th else
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    case distinct Thm.eq_thm (Seq.list_of (Thm.flexflex_rule th)) of
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      [th] => th
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    | []   => raise THM("flexflex_unique: impossible constraints", 0, [th])
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    |  _   => raise THM("flexflex_unique: multiple unifiers", 0, [th]);
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(* old-style export without context *)
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val export_without_context_open =
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  implies_intr_hyps
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  #> Thm.forall_intr_frees
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  #> `Thm.maxidx_of
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  #-> (fn maxidx =>
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    Thm.forall_elim_vars (maxidx + 1)
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    #> Thm.strip_shyps
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    #> zero_var_indexes
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    #> Thm.varifyT_global);
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val export_without_context =
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  flexflex_unique
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  #> export_without_context_open
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  #> Thm.close_derivation;
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(*Rotates a rule's premises to the left by k*)
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fun rotate_prems 0 = I
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  | rotate_prems k = Thm.permute_prems 0 k;
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fun with_subgoal i f = rotate_prems (i - 1) #> f #> rotate_prems (1 - i);
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(*Permute prems, where the i-th position in the argument list (counting from 0)
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  gives the position within the original thm to be transferred to position i.
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  Any remaining trailing positions are left unchanged.*)
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val rearrange_prems =
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  let
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    fun rearr new [] thm = thm
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      | rearr new (p :: ps) thm =
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          rearr (new + 1)
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            (map (fn q => if new <= q andalso q < p then q + 1 else q) ps)
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            (Thm.permute_prems (new + 1) (new - p) (Thm.permute_prems new (p - new) thm))
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  in rearr 0 end;
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   315
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(*Resolution: multiple arguments, multiple results*)
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local
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  fun res th i rule =
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    Thm.biresolution false [(false, th)] i rule handle THM _ => Seq.empty;
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  fun multi_res _ [] rule = Seq.single rule
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    | multi_res i (th :: ths) rule = Seq.maps (res th i) (multi_res (i + 1) ths rule);
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   324
in
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  val multi_resolve = multi_res 1;
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   326
  fun multi_resolves facts rules = Seq.maps (multi_resolve facts) (Seq.of_list rules);
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end;
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   328
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   329
(*Resolution: exactly one resolvent must be produced*)
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   330
fun tha RSN (i, thb) =
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   331
  (case Seq.chop 2 (Thm.biresolution false [(false, tha)] i thb) of
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   332
    ([th], _) => th
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   333
  | ([], _) => raise THM ("RSN: no unifiers", i, [tha, thb])
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   334
  | _ => raise THM ("RSN: multiple unifiers", i, [tha, thb]));
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   335
0daa97ed1585 rule composition via attribute "OF" (or ML functions OF/MRS) is more tolerant against multiple unifiers;
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   336
(*Resolution: P==>Q, Q==>R gives P==>R*)
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   337
fun tha RS thb = tha RSN (1,thb);
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   338
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(*For joining lists of rules*)
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   340
fun thas RLN (i, thbs) =
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   341
  let val resolve = Thm.biresolution false (map (pair false) thas) i
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   342
      fun resb thb = Seq.list_of (resolve thb) handle THM _ => []
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   343
  in maps resb thbs end;
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   344
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   345
fun thas RL thbs = thas RLN (1, thbs);
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   346
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   347
(*Isar-style multi-resolution*)
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   348
fun bottom_rl OF rls =
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   349
  (case Seq.chop 2 (multi_resolve rls bottom_rl) of
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   350
    ([th], _) => th
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   351
  | ([], _) => raise THM ("OF: no unifiers", 0, bottom_rl :: rls)
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   352
  | _ => raise THM ("OF: multiple unifiers", 0, bottom_rl :: rls));
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   353
11
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
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   354
(*Resolve a list of rules against bottom_rl from right to left;
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parents: 0
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   355
  makes proof trees*)
47427
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   356
fun rls MRS bottom_rl = bottom_rl OF rls;
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06a55195741b infix 'OF' is a version of 'MRS' with more appropriate argument order;
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   357
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
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   358
(*compose Q and [...,Qi,Q(i+1),...]==>R to [...,Q(i+1),...]==>R
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   359
  with no lifting or renaming!  Q may contain ==> or meta-quants
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   360
  ALWAYS deletes premise i *)
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parents: 229
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   361
fun compose(tha,i,thb) =
52223
5bb6ae8acb87 tuned signature -- more explicit flags for low-level Thm.bicompose;
wenzelm
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   362
  distinct Thm.eq_thm
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wenzelm
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diff changeset
   363
    (Seq.list_of
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wenzelm
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diff changeset
   364
      (Thm.bicompose {flatten = true, match = false, incremented = false} (false, tha, 0) i thb));
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   365
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   366
fun compose_single (tha,i,thb) =
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   367
  (case compose (tha,i,thb) of
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309276732ee1 added compose_single;
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   368
    [th] => th
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   369
  | _ => raise THM ("compose: unique result expected", i, [tha,thb]));
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309276732ee1 added compose_single;
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   370
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   371
(*compose Q and [Q1,Q2,...,Qk]==>R to [Q2,...,Qk]==>R getting unique result*)
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   372
fun tha COMP thb =
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   373
  (case compose(tha, 1, thb) of
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   374
    [th] => th
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   375
  | _ => raise THM ("COMP", 1, [tha, thb]));
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   376
13105
3d1e7a199bdc use eq_thm_prop instead of slightly inadequate eq_thm;
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   377
4016
90aebb69c04e eq_thm moved to thm.ML;
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   378
(** theorem equality **)
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   379
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   380
(*Useful "distance" function for BEST_FIRST*)
16720
0c6c67e74391 Thm.full_prop_of;
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   381
val size_of_thm = size_of_term o Thm.full_prop_of;
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   382
1194
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
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   383
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
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diff changeset
   384
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   385
(*** Meta-Rewriting Rules ***)
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   386
33384
1b5ba4e6a953 modernized structure Simple_Syntax;
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   387
val read_prop = certify o Simple_Syntax.read_prop;
26487
49850ac120e3 certify wrt. dynamic context;
wenzelm
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   388
49850ac120e3 certify wrt. dynamic context;
wenzelm
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diff changeset
   389
fun store_thm name th =
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 38709
diff changeset
   390
  Context.>>> (Context.map_theory_result (Global_Theory.store_thm (name, th)));
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b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
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diff changeset
   391
26487
49850ac120e3 certify wrt. dynamic context;
wenzelm
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diff changeset
   392
fun store_thm_open name th =
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 38709
diff changeset
   393
  Context.>>> (Context.map_theory_result (Global_Theory.store_thm_open (name, th)));
26487
49850ac120e3 certify wrt. dynamic context;
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diff changeset
   394
35021
c839a4c670c6 renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
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diff changeset
   395
fun store_standard_thm name th = store_thm name (export_without_context th);
c839a4c670c6 renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
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diff changeset
   396
fun store_standard_thm_open name thm = store_thm_open name (export_without_context_open thm);
4016
90aebb69c04e eq_thm moved to thm.ML;
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diff changeset
   397
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   398
val reflexive_thm =
26487
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   399
  let val cx = certify (Var(("x",0),TVar(("'a",0),[])))
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   400
  in store_standard_thm_open (Binding.name "reflexive") (Thm.reflexive cx) end;
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clasohm
parents:
diff changeset
   401
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   402
val symmetric_thm =
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   403
  let
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   404
    val xy = read_prop "x::'a == y::'a";
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   405
    val thm = Thm.implies_intr xy (Thm.symmetric (Thm.assume xy));
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   406
  in store_standard_thm_open (Binding.name "symmetric") thm end;
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a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   407
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   408
val transitive_thm =
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   409
  let
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   410
    val xy = read_prop "x::'a == y::'a";
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   411
    val yz = read_prop "y::'a == z::'a";
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   412
    val xythm = Thm.assume xy;
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   413
    val yzthm = Thm.assume yz;
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   414
    val thm = Thm.implies_intr yz (Thm.transitive xythm yzthm);
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   415
  in store_standard_thm_open (Binding.name "transitive") thm end;
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clasohm
parents:
diff changeset
   416
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   417
fun extensional eq =
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   418
  let val eq' =
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   419
    Thm.abstract_rule "x" (Thm.dest_arg (fst (Thm.dest_equals (cprop_of eq)))) eq
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   420
  in Thm.equal_elim (Thm.eta_conversion (cprop_of eq')) eq' end;
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   421
18820
24dcd5b0e26b added equals_cong;
wenzelm
parents: 18799
diff changeset
   422
val equals_cong =
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   423
  store_standard_thm_open (Binding.name "equals_cong")
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   424
    (Thm.reflexive (read_prop "x::'a == y::'a"));
18820
24dcd5b0e26b added equals_cong;
wenzelm
parents: 18799
diff changeset
   425
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   426
val imp_cong =
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   427
  let
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   428
    val ABC = read_prop "A ==> B::prop == C::prop"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   429
    val AB = read_prop "A ==> B"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   430
    val AC = read_prop "A ==> C"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   431
    val A = read_prop "A"
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   432
  in
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   433
    store_standard_thm_open (Binding.name "imp_cong") (Thm.implies_intr ABC (Thm.equal_intr
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   434
      (Thm.implies_intr AB (Thm.implies_intr A
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   435
        (Thm.equal_elim (Thm.implies_elim (Thm.assume ABC) (Thm.assume A))
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   436
          (Thm.implies_elim (Thm.assume AB) (Thm.assume A)))))
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   437
      (Thm.implies_intr AC (Thm.implies_intr A
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   438
        (Thm.equal_elim (Thm.symmetric (Thm.implies_elim (Thm.assume ABC) (Thm.assume A)))
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   439
          (Thm.implies_elim (Thm.assume AC) (Thm.assume A)))))))
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   440
  end;
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   441
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   442
val swap_prems_eq =
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   443
  let
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   444
    val ABC = read_prop "A ==> B ==> C"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   445
    val BAC = read_prop "B ==> A ==> C"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   446
    val A = read_prop "A"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   447
    val B = read_prop "B"
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   448
  in
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   449
    store_standard_thm_open (Binding.name "swap_prems_eq")
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   450
      (Thm.equal_intr
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   451
        (Thm.implies_intr ABC (Thm.implies_intr B (Thm.implies_intr A
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   452
          (Thm.implies_elim (Thm.implies_elim (Thm.assume ABC) (Thm.assume A)) (Thm.assume B)))))
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   453
        (Thm.implies_intr BAC (Thm.implies_intr A (Thm.implies_intr B
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   454
          (Thm.implies_elim (Thm.implies_elim (Thm.assume BAC) (Thm.assume B)) (Thm.assume A))))))
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   455
  end;
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   456
22938
454f1678bf5f added fun/arg_cong_rule;
wenzelm
parents: 22906
diff changeset
   457
val imp_cong_rule = Thm.combination o Thm.combination (Thm.reflexive implies);
454f1678bf5f added fun/arg_cong_rule;
wenzelm
parents: 22906
diff changeset
   458
23537
ecf487dce798 tuned rotate_prems;
wenzelm
parents: 23439
diff changeset
   459
fun arg_cong_rule ct th = Thm.combination (Thm.reflexive ct) th;    (*AP_TERM in LCF/HOL*)
ecf487dce798 tuned rotate_prems;
wenzelm
parents: 23439
diff changeset
   460
fun fun_cong_rule th ct = Thm.combination th (Thm.reflexive ct);    (*AP_THM in LCF/HOL*)
23568
afecdba16452 added binop_cong_rule;
wenzelm
parents: 23537
diff changeset
   461
fun binop_cong_rule ct th1 th2 = Thm.combination (arg_cong_rule ct th1) th2;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   462
15001
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   463
local
22906
195b7515911a moved some operations to more_thm.ML and conv.ML;
wenzelm
parents: 22695
diff changeset
   464
  val dest_eq = Thm.dest_equals o cprop_of
15001
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   465
  val rhs_of = snd o dest_eq
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   466
in
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   467
fun beta_eta_conversion t =
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   468
  let val thm = Thm.beta_conversion true t
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   469
  in Thm.transitive thm (Thm.eta_conversion (rhs_of thm)) end
15001
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   470
end;
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   471
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   472
fun eta_long_conversion ct =
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   473
  Thm.transitive
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   474
    (beta_eta_conversion ct)
52131
366fa32ee2a3 tuned signature;
wenzelm
parents: 48127
diff changeset
   475
    (Thm.symmetric (beta_eta_conversion (cterm_fun (Envir.eta_long []) ct)));
15925
f13f4694c36d Added eta_long_conversion.
berghofe
parents: 15875
diff changeset
   476
20861
fd0e33caeb3b a few new functions on thms and cterms
paulson
parents: 20669
diff changeset
   477
(*Contract all eta-redexes in the theorem, lest they give rise to needless abstractions*)
fd0e33caeb3b a few new functions on thms and cterms
paulson
parents: 20669
diff changeset
   478
fun eta_contraction_rule th =
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   479
  Thm.equal_elim (Thm.eta_conversion (cprop_of th)) th;
20861
fd0e33caeb3b a few new functions on thms and cterms
paulson
parents: 20669
diff changeset
   480
24947
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   481
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   482
(* abs_def *)
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   483
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   484
(*
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   485
   f ?x1 ... ?xn == u
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   486
  --------------------
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   487
   f == %x1 ... xn. u
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   488
*)
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   489
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   490
local
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   491
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   492
fun contract_lhs th =
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   493
  Thm.transitive (Thm.symmetric (beta_eta_conversion
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   494
    (fst (Thm.dest_equals (cprop_of th))))) th;
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   495
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   496
fun var_args ct =
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   497
  (case try Thm.dest_comb ct of
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   498
    SOME (f, arg) =>
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   499
      (case Thm.term_of arg of
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   500
        Var ((x, _), _) => update (eq_snd (op aconvc)) (x, arg) (var_args f)
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   501
      | _ => [])
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   502
  | NONE => []);
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   503
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   504
in
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   505
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   506
fun abs_def th =
18337
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   507
  let
24947
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   508
    val th' = contract_lhs th;
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   509
    val args = var_args (Thm.lhs_of th');
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   510
  in contract_lhs (fold (uncurry Thm.abstract_rule) args th') end;
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   511
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   512
end;
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   513
18337
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   514
18468
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   515
15669
2b1f1902505d added add_used; include tpairs;
wenzelm
parents: 15574
diff changeset
   516
(*** Some useful meta-theorems ***)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   517
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   518
(*The rule V/V, obtains assumption solving for eresolve_tac*)
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   519
val asm_rl = store_standard_thm_open (Binding.name "asm_rl") (Thm.trivial (read_prop "?psi"));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   520
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   521
(*Meta-level cut rule: [| V==>W; V |] ==> W *)
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   522
val cut_rl =
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   523
  store_standard_thm_open (Binding.name "cut_rl")
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   524
    (Thm.trivial (read_prop "?psi ==> ?theta"));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   525
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   526
(*Generalized elim rule for one conclusion; cut_rl with reversed premises:
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   527
     [| PROP V;  PROP V ==> PROP W |] ==> PROP W *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   528
val revcut_rl =
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   529
  let
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   530
    val V = read_prop "V";
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   531
    val VW = read_prop "V ==> W";
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   532
  in
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   533
    store_standard_thm_open (Binding.name "revcut_rl")
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   534
      (Thm.implies_intr V (Thm.implies_intr VW (Thm.implies_elim (Thm.assume VW) (Thm.assume V))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   535
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   536
668
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   537
(*for deleting an unwanted assumption*)
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   538
val thin_rl =
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   539
  let
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   540
    val V = read_prop "V";
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   541
    val W = read_prop "W";
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   542
    val thm = Thm.implies_intr V (Thm.implies_intr W (Thm.assume W));
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   543
  in store_standard_thm_open (Binding.name "thin_rl") thm end;
668
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   544
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   545
(* (!!x. PROP ?V) == PROP ?V       Allows removal of redundant parameters*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   546
val triv_forall_equality =
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   547
  let
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   548
    val V = read_prop "V";
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   549
    val QV = read_prop "!!x::'a. V";
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   550
    val x = certify (Free ("x", Term.aT []));
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   551
  in
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   552
    store_standard_thm_open (Binding.name "triv_forall_equality")
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   553
      (Thm.equal_intr (Thm.implies_intr QV (Thm.forall_elim x (Thm.assume QV)))
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   554
        (Thm.implies_intr V (Thm.forall_intr x (Thm.assume V))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   555
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   556
19051
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   557
(* (PROP ?Phi ==> PROP ?Phi ==> PROP ?Psi) ==>
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   558
   (PROP ?Phi ==> PROP ?Psi)
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   559
*)
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   560
val distinct_prems_rl =
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   561
  let
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   562
    val AAB = read_prop "Phi ==> Phi ==> Psi";
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   563
    val A = read_prop "Phi";
19051
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   564
  in
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   565
    store_standard_thm_open (Binding.name "distinct_prems_rl")
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   566
      (implies_intr_list [AAB, A] (implies_elim_list (Thm.assume AAB) [Thm.assume A, Thm.assume A]))
19051
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   567
  end;
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   568
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   569
(* [| PROP ?phi ==> PROP ?psi; PROP ?psi ==> PROP ?phi |]
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   570
   ==> PROP ?phi == PROP ?psi
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   571
   Introduction rule for == as a meta-theorem.
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   572
*)
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   573
val equal_intr_rule =
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   574
  let
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   575
    val PQ = read_prop "phi ==> psi";
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   576
    val QP = read_prop "psi ==> phi";
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   577
  in
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   578
    store_standard_thm_open (Binding.name "equal_intr_rule")
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   579
      (Thm.implies_intr PQ (Thm.implies_intr QP (Thm.equal_intr (Thm.assume PQ) (Thm.assume QP))))
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   580
  end;
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   581
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   582
(* PROP ?phi == PROP ?psi ==> PROP ?phi ==> PROP ?psi *)
13368
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   583
val equal_elim_rule1 =
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   584
  let
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   585
    val eq = read_prop "phi::prop == psi::prop";
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   586
    val P = read_prop "phi";
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   587
  in
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   588
    store_standard_thm_open (Binding.name "equal_elim_rule1")
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   589
      (Thm.equal_elim (Thm.assume eq) (Thm.assume P) |> implies_intr_list [eq, P])
13368
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   590
  end;
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   591
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   592
(* PROP ?psi == PROP ?phi ==> PROP ?phi ==> PROP ?psi *)
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   593
val equal_elim_rule2 =
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   594
  store_standard_thm_open (Binding.name "equal_elim_rule2")
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   595
    (symmetric_thm RS equal_elim_rule1);
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   596
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   597
(* PROP ?phi ==> PROP ?phi ==> PROP ?psi ==> PROP ?psi *)
12297
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   598
val remdups_rl =
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   599
  let
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   600
    val P = read_prop "phi";
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   601
    val Q = read_prop "psi";
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   602
    val thm = implies_intr_list [P, P, Q] (Thm.assume Q);
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   603
  in store_standard_thm_open (Binding.name "remdups_rl") thm end;
12297
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   604
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   605
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   606
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   607
(** embedded terms and types **)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   608
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   609
local
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   610
  val A = certify (Free ("A", propT));
35845
e5980f0ad025 renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents: 35237
diff changeset
   611
  val axiom = Thm.unvarify_global o Thm.axiom (Context.the_theory (Context.the_thread_data ()));
28674
08a77c495dc1 renamed Thm.get_axiom_i to Thm.axiom;
wenzelm
parents: 28618
diff changeset
   612
  val prop_def = axiom "Pure.prop_def";
08a77c495dc1 renamed Thm.get_axiom_i to Thm.axiom;
wenzelm
parents: 28618
diff changeset
   613
  val term_def = axiom "Pure.term_def";
08a77c495dc1 renamed Thm.get_axiom_i to Thm.axiom;
wenzelm
parents: 28618
diff changeset
   614
  val sort_constraint_def = axiom "Pure.sort_constraint_def";
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   615
  val C = Thm.lhs_of sort_constraint_def;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   616
  val T = Thm.dest_arg C;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   617
  val CA = mk_implies (C, A);
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   618
in
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   619
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   620
(* protect *)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   621
46497
89ccf66aa73d renamed Thm.capply to Thm.apply, and Thm.cabs to Thm.lambda in conformance with similar operations in structure Term and Logic;
wenzelm
parents: 46496
diff changeset
   622
val protect = Thm.apply (certify Logic.protectC);
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   623
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   624
val protectI =
35021
c839a4c670c6 renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents: 33832
diff changeset
   625
  store_standard_thm (Binding.conceal (Binding.name "protectI"))
c839a4c670c6 renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents: 33832
diff changeset
   626
    (Thm.equal_elim (Thm.symmetric prop_def) (Thm.assume A));
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   627
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   628
val protectD =
35021
c839a4c670c6 renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents: 33832
diff changeset
   629
  store_standard_thm (Binding.conceal (Binding.name "protectD"))
c839a4c670c6 renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents: 33832
diff changeset
   630
    (Thm.equal_elim prop_def (Thm.assume (protect A)));
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   631
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   632
val protect_cong =
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   633
  store_standard_thm_open (Binding.name "protect_cong") (Thm.reflexive (protect A));
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   634
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   635
fun implies_intr_protected asms th =
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   636
  let val asms' = map protect asms in
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   637
    implies_elim_list
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   638
      (implies_intr_list asms th)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   639
      (map (fn asm' => Thm.assume asm' RS protectD) asms')
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   640
    |> implies_intr_list asms'
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   641
  end;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   642
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   643
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   644
(* term *)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   645
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   646
val termI =
35021
c839a4c670c6 renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents: 33832
diff changeset
   647
  store_standard_thm (Binding.conceal (Binding.name "termI"))
c839a4c670c6 renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents: 33832
diff changeset
   648
    (Thm.equal_elim (Thm.symmetric term_def) (Thm.forall_intr A (Thm.trivial A)));
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   649
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   650
fun mk_term ct =
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   651
  let
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   652
    val thy = Thm.theory_of_cterm ct;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   653
    val cert = Thm.cterm_of thy;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   654
    val certT = Thm.ctyp_of thy;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   655
    val T = Thm.typ_of (Thm.ctyp_of_term ct);
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   656
    val a = certT (TVar (("'a", 0), []));
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   657
    val x = cert (Var (("x", 0), T));
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   658
  in Thm.instantiate ([(a, certT T)], [(x, ct)]) termI end;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   659
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   660
fun dest_term th =
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   661
  let val cprop = strip_imp_concl (Thm.cprop_of th) in
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   662
    if can Logic.dest_term (Thm.term_of cprop) then
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   663
      Thm.dest_arg cprop
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   664
    else raise THM ("dest_term", 0, [th])
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   665
  end;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   666
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   667
fun cterm_rule f = dest_term o f o mk_term;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   668
45156
a9b6c2ea7bec added Term.dummy_pattern conveniences;
wenzelm
parents: 44117
diff changeset
   669
val dummy_thm = mk_term (certify Term.dummy_prop);
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   670
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   671
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   672
(* sort_constraint *)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   673
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   674
val sort_constraintI =
35021
c839a4c670c6 renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents: 33832
diff changeset
   675
  store_standard_thm (Binding.conceal (Binding.name "sort_constraintI"))
c839a4c670c6 renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents: 33832
diff changeset
   676
    (Thm.equal_elim (Thm.symmetric sort_constraint_def) (mk_term T));
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   677
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   678
val sort_constraint_eq =
35021
c839a4c670c6 renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents: 33832
diff changeset
   679
  store_standard_thm (Binding.conceal (Binding.name "sort_constraint_eq"))
c839a4c670c6 renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents: 33832
diff changeset
   680
    (Thm.equal_intr
35845
e5980f0ad025 renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents: 35237
diff changeset
   681
      (Thm.implies_intr CA (Thm.implies_elim (Thm.assume CA)
e5980f0ad025 renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents: 35237
diff changeset
   682
        (Thm.unvarify_global sort_constraintI)))
35021
c839a4c670c6 renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents: 33832
diff changeset
   683
      (implies_intr_list [A, C] (Thm.assume A)));
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   684
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   685
end;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   686
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   687
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   688
(* HHF normalization *)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   689
46214
wenzelm
parents: 46186
diff changeset
   690
(* (PROP ?phi ==> (!!x. PROP ?psi x)) == (!!x. PROP ?phi ==> PROP ?psi x) *)
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   691
val norm_hhf_eq =
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   692
  let
14854
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14824
diff changeset
   693
    val aT = TFree ("'a", []);
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   694
    val x = Free ("x", aT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   695
    val phi = Free ("phi", propT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   696
    val psi = Free ("psi", aT --> propT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   697
26487
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   698
    val cx = certify x;
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   699
    val cphi = certify phi;
46214
wenzelm
parents: 46186
diff changeset
   700
    val lhs = certify (Logic.mk_implies (phi, Logic.all x (psi $ x)));
wenzelm
parents: 46186
diff changeset
   701
    val rhs = certify (Logic.all x (Logic.mk_implies (phi, psi $ x)));
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   702
  in
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   703
    Thm.equal_intr
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   704
      (Thm.implies_elim (Thm.assume lhs) (Thm.assume cphi)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   705
        |> Thm.forall_elim cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   706
        |> Thm.implies_intr cphi
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   707
        |> Thm.forall_intr cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   708
        |> Thm.implies_intr lhs)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   709
      (Thm.implies_elim
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   710
          (Thm.assume rhs |> Thm.forall_elim cx) (Thm.assume cphi)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   711
        |> Thm.forall_intr cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   712
        |> Thm.implies_intr cphi
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   713
        |> Thm.implies_intr rhs)
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   714
    |> store_standard_thm_open (Binding.name "norm_hhf_eq")
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   715
  end;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   716
18179
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   717
val norm_hhf_prop = Logic.dest_equals (Thm.prop_of norm_hhf_eq);
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   718
val norm_hhf_eqs = [norm_hhf_eq, sort_constraint_eq];
18179
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   719
30553
0709fda91b06 refined is_norm_hhf: reject beta-redexes (rules based on term nets or could_unify assume normal form), also potentially faster by avoiding expensive Envir.beta_eta_contract;
wenzelm
parents: 30342
diff changeset
   720
fun is_norm_hhf (Const ("Pure.sort_constraint", _)) = false
0709fda91b06 refined is_norm_hhf: reject beta-redexes (rules based on term nets or could_unify assume normal form), also potentially faster by avoiding expensive Envir.beta_eta_contract;
wenzelm
parents: 30342
diff changeset
   721
  | is_norm_hhf (Const ("==>", _) $ _ $ (Const ("all", _) $ _)) = false
0709fda91b06 refined is_norm_hhf: reject beta-redexes (rules based on term nets or could_unify assume normal form), also potentially faster by avoiding expensive Envir.beta_eta_contract;
wenzelm
parents: 30342
diff changeset
   722
  | is_norm_hhf (Abs _ $ _) = false
0709fda91b06 refined is_norm_hhf: reject beta-redexes (rules based on term nets or could_unify assume normal form), also potentially faster by avoiding expensive Envir.beta_eta_contract;
wenzelm
parents: 30342
diff changeset
   723
  | is_norm_hhf (t $ u) = is_norm_hhf t andalso is_norm_hhf u
0709fda91b06 refined is_norm_hhf: reject beta-redexes (rules based on term nets or could_unify assume normal form), also potentially faster by avoiding expensive Envir.beta_eta_contract;
wenzelm
parents: 30342
diff changeset
   724
  | is_norm_hhf (Abs (_, _, t)) = is_norm_hhf t
0709fda91b06 refined is_norm_hhf: reject beta-redexes (rules based on term nets or could_unify assume normal form), also potentially faster by avoiding expensive Envir.beta_eta_contract;
wenzelm
parents: 30342
diff changeset
   725
  | is_norm_hhf _ = true;
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   726
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   727
fun norm_hhf thy t =
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   728
  if is_norm_hhf t then t
18179
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   729
  else Pattern.rewrite_term thy [norm_hhf_prop] [] t;
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   730
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   731
fun norm_hhf_cterm ct =
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   732
  if is_norm_hhf (Thm.term_of ct) then ct
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   733
  else cterm_fun (Pattern.rewrite_term (Thm.theory_of_cterm ct) [norm_hhf_prop] []) ct;
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   734
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   735
21603
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   736
(* var indexes *)
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   737
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   738
fun incr_indexes th = Thm.incr_indexes (Thm.maxidx_of th + 1);
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   739
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   740
fun incr_indexes2 th1 th2 =
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   741
  Thm.incr_indexes (Int.max (Thm.maxidx_of th1, Thm.maxidx_of th2) + 1);
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   742
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   743
fun th1 INCR_COMP th2 = incr_indexes th2 th1 COMP th2;
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   744
fun th1 COMP_INCR th2 = th1 COMP incr_indexes th1 th2;
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   745
29344
fc4a04a2970a added comp_no_flatten;
wenzelm
parents: 29270
diff changeset
   746
fun comp_no_flatten (th, n) i rule =
fc4a04a2970a added comp_no_flatten;
wenzelm
parents: 29270
diff changeset
   747
  (case distinct Thm.eq_thm (Seq.list_of
52223
5bb6ae8acb87 tuned signature -- more explicit flags for low-level Thm.bicompose;
wenzelm
parents: 52131
diff changeset
   748
      (Thm.bicompose {flatten = false, match = false, incremented = true}
5bb6ae8acb87 tuned signature -- more explicit flags for low-level Thm.bicompose;
wenzelm
parents: 52131
diff changeset
   749
        (false, th, n) i (incr_indexes th rule))) of
29344
fc4a04a2970a added comp_no_flatten;
wenzelm
parents: 29270
diff changeset
   750
    [th'] => th'
fc4a04a2970a added comp_no_flatten;
wenzelm
parents: 29270
diff changeset
   751
  | [] => raise THM ("comp_no_flatten", i, [th, rule])
fc4a04a2970a added comp_no_flatten;
wenzelm
parents: 29270
diff changeset
   752
  | _ => raise THM ("comp_no_flatten: unique result expected", i, [th, rule]));
fc4a04a2970a added comp_no_flatten;
wenzelm
parents: 29270
diff changeset
   753
fc4a04a2970a added comp_no_flatten;
wenzelm
parents: 29270
diff changeset
   754
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   755
45348
6976920b709c tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents: 45347
diff changeset
   756
(** variations on Thm.instantiate **)
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   757
43333
2bdec7f430d3 renamed Drule.instantiate to Drule.instantiate_normalize to emphasize its meaning as opposed to plain Thm.instantiate;
wenzelm
parents: 43330
diff changeset
   758
fun instantiate_normalize instpair th =
21603
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   759
  Thm.adjust_maxidx_thm ~1 (Thm.instantiate instpair th COMP_INCR asm_rl);
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   760
45347
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   761
(*Left-to-right replacements: tpairs = [..., (vi, ti), ...].
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   762
  Instantiates distinct Vars by terms, inferring type instantiations.*)
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   763
local
45347
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   764
  fun add_types (ct, cu) (thy, tye, maxidx) =
26627
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   765
    let
45347
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   766
      val {t, T, maxidx = maxt, ...} = Thm.rep_cterm ct;
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   767
      val {t = u, T = U, maxidx = maxu, ...} = Thm.rep_cterm cu;
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   768
      val maxi = Int.max (maxidx, Int.max (maxt, maxu));
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   769
      val thy' = Theory.merge (thy, Theory.merge (Thm.theory_of_cterm ct, Thm.theory_of_cterm cu));
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   770
      val (tye', maxi') = Sign.typ_unify thy' (T, U) (tye, maxi)
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   771
        handle Type.TUNIFY => raise TYPE ("Ill-typed instantiation:\nType\n" ^
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   772
          Syntax.string_of_typ_global thy' (Envir.norm_type tye T) ^
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   773
          "\nof variable " ^
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   774
          Syntax.string_of_term_global thy' (Term.map_types (Envir.norm_type tye) t) ^
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   775
          "\ncannot be unified with type\n" ^
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   776
          Syntax.string_of_typ_global thy' (Envir.norm_type tye U) ^ "\nof term " ^
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   777
          Syntax.string_of_term_global thy' (Term.map_types (Envir.norm_type tye) u),
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   778
          [T, U], [t, u])
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   779
    in (thy', tye', maxi') end;
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   780
in
45347
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   781
22561
705d4fb9e628 optimizing the null instantiation case
paulson
parents: 22360
diff changeset
   782
fun cterm_instantiate [] th = th
45348
6976920b709c tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents: 45347
diff changeset
   783
  | cterm_instantiate ctpairs th =
45347
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   784
      let
45348
6976920b709c tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents: 45347
diff changeset
   785
        val (thy, tye, _) = fold_rev add_types ctpairs (Thm.theory_of_thm th, Vartab.empty, 0);
45347
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   786
        val certT = ctyp_of thy;
45348
6976920b709c tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents: 45347
diff changeset
   787
        val instT =
6976920b709c tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents: 45347
diff changeset
   788
          Vartab.fold (fn (xi, (S, T)) =>
6976920b709c tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents: 45347
diff changeset
   789
            cons (certT (TVar (xi, S)), certT (Envir.norm_type tye T))) tye [];
6976920b709c tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents: 45347
diff changeset
   790
        val inst = map (pairself (Thm.instantiate_cterm (instT, []))) ctpairs;
6976920b709c tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents: 45347
diff changeset
   791
      in instantiate_normalize (instT, inst) th end
6976920b709c tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents: 45347
diff changeset
   792
      handle TERM (msg, _) => raise THM (msg, 0, [th])
45347
66566a5df4be misc tuning and modernization;
wenzelm
parents: 45156
diff changeset
   793
        | TYPE (msg, _, _) => raise THM (msg, 0, [th]);
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   794
end;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   795
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   796
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   797
(* instantiate by left-to-right occurrence of variables *)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   798
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   799
fun instantiate' cTs cts thm =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   800
  let
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   801
    fun err msg =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   802
      raise TYPE ("instantiate': " ^ msg,
19482
9f11af8f7ef9 tuned basic list operators (flat, maps, map_filter);
wenzelm
parents: 19421
diff changeset
   803
        map_filter (Option.map Thm.typ_of) cTs,
9f11af8f7ef9 tuned basic list operators (flat, maps, map_filter);
wenzelm
parents: 19421
diff changeset
   804
        map_filter (Option.map Thm.term_of) cts);
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   805
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   806
    fun inst_of (v, ct) =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   807
      (Thm.cterm_of (Thm.theory_of_cterm ct) (Var v), ct)
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   808
        handle TYPE (msg, _, _) => err msg;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   809
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   810
    fun tyinst_of (v, cT) =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   811
      (Thm.ctyp_of (Thm.theory_of_ctyp cT) (TVar v), cT)
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   812
        handle TYPE (msg, _, _) => err msg;
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   813
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   814
    fun zip_vars xs ys =
40722
441260986b63 make two copies (!) of Library.UnequalLengths coincide with ListPair.UnequalLengths;
wenzelm
parents: 39557
diff changeset
   815
      zip_options xs ys handle ListPair.UnequalLengths =>
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   816
        err "more instantiations than variables in thm";
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   817
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   818
    (*instantiate types first!*)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   819
    val thm' =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   820
      if forall is_none cTs then thm
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   821
      else Thm.instantiate
22695
17073e9b94f2 moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents: 22681
diff changeset
   822
        (map tyinst_of (zip_vars (rev (Thm.fold_terms Term.add_tvars thm [])) cTs), []) thm;
20579
4dc799edef89 Thm.dest_arg;
wenzelm
parents: 20509
diff changeset
   823
    val thm'' =
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   824
      if forall is_none cts then thm'
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   825
      else Thm.instantiate
22695
17073e9b94f2 moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents: 22681
diff changeset
   826
        ([], map inst_of (zip_vars (rev (Thm.fold_terms Term.add_vars thm' [])) cts)) thm';
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   827
    in thm'' end;
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   828
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   829
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   830
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   831
(** renaming of bound variables **)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   832
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   833
(* replace bound variables x_i in thm by y_i *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   834
(* where vs = [(x_1, y_1), ..., (x_n, y_n)]  *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   835
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   836
fun rename_bvars [] thm = thm
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   837
  | rename_bvars vs thm =
26627
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   838
      let
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   839
        val cert = Thm.cterm_of (Thm.theory_of_thm thm);
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   840
        fun ren (Abs (x, T, t)) = Abs (AList.lookup (op =) vs x |> the_default x, T, ren t)
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   841
          | ren (t $ u) = ren t $ ren u
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   842
          | ren t = t;
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   843
      in Thm.equal_elim (Thm.reflexive (cert (ren (Thm.prop_of thm)))) thm end;
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   844
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   845
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   846
(* renaming in left-to-right order *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   847
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   848
fun rename_bvars' xs thm =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   849
  let
26627
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   850
    val cert = Thm.cterm_of (Thm.theory_of_thm thm);
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   851
    val prop = Thm.prop_of thm;
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   852
    fun rename [] t = ([], t)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   853
      | rename (x' :: xs) (Abs (x, T, t)) =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   854
          let val (xs', t') = rename xs t
18929
d81435108688 Envir.(beta_)eta_contract;
wenzelm
parents: 18922
diff changeset
   855
          in (xs', Abs (the_default x x', T, t')) end
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   856
      | rename xs (t $ u) =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   857
          let
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   858
            val (xs', t') = rename xs t;
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   859
            val (xs'', u') = rename xs' u
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   860
          in (xs'', t' $ u') end
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   861
      | rename xs t = (xs, t);
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   862
  in case rename xs prop of
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   863
      ([], prop') => Thm.equal_elim (Thm.reflexive (cert prop')) thm
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   864
    | _ => error "More names than abstractions in theorem"
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   865
  end;
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   866
11975
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   867
end;
5903
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   868
35021
c839a4c670c6 renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents: 33832
diff changeset
   869
structure Basic_Drule: BASIC_DRULE = Drule;
c839a4c670c6 renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents: 33832
diff changeset
   870
open Basic_Drule;