src/Pure/drule.ML
author wenzelm
Thu, 23 Oct 2008 15:28:01 +0200
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permissions -rw-r--r--
renamed Thm.get_axiom_i to Thm.axiom;
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(*  Title:      Pure/drule.ML
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    ID:         $Id$
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    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
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    Copyright   1993  University of Cambridge
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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 MRL OF COMP INCR_COMP COMP_INCR;
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signature BASIC_DRULE =
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sig
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  val mk_implies: cterm * cterm -> cterm
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  val list_implies: cterm list * cterm -> cterm
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  val strip_imp_prems: cterm -> cterm list
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  val strip_imp_concl: cterm -> cterm
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  val cprems_of: thm -> cterm list
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  val cterm_fun: (term -> term) -> (cterm -> cterm)
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  val ctyp_fun: (typ -> typ) -> (ctyp -> ctyp)
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  val forall_intr_list: cterm list -> thm -> thm
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  val forall_intr_frees: thm -> thm
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  val forall_intr_vars: thm -> thm
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  val forall_elim_list: cterm list -> thm -> thm
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  val gen_all: thm -> thm
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  val lift_all: cterm -> thm -> thm
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  val freeze_thaw: thm -> thm * (thm -> thm)
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  val freeze_thaw_robust: thm -> thm * (int -> 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: (ctyp * ctyp) list * (cterm * cterm) list -> thm -> thm
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  val zero_var_indexes_list: thm list -> thm list
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  val zero_var_indexes: thm -> thm
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  val implies_intr_hyps: thm -> thm
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  val standard: thm -> thm
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  val standard': 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 MRL: thm list list * thm list -> thm list
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  val OF: thm * thm list -> thm
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  val compose: thm * int * thm -> thm list
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  val COMP: thm * thm -> thm
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  val INCR_COMP: thm * thm -> thm
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  val COMP_INCR: thm * thm -> thm
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  val cterm_instantiate: (cterm*cterm)list -> thm -> thm
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  val size_of_thm: thm -> int
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  val reflexive_thm: thm
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  val symmetric_thm: thm
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  val transitive_thm: thm
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  val symmetric_fun: thm -> thm
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  val extensional: 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 asm_rl: thm
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  val cut_rl: thm
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  val revcut_rl: thm
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  val thin_rl: thm
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  val triv_forall_equality: thm
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  val distinct_prems_rl: thm
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  val swap_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 instantiate': ctyp option list -> cterm option list -> thm -> thm
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end;
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signature DRULE =
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sig
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  include BASIC_DRULE
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  val generalize: string list * string list -> thm -> thm
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  val list_comb: cterm * cterm list -> cterm
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  val strip_comb: cterm -> cterm * cterm list
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  val strip_type: ctyp -> ctyp list * ctyp
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  val beta_conv: cterm -> cterm -> cterm
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  val types_sorts: thm -> (indexname-> typ option) * (indexname-> sort option)
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  val flexflex_unique: thm -> thm
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  val store_thm: bstring -> thm -> thm
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  val store_standard_thm: bstring -> thm -> thm
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  val store_thm_open: bstring -> thm -> thm
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  val store_standard_thm_open: bstring -> thm -> thm
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  val compose_single: thm * int * thm -> thm
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  val imp_cong_rule: thm -> thm -> thm
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  val arg_cong_rule: cterm -> thm -> thm
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  val binop_cong_rule: cterm -> thm -> thm -> thm
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  val fun_cong_rule: thm -> cterm -> thm
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  val beta_eta_conversion: cterm -> thm
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  val eta_long_conversion: cterm -> thm
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  val eta_contraction_rule: thm -> thm
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  val norm_hhf_eq: thm
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  val norm_hhf_eqs: thm list
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  val is_norm_hhf: term -> bool
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  val norm_hhf: theory -> term -> term
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  val norm_hhf_cterm: cterm -> cterm
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  val protect: cterm -> cterm
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  val protectI: thm
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  val protectD: thm
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  val protect_cong: thm
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  val implies_intr_protected: cterm list -> thm -> thm
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  val termI: thm
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  val mk_term: cterm -> thm
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  val dest_term: thm -> cterm
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  val cterm_rule: (thm -> thm) -> cterm -> cterm
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  val term_rule: theory -> (thm -> thm) -> term -> term
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  val dummy_thm: thm
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  val sort_constraintI: thm
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  val sort_constraint_eq: thm
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  val sort_triv: theory -> typ * sort -> thm list
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  val unconstrainTs: thm -> thm
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  val with_subgoal: int -> (thm -> thm) -> 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_type_indexes: int -> 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 remdups_rl: thm
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  val multi_resolve: thm list -> thm -> thm Seq.seq
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  val multi_resolves: thm list -> thm list -> thm Seq.seq
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  val abs_def: thm -> thm
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end;
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structure Drule: DRULE =
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struct
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(** some cterm->cterm operations: faster than calling cterm_of! **)
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(* A1==>...An==>B  goes to  [A1,...,An], where B is not an implication *)
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fun strip_imp_prems ct =
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  let val (cA, cB) = Thm.dest_implies ct
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  in cA :: strip_imp_prems cB end
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  handle TERM _ => [];
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(* A1==>...An==>B  goes to B, where B is not an implication *)
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fun strip_imp_concl ct =
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  (case Thm.term_of ct of
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    Const ("==>", _) $ _ $ _ => strip_imp_concl (Thm.dest_arg ct)
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  | _ => ct);
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(*The premises of a theorem, as a cterm list*)
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val cprems_of = strip_imp_prems o cprop_of;
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fun cterm_fun f ct = Thm.cterm_of (Thm.theory_of_cterm ct) (f (Thm.term_of ct));
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fun ctyp_fun f cT = Thm.ctyp_of (Thm.theory_of_ctyp cT) (f (Thm.typ_of cT));
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fun certify t = Thm.cterm_of (Context.the_theory (Context.the_thread_data ())) t;
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val implies = certify Logic.implies;
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fun mk_implies (A, B) = Thm.capply (Thm.capply implies A) B;
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(*cterm version of list_implies: [A1,...,An], B  goes to [|A1;==>;An|]==>B *)
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fun list_implies([], B) = B
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  | list_implies(A::AS, B) = mk_implies (A, list_implies(AS,B));
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(*cterm version of list_comb: maps  (f, [t1,...,tn])  to  f(t1,...,tn) *)
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fun list_comb (f, []) = f
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  | list_comb (f, t::ts) = list_comb (Thm.capply f t, ts);
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(*cterm version of strip_comb: maps  f(t1,...,tn)  to  (f, [t1,...,tn]) *)
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fun strip_comb ct =
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  let
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    fun stripc (p as (ct, cts)) =
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      let val (ct1, ct2) = Thm.dest_comb ct
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      in stripc (ct1, ct2 :: cts) end handle CTERM _ => p
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  in stripc (ct, []) end;
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(* cterm version of strip_type: maps  [T1,...,Tn]--->T  to   ([T1,T2,...,Tn], T) *)
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fun strip_type cT = (case Thm.typ_of cT of
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    Type ("fun", _) =>
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      let
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        val [cT1, cT2] = Thm.dest_ctyp cT;
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        val (cTs, cT') = strip_type cT2
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      in (cT1 :: cTs, cT') end
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  | _ => ([], cT));
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(*Beta-conversion for cterms, where x is an abstraction. Simply returns the rhs
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  of the meta-equality returned by the beta_conversion rule.*)
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fun beta_conv x y =
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  Thm.dest_arg (cprop_of (Thm.beta_conversion false (Thm.capply x y)));
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(*** Find the type (sort) associated with a (T)Var or (T)Free in a term
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     Used for establishing default types (of variables) and sorts (of
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     type variables) when reading another term.
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     Index -1 indicates that a (T)Free rather than a (T)Var is wanted.
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***)
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fun types_sorts thm =
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  let
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    val vars = Thm.fold_terms Term.add_vars thm [];
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    val frees = Thm.fold_terms Term.add_frees thm [];
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    val tvars = Thm.fold_terms Term.add_tvars thm [];
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    val tfrees = Thm.fold_terms Term.add_tfrees thm [];
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    fun types (a, i) =
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      if i < 0 then AList.lookup (op =) frees a else AList.lookup (op =) vars (a, i);
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    fun sorts (a, i) =
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      if i < 0 then AList.lookup (op =) tfrees a else AList.lookup (op =) tvars (a, i);
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  in (types, sorts) end;
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(** Standardization of rules **)
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(* type classes and sorts *)
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fun sort_triv thy (T, S) =
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  let
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    val certT = Thm.ctyp_of thy;
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    val cT = certT T;
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    fun class_triv c =
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      Thm.class_triv thy c
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      |> Thm.instantiate ([(certT (TVar ((Name.aT, 0), [c])), cT)], []);
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  in map class_triv S end;
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fun unconstrainTs th =
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  fold (Thm.unconstrainT o Thm.ctyp_of (Thm.theory_of_thm th) o TVar)
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    (Thm.fold_terms Term.add_tvars th []) th;
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(*Generalization over a list of variables*)
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val forall_intr_list = fold_rev forall_intr;
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(*Generalization over all suitable Free variables*)
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fun forall_intr_frees th =
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    let
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      val thy = Thm.theory_of_thm th;
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      val {prop, hyps, tpairs, ...} = rep_thm th;
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      val fixed = fold Term.add_frees (Thm.terms_of_tpairs tpairs @ hyps) [];
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      val frees = Term.fold_aterms (fn Free v =>
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        if member (op =) fixed v then I else insert (op =) v | _ => I) prop [];
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    in fold (forall_intr o cterm_of thy o Free) frees th end;
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(*Generalization over Vars -- canonical order*)
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fun forall_intr_vars th =
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  fold forall_intr
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    (map (Thm.cterm_of (Thm.theory_of_thm th) o Var) (Thm.fold_terms Term.add_vars th [])) th;
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fun outer_params t =
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  let val vs = Term.strip_all_vars t
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  in Name.variant_list [] (map (Name.clean o #1) vs) ~~ map #2 vs end;
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(*generalize outermost parameters*)
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fun gen_all th =
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  let
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    val thy = Thm.theory_of_thm th;
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    val {prop, maxidx, ...} = Thm.rep_thm th;
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    val cert = Thm.cterm_of thy;
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    fun elim (x, T) = Thm.forall_elim (cert (Var ((x, maxidx + 1), T)));
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  in fold elim (outer_params prop) th end;
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(*lift vars wrt. outermost goal parameters
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  -- reverses the effect of gen_all modulo higher-order unification*)
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fun lift_all goal th =
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  let
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    val thy = Theory.merge (Thm.theory_of_cterm goal, Thm.theory_of_thm th);
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    val cert = Thm.cterm_of thy;
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    val maxidx = Thm.maxidx_of th;
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    val ps = outer_params (Thm.term_of goal)
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      |> map (fn (x, T) => Var ((x, maxidx + 1), Logic.incr_tvar (maxidx + 1) T));
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    val Ts = map Term.fastype_of ps;
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    val inst = Thm.fold_terms Term.add_vars th [] |> map (fn (xi, T) =>
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      (cert (Var (xi, T)), cert (Term.list_comb (Var (xi, Ts ---> T), ps))));
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  in
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    th |> Thm.instantiate ([], inst)
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    |> fold_rev (Thm.forall_intr o cert) ps
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  end;
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(*direct generalization*)
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fun generalize names th = Thm.generalize names (Thm.maxidx_of th + 1) th;
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(*specialization over a list of cterms*)
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val forall_elim_list = fold forall_elim;
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(*maps A1,...,An |- B  to  [| A1;...;An |] ==> B*)
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val implies_intr_list = fold_rev implies_intr;
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(*maps [| A1;...;An |] ==> B and [A1,...,An]  to  B*)
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fun implies_elim_list impth ths = fold Thm.elim_implies ths impth;
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(*Reset Var indexes to zero, renaming to preserve distinctness*)
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fun zero_var_indexes_list [] = []
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  | zero_var_indexes_list ths =
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      let
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        val thy = Theory.merge_list (map Thm.theory_of_thm ths);
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        val certT = Thm.ctyp_of thy and cert = Thm.cterm_of thy;
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   291
        val (instT, inst) = TermSubst.zero_var_indexes_inst (map Thm.full_prop_of ths);
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
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   292
        val cinstT = map (fn (v, T) => (certT (TVar v), certT T)) instT;
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wenzelm
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   293
        val cinst = map (fn (v, t) => (cert (Var v), cert t)) inst;
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   294
      in map (Thm.adjust_maxidx_thm ~1 o Thm.instantiate (cinstT, cinst)) ths end;
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   295
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   296
val zero_var_indexes = singleton zero_var_indexes_list;
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clasohm
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   297
a5a9c433f639 Initial revision
clasohm
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   298
14394
51b24127eef2 comments!!
paulson
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   299
(** Standard form of object-rule: no hypotheses, flexflex constraints,
51b24127eef2 comments!!
paulson
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diff changeset
   300
    Frees, or outer quantifiers; all generality expressed by Vars of index 0.**)
10515
8430c8fa8a9f standard: close_derivation;
wenzelm
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   301
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wenzelm
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   302
(*Discharge all hypotheses.*)
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wenzelm
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   303
fun implies_intr_hyps th =
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wenzelm
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   304
  fold Thm.implies_intr (#hyps (Thm.crep_thm th)) th;
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wenzelm
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diff changeset
   305
14394
51b24127eef2 comments!!
paulson
parents: 14391
diff changeset
   306
(*Squash a theorem's flexflex constraints provided it can be done uniquely.
51b24127eef2 comments!!
paulson
parents: 14391
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   307
  This step can lose information.*)
14387
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
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   308
fun flexflex_unique th =
17713
7efbe0ec9d4c Optimized and exported flexflex_unique.
berghofe
parents: 17657
diff changeset
   309
  if null (tpairs_of th) then th else
23439
8c7da8649f2f A more robust flexflex_unique
paulson
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diff changeset
   310
    case distinct Thm.eq_thm (Seq.list_of (flexflex_rule th)) of
8c7da8649f2f A more robust flexflex_unique
paulson
parents: 23423
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   311
      [th] => th
8c7da8649f2f A more robust flexflex_unique
paulson
parents: 23423
diff changeset
   312
    | []   => raise THM("flexflex_unique: impossible constraints", 0, [th])
8c7da8649f2f A more robust flexflex_unique
paulson
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   313
    |  _   => raise THM("flexflex_unique: multiple unifiers", 0, [th]);
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paulson
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   314
21603
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   315
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
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   316
(* legacy standard operations *)
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
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   317
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
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   318
val standard' =
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wenzelm
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diff changeset
   319
  implies_intr_hyps
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wenzelm
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   320
  #> forall_intr_frees
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   321
  #> `Thm.maxidx_of
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
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   322
  #-> (fn maxidx =>
26653
60e0cf6bef89 Thm.forall_elim_var(s);
wenzelm
parents: 26627
diff changeset
   323
    Thm.forall_elim_vars (maxidx + 1)
20904
363a9cba2953 added dest_equals_lhs;
wenzelm
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diff changeset
   324
    #> Thm.strip_shyps
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   325
    #> zero_var_indexes
26627
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   326
    #> Thm.varifyT);
1218
59ed8ef1a3a1 modified pretty_thm, standard, eq_thm to handle shyps;
wenzelm
parents: 1194
diff changeset
   327
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   328
val standard =
21600
222810ce6b05 *** bad commit -- reverted to previous version ***
wenzelm
parents: 21596
diff changeset
   329
  flexflex_unique
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   330
  #> standard'
26627
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   331
  #> Thm.close_derivation;
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   332
0
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clasohm
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   333
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   334
(*Convert all Vars in a theorem to Frees.  Also return a function for
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   335
  reversing that operation.  DOES NOT WORK FOR TYPE VARIABLES.
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   336
  Similar code in type/freeze_thaw*)
15495
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   337
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   338
fun freeze_thaw_robust th =
19878
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   339
 let val fth = Thm.freezeT th
26627
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   340
     val thy = Thm.theory_of_thm fth
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   341
     val {prop, tpairs, ...} = rep_thm fth
15495
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   342
 in
23178
07ba6b58b3d2 simplified/unified list fold;
wenzelm
parents: 22939
diff changeset
   343
   case List.foldr add_term_vars [] (prop :: Thm.terms_of_tpairs tpairs) of
15495
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   344
       [] => (fth, fn i => fn x => x)   (*No vars: nothing to do!*)
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
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   345
     | vars =>
19753
b345d4e70ca9 Tiny code cleanup
paulson
parents: 19730
diff changeset
   346
         let fun newName (Var(ix,_)) = (ix, gensym (string_of_indexname ix))
b345d4e70ca9 Tiny code cleanup
paulson
parents: 19730
diff changeset
   347
             val alist = map newName vars
15495
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   348
             fun mk_inst (Var(v,T)) =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   349
                 (cterm_of thy (Var(v,T)),
17325
d9d50222808e introduced new-style AList operations
haftmann
parents: 17203
diff changeset
   350
                  cterm_of thy (Free(((the o AList.lookup (op =) alist) v), T)))
15495
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   351
             val insts = map mk_inst vars
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   352
             fun thaw i th' = (*i is non-negative increment for Var indexes*)
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   353
                 th' |> forall_intr_list (map #2 insts)
22906
195b7515911a moved some operations to more_thm.ML and conv.ML;
wenzelm
parents: 22695
diff changeset
   354
                     |> forall_elim_list (map (Thm.incr_indexes_cterm i o #1) insts)
15495
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   355
         in  (Thm.instantiate ([],insts) fth, thaw)  end
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   356
 end;
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   357
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   358
(*Basic version of the function above. No option to rename Vars apart in thaw.
19999
9592df0c3176 added generalize;
wenzelm
parents: 19906
diff changeset
   359
  The Frees created from Vars have nice names. FIXME: does not check for
19753
b345d4e70ca9 Tiny code cleanup
paulson
parents: 19730
diff changeset
   360
  clashes with variables in the assumptions, so delete and use freeze_thaw_robust instead?*)
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   361
fun freeze_thaw th =
19878
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   362
 let val fth = Thm.freezeT th
26627
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   363
     val thy = Thm.theory_of_thm fth
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   364
     val {prop, tpairs, ...} = rep_thm fth
7248
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   365
 in
23178
07ba6b58b3d2 simplified/unified list fold;
wenzelm
parents: 22939
diff changeset
   366
   case List.foldr add_term_vars [] (prop :: Thm.terms_of_tpairs tpairs) of
7248
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   367
       [] => (fth, fn x => x)
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   368
     | vars =>
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   369
         let fun newName (Var(ix,_), (pairs,used)) =
20077
4fc9a4fef219 replaced Term.variant(list) by Name.variant(_list);
wenzelm
parents: 19999
diff changeset
   370
                   let val v = Name.variant used (string_of_indexname ix)
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   371
                   in  ((ix,v)::pairs, v::used)  end;
23178
07ba6b58b3d2 simplified/unified list fold;
wenzelm
parents: 22939
diff changeset
   372
             val (alist, _) = List.foldr newName ([], Library.foldr add_term_names
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   373
               (prop :: Thm.terms_of_tpairs tpairs, [])) vars
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   374
             fun mk_inst (Var(v,T)) =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   375
                 (cterm_of thy (Var(v,T)),
17325
d9d50222808e introduced new-style AList operations
haftmann
parents: 17203
diff changeset
   376
                  cterm_of thy (Free(((the o AList.lookup (op =) alist) v), T)))
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   377
             val insts = map mk_inst vars
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   378
             fun thaw th' =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   379
                 th' |> forall_intr_list (map #2 insts)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   380
                     |> forall_elim_list (map #1 insts)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   381
         in  (Thm.instantiate ([],insts) fth, thaw)  end
7248
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   382
 end;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   383
7248
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   384
(*Rotates a rule's premises to the left by k*)
23537
ecf487dce798 tuned rotate_prems;
wenzelm
parents: 23439
diff changeset
   385
fun rotate_prems 0 = I
ecf487dce798 tuned rotate_prems;
wenzelm
parents: 23439
diff changeset
   386
  | rotate_prems k = permute_prems 0 k;
ecf487dce798 tuned rotate_prems;
wenzelm
parents: 23439
diff changeset
   387
23423
b2d64f86d21b added with_subgoal;
wenzelm
parents: 23178
diff changeset
   388
fun with_subgoal i f = rotate_prems (i - 1) #> f #> rotate_prems (1 - i);
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   389
11163
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   390
(* permute prems, where the i-th position in the argument list (counting from 0)
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   391
   gives the position within the original thm to be transferred to position i.
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   392
   Any remaining trailing positions are left unchanged. *)
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   393
val rearrange_prems = let
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   394
  fun rearr new []      thm = thm
11815
ef7619398680 added implies_intr_goals;
wenzelm
parents: 11741
diff changeset
   395
  |   rearr new (p::ps) thm = rearr (new+1)
11163
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   396
     (map (fn q => if new<=q andalso q<p then q+1 else q) ps)
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   397
     (permute_prems (new+1) (new-p) (permute_prems new (p-new) thm))
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   398
  in rearr 0 end;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   399
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   400
(*Resolution: exactly one resolvent must be produced.*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   401
fun tha RSN (i,thb) =
19861
620d90091788 tuned Seq/Envir/Unify interfaces;
wenzelm
parents: 19842
diff changeset
   402
  case Seq.chop 2 (biresolution false [(false,tha)] i thb) of
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   403
      ([th],_) => th
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   404
    | ([],_)   => raise THM("RSN: no unifiers", i, [tha,thb])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   405
    |      _   => raise THM("RSN: multiple unifiers", i, [tha,thb]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   406
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   407
(*resolution: P==>Q, Q==>R gives P==>R. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   408
fun tha RS thb = tha RSN (1,thb);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   409
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   410
(*For joining lists of rules*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   411
fun thas RLN (i,thbs) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   412
  let val resolve = biresolution false (map (pair false) thas) i
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 4057
diff changeset
   413
      fun resb thb = Seq.list_of (resolve thb) handle THM _ => []
19482
9f11af8f7ef9 tuned basic list operators (flat, maps, map_filter);
wenzelm
parents: 19421
diff changeset
   414
  in maps resb thbs end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   415
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   416
fun thas RL thbs = thas RLN (1,thbs);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   417
11
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   418
(*Resolve a list of rules against bottom_rl from right to left;
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   419
  makes proof trees*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   420
fun rls MRS bottom_rl =
11
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   421
  let fun rs_aux i [] = bottom_rl
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   422
        | rs_aux i (rl::rls) = rl RSN (i, rs_aux (i+1) rls)
11
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   423
  in  rs_aux 1 rls  end;
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   424
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   425
(*As above, but for rule lists*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   426
fun rlss MRL bottom_rls =
11
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   427
  let fun rs_aux i [] = bottom_rls
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   428
        | rs_aux i (rls::rlss) = rls RLN (i, rs_aux (i+1) rlss)
11
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   429
  in  rs_aux 1 rlss  end;
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   430
9288
06a55195741b infix 'OF' is a version of 'MRS' with more appropriate argument order;
wenzelm
parents: 8605
diff changeset
   431
(*A version of MRS with more appropriate argument order*)
06a55195741b infix 'OF' is a version of 'MRS' with more appropriate argument order;
wenzelm
parents: 8605
diff changeset
   432
fun bottom_rl OF rls = rls MRS bottom_rl;
06a55195741b infix 'OF' is a version of 'MRS' with more appropriate argument order;
wenzelm
parents: 8605
diff changeset
   433
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   434
(*compose Q and [...,Qi,Q(i+1),...]==>R to [...,Q(i+1),...]==>R
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   435
  with no lifting or renaming!  Q may contain ==> or meta-quants
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   436
  ALWAYS deletes premise i *)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   437
fun compose(tha,i,thb) =
24426
d89e409cfe4e new derived rule: incr_type_indexes
paulson
parents: 24241
diff changeset
   438
    distinct Thm.eq_thm (Seq.list_of (bicompose false (false,tha,0) i thb));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   439
6946
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   440
fun compose_single (tha,i,thb) =
24426
d89e409cfe4e new derived rule: incr_type_indexes
paulson
parents: 24241
diff changeset
   441
  case compose (tha,i,thb) of
6946
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   442
    [th] => th
24426
d89e409cfe4e new derived rule: incr_type_indexes
paulson
parents: 24241
diff changeset
   443
  | _ => raise THM ("compose: unique result expected", i, [tha,thb]);
6946
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   444
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   445
(*compose Q and [Q1,Q2,...,Qk]==>R to [Q2,...,Qk]==>R getting unique result*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   446
fun tha COMP thb =
24426
d89e409cfe4e new derived rule: incr_type_indexes
paulson
parents: 24241
diff changeset
   447
    case compose(tha,1,thb) of
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   448
        [th] => th
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   449
      | _ =>   raise THM("COMP", 1, [tha,thb]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   450
13105
3d1e7a199bdc use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents: 12908
diff changeset
   451
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   452
(** theorem equality **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   453
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   454
(*Useful "distance" function for BEST_FIRST*)
16720
0c6c67e74391 Thm.full_prop_of;
wenzelm
parents: 16682
diff changeset
   455
val size_of_thm = size_of_term o Thm.full_prop_of;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   456
1194
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   457
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   458
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   459
(*** Meta-Rewriting Rules ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   460
26487
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   461
val read_prop = certify o SimpleSyntax.read_prop;
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   462
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   463
fun store_thm name th =
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   464
  Context.>>> (Context.map_theory_result (PureThy.store_thm (name, th)));
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   465
26487
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   466
fun store_thm_open name th =
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   467
  Context.>>> (Context.map_theory_result (PureThy.store_thm_open (name, th)));
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   468
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   469
fun store_standard_thm name th = store_thm name (standard th);
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   470
fun store_standard_thm_open name thm = store_thm_open name (standard' thm);
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   471
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   472
val reflexive_thm =
26487
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   473
  let val cx = certify (Var(("x",0),TVar(("'a",0),[])))
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   474
  in store_standard_thm_open "reflexive" (Thm.reflexive cx) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   475
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   476
val symmetric_thm =
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   477
  let val xy = read_prop "x::'a == y::'a"
16595
e64fb2cf50cb added implies_intr_hyps (from thm.ML);
wenzelm
parents: 16425
diff changeset
   478
  in store_standard_thm_open "symmetric" (Thm.implies_intr xy (Thm.symmetric (Thm.assume xy))) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   479
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   480
val transitive_thm =
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   481
  let val xy = read_prop "x::'a == y::'a"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   482
      val yz = read_prop "y::'a == z::'a"
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   483
      val xythm = Thm.assume xy and yzthm = Thm.assume yz
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   484
  in store_standard_thm_open "transitive" (Thm.implies_intr yz (Thm.transitive xythm yzthm)) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   485
4679
24917efb31b5 Reorganized simplifier. May now reorient rules.
nipkow
parents: 4610
diff changeset
   486
fun symmetric_fun thm = thm RS symmetric_thm;
24917efb31b5 Reorganized simplifier. May now reorient rules.
nipkow
parents: 4610
diff changeset
   487
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   488
fun extensional eq =
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   489
  let val eq' =
22906
195b7515911a moved some operations to more_thm.ML and conv.ML;
wenzelm
parents: 22695
diff changeset
   490
    abstract_rule "x" (Thm.dest_arg (fst (Thm.dest_equals (cprop_of eq)))) eq
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   491
  in equal_elim (eta_conversion (cprop_of eq')) eq' end;
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   492
18820
24dcd5b0e26b added equals_cong;
wenzelm
parents: 18799
diff changeset
   493
val equals_cong =
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   494
  store_standard_thm_open "equals_cong" (Thm.reflexive (read_prop "x::'a == y::'a"));
18820
24dcd5b0e26b added equals_cong;
wenzelm
parents: 18799
diff changeset
   495
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   496
val imp_cong =
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   497
  let
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   498
    val ABC = read_prop "A ==> B::prop == C::prop"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   499
    val AB = read_prop "A ==> B"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   500
    val AC = read_prop "A ==> C"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   501
    val A = read_prop "A"
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   502
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   503
    store_standard_thm_open "imp_cong" (implies_intr ABC (equal_intr
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   504
      (implies_intr AB (implies_intr A
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   505
        (equal_elim (implies_elim (assume ABC) (assume A))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   506
          (implies_elim (assume AB) (assume A)))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   507
      (implies_intr AC (implies_intr A
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   508
        (equal_elim (symmetric (implies_elim (assume ABC) (assume A)))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   509
          (implies_elim (assume AC) (assume A)))))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   510
  end;
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   511
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   512
val swap_prems_eq =
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   513
  let
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   514
    val ABC = read_prop "A ==> B ==> C"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   515
    val BAC = read_prop "B ==> A ==> C"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   516
    val A = read_prop "A"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   517
    val B = read_prop "B"
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   518
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   519
    store_standard_thm_open "swap_prems_eq" (equal_intr
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   520
      (implies_intr ABC (implies_intr B (implies_intr A
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   521
        (implies_elim (implies_elim (assume ABC) (assume A)) (assume B)))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   522
      (implies_intr BAC (implies_intr A (implies_intr B
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   523
        (implies_elim (implies_elim (assume BAC) (assume B)) (assume A))))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   524
  end;
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   525
22938
454f1678bf5f added fun/arg_cong_rule;
wenzelm
parents: 22906
diff changeset
   526
val imp_cong_rule = Thm.combination o Thm.combination (Thm.reflexive implies);
454f1678bf5f added fun/arg_cong_rule;
wenzelm
parents: 22906
diff changeset
   527
23537
ecf487dce798 tuned rotate_prems;
wenzelm
parents: 23439
diff changeset
   528
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
   529
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
   530
fun binop_cong_rule ct th1 th2 = Thm.combination (arg_cong_rule ct th1) th2;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   531
15001
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   532
local
22906
195b7515911a moved some operations to more_thm.ML and conv.ML;
wenzelm
parents: 22695
diff changeset
   533
  val dest_eq = Thm.dest_equals o cprop_of
15001
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   534
  val rhs_of = snd o dest_eq
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   535
in
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   536
fun beta_eta_conversion t =
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   537
  let val thm = beta_conversion true t
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   538
  in transitive thm (eta_conversion (rhs_of thm)) end
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   539
end;
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   540
15925
f13f4694c36d Added eta_long_conversion.
berghofe
parents: 15875
diff changeset
   541
fun eta_long_conversion ct = transitive (beta_eta_conversion ct)
f13f4694c36d Added eta_long_conversion.
berghofe
parents: 15875
diff changeset
   542
  (symmetric (beta_eta_conversion (cterm_fun (Pattern.eta_long []) ct)));
f13f4694c36d Added eta_long_conversion.
berghofe
parents: 15875
diff changeset
   543
20861
fd0e33caeb3b a few new functions on thms and cterms
paulson
parents: 20669
diff changeset
   544
(*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
   545
fun eta_contraction_rule th =
fd0e33caeb3b a few new functions on thms and cterms
paulson
parents: 20669
diff changeset
   546
  equal_elim (eta_conversion (cprop_of th)) th;
fd0e33caeb3b a few new functions on thms and cterms
paulson
parents: 20669
diff changeset
   547
24947
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   548
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   549
(* abs_def *)
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   550
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   551
(*
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   552
   f ?x1 ... ?xn == u
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   553
  --------------------
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   554
   f == %x1 ... xn. u
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   555
*)
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   556
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   557
local
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   558
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   559
fun contract_lhs th =
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   560
  Thm.transitive (Thm.symmetric (beta_eta_conversion
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   561
    (fst (Thm.dest_equals (cprop_of th))))) th;
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   562
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   563
fun var_args ct =
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   564
  (case try Thm.dest_comb ct of
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   565
    SOME (f, arg) =>
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   566
      (case Thm.term_of arg of
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   567
        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
   568
      | _ => [])
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   569
  | NONE => []);
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   570
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   571
in
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   572
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   573
fun abs_def th =
18337
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   574
  let
24947
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   575
    val th' = contract_lhs th;
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   576
    val args = var_args (Thm.lhs_of th');
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   577
  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
   578
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   579
end;
b7e990e1706a improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents: 24848
diff changeset
   580
18337
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   581
18468
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   582
15669
2b1f1902505d added add_used; include tpairs;
wenzelm
parents: 15574
diff changeset
   583
(*** Some useful meta-theorems ***)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   584
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   585
(*The rule V/V, obtains assumption solving for eresolve_tac*)
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   586
val asm_rl = store_standard_thm_open "asm_rl" (Thm.trivial (read_prop "?psi"));
7380
2bcee6a460d8 thm "_" = asm_rl;
wenzelm
parents: 7248
diff changeset
   587
val _ = store_thm "_" asm_rl;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   588
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   589
(*Meta-level cut rule: [| V==>W; V |] ==> W *)
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   590
val cut_rl =
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   591
  store_standard_thm_open "cut_rl"
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   592
    (Thm.trivial (read_prop "?psi ==> ?theta"));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   593
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   594
(*Generalized elim rule for one conclusion; cut_rl with reversed premises:
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   595
     [| PROP V;  PROP V ==> PROP W |] ==> PROP W *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   596
val revcut_rl =
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   597
  let val V = read_prop "V"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   598
      and VW = read_prop "V ==> W";
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   599
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   600
    store_standard_thm_open "revcut_rl"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   601
      (implies_intr V (implies_intr VW (implies_elim (assume VW) (assume V))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   602
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   603
668
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   604
(*for deleting an unwanted assumption*)
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   605
val thin_rl =
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   606
  let val V = read_prop "V"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   607
      and W = read_prop "W";
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   608
  in store_standard_thm_open "thin_rl" (implies_intr V (implies_intr W (assume W))) end;
668
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   609
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   610
(* (!!x. PROP ?V) == PROP ?V       Allows removal of redundant parameters*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   611
val triv_forall_equality =
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   612
  let val V  = read_prop "V"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   613
      and QV = read_prop "!!x::'a. V"
26487
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   614
      and x  = certify (Free ("x", Term.aT []));
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   615
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   616
    store_standard_thm_open "triv_forall_equality"
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   617
      (equal_intr (implies_intr QV (forall_elim x (assume QV)))
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   618
        (implies_intr V  (forall_intr x (assume V))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   619
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   620
19051
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   621
(* (PROP ?Phi ==> PROP ?Phi ==> PROP ?Psi) ==>
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   622
   (PROP ?Phi ==> PROP ?Psi)
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   623
*)
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   624
val distinct_prems_rl =
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   625
  let
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   626
    val AAB = read_prop "Phi ==> Phi ==> Psi"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   627
    val A = read_prop "Phi";
19051
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   628
  in
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   629
    store_standard_thm_open "distinct_prems_rl"
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   630
      (implies_intr_list [AAB, A] (implies_elim_list (assume AAB) [assume A, assume A]))
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   631
  end;
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   632
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   633
(* (PROP ?PhiA ==> PROP ?PhiB ==> PROP ?Psi) ==>
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   634
   (PROP ?PhiB ==> PROP ?PhiA ==> PROP ?Psi)
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   635
   `thm COMP swap_prems_rl' swaps the first two premises of `thm'
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   636
*)
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   637
val swap_prems_rl =
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   638
  let val cmajor = read_prop "PhiA ==> PhiB ==> Psi";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   639
      val major = assume cmajor;
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   640
      val cminor1 = read_prop "PhiA";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   641
      val minor1 = assume cminor1;
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   642
      val cminor2 = read_prop "PhiB";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   643
      val minor2 = assume cminor2;
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   644
  in store_standard_thm_open "swap_prems_rl"
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   645
       (implies_intr cmajor (implies_intr cminor2 (implies_intr cminor1
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   646
         (implies_elim (implies_elim major minor1) minor2))))
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   647
  end;
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   648
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   649
(* [| PROP ?phi ==> PROP ?psi; PROP ?psi ==> PROP ?phi |]
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   650
   ==> PROP ?phi == PROP ?psi
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   651
   Introduction rule for == as a meta-theorem.
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   652
*)
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   653
val equal_intr_rule =
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   654
  let val PQ = read_prop "phi ==> psi"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   655
      and QP = read_prop "psi ==> phi"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   656
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   657
    store_standard_thm_open "equal_intr_rule"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   658
      (implies_intr PQ (implies_intr QP (equal_intr (assume PQ) (assume QP))))
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   659
  end;
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   660
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   661
(* PROP ?phi == PROP ?psi ==> PROP ?phi ==> PROP ?psi *)
13368
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   662
val equal_elim_rule1 =
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   663
  let val eq = read_prop "phi::prop == psi::prop"
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   664
      and P = read_prop "phi"
13368
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   665
  in store_standard_thm_open "equal_elim_rule1"
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   666
    (Thm.equal_elim (assume eq) (assume P) |> implies_intr_list [eq, P])
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   667
  end;
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   668
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   669
(* PROP ?psi == PROP ?phi ==> PROP ?phi ==> PROP ?psi *)
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   670
val equal_elim_rule2 =
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   671
  store_standard_thm_open "equal_elim_rule2" (symmetric_thm RS equal_elim_rule1);
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   672
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   673
(* PROP ?phi ==> PROP ?phi ==> PROP ?psi ==> PROP ?psi *)
12297
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   674
val remdups_rl =
24241
424cb8b5e5b4 SimpleSyntax.read_prop;
wenzelm
parents: 24048
diff changeset
   675
  let val P = read_prop "phi" and Q = read_prop "psi";
12297
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   676
  in store_standard_thm_open "remdups_rl" (implies_intr_list [P, P, Q] (Thm.assume Q)) end;
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   677
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   678
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   679
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   680
(** embedded terms and types **)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   681
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   682
local
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   683
  val A = certify (Free ("A", propT));
28674
08a77c495dc1 renamed Thm.get_axiom_i to Thm.axiom;
wenzelm
parents: 28618
diff changeset
   684
  val axiom = Thm.unvarify o Thm.axiom (Context.the_theory (Context.the_thread_data ()));
08a77c495dc1 renamed Thm.get_axiom_i to Thm.axiom;
wenzelm
parents: 28618
diff changeset
   685
  val prop_def = axiom "Pure.prop_def";
08a77c495dc1 renamed Thm.get_axiom_i to Thm.axiom;
wenzelm
parents: 28618
diff changeset
   686
  val term_def = axiom "Pure.term_def";
08a77c495dc1 renamed Thm.get_axiom_i to Thm.axiom;
wenzelm
parents: 28618
diff changeset
   687
  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
   688
  val C = Thm.lhs_of sort_constraint_def;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   689
  val T = Thm.dest_arg C;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   690
  val CA = mk_implies (C, A);
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   691
in
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   692
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   693
(* protect *)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   694
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   695
val protect = Thm.capply (certify Logic.protectC);
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   696
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   697
val protectI = store_thm "protectI" (Thm.kind_rule Thm.internalK (standard
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   698
    (Thm.equal_elim (Thm.symmetric prop_def) (Thm.assume A))));
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   699
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   700
val protectD = store_thm "protectD" (Thm.kind_rule Thm.internalK (standard
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   701
    (Thm.equal_elim prop_def (Thm.assume (protect A)))));
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   702
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   703
val protect_cong = store_standard_thm_open "protect_cong" (Thm.reflexive (protect A));
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   704
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   705
fun implies_intr_protected asms th =
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   706
  let val asms' = map protect asms in
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   707
    implies_elim_list
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   708
      (implies_intr_list asms th)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   709
      (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
   710
    |> implies_intr_list asms'
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   711
  end;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   712
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   713
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   714
(* term *)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   715
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   716
val termI = store_thm "termI" (Thm.kind_rule Thm.internalK (standard
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   717
    (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
   718
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   719
fun mk_term ct =
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   720
  let
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   721
    val thy = Thm.theory_of_cterm ct;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   722
    val cert = Thm.cterm_of thy;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   723
    val certT = Thm.ctyp_of thy;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   724
    val T = Thm.typ_of (Thm.ctyp_of_term ct);
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   725
    val a = certT (TVar (("'a", 0), []));
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   726
    val x = cert (Var (("x", 0), T));
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   727
  in Thm.instantiate ([(a, certT T)], [(x, ct)]) termI end;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   728
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   729
fun dest_term th =
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   730
  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
   731
    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
   732
      Thm.dest_arg cprop
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   733
    else raise THM ("dest_term", 0, [th])
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   734
  end;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   735
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   736
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
   737
fun term_rule thy f t = Thm.term_of (cterm_rule f (Thm.cterm_of thy t));
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   738
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   739
val dummy_thm = mk_term (certify (Term.dummy_pattern propT));
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   740
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   741
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   742
(* sort_constraint *)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   743
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   744
val sort_constraintI = store_thm "sort_constraintI" (Thm.kind_rule Thm.internalK (standard
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   745
  (Thm.equal_elim (Thm.symmetric sort_constraint_def) (mk_term T))));
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   746
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   747
val sort_constraint_eq = store_thm "sort_constraint_eq" (Thm.kind_rule Thm.internalK (standard
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   748
  (Thm.equal_intr
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   749
    (Thm.implies_intr CA (Thm.implies_elim (Thm.assume CA) (Thm.unvarify sort_constraintI)))
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   750
    (implies_intr_list [A, C] (Thm.assume A)))));
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   751
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   752
end;
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   753
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   754
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   755
(* HHF normalization *)
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   756
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   757
(* (PROP ?phi ==> (!!x. PROP ?psi(x))) == (!!x. PROP ?phi ==> PROP ?psi(x)) *)
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   758
val norm_hhf_eq =
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   759
  let
14854
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14824
diff changeset
   760
    val aT = TFree ("'a", []);
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   761
    val all = Term.all aT;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   762
    val x = Free ("x", aT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   763
    val phi = Free ("phi", propT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   764
    val psi = Free ("psi", aT --> propT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   765
26487
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   766
    val cx = certify x;
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   767
    val cphi = certify phi;
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   768
    val lhs = certify (Logic.mk_implies (phi, all $ Abs ("x", aT, psi $ Bound 0)));
49850ac120e3 certify wrt. dynamic context;
wenzelm
parents: 26424
diff changeset
   769
    val rhs = certify (all $ Abs ("x", aT, Logic.mk_implies (phi, psi $ Bound 0)));
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   770
  in
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   771
    Thm.equal_intr
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   772
      (Thm.implies_elim (Thm.assume lhs) (Thm.assume cphi)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   773
        |> Thm.forall_elim cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   774
        |> Thm.implies_intr cphi
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   775
        |> Thm.forall_intr cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   776
        |> Thm.implies_intr lhs)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   777
      (Thm.implies_elim
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   778
          (Thm.assume rhs |> Thm.forall_elim cx) (Thm.assume cphi)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   779
        |> Thm.forall_intr cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   780
        |> Thm.implies_intr cphi
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   781
        |> Thm.implies_intr rhs)
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   782
    |> store_standard_thm_open "norm_hhf_eq"
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   783
  end;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   784
18179
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   785
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
   786
val norm_hhf_eqs = [norm_hhf_eq, sort_constraint_eq];
18179
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   787
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   788
fun is_norm_hhf tm =
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   789
  let
28618
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   790
    fun is_norm (Const ("Pure.sort_constraint", _)) = false
fa09f7b8ffca added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents: 27865
diff changeset
   791
      | is_norm (Const ("==>", _) $ _ $ (Const ("all", _) $ _)) = false
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   792
      | is_norm (t $ u) = is_norm t andalso is_norm u
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   793
      | is_norm (Abs (_, _, t)) = is_norm t
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   794
      | is_norm _ = true;
18929
d81435108688 Envir.(beta_)eta_contract;
wenzelm
parents: 18922
diff changeset
   795
  in is_norm (Envir.beta_eta_contract tm) end;
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   796
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   797
fun norm_hhf thy t =
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   798
  if is_norm_hhf t then t
18179
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   799
  else Pattern.rewrite_term thy [norm_hhf_prop] [] t;
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   800
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   801
fun norm_hhf_cterm ct =
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   802
  if is_norm_hhf (Thm.term_of ct) then ct
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   803
  else cterm_fun (Pattern.rewrite_term (Thm.theory_of_cterm ct) [norm_hhf_prop] []) ct;
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   804
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   805
21603
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   806
(* var indexes *)
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   807
24426
d89e409cfe4e new derived rule: incr_type_indexes
paulson
parents: 24241
diff changeset
   808
(*Increment the indexes of only the type variables*)
d89e409cfe4e new derived rule: incr_type_indexes
paulson
parents: 24241
diff changeset
   809
fun incr_type_indexes inc th =
d89e409cfe4e new derived rule: incr_type_indexes
paulson
parents: 24241
diff changeset
   810
  let val tvs = term_tvars (prop_of th)
d89e409cfe4e new derived rule: incr_type_indexes
paulson
parents: 24241
diff changeset
   811
      and thy = theory_of_thm th
d89e409cfe4e new derived rule: incr_type_indexes
paulson
parents: 24241
diff changeset
   812
      fun inc_tvar ((a,i),s) = pairself (ctyp_of thy) (TVar ((a,i),s), TVar ((a,i+inc),s))
d89e409cfe4e new derived rule: incr_type_indexes
paulson
parents: 24241
diff changeset
   813
  in Thm.instantiate (map inc_tvar tvs, []) th end;
d89e409cfe4e new derived rule: incr_type_indexes
paulson
parents: 24241
diff changeset
   814
21603
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   815
fun incr_indexes th = Thm.incr_indexes (Thm.maxidx_of th + 1);
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   816
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   817
fun incr_indexes2 th1 th2 =
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   818
  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
   819
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   820
fun th1 INCR_COMP th2 = incr_indexes th2 th1 COMP th2;
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   821
fun th1 COMP_INCR th2 = th1 COMP incr_indexes th1 th2;
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   822
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   823
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   824
(*** Instantiate theorem th, reading instantiations in theory thy ****)
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   825
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   826
(*Version that normalizes the result: Thm.instantiate no longer does that*)
21603
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   827
fun instantiate instpair th =
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   828
  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
   829
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   830
(*Left-to-right replacements: tpairs = [...,(vi,ti),...].
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   831
  Instantiates distinct Vars by terms, inferring type instantiations. *)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   832
local
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   833
  fun add_types ((ct,cu), (thy,tye,maxidx)) =
26627
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   834
    let
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   835
        val thyt = Thm.theory_of_cterm ct;
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   836
        val thyu = Thm.theory_of_cterm cu;
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   837
        val {t, T, maxidx = maxt, ...} = Thm.rep_cterm ct;
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   838
        val {t = u, T = U, maxidx = maxu, ...} = Thm.rep_cterm cu;
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   839
        val maxi = Int.max(maxidx, Int.max(maxt, maxu));
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   840
        val thy' = Theory.merge(thy, Theory.merge(thyt, thyu))
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   841
        val (tye',maxi') = Sign.typ_unify thy' (T, U) (tye, maxi)
25470
ba5a2bb7a81a Better error messages for cterm_instantiate.
berghofe
parents: 24978
diff changeset
   842
          handle Type.TUNIFY => raise TYPE ("Ill-typed instantiation:\nType\n" ^
26939
1035c89b4c02 moved global pretty/string_of functions from Sign to Syntax;
wenzelm
parents: 26653
diff changeset
   843
            Syntax.string_of_typ_global thy' (Envir.norm_type tye T) ^
25470
ba5a2bb7a81a Better error messages for cterm_instantiate.
berghofe
parents: 24978
diff changeset
   844
            "\nof variable " ^
26939
1035c89b4c02 moved global pretty/string_of functions from Sign to Syntax;
wenzelm
parents: 26653
diff changeset
   845
            Syntax.string_of_term_global thy' (Term.map_types (Envir.norm_type tye) t) ^
25470
ba5a2bb7a81a Better error messages for cterm_instantiate.
berghofe
parents: 24978
diff changeset
   846
            "\ncannot be unified with type\n" ^
26939
1035c89b4c02 moved global pretty/string_of functions from Sign to Syntax;
wenzelm
parents: 26653
diff changeset
   847
            Syntax.string_of_typ_global thy' (Envir.norm_type tye U) ^ "\nof term " ^
1035c89b4c02 moved global pretty/string_of functions from Sign to Syntax;
wenzelm
parents: 26653
diff changeset
   848
            Syntax.string_of_term_global thy' (Term.map_types (Envir.norm_type tye) u),
25470
ba5a2bb7a81a Better error messages for cterm_instantiate.
berghofe
parents: 24978
diff changeset
   849
            [T, U], [t, u])
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   850
    in  (thy', tye', maxi')  end;
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   851
in
22561
705d4fb9e628 optimizing the null instantiation case
paulson
parents: 22360
diff changeset
   852
fun cterm_instantiate [] th = th
705d4fb9e628 optimizing the null instantiation case
paulson
parents: 22360
diff changeset
   853
  | cterm_instantiate ctpairs0 th =
23178
07ba6b58b3d2 simplified/unified list fold;
wenzelm
parents: 22939
diff changeset
   854
  let val (thy,tye,_) = List.foldr add_types (Thm.theory_of_thm th, Vartab.empty, 0) ctpairs0
18179
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   855
      fun instT(ct,cu) =
22287
9985a79735c7 cterm_instantiate was calling a type instantiation function that works only for matching,
paulson
parents: 22109
diff changeset
   856
        let val inst = cterm_of thy o Term.map_types (Envir.norm_type tye) o term_of
14340
bc93ffa674cc correction to cterm_instantiate by Christoph Leuth
paulson
parents: 14081
diff changeset
   857
        in (inst ct, inst cu) end
22307
bb31094b4879 Completing the bug fix from the previous update: the result of unifying type
paulson
parents: 22287
diff changeset
   858
      fun ctyp2 (ixn, (S, T)) = (ctyp_of thy (TVar (ixn, S)), ctyp_of thy (Envir.norm_type tye T))
8406
a217b0cd304d Type.unify and Type.typ_match now use Vartab instead of association lists.
berghofe
parents: 8365
diff changeset
   859
  in  instantiate (map ctyp2 (Vartab.dest tye), map instT ctpairs0) th  end
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   860
  handle TERM _ =>
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   861
           raise THM("cterm_instantiate: incompatible theories",0,[th])
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   862
       | TYPE (msg, _, _) => raise THM(msg, 0, [th])
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   863
end;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   864
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   865
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   866
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   867
(** variations on instantiate **)
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   868
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   869
(* instantiate by left-to-right occurrence of variables *)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   870
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   871
fun instantiate' cTs cts thm =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   872
  let
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   873
    fun err msg =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   874
      raise TYPE ("instantiate': " ^ msg,
19482
9f11af8f7ef9 tuned basic list operators (flat, maps, map_filter);
wenzelm
parents: 19421
diff changeset
   875
        map_filter (Option.map Thm.typ_of) cTs,
9f11af8f7ef9 tuned basic list operators (flat, maps, map_filter);
wenzelm
parents: 19421
diff changeset
   876
        map_filter (Option.map Thm.term_of) cts);
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   877
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   878
    fun inst_of (v, ct) =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   879
      (Thm.cterm_of (Thm.theory_of_cterm ct) (Var v), ct)
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   880
        handle TYPE (msg, _, _) => err msg;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   881
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   882
    fun tyinst_of (v, cT) =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   883
      (Thm.ctyp_of (Thm.theory_of_ctyp cT) (TVar v), cT)
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   884
        handle TYPE (msg, _, _) => err msg;
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   885
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   886
    fun zip_vars xs ys =
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   887
      zip_options xs ys handle Library.UnequalLengths =>
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   888
        err "more instantiations than variables in thm";
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   889
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   890
    (*instantiate types first!*)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   891
    val thm' =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   892
      if forall is_none cTs then thm
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   893
      else Thm.instantiate
22695
17073e9b94f2 moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents: 22681
diff changeset
   894
        (map tyinst_of (zip_vars (rev (Thm.fold_terms Term.add_tvars thm [])) cTs), []) thm;
20579
4dc799edef89 Thm.dest_arg;
wenzelm
parents: 20509
diff changeset
   895
    val thm'' =
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   896
      if forall is_none cts then thm'
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   897
      else Thm.instantiate
22695
17073e9b94f2 moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents: 22681
diff changeset
   898
        ([], map inst_of (zip_vars (rev (Thm.fold_terms Term.add_vars thm' [])) cts)) thm';
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   899
    in thm'' end;
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   900
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   901
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   902
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   903
(** renaming of bound variables **)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   904
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   905
(* replace bound variables x_i in thm by y_i *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   906
(* where vs = [(x_1, y_1), ..., (x_n, y_n)]  *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   907
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   908
fun rename_bvars [] thm = thm
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   909
  | rename_bvars vs thm =
26627
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   910
      let
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   911
        val cert = Thm.cterm_of (Thm.theory_of_thm thm);
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   912
        fun ren (Abs (x, T, t)) = Abs (AList.lookup (op =) vs x |> the_default x, T, ren t)
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   913
          | ren (t $ u) = ren t $ ren u
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   914
          | ren t = t;
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   915
      in equal_elim (reflexive (cert (ren (Thm.prop_of thm)))) thm end;
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   916
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   917
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   918
(* renaming in left-to-right order *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   919
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   920
fun rename_bvars' xs thm =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   921
  let
26627
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   922
    val cert = Thm.cterm_of (Thm.theory_of_thm thm);
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   923
    val prop = Thm.prop_of thm;
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   924
    fun rename [] t = ([], t)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   925
      | rename (x' :: xs) (Abs (x, T, t)) =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   926
          let val (xs', t') = rename xs t
18929
d81435108688 Envir.(beta_)eta_contract;
wenzelm
parents: 18922
diff changeset
   927
          in (xs', Abs (the_default x x', T, t')) end
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   928
      | rename xs (t $ u) =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   929
          let
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   930
            val (xs', t') = rename xs t;
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   931
            val (xs'', u') = rename xs' u
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   932
          in (xs'', t' $ u') end
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   933
      | rename xs t = (xs, t);
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   934
  in case rename xs prop of
26627
dac6d56b7c8d rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26487
diff changeset
   935
      ([], prop') => equal_elim (reflexive (cert prop')) thm
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   936
    | _ => error "More names than abstractions in theorem"
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   937
  end;
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   938
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   939
11975
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   940
18225
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   941
(** multi_resolve **)
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   942
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   943
local
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   944
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   945
fun res th i rule =
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   946
  Thm.biresolution false [(false, th)] i rule handle THM _ => Seq.empty;
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   947
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   948
fun multi_res _ [] rule = Seq.single rule
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   949
  | multi_res i (th :: ths) rule = Seq.maps (res th i) (multi_res (i + 1) ths rule);
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   950
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   951
in
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   952
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   953
val multi_resolve = multi_res 1;
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   954
fun multi_resolves facts rules = Seq.maps (multi_resolve facts) (Seq.of_list rules);
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   955
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   956
end;
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   957
11975
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   958
end;
5903
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   959
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   960
structure BasicDrule: BASIC_DRULE = Drule;
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   961
open BasicDrule;