src/Pure/drule.ML
author wenzelm
Wed, 31 Jul 2019 19:50:38 +0200
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clarified export: retain proof boxes as local definitions -- more scalable;
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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 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 lift_all: Proof.context -> 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: ((indexname * sort) * ctyp) list * ((indexname * typ) * cterm) list ->
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    thm -> thm
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  val instantiate'_normalize: ctyp option list -> cterm option list -> thm -> thm
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  val infer_instantiate_types: Proof.context -> ((indexname * typ) * cterm) list -> thm -> thm
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  val infer_instantiate: Proof.context -> (indexname * cterm) list -> thm -> thm
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  val infer_instantiate': Proof.context -> cterm option 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 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 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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end;
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signature DRULE =
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sig
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  include BASIC_DRULE
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  val outer_params: term -> (string * typ) list
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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 beta_conv: cterm -> cterm -> cterm
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  val flexflex_unique: Proof.context option -> 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: Proof.context option -> thm list -> thm -> thm Seq.seq
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  val multi_resolves: Proof.context option -> thm list -> thm list -> thm Seq.seq
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  val compose: 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_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: Proof.context -> 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 cterm_add_frees: cterm -> cterm list -> cterm list
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  val cterm_add_vars: cterm -> cterm list -> cterm list
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  val dummy_thm: thm
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  val free_dummy_thm: thm
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  val is_sort_constraint: term -> bool
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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\<Longrightarrow>...An\<Longrightarrow>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\<Longrightarrow>...An\<Longrightarrow>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 ("Pure.imp", _) $ _ $ _ => 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 Thm.cprop_of;
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fun certify t = Thm.global_cterm_of (Context.the_global_context ()) 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 \<lbrakk>A1;...;An\<rbrakk>\<Longrightarrow>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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(*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 (Thm.cprop_of (Thm.beta_conversion false (Thm.apply x y)));
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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 = fold Thm.forall_intr (Thm.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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(*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 ctxt raw_goal raw_th =
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  let
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    val thy = Proof_Context.theory_of ctxt;
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    val goal = Thm.transfer_cterm thy raw_goal;
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    val th = Thm.transfer thy raw_th;
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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 =
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      Thm.fold_terms Term.add_vars th []
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      |> map (fn (xi, T) => ((xi, T), Thm.cterm_of ctxt (Term.list_comb (Var (xi, Ts ---> T), ps))));
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  in
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    th
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    |> Thm.instantiate ([], inst)
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    |> fold_rev (Thm.forall_intr o Thm.cterm_of ctxt) 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  \<lbrakk>A1;...;An\<rbrakk> \<Longrightarrow> B*)
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val implies_intr_list = fold_rev Thm.implies_intr;
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(*maps \<lbrakk>A1;...;An\<rbrakk> \<Longrightarrow> 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 (instT, inst) =
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          Term_Subst.zero_var_indexes_inst Name.context (map Thm.full_prop_of ths);
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        val tvars = fold Thm.add_tvars ths [];
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        fun the_tvar v = the (find_first (fn cT => v = dest_TVar (Thm.typ_of cT)) tvars);
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        val instT' = map (fn (v, TVar (b, _)) => (v, Thm.rename_tvar b (the_tvar v))) instT;
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        val vars = fold (Thm.add_vars o Thm.instantiate (instT', [])) ths [];
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        fun the_var v = the (find_first (fn ct => v = dest_Var (Thm.term_of ct)) vars);
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        val inst' = map (fn (v, Var (b, _)) => (v, Thm.var (b, Thm.ctyp_of_cterm (the_var v)))) inst;
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      in map (Thm.adjust_maxidx_thm ~1 o Thm.instantiate (instT', inst')) 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 = fold Thm.implies_intr (Thm.chyps_of 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 opt_ctxt th =
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  if null (Thm.tpairs_of th) then th
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  else
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    (case distinct Thm.eq_thm (Seq.list_of (Thm.flexflex_rule opt_ctxt 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 NONE
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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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(*Resolution: multiple arguments, multiple results*)
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local
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  fun res opt_ctxt th i rule =
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    Thm.biresolution opt_ctxt 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 opt_ctxt i (th :: ths) rule =
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        Seq.maps (res opt_ctxt th i) (multi_res opt_ctxt (i + 1) ths rule);
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in
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  fun multi_resolve opt_ctxt = multi_res opt_ctxt 1;
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  fun multi_resolves opt_ctxt facts rules =
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    Seq.maps (multi_resolve opt_ctxt facts) (Seq.of_list rules);
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end;
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(*Resolution: exactly one resolvent must be produced*)
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fun tha RSN (i, thb) =
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  (case Seq.chop 2 (Thm.biresolution NONE false [(false, tha)] i thb) of
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    ([th], _) => th
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  | ([], _) => raise THM ("RSN: no unifiers", i, [tha, thb])
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  | _ => raise THM ("RSN: multiple unifiers", i, [tha, thb]));
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(*Resolution: P \<Longrightarrow> Q, Q \<Longrightarrow> R gives P \<Longrightarrow> R*)
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fun tha RS thb = tha RSN (1,thb);
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(*For joining lists of rules*)
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fun thas RLN (i, thbs) =
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  let
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    val resolve = Thm.biresolution NONE false (map (pair false) thas) i
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    fun resb thb = Seq.list_of (resolve thb) handle THM _ => []
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  in maps resb thbs end;
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fun thas RL thbs = thas RLN (1, thbs);
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(*Isar-style multi-resolution*)
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fun bottom_rl OF rls =
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  (case Seq.chop 2 (multi_resolve NONE rls bottom_rl) of
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    ([th], _) => th
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  | ([], _) => raise THM ("OF: no unifiers", 0, bottom_rl :: rls)
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  | _ => raise THM ("OF: multiple unifiers", 0, bottom_rl :: rls));
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11
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
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(*Resolve a list of rules against bottom_rl from right to left;
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  makes proof trees*)
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fun rls MRS bottom_rl = bottom_rl OF rls;
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(*compose Q and \<lbrakk>...,Qi,Q(i+1),...\<rbrakk> \<Longrightarrow> R to \<lbrakk>...,Q(i+1),...\<rbrakk> \<Longrightarrow> R
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  with no lifting or renaming!  Q may contain \<Longrightarrow> or meta-quantifiers
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  ALWAYS deletes premise i *)
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fun compose (tha, i, thb) =
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  Thm.bicompose NONE {flatten = true, match = false, incremented = false} (false, tha, 0) i thb
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  |> Seq.list_of |> distinct Thm.eq_thm
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  |> (fn [th] => th | _ => raise THM ("compose: unique result expected", i, [tha, thb]));
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309276732ee1 added compose_single;
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(** theorem equality **)
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(*Useful "distance" function for BEST_FIRST*)
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val size_of_thm = size_of_term o Thm.full_prop_of;
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563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
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563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
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(*** Meta-Rewriting Rules ***)
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val read_prop = certify o Simple_Syntax.read_prop;
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fun store_thm name th =
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  Context.>>> (Context.map_theory_result (Global_Theory.store_thm (name, th)));
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fun store_thm_open name th =
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  Context.>>> (Context.map_theory_result (Global_Theory.store_thm_open (name, th)));
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c839a4c670c6 renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
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fun store_standard_thm name th = store_thm name (export_without_context th);
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fun store_standard_thm_open name th = store_thm_open name (export_without_context_open th);
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val reflexive_thm =
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  let val cx = certify (Var(("x",0),TVar(("'a",0),[])))
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  in store_standard_thm_open (Binding.make ("reflexive", \<^here>)) (Thm.reflexive cx) end;
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val symmetric_thm =
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  let
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    val xy = read_prop "x::'a \<equiv> y::'a";
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    val thm = Thm.implies_intr xy (Thm.symmetric (Thm.assume xy));
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  in store_standard_thm_open (Binding.make ("symmetric", \<^here>)) thm end;
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val transitive_thm =
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  let
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    val xy = read_prop "x::'a \<equiv> y::'a";
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    val yz = read_prop "y::'a \<equiv> z::'a";
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    val xythm = Thm.assume xy;
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   371
    val yzthm = Thm.assume yz;
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    val thm = Thm.implies_intr yz (Thm.transitive xythm yzthm);
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  in store_standard_thm_open (Binding.make ("transitive", \<^here>)) thm end;
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   375
fun extensional eq =
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   376
  let val eq' =
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   377
    Thm.abstract_rule "x" (Thm.dest_arg (fst (Thm.dest_equals (Thm.cprop_of eq)))) eq
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   378
  in Thm.equal_elim (Thm.eta_conversion (Thm.cprop_of eq')) eq' end;
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   380
val equals_cong =
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   381
  store_standard_thm_open (Binding.make ("equals_cong", \<^here>))
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    (Thm.reflexive (read_prop "x::'a \<equiv> y::'a"));
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diff changeset
   383
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diff changeset
   384
val imp_cong =
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diff changeset
   385
  let
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   386
    val ABC = read_prop "A \<Longrightarrow> B::prop \<equiv> C::prop"
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diff changeset
   387
    val AB = read_prop "A \<Longrightarrow> B"
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diff changeset
   388
    val AC = read_prop "A \<Longrightarrow> C"
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
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diff changeset
   389
    val A = read_prop "A"
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f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   390
  in
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851ae0e7b09c more symbols;
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diff changeset
   391
    store_standard_thm_open (Binding.make ("imp_cong", \<^here>))
56436
30ccec1e82fb more source positions;
wenzelm
parents: 56245
diff changeset
   392
      (Thm.implies_intr ABC (Thm.equal_intr
30ccec1e82fb more source positions;
wenzelm
parents: 56245
diff changeset
   393
        (Thm.implies_intr AB (Thm.implies_intr A
30ccec1e82fb more source positions;
wenzelm
parents: 56245
diff changeset
   394
          (Thm.equal_elim (Thm.implies_elim (Thm.assume ABC) (Thm.assume A))
30ccec1e82fb more source positions;
wenzelm
parents: 56245
diff changeset
   395
            (Thm.implies_elim (Thm.assume AB) (Thm.assume A)))))
30ccec1e82fb more source positions;
wenzelm
parents: 56245
diff changeset
   396
        (Thm.implies_intr AC (Thm.implies_intr A
30ccec1e82fb more source positions;
wenzelm
parents: 56245
diff changeset
   397
          (Thm.equal_elim (Thm.symmetric (Thm.implies_elim (Thm.assume ABC) (Thm.assume A)))
30ccec1e82fb more source positions;
wenzelm
parents: 56245
diff changeset
   398
            (Thm.implies_elim (Thm.assume AC) (Thm.assume A)))))))
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   399
  end;
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   400
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   401
val swap_prems_eq =
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   402
  let
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   403
    val ABC = read_prop "A \<Longrightarrow> B \<Longrightarrow> C"
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   404
    val BAC = read_prop "B \<Longrightarrow> A \<Longrightarrow> C"
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   405
    val A = read_prop "A"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   406
    val B = read_prop "B"
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   407
  in
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   408
    store_standard_thm_open (Binding.make ("swap_prems_eq", \<^here>))
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   409
      (Thm.equal_intr
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   410
        (Thm.implies_intr ABC (Thm.implies_intr B (Thm.implies_intr A
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   411
          (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
   412
        (Thm.implies_intr BAC (Thm.implies_intr A (Thm.implies_intr B
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   413
          (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
   414
  end;
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   415
22938
454f1678bf5f added fun/arg_cong_rule;
wenzelm
parents: 22906
diff changeset
   416
val imp_cong_rule = Thm.combination o Thm.combination (Thm.reflexive implies);
454f1678bf5f added fun/arg_cong_rule;
wenzelm
parents: 22906
diff changeset
   417
23537
ecf487dce798 tuned rotate_prems;
wenzelm
parents: 23439
diff changeset
   418
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
   419
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
   420
fun binop_cong_rule ct th1 th2 = Thm.combination (arg_cong_rule ct th1) th2;
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clasohm
parents:
diff changeset
   421
60316
wenzelm
parents: 60315
diff changeset
   422
fun beta_eta_conversion ct =
wenzelm
parents: 60315
diff changeset
   423
  let val thm = Thm.beta_conversion true ct
wenzelm
parents: 60315
diff changeset
   424
  in Thm.transitive thm (Thm.eta_conversion (Thm.rhs_of thm)) end;
15001
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   425
20861
fd0e33caeb3b a few new functions on thms and cterms
paulson
parents: 20669
diff changeset
   426
(*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
   427
fun eta_contraction_rule th =
59582
0fbed69ff081 tuned signature -- prefer qualified names;
wenzelm
parents: 59058
diff changeset
   428
  Thm.equal_elim (Thm.eta_conversion (Thm.cprop_of th)) th;
20861
fd0e33caeb3b a few new functions on thms and cterms
paulson
parents: 20669
diff changeset
   429
24947
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   430
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   431
(* abs_def *)
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   432
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   433
(*
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   434
   f ?x1 ... ?xn \<equiv> u
24947
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   435
  --------------------
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   436
   f \<equiv> \<lambda>x1 ... xn. u
24947
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   437
*)
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   438
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   439
local
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   440
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   441
fun contract_lhs th =
63068
8b9401bfd9fd unfold is subject to unfold_abs_def (still inactive);
wenzelm
parents: 62876
diff changeset
   442
  Thm.transitive (Thm.symmetric (beta_eta_conversion (#1 (Thm.dest_equals (Thm.cprop_of th))))) th;
24947
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   443
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   444
fun var_args ct =
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   445
  (case try Thm.dest_comb ct of
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   446
    SOME (f, arg) =>
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   447
      (case Thm.term_of arg of
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   448
        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
   449
      | _ => [])
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   450
  | NONE => []);
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   451
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   452
in
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   453
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   454
fun abs_def th =
18337
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   455
  let
24947
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   456
    val th' = contract_lhs th;
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   457
    val args = var_args (Thm.lhs_of th');
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   458
  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
   459
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   460
end;
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   461
18337
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   462
18468
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   463
15669
2b1f1902505d added add_used; include tpairs;
wenzelm
parents: 15574
diff changeset
   464
(*** Some useful meta-theorems ***)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   465
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   466
(*The rule V/V, obtains assumption solving for eresolve_tac*)
56436
30ccec1e82fb more source positions;
wenzelm
parents: 56245
diff changeset
   467
val asm_rl =
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   468
  store_standard_thm_open (Binding.make ("asm_rl", \<^here>))
56436
30ccec1e82fb more source positions;
wenzelm
parents: 56245
diff changeset
   469
    (Thm.trivial (read_prop "?psi"));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   470
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   471
(*Meta-level cut rule: \<lbrakk>V \<Longrightarrow> W; V\<rbrakk> \<Longrightarrow> W *)
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   472
val cut_rl =
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   473
  store_standard_thm_open (Binding.make ("cut_rl", \<^here>))
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   474
    (Thm.trivial (read_prop "?psi \<Longrightarrow> ?theta"));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   475
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   476
(*Generalized elim rule for one conclusion; cut_rl with reversed premises:
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   477
     \<lbrakk>PROP V; PROP V \<Longrightarrow> PROP W\<rbrakk> \<Longrightarrow> PROP W *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   478
val revcut_rl =
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   479
  let
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   480
    val V = read_prop "V";
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   481
    val VW = read_prop "V \<Longrightarrow> W";
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   482
  in
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   483
    store_standard_thm_open (Binding.make ("revcut_rl", \<^here>))
56436
30ccec1e82fb more source positions;
wenzelm
parents: 56245
diff changeset
   484
      (Thm.implies_intr V
30ccec1e82fb more source positions;
wenzelm
parents: 56245
diff changeset
   485
        (Thm.implies_intr VW (Thm.implies_elim (Thm.assume VW) (Thm.assume V))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   486
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   487
668
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   488
(*for deleting an unwanted assumption*)
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   489
val thin_rl =
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   490
  let
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   491
    val V = read_prop "V";
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   492
    val W = read_prop "W";
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   493
    val thm = Thm.implies_intr V (Thm.implies_intr W (Thm.assume W));
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   494
  in store_standard_thm_open (Binding.make ("thin_rl", \<^here>)) thm end;
668
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   495
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   496
(* (\<And>x. PROP ?V) \<equiv> PROP ?V       Allows removal of redundant parameters*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   497
val triv_forall_equality =
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   498
  let
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   499
    val V = read_prop "V";
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   500
    val QV = read_prop "\<And>x::'a. V";
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   501
    val x = certify (Free ("x", Term.aT []));
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   502
  in
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   503
    store_standard_thm_open (Binding.make ("triv_forall_equality", \<^here>))
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   504
      (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
   505
        (Thm.implies_intr V (Thm.forall_intr x (Thm.assume V))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   506
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   507
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   508
(* (PROP ?Phi \<Longrightarrow> PROP ?Phi \<Longrightarrow> PROP ?Psi) \<Longrightarrow>
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   509
   (PROP ?Phi \<Longrightarrow> PROP ?Psi)
19051
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   510
*)
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   511
val distinct_prems_rl =
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   512
  let
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   513
    val AAB = read_prop "Phi \<Longrightarrow> Phi \<Longrightarrow> Psi";
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   514
    val A = read_prop "Phi";
19051
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   515
  in
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   516
    store_standard_thm_open (Binding.make ("distinct_prems_rl", \<^here>))
56436
30ccec1e82fb more source positions;
wenzelm
parents: 56245
diff changeset
   517
      (implies_intr_list [AAB, A]
30ccec1e82fb more source positions;
wenzelm
parents: 56245
diff changeset
   518
        (implies_elim_list (Thm.assume AAB) [Thm.assume A, Thm.assume A]))
19051
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   519
  end;
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   520
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   521
(* \<lbrakk>PROP ?phi \<Longrightarrow> PROP ?psi; PROP ?psi \<Longrightarrow> PROP ?phi\<rbrakk>
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   522
   \<Longrightarrow> PROP ?phi \<equiv> PROP ?psi
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   523
   Introduction rule for \<equiv> as a meta-theorem.
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   524
*)
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   525
val equal_intr_rule =
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   526
  let
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   527
    val PQ = read_prop "phi \<Longrightarrow> psi";
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   528
    val QP = read_prop "psi \<Longrightarrow> phi";
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   529
  in
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   530
    store_standard_thm_open (Binding.make ("equal_intr_rule", \<^here>))
56436
30ccec1e82fb more source positions;
wenzelm
parents: 56245
diff changeset
   531
      (Thm.implies_intr PQ
30ccec1e82fb more source positions;
wenzelm
parents: 56245
diff changeset
   532
        (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
   533
  end;
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   534
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   535
(* PROP ?phi \<equiv> PROP ?psi \<Longrightarrow> PROP ?phi \<Longrightarrow> PROP ?psi *)
13368
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   536
val equal_elim_rule1 =
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   537
  let
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   538
    val eq = read_prop "phi::prop \<equiv> psi::prop";
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   539
    val P = read_prop "phi";
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   540
  in
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   541
    store_standard_thm_open (Binding.make ("equal_elim_rule1", \<^here>))
36944
dbf831a50e4a less pervasive names from structure Thm;
wenzelm
parents: 36615
diff changeset
   542
      (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
   543
  end;
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   544
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   545
(* PROP ?psi \<equiv> PROP ?phi \<Longrightarrow> PROP ?phi \<Longrightarrow> PROP ?psi *)
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   546
val equal_elim_rule2 =
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   547
  store_standard_thm_open (Binding.make ("equal_elim_rule2", \<^here>))
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   548
    (symmetric_thm RS equal_elim_rule1);
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   549
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   550
(* PROP ?phi \<Longrightarrow> PROP ?phi \<Longrightarrow> PROP ?psi \<Longrightarrow> PROP ?psi *)
12297
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   551
val remdups_rl =
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   552
  let
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   553
    val P = read_prop "phi";
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   554
    val Q = read_prop "psi";
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   555
    val thm = implies_intr_list [P, P, Q] (Thm.assume Q);
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   556
  in store_standard_thm_open (Binding.make ("remdups_rl", \<^here>)) thm end;
12297
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   557
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   558
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   559
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   560
(** embedded terms and types **)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   561
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   562
local
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   563
  val A = certify (Free ("A", propT));
62876
507c90523113 clarified modules -- simplified bootstrap;
wenzelm
parents: 61852
diff changeset
   564
  val axiom = Thm.unvarify_axiom (Context.the_global_context ());
28674
08a77c495dc1 renamed Thm.get_axiom_i to Thm.axiom;
wenzelm
parents: 28618
diff changeset
   565
  val prop_def = axiom "Pure.prop_def";
08a77c495dc1 renamed Thm.get_axiom_i to Thm.axiom;
wenzelm
parents: 28618
diff changeset
   566
  val term_def = axiom "Pure.term_def";
08a77c495dc1 renamed Thm.get_axiom_i to Thm.axiom;
wenzelm
parents: 28618
diff changeset
   567
  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
   568
  val C = Thm.lhs_of sort_constraint_def;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   569
  val T = Thm.dest_arg C;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   570
  val CA = mk_implies (C, A);
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   571
in
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   572
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   573
(* protect *)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   574
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
   575
val protect = Thm.apply (certify Logic.protectC);
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   576
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   577
val protectI =
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   578
  store_standard_thm (Binding.concealed (Binding.make ("protectI", \<^here>)))
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
   579
    (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
   580
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   581
val protectD =
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   582
  store_standard_thm (Binding.concealed (Binding.make ("protectD", \<^here>)))
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
   583
    (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
   584
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   585
val protect_cong =
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   586
  store_standard_thm_open (Binding.make ("protect_cong", \<^here>))
56436
30ccec1e82fb more source positions;
wenzelm
parents: 56245
diff changeset
   587
    (Thm.reflexive (protect A));
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   588
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   589
fun implies_intr_protected asms th =
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   590
  let val asms' = map protect asms in
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   591
    implies_elim_list
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   592
      (implies_intr_list asms th)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   593
      (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
   594
    |> implies_intr_list asms'
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   595
  end;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   596
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   597
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   598
(* term *)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   599
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   600
val termI =
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   601
  store_standard_thm (Binding.concealed (Binding.make ("termI", \<^here>)))
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
   602
    (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
   603
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   604
fun mk_term ct =
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   605
  let
60642
48dd1cefb4ae simplified Thm.instantiate and derivatives: the LHS refers to non-certified variables -- this merely serves as index into already certified structures (or is ignored);
wenzelm
parents: 60367
diff changeset
   606
    val cT = Thm.ctyp_of_cterm ct;
48dd1cefb4ae simplified Thm.instantiate and derivatives: the LHS refers to non-certified variables -- this merely serves as index into already certified structures (or is ignored);
wenzelm
parents: 60367
diff changeset
   607
    val T = Thm.typ_of cT;
48dd1cefb4ae simplified Thm.instantiate and derivatives: the LHS refers to non-certified variables -- this merely serves as index into already certified structures (or is ignored);
wenzelm
parents: 60367
diff changeset
   608
  in Thm.instantiate ([((("'a", 0), []), cT)], [((("x", 0), T), ct)]) termI end;
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   609
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   610
fun dest_term th =
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   611
  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
   612
    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
   613
      Thm.dest_arg cprop
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   614
    else raise THM ("dest_term", 0, [th])
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   615
  end;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   616
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   617
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
   618
60818
5e11a6e2b044 more direct access to atomic cterms;
wenzelm
parents: 60805
diff changeset
   619
val cterm_add_frees = Thm.add_frees o mk_term;
5e11a6e2b044 more direct access to atomic cterms;
wenzelm
parents: 60805
diff changeset
   620
val cterm_add_vars = Thm.add_vars o mk_term;
5e11a6e2b044 more direct access to atomic cterms;
wenzelm
parents: 60805
diff changeset
   621
45156
a9b6c2ea7bec added Term.dummy_pattern conveniences;
wenzelm
parents: 44117
diff changeset
   622
val dummy_thm = mk_term (certify Term.dummy_prop);
61852
d273c24b5776 tuned signature -- clarified modules;
wenzelm
parents: 60952
diff changeset
   623
val free_dummy_thm = Thm.tag_free_dummy dummy_thm;
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   624
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   625
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   626
(* sort_constraint *)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   627
60240
3f61058a2de6 suppress formal sort-constraints, in accordance to norm_hhf_eqs;
wenzelm
parents: 59995
diff changeset
   628
fun is_sort_constraint (Const ("Pure.sort_constraint", _) $ Const ("Pure.type", _)) = true
3f61058a2de6 suppress formal sort-constraints, in accordance to norm_hhf_eqs;
wenzelm
parents: 59995
diff changeset
   629
  | is_sort_constraint _ = false;
3f61058a2de6 suppress formal sort-constraints, in accordance to norm_hhf_eqs;
wenzelm
parents: 59995
diff changeset
   630
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   631
val sort_constraintI =
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   632
  store_standard_thm (Binding.concealed (Binding.make ("sort_constraintI", \<^here>)))
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
   633
    (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
   634
33277
1bdc3c732fdd Drule.store: proper binding;
wenzelm
parents: 33095
diff changeset
   635
val sort_constraint_eq =
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   636
  store_standard_thm (Binding.concealed (Binding.make ("sort_constraint_eq", \<^here>)))
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
   637
    (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
   638
      (Thm.implies_intr CA (Thm.implies_elim (Thm.assume CA)
62876
507c90523113 clarified modules -- simplified bootstrap;
wenzelm
parents: 61852
diff changeset
   639
        (Thm.unvarify_global (Context.the_global_context ()) 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
   640
      (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
   641
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   642
end;
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
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   645
(* HHF normalization *)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   646
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   647
(* (PROP ?phi \<Longrightarrow> (\<And>x. PROP ?psi x)) \<equiv> (\<And>x. PROP ?phi \<Longrightarrow> PROP ?psi x) *)
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   648
val norm_hhf_eq =
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   649
  let
14854
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14824
diff changeset
   650
    val aT = TFree ("'a", []);
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   651
    val x = Free ("x", aT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   652
    val phi = Free ("phi", propT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   653
    val psi = Free ("psi", aT --> propT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   654
26487
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   655
    val cx = certify x;
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   656
    val cphi = certify phi;
46214
wenzelm
parents: 46186
diff changeset
   657
    val lhs = certify (Logic.mk_implies (phi, Logic.all x (psi $ x)));
wenzelm
parents: 46186
diff changeset
   658
    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
   659
  in
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   660
    Thm.equal_intr
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   661
      (Thm.implies_elim (Thm.assume lhs) (Thm.assume cphi)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   662
        |> Thm.forall_elim cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   663
        |> Thm.implies_intr cphi
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   664
        |> Thm.forall_intr cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   665
        |> Thm.implies_intr lhs)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   666
      (Thm.implies_elim
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   667
          (Thm.assume rhs |> Thm.forall_elim cx) (Thm.assume cphi)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   668
        |> Thm.forall_intr cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   669
        |> Thm.implies_intr cphi
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   670
        |> Thm.implies_intr rhs)
64556
851ae0e7b09c more symbols;
wenzelm
parents: 63068
diff changeset
   671
    |> store_standard_thm_open (Binding.make ("norm_hhf_eq", \<^here>))
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   672
  end;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   673
18179
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   674
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
   675
val norm_hhf_eqs = [norm_hhf_eq, sort_constraint_eq];
18179
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   676
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
   677
fun is_norm_hhf (Const ("Pure.sort_constraint", _)) = false
56245
84fc7dfa3cd4 more qualified names;
wenzelm
parents: 52467
diff changeset
   678
  | is_norm_hhf (Const ("Pure.imp", _) $ _ $ (Const ("Pure.all", _) $ _)) = false
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
   679
  | 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
   680
  | 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
   681
  | 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
   682
  | is_norm_hhf _ = true;
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   683
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   684
fun norm_hhf thy t =
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   685
  if is_norm_hhf t then t
18179
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   686
  else Pattern.rewrite_term thy [norm_hhf_prop] [] t;
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   687
60315
c08adefc98ea more explicit context;
wenzelm
parents: 60314
diff changeset
   688
fun norm_hhf_cterm ctxt raw_ct =
c08adefc98ea more explicit context;
wenzelm
parents: 60314
diff changeset
   689
  let
c08adefc98ea more explicit context;
wenzelm
parents: 60314
diff changeset
   690
    val thy = Proof_Context.theory_of ctxt;
c08adefc98ea more explicit context;
wenzelm
parents: 60314
diff changeset
   691
    val ct = Thm.transfer_cterm thy raw_ct;
c08adefc98ea more explicit context;
wenzelm
parents: 60314
diff changeset
   692
    val t = Thm.term_of ct;
c08adefc98ea more explicit context;
wenzelm
parents: 60314
diff changeset
   693
  in if is_norm_hhf t then ct else Thm.cterm_of ctxt (norm_hhf thy t) end;
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   694
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   695
21603
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   696
(* var indexes *)
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   697
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   698
fun incr_indexes th = Thm.incr_indexes (Thm.maxidx_of th + 1);
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   699
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   700
fun incr_indexes2 th1 th2 =
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   701
  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
   702
52224
6ba76ad4e679 more precise "incremented" indication, which might be relevant in corner cases, e.g. instantiation of leading to vars with different types (which is a potential problem nonetheless);
wenzelm
parents: 52223
diff changeset
   703
local
6ba76ad4e679 more precise "incremented" indication, which might be relevant in corner cases, e.g. instantiation of leading to vars with different types (which is a potential problem nonetheless);
wenzelm
parents: 52223
diff changeset
   704
67721
5348bea4accd eliminated ASCII syntax from Pure bootstrap;
wenzelm
parents: 64556
diff changeset
   705
(*compose Q and \<lbrakk>Q1,Q2,...,Qk\<rbrakk> \<Longrightarrow> R to \<lbrakk>Q2,...,Qk\<rbrakk> \<Longrightarrow> R getting unique result*)
52224
6ba76ad4e679 more precise "incremented" indication, which might be relevant in corner cases, e.g. instantiation of leading to vars with different types (which is a potential problem nonetheless);
wenzelm
parents: 52223
diff changeset
   706
fun comp incremented th1 th2 =
59773
wenzelm
parents: 59759
diff changeset
   707
  Thm.bicompose NONE {flatten = true, match = false, incremented = incremented}
wenzelm
parents: 59759
diff changeset
   708
    (false, th1, 0) 1 th2
52224
6ba76ad4e679 more precise "incremented" indication, which might be relevant in corner cases, e.g. instantiation of leading to vars with different types (which is a potential problem nonetheless);
wenzelm
parents: 52223
diff changeset
   709
  |> Seq.list_of |> distinct Thm.eq_thm
6ba76ad4e679 more precise "incremented" indication, which might be relevant in corner cases, e.g. instantiation of leading to vars with different types (which is a potential problem nonetheless);
wenzelm
parents: 52223
diff changeset
   710
  |> (fn [th] => th | _ => raise THM ("COMP", 1, [th1, th2]));
6ba76ad4e679 more precise "incremented" indication, which might be relevant in corner cases, e.g. instantiation of leading to vars with different types (which is a potential problem nonetheless);
wenzelm
parents: 52223
diff changeset
   711
6ba76ad4e679 more precise "incremented" indication, which might be relevant in corner cases, e.g. instantiation of leading to vars with different types (which is a potential problem nonetheless);
wenzelm
parents: 52223
diff changeset
   712
in
6ba76ad4e679 more precise "incremented" indication, which might be relevant in corner cases, e.g. instantiation of leading to vars with different types (which is a potential problem nonetheless);
wenzelm
parents: 52223
diff changeset
   713
6ba76ad4e679 more precise "incremented" indication, which might be relevant in corner cases, e.g. instantiation of leading to vars with different types (which is a potential problem nonetheless);
wenzelm
parents: 52223
diff changeset
   714
fun th1 COMP th2 = comp false th1 th2;
6ba76ad4e679 more precise "incremented" indication, which might be relevant in corner cases, e.g. instantiation of leading to vars with different types (which is a potential problem nonetheless);
wenzelm
parents: 52223
diff changeset
   715
fun th1 INCR_COMP th2 = comp true (incr_indexes th2 th1) th2;
6ba76ad4e679 more precise "incremented" indication, which might be relevant in corner cases, e.g. instantiation of leading to vars with different types (which is a potential problem nonetheless);
wenzelm
parents: 52223
diff changeset
   716
fun th1 COMP_INCR th2 = comp true th1 (incr_indexes th1 th2);
6ba76ad4e679 more precise "incremented" indication, which might be relevant in corner cases, e.g. instantiation of leading to vars with different types (which is a potential problem nonetheless);
wenzelm
parents: 52223
diff changeset
   717
6ba76ad4e679 more precise "incremented" indication, which might be relevant in corner cases, e.g. instantiation of leading to vars with different types (which is a potential problem nonetheless);
wenzelm
parents: 52223
diff changeset
   718
end;
21603
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   719
29344
fc4a04a2970a added comp_no_flatten;
wenzelm
parents: 29270
diff changeset
   720
fun comp_no_flatten (th, n) i rule =
fc4a04a2970a added comp_no_flatten;
wenzelm
parents: 29270
diff changeset
   721
  (case distinct Thm.eq_thm (Seq.list_of
58950
d07464875dd4 optional proof context for unify operations, for the sake of proper local options;
wenzelm
parents: 56436
diff changeset
   722
      (Thm.bicompose NONE {flatten = false, match = false, incremented = true}
52223
5bb6ae8acb87 tuned signature -- more explicit flags for low-level Thm.bicompose;
wenzelm
parents: 52131
diff changeset
   723
        (false, th, n) i (incr_indexes th rule))) of
29344
fc4a04a2970a added comp_no_flatten;
wenzelm
parents: 29270
diff changeset
   724
    [th'] => th'
fc4a04a2970a added comp_no_flatten;
wenzelm
parents: 29270
diff changeset
   725
  | [] => raise THM ("comp_no_flatten", i, [th, rule])
fc4a04a2970a added comp_no_flatten;
wenzelm
parents: 29270
diff changeset
   726
  | _ => raise THM ("comp_no_flatten: unique result expected", i, [th, rule]));
fc4a04a2970a added comp_no_flatten;
wenzelm
parents: 29270
diff changeset
   727
fc4a04a2970a added comp_no_flatten;
wenzelm
parents: 29270
diff changeset
   728
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   729
45348
6976920b709c tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents: 45347
diff changeset
   730
(** variations on Thm.instantiate **)
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   731
43333
2bdec7f430d3 renamed Drule.instantiate to Drule.instantiate_normalize to emphasize its meaning as opposed to plain Thm.instantiate;
wenzelm
parents: 43330
diff changeset
   732
fun instantiate_normalize instpair th =
21603
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   733
  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
   734
70157
62b19f19350a meson: more cterm operations;
wenzelm
parents: 70152
diff changeset
   735
fun instantiate'_normalize Ts ts th =
62b19f19350a meson: more cterm operations;
wenzelm
parents: 70152
diff changeset
   736
  Thm.adjust_maxidx_thm ~1 (Thm.instantiate' Ts ts th COMP_INCR asm_rl);
62b19f19350a meson: more cterm operations;
wenzelm
parents: 70152
diff changeset
   737
60778
682c0dd89b26 added infer_instantiate, which is meant to supersede cterm_instantiate;
wenzelm
parents: 60642
diff changeset
   738
(*instantiation with type-inference for variables*)
60795
c24fa03f4c71 tuned signature;
wenzelm
parents: 60794
diff changeset
   739
fun infer_instantiate_types _ [] th = th
60798
9a9694087cda more explicit checks -- improved errors;
wenzelm
parents: 60797
diff changeset
   740
  | infer_instantiate_types ctxt args raw_th =
60794
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   741
      let
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   742
        val thy = Proof_Context.theory_of ctxt;
60798
9a9694087cda more explicit checks -- improved errors;
wenzelm
parents: 60797
diff changeset
   743
        val th = Thm.transfer thy raw_th;
60794
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   744
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   745
        fun infer ((xi, T), cu) (tyenv, maxidx) =
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   746
          let
60798
9a9694087cda more explicit checks -- improved errors;
wenzelm
parents: 60797
diff changeset
   747
            val _ = Thm.ctyp_of ctxt T;
9a9694087cda more explicit checks -- improved errors;
wenzelm
parents: 60797
diff changeset
   748
            val _ = Thm.transfer_cterm thy cu;
60794
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   749
            val U = Thm.typ_of_cterm cu;
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   750
            val maxidx' = maxidx
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   751
              |> Integer.max (#2 xi)
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   752
              |> Term.maxidx_typ T
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   753
              |> Integer.max (Thm.maxidx_of_cterm cu);
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   754
            val (tyenv', maxidx'') = Sign.typ_unify thy (T, U) (tyenv, maxidx')
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   755
              handle Type.TUNIFY =>
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   756
                let
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   757
                  val t = Var (xi, T);
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   758
                  val u = Thm.term_of cu;
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   759
                in
60795
c24fa03f4c71 tuned signature;
wenzelm
parents: 60794
diff changeset
   760
                  raise THM ("infer_instantiate_types: type " ^
60794
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   761
                    Syntax.string_of_typ ctxt (Envir.norm_type tyenv T) ^ " of variable " ^
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   762
                    Syntax.string_of_term ctxt (Term.map_types (Envir.norm_type tyenv) t) ^
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   763
                    "\ncannot be unified with type " ^
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   764
                    Syntax.string_of_typ ctxt (Envir.norm_type tyenv U) ^ " of term " ^
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   765
                    Syntax.string_of_term ctxt (Term.map_types (Envir.norm_type tyenv) u),
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   766
                    0, [th])
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   767
                end;
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   768
          in (tyenv', maxidx'') end;
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   769
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   770
        val (tyenv, _) = fold infer args (Vartab.empty, 0);
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   771
        val instT =
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   772
          Vartab.fold (fn (xi, (S, T)) =>
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   773
            cons ((xi, S), Thm.ctyp_of ctxt (Envir.norm_type tyenv T))) tyenv [];
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   774
        val inst = args |> map (fn ((xi, T), cu) =>
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   775
          ((xi, Envir.norm_type tyenv T),
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   776
            Thm.instantiate_cterm (instT, []) (Thm.transfer_cterm thy cu)));
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   777
      in instantiate_normalize (instT, inst) th end
60798
9a9694087cda more explicit checks -- improved errors;
wenzelm
parents: 60797
diff changeset
   778
      handle CTERM (msg, _) => raise THM (msg, 0, [raw_th])
9a9694087cda more explicit checks -- improved errors;
wenzelm
parents: 60797
diff changeset
   779
        | TERM (msg, _) => raise THM (msg, 0, [raw_th])
9a9694087cda more explicit checks -- improved errors;
wenzelm
parents: 60797
diff changeset
   780
        | TYPE (msg, _, _) => raise THM (msg, 0, [raw_th]);
60794
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   781
60778
682c0dd89b26 added infer_instantiate, which is meant to supersede cterm_instantiate;
wenzelm
parents: 60642
diff changeset
   782
fun infer_instantiate _ [] th = th
682c0dd89b26 added infer_instantiate, which is meant to supersede cterm_instantiate;
wenzelm
parents: 60642
diff changeset
   783
  | infer_instantiate ctxt args th =
682c0dd89b26 added infer_instantiate, which is meant to supersede cterm_instantiate;
wenzelm
parents: 60642
diff changeset
   784
      let
682c0dd89b26 added infer_instantiate, which is meant to supersede cterm_instantiate;
wenzelm
parents: 60642
diff changeset
   785
        val vars = Term.add_vars (Thm.full_prop_of th) [];
682c0dd89b26 added infer_instantiate, which is meant to supersede cterm_instantiate;
wenzelm
parents: 60642
diff changeset
   786
        val dups = duplicates (eq_fst op =) vars;
682c0dd89b26 added infer_instantiate, which is meant to supersede cterm_instantiate;
wenzelm
parents: 60642
diff changeset
   787
        val _ = null dups orelse
682c0dd89b26 added infer_instantiate, which is meant to supersede cterm_instantiate;
wenzelm
parents: 60642
diff changeset
   788
          raise THM ("infer_instantiate: inconsistent types for variables " ^
682c0dd89b26 added infer_instantiate, which is meant to supersede cterm_instantiate;
wenzelm
parents: 60642
diff changeset
   789
            commas_quote (map (Syntax.string_of_term (Config.put show_types true ctxt) o Var) dups),
682c0dd89b26 added infer_instantiate, which is meant to supersede cterm_instantiate;
wenzelm
parents: 60642
diff changeset
   790
            0, [th]);
60794
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   791
        val args' = args |> map_filter (fn (xi, cu) =>
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   792
          AList.lookup (op =) vars xi |> Option.map (fn T => ((xi, T), cu)));
60795
c24fa03f4c71 tuned signature;
wenzelm
parents: 60794
diff changeset
   793
      in infer_instantiate_types ctxt args' th end;
60778
682c0dd89b26 added infer_instantiate, which is meant to supersede cterm_instantiate;
wenzelm
parents: 60642
diff changeset
   794
60783
495bede1c4d9 added infer_instantiate';
wenzelm
parents: 60782
diff changeset
   795
fun infer_instantiate' ctxt args th =
495bede1c4d9 added infer_instantiate';
wenzelm
parents: 60782
diff changeset
   796
  let
60794
f21f70d24844 added infer_instantiate_vars, which allows inconsistent types for variables, as required for Metis proof reconstruction;
wenzelm
parents: 60786
diff changeset
   797
    val vars = rev (Term.add_vars (Thm.full_prop_of th) []);
60783
495bede1c4d9 added infer_instantiate';
wenzelm
parents: 60782
diff changeset
   798
    val args' = zip_options vars args
495bede1c4d9 added infer_instantiate';
wenzelm
parents: 60782
diff changeset
   799
      handle ListPair.UnequalLengths =>
495bede1c4d9 added infer_instantiate';
wenzelm
parents: 60782
diff changeset
   800
        raise THM ("infer_instantiate': more instantiations than variables in thm", 0, [th]);
60795
c24fa03f4c71 tuned signature;
wenzelm
parents: 60794
diff changeset
   801
  in infer_instantiate_types ctxt args' th end;
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   802
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   803
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   804
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   805
(** renaming of bound variables **)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   806
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   807
(* replace bound variables x_i in thm by y_i *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   808
(* where vs = [(x_1, y_1), ..., (x_n, y_n)]  *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   809
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   810
fun rename_bvars [] thm = thm
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   811
  | rename_bvars vs thm =
26627
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   812
      let
60313
2a0b42cd58fb tuned -- more direct Thm.renamed_prop;
wenzelm
parents: 60240
diff changeset
   813
        fun rename (Abs (x, T, t)) = Abs (AList.lookup (op =) vs x |> the_default x, T, rename t)
2a0b42cd58fb tuned -- more direct Thm.renamed_prop;
wenzelm
parents: 60240
diff changeset
   814
          | rename (t $ u) = rename t $ rename u
2a0b42cd58fb tuned -- more direct Thm.renamed_prop;
wenzelm
parents: 60240
diff changeset
   815
          | rename a = a;
2a0b42cd58fb tuned -- more direct Thm.renamed_prop;
wenzelm
parents: 60240
diff changeset
   816
      in Thm.renamed_prop (rename (Thm.prop_of thm)) thm end;
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   817
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   818
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   819
(* renaming in left-to-right order *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   820
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   821
fun rename_bvars' xs thm =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   822
  let
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   823
    fun rename [] t = ([], t)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   824
      | rename (x' :: xs) (Abs (x, T, t)) =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   825
          let val (xs', t') = rename xs t
18929
d81435108688 Envir.(beta_)eta_contract;
wenzelm
parents: 18922
diff changeset
   826
          in (xs', Abs (the_default x x', T, t')) end
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   827
      | rename xs (t $ u) =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   828
          let
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   829
            val (xs', t') = rename xs t;
60313
2a0b42cd58fb tuned -- more direct Thm.renamed_prop;
wenzelm
parents: 60240
diff changeset
   830
            val (xs'', u') = rename xs' u;
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   831
          in (xs'', t' $ u') end
60320
wenzelm
parents: 60319
diff changeset
   832
      | rename xs a = (xs, a);
59616
eb59c6968219 tuned -- more explicit use of context;
wenzelm
parents: 59591
diff changeset
   833
  in
60313
2a0b42cd58fb tuned -- more direct Thm.renamed_prop;
wenzelm
parents: 60240
diff changeset
   834
    (case rename xs (Thm.prop_of thm) of
2a0b42cd58fb tuned -- more direct Thm.renamed_prop;
wenzelm
parents: 60240
diff changeset
   835
      ([], prop') => Thm.renamed_prop prop' thm
59616
eb59c6968219 tuned -- more explicit use of context;
wenzelm
parents: 59591
diff changeset
   836
    | _ => error "More names than abstractions in theorem")
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   837
  end;
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   838
11975
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   839
end;
5903
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   840
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
   841
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
   842
open Basic_Drule;