src/Pure/drule.ML
author wenzelm
Fri, 11 May 2007 18:47:08 +0200
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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 read_insts: theory -> (indexname -> typ option) * (indexname -> sort option) ->
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    (indexname -> typ option) * (indexname -> sort option) -> string list ->
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    (indexname * string) list -> (ctyp * ctyp) list * (cterm * cterm) list
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  val types_sorts: thm -> (indexname-> typ option) * (indexname-> sort option)
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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 forall_elim_var: int -> thm -> thm
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  val forall_elim_vars: int -> 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 read_instantiate_sg: theory -> (string*string)list -> thm -> thm
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  val read_instantiate: (string*string)list -> 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 add_used: thm -> string list -> string list
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  val flexflex_unique: thm -> thm
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  val close_derivation: 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 add_rule: thm -> thm list -> thm list
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  val del_rule: thm -> thm list -> thm list
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  val merge_rules: thm list * thm list -> thm list
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  val imp_cong_rule: thm -> thm -> thm
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  val fun_cong_rule: cterm -> thm -> thm
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  val arg_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 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 unvarify: thm -> thm
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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 sort_triv: theory -> typ * sort -> thm list
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  val unconstrainTs: thm -> thm
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  val rename_bvars: (string * string) list -> thm -> thm
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  val rename_bvars': string option list -> thm -> thm
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  val incr_indexes: thm -> thm -> thm
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  val incr_indexes2: thm -> thm -> thm -> thm
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  val 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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  val read_instantiate_sg': theory -> (indexname * string) list -> thm -> thm
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  val read_instantiate': (indexname * string) list -> 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 =
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  let val {t, thy, ...} = Thm.rep_cterm ct
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  in Thm.cterm_of thy (f t) end;
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fun ctyp_fun f cT =
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  let val {T, thy, ...} = Thm.rep_ctyp cT
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  in Thm.ctyp_of thy (f T) end;
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val cert = cterm_of ProtoPure.thy;
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val implies = cert Term.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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(** reading of instantiations **)
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fun absent ixn =
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  error("No such variable in term: " ^ Term.string_of_vname ixn);
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fun inst_failure ixn =
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  error("Instantiation of " ^ Term.string_of_vname ixn ^ " fails");
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fun read_insts thy (rtypes,rsorts) (types,sorts) used insts =
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2955ee2424ce Sign.typ_instance;
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let
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    fun is_tv ((a, _), _) =
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      (case Symbol.explode a of "'" :: _ => true | _ => false);
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    val (tvs, vs) = List.partition is_tv insts;
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    fun sort_of ixn = case rsorts ixn of SOME S => S | NONE => absent ixn;
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    fun readT (ixn, st) =
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        let val S = sort_of ixn;
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            val T = Sign.read_def_typ (thy,sorts) st;
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        in if Sign.typ_instance thy (T, TVar(ixn,S)) then (ixn,T)
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           else inst_failure ixn
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        end
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    val tye = map readT tvs;
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    fun mkty(ixn,st) = (case rtypes ixn of
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08c8dad8e399 Deleted Library.option type.
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                          SOME T => (ixn,(st,typ_subst_TVars tye T))
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                        | NONE => absent ixn);
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    val ixnsTs = map mkty vs;
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   225
    val ixns = map fst ixnsTs
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    and sTs  = map snd ixnsTs
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    val (cts,tye2) = Thm.read_def_cterms(thy,types,sorts) used false sTs;
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    fun mkcVar(ixn,T) =
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        let val U = typ_subst_TVars tye2 T
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        in cterm_of thy (Var(ixn,U)) end
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    val ixnTs = ListPair.zip(ixns, map snd sTs)
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in (map (fn (ixn, T) => (ctyp_of thy (TVar (ixn, sort_of ixn)),
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      ctyp_of thy T)) (tye2 @ tye),
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    ListPair.zip(map mkcVar ixnTs,cts))
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   235
end;
229
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   236
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
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diff changeset
   237
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
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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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   246
    val vars = Thm.fold_terms Term.add_vars thm [];
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   247
    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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   256
val add_used =
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17073e9b94f2 moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
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  (Thm.fold_terms o fold_types o fold_atyps)
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    (fn TFree (a, _) => insert (op =) a
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      | TVar ((a, _), _) => insert (op =) a
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      | _ => I);
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7636
102a4b6b83a6 strip_shyps_warning;
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9455
f23722b4fbe7 export has_internal;
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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 (("'a", 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 {prop, hyps, tpairs, thy,...} = rep_thm th;
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      val fixed = fold Term.add_frees (Thm.terms_of_tpairs tpairs @ hyps) [];
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   289
      val frees = Term.fold_aterms (fn Free v =>
8abecd308e60 forall_intr_list: do not ignore errors;
wenzelm
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diff changeset
   290
        if member (op =) fixed v then I else insert (op =) v | _ => I) prop [];
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wenzelm
parents: 19523
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   291
    in fold (forall_intr o cterm_of thy o Free) frees th end;
0
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clasohm
parents:
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   292
18535
84b0597808bb tuned forall_intr_vars;
wenzelm
parents: 18498
diff changeset
   293
(*Generalization over Vars -- canonical order*)
84b0597808bb tuned forall_intr_vars;
wenzelm
parents: 18498
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   294
fun forall_intr_vars th =
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   295
  fold forall_intr
22695
17073e9b94f2 moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents: 22681
diff changeset
   296
    (map (Thm.cterm_of (Thm.theory_of_thm th) o Var) (Thm.fold_terms Term.add_vars th [])) th;
18535
84b0597808bb tuned forall_intr_vars;
wenzelm
parents: 18498
diff changeset
   297
7898
d7e65a52acf9 forall_elim_var(s) moved to pure_thy.ML;
wenzelm
parents: 7636
diff changeset
   298
val forall_elim_var = PureThy.forall_elim_var;
d7e65a52acf9 forall_elim_var(s) moved to pure_thy.ML;
wenzelm
parents: 7636
diff changeset
   299
val forall_elim_vars = PureThy.forall_elim_vars;
0
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clasohm
parents:
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   300
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
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   301
fun outer_params t =
20077
4fc9a4fef219 replaced Term.variant(list) by Name.variant(_list);
wenzelm
parents: 19999
diff changeset
   302
  let val vs = Term.strip_all_vars t
4fc9a4fef219 replaced Term.variant(list) by Name.variant(_list);
wenzelm
parents: 19999
diff changeset
   303
  in Name.variant_list [] (map (Name.clean o #1) vs) ~~ map #2 vs end;
18025
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wenzelm
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diff changeset
   304
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   305
(*generalize outermost parameters*)
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   306
fun gen_all th =
12719
41e0d086f8b6 improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents: 12710
diff changeset
   307
  let
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   308
    val {thy, prop, maxidx, ...} = Thm.rep_thm th;
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   309
    val cert = Thm.cterm_of thy;
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wenzelm
parents: 17964
diff changeset
   310
    fun elim (x, T) = Thm.forall_elim (cert (Var ((x, maxidx + 1), T)));
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   311
  in fold elim (outer_params prop) th end;
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wenzelm
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   312
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   313
(*lift vars wrt. outermost goal parameters
18118
38316c575328 removed impose_hyps, satisfy_hyps;
wenzelm
parents: 18025
diff changeset
   314
  -- reverses the effect of gen_all modulo higher-order unification*)
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   315
fun lift_all goal th =
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   316
  let
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   317
    val thy = Theory.merge (Thm.theory_of_cterm goal, Thm.theory_of_thm th);
7dac6858168d added incr_indexes;
wenzelm
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diff changeset
   318
    val cert = Thm.cterm_of thy;
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   319
    val maxidx = Thm.maxidx_of th;
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   320
    val ps = outer_params (Thm.term_of goal)
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   321
      |> map (fn (x, T) => Var ((x, maxidx + 1), Logic.incr_tvar (maxidx + 1) T));
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   322
    val Ts = map Term.fastype_of ps;
22695
17073e9b94f2 moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents: 22681
diff changeset
   323
    val inst = Thm.fold_terms Term.add_vars th [] |> map (fn (xi, T) =>
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   324
      (cert (Var (xi, T)), cert (Term.list_comb (Var (xi, Ts ---> T), ps))));
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   325
  in
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   326
    th |> Thm.instantiate ([], inst)
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   327
    |> fold_rev (Thm.forall_intr o cert) ps
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   328
  end;
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   329
19999
9592df0c3176 added generalize;
wenzelm
parents: 19906
diff changeset
   330
(*direct generalization*)
9592df0c3176 added generalize;
wenzelm
parents: 19906
diff changeset
   331
fun generalize names th = Thm.generalize names (Thm.maxidx_of th + 1) th;
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   332
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   333
(*specialization over a list of cterms*)
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   334
val forall_elim_list = fold forall_elim;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   335
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   336
(*maps A1,...,An |- B  to  [| A1;...;An |] ==> B*)
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   337
val implies_intr_list = fold_rev implies_intr;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   338
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   339
(*maps [| A1;...;An |] ==> B and [A1,...,An]  to  B*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15545
diff changeset
   340
fun implies_elim_list impth ths = Library.foldl (uncurry implies_elim) (impth,ths);
0
a5a9c433f639 Initial revision
clasohm
parents:
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   341
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   342
(*Reset Var indexes to zero, renaming to preserve distinctness*)
21603
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   343
fun zero_var_indexes_list [] = []
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   344
  | zero_var_indexes_list ths =
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   345
      let
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   346
        val thy = Theory.merge_list (map Thm.theory_of_thm ths);
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   347
        val certT = Thm.ctyp_of thy and cert = Thm.cterm_of thy;
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   348
        val (instT, inst) = TermSubst.zero_var_indexes_inst (map Thm.full_prop_of ths);
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   349
        val cinstT = map (fn (v, T) => (certT (TVar v), certT T)) instT;
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   350
        val cinst = map (fn (v, t) => (cert (Var v), cert t)) inst;
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   351
      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
   352
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   353
val zero_var_indexes = singleton zero_var_indexes_list;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   354
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   355
14394
51b24127eef2 comments!!
paulson
parents: 14391
diff changeset
   356
(** Standard form of object-rule: no hypotheses, flexflex constraints,
51b24127eef2 comments!!
paulson
parents: 14391
diff changeset
   357
    Frees, or outer quantifiers; all generality expressed by Vars of index 0.**)
10515
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   358
16595
e64fb2cf50cb added implies_intr_hyps (from thm.ML);
wenzelm
parents: 16425
diff changeset
   359
(*Discharge all hypotheses.*)
e64fb2cf50cb added implies_intr_hyps (from thm.ML);
wenzelm
parents: 16425
diff changeset
   360
fun implies_intr_hyps th =
e64fb2cf50cb added implies_intr_hyps (from thm.ML);
wenzelm
parents: 16425
diff changeset
   361
  fold Thm.implies_intr (#hyps (Thm.crep_thm th)) th;
e64fb2cf50cb added implies_intr_hyps (from thm.ML);
wenzelm
parents: 16425
diff changeset
   362
14394
51b24127eef2 comments!!
paulson
parents: 14391
diff changeset
   363
(*Squash a theorem's flexflex constraints provided it can be done uniquely.
51b24127eef2 comments!!
paulson
parents: 14391
diff changeset
   364
  This step can lose information.*)
14387
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
diff changeset
   365
fun flexflex_unique th =
17713
7efbe0ec9d4c Optimized and exported flexflex_unique.
berghofe
parents: 17657
diff changeset
   366
  if null (tpairs_of th) then th else
19861
620d90091788 tuned Seq/Envir/Unify interfaces;
wenzelm
parents: 19842
diff changeset
   367
    case Seq.chop 2 (flexflex_rule th) of
14387
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
diff changeset
   368
      ([th],_) => th
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
diff changeset
   369
    | ([],_)   => raise THM("flexflex_unique: impossible constraints", 0, [th])
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
diff changeset
   370
    |      _   => raise THM("flexflex_unique: multiple unifiers", 0, [th]);
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
diff changeset
   371
10515
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   372
fun close_derivation thm =
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21603
diff changeset
   373
  if Thm.get_name thm = "" then Thm.put_name "" thm
10515
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   374
  else thm;
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   375
21603
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   376
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   377
(* legacy standard operations *)
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   378
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   379
val standard' =
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   380
  implies_intr_hyps
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   381
  #> forall_intr_frees
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   382
  #> `Thm.maxidx_of
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   383
  #-> (fn maxidx =>
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   384
    forall_elim_vars (maxidx + 1)
20904
363a9cba2953 added dest_equals_lhs;
wenzelm
parents: 20881
diff changeset
   385
    #> Thm.strip_shyps
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   386
    #> zero_var_indexes
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   387
    #> Thm.varifyT
21600
222810ce6b05 *** bad commit -- reverted to previous version ***
wenzelm
parents: 21596
diff changeset
   388
    #> Thm.compress);
1218
59ed8ef1a3a1 modified pretty_thm, standard, eq_thm to handle shyps;
wenzelm
parents: 1194
diff changeset
   389
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   390
val standard =
21600
222810ce6b05 *** bad commit -- reverted to previous version ***
wenzelm
parents: 21596
diff changeset
   391
  flexflex_unique
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   392
  #> standard'
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   393
  #> close_derivation;
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   394
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   395
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   396
(*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
   397
  reversing that operation.  DOES NOT WORK FOR TYPE VARIABLES.
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   398
  Similar code in type/freeze_thaw*)
15495
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   399
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   400
fun freeze_thaw_robust th =
19878
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   401
 let val fth = Thm.freezeT th
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   402
     val {prop, tpairs, thy, ...} = rep_thm fth
15495
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   403
 in
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   404
   case 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
   405
       [] => (fth, fn i => fn x => x)   (*No vars: nothing to do!*)
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   406
     | vars =>
19753
b345d4e70ca9 Tiny code cleanup
paulson
parents: 19730
diff changeset
   407
         let fun newName (Var(ix,_)) = (ix, gensym (string_of_indexname ix))
b345d4e70ca9 Tiny code cleanup
paulson
parents: 19730
diff changeset
   408
             val alist = map newName vars
15495
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   409
             fun mk_inst (Var(v,T)) =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   410
                 (cterm_of thy (Var(v,T)),
17325
d9d50222808e introduced new-style AList operations
haftmann
parents: 17203
diff changeset
   411
                  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
   412
             val insts = map mk_inst vars
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   413
             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
   414
                 th' |> forall_intr_list (map #2 insts)
22906
195b7515911a moved some operations to more_thm.ML and conv.ML;
wenzelm
parents: 22695
diff changeset
   415
                     |> 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
   416
         in  (Thm.instantiate ([],insts) fth, thaw)  end
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   417
 end;
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   418
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   419
(*Basic version of the function above. No option to rename Vars apart in thaw.
19999
9592df0c3176 added generalize;
wenzelm
parents: 19906
diff changeset
   420
  The Frees created from Vars have nice names. FIXME: does not check for
19753
b345d4e70ca9 Tiny code cleanup
paulson
parents: 19730
diff changeset
   421
  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
   422
fun freeze_thaw th =
19878
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   423
 let val fth = Thm.freezeT th
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   424
     val {prop, tpairs, thy, ...} = rep_thm fth
7248
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   425
 in
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   426
   case 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
   427
       [] => (fth, fn x => x)
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   428
     | vars =>
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   429
         let fun newName (Var(ix,_), (pairs,used)) =
20077
4fc9a4fef219 replaced Term.variant(list) by Name.variant(_list);
wenzelm
parents: 19999
diff changeset
   430
                   let val v = Name.variant used (string_of_indexname ix)
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   431
                   in  ((ix,v)::pairs, v::used)  end;
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   432
             val (alist, _) = foldr newName ([], Library.foldr add_term_names
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   433
               (prop :: Thm.terms_of_tpairs tpairs, [])) vars
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   434
             fun mk_inst (Var(v,T)) =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   435
                 (cterm_of thy (Var(v,T)),
17325
d9d50222808e introduced new-style AList operations
haftmann
parents: 17203
diff changeset
   436
                  cterm_of thy (Free(((the o AList.lookup (op =) alist) v), T)))
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   437
             val insts = map mk_inst vars
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   438
             fun thaw th' =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   439
                 th' |> forall_intr_list (map #2 insts)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   440
                     |> forall_elim_list (map #1 insts)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   441
         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
   442
 end;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   443
7248
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   444
(*Rotates a rule's premises to the left by k*)
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   445
val rotate_prems = permute_prems 0;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   446
11163
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   447
(* permute prems, where the i-th position in the argument list (counting from 0)
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   448
   gives the position within the original thm to be transferred to position i.
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   449
   Any remaining trailing positions are left unchanged. *)
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   450
val rearrange_prems = let
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   451
  fun rearr new []      thm = thm
11815
ef7619398680 added implies_intr_goals;
wenzelm
parents: 11741
diff changeset
   452
  |   rearr new (p::ps) thm = rearr (new+1)
11163
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   453
     (map (fn q => if new<=q andalso q<p then q+1 else q) ps)
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   454
     (permute_prems (new+1) (new-p) (permute_prems new (p-new) thm))
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   455
  in rearr 0 end;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   456
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   457
(*Resolution: exactly one resolvent must be produced.*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   458
fun tha RSN (i,thb) =
19861
620d90091788 tuned Seq/Envir/Unify interfaces;
wenzelm
parents: 19842
diff changeset
   459
  case Seq.chop 2 (biresolution false [(false,tha)] i thb) of
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   460
      ([th],_) => th
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   461
    | ([],_)   => raise THM("RSN: no unifiers", i, [tha,thb])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   462
    |      _   => raise THM("RSN: multiple unifiers", i, [tha,thb]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   463
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   464
(*resolution: P==>Q, Q==>R gives P==>R. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   465
fun tha RS thb = tha RSN (1,thb);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   466
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   467
(*For joining lists of rules*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   468
fun thas RLN (i,thbs) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   469
  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
   470
      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
   471
  in maps resb thbs end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   472
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   473
fun thas RL thbs = thas RLN (1,thbs);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   474
11
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   475
(*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
   476
  makes proof trees*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   477
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
   478
  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
   479
        | 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
   480
  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
   481
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   482
(*As above, but for rule lists*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   483
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
   484
  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
   485
        | 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
   486
  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
   487
9288
06a55195741b infix 'OF' is a version of 'MRS' with more appropriate argument order;
wenzelm
parents: 8605
diff changeset
   488
(*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
   489
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
   490
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   491
(*compose Q and [...,Qi,Q(i+1),...]==>R to [...,Q(i+1),...]==>R
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   492
  with no lifting or renaming!  Q may contain ==> or meta-quants
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   493
  ALWAYS deletes premise i *)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   494
fun compose(tha,i,thb) =
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 4057
diff changeset
   495
    Seq.list_of (bicompose false (false,tha,0) i thb);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   496
6946
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   497
fun compose_single (tha,i,thb) =
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   498
  (case compose (tha,i,thb) of
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   499
    [th] => th
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   500
  | _ => raise THM ("compose: unique result expected", i, [tha,thb]));
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   501
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   502
(*compose Q and [Q1,Q2,...,Qk]==>R to [Q2,...,Qk]==>R getting unique result*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   503
fun tha COMP thb =
22360
26ead7ed4f4b moved eq_thm etc. to structure Thm in Pure/more_thm.ML;
wenzelm
parents: 22310
diff changeset
   504
    case distinct Thm.eq_thm (compose(tha,1,thb)) of
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   505
        [th] => th
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   506
      | _ =>   raise THM("COMP", 1, [tha,thb]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   507
13105
3d1e7a199bdc use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents: 12908
diff changeset
   508
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   509
(** theorem equality **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   510
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   511
(*Useful "distance" function for BEST_FIRST*)
16720
0c6c67e74391 Thm.full_prop_of;
wenzelm
parents: 16682
diff changeset
   512
val size_of_thm = size_of_term o Thm.full_prop_of;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   513
9829
bf49c3796599 added add_rules, del_rules;
wenzelm
parents: 9554
diff changeset
   514
(*maintain lists of theorems --- preserving canonical order*)
22360
26ead7ed4f4b moved eq_thm etc. to structure Thm in Pure/more_thm.ML;
wenzelm
parents: 22310
diff changeset
   515
val del_rule = remove Thm.eq_thm_prop;
18922
b05a2952de73 removed add/del_rules;
wenzelm
parents: 18820
diff changeset
   516
fun add_rule th = cons th o del_rule th;
22360
26ead7ed4f4b moved eq_thm etc. to structure Thm in Pure/more_thm.ML;
wenzelm
parents: 22310
diff changeset
   517
val merge_rules = Library.merge Thm.eq_thm_prop;
9829
bf49c3796599 added add_rules, del_rules;
wenzelm
parents: 9554
diff changeset
   518
1194
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   519
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   520
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   521
(*** Meta-Rewriting Rules ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   522
22681
9d42e5365ad1 cleaned/simplified Sign.read_typ, Thm.read_cterm etc.;
wenzelm
parents: 22561
diff changeset
   523
fun read_prop s = Thm.read_cterm ProtoPure.thy (s, propT);
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   524
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   525
fun store_thm name thm = hd (PureThy.smart_store_thms (name, [thm]));
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   526
fun store_standard_thm name thm = store_thm name (standard thm);
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   527
fun store_thm_open name thm = hd (PureThy.smart_store_thms_open (name, [thm]));
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   528
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
   529
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   530
val reflexive_thm =
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   531
  let val cx = cert (Var(("x",0),TVar(("'a",0),[])))
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   532
  in store_standard_thm_open "reflexive" (Thm.reflexive cx) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   533
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   534
val symmetric_thm =
14854
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14824
diff changeset
   535
  let val xy = read_prop "x == y"
16595
e64fb2cf50cb added implies_intr_hyps (from thm.ML);
wenzelm
parents: 16425
diff changeset
   536
  in store_standard_thm_open "symmetric" (Thm.implies_intr xy (Thm.symmetric (Thm.assume xy))) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   537
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   538
val transitive_thm =
14854
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14824
diff changeset
   539
  let val xy = read_prop "x == y"
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14824
diff changeset
   540
      val yz = read_prop "y == z"
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   541
      val xythm = Thm.assume xy and yzthm = Thm.assume yz
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   542
  in store_standard_thm_open "transitive" (Thm.implies_intr yz (Thm.transitive xythm yzthm)) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   543
4679
24917efb31b5 Reorganized simplifier. May now reorient rules.
nipkow
parents: 4610
diff changeset
   544
fun symmetric_fun thm = thm RS symmetric_thm;
24917efb31b5 Reorganized simplifier. May now reorient rules.
nipkow
parents: 4610
diff changeset
   545
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   546
fun extensional eq =
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   547
  let val eq' =
22906
195b7515911a moved some operations to more_thm.ML and conv.ML;
wenzelm
parents: 22695
diff changeset
   548
    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
   549
  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
   550
18820
24dcd5b0e26b added equals_cong;
wenzelm
parents: 18799
diff changeset
   551
val equals_cong =
24dcd5b0e26b added equals_cong;
wenzelm
parents: 18799
diff changeset
   552
  store_standard_thm_open "equals_cong" (Thm.reflexive (read_prop "x == y"));
24dcd5b0e26b added equals_cong;
wenzelm
parents: 18799
diff changeset
   553
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   554
val imp_cong =
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   555
  let
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   556
    val ABC = read_prop "PROP A ==> PROP B == PROP C"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   557
    val AB = read_prop "PROP A ==> PROP B"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   558
    val AC = read_prop "PROP A ==> PROP C"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   559
    val A = read_prop "PROP A"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   560
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   561
    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
   562
      (implies_intr AB (implies_intr A
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   563
        (equal_elim (implies_elim (assume ABC) (assume A))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   564
          (implies_elim (assume AB) (assume A)))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   565
      (implies_intr AC (implies_intr A
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   566
        (equal_elim (symmetric (implies_elim (assume ABC) (assume A)))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   567
          (implies_elim (assume AC) (assume A)))))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   568
  end;
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   569
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   570
val swap_prems_eq =
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   571
  let
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   572
    val ABC = read_prop "PROP A ==> PROP B ==> PROP C"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   573
    val BAC = read_prop "PROP B ==> PROP A ==> PROP C"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   574
    val A = read_prop "PROP A"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   575
    val B = read_prop "PROP B"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   576
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   577
    store_standard_thm_open "swap_prems_eq" (equal_intr
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   578
      (implies_intr ABC (implies_intr B (implies_intr A
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   579
        (implies_elim (implies_elim (assume ABC) (assume A)) (assume B)))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   580
      (implies_intr BAC (implies_intr A (implies_intr B
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   581
        (implies_elim (implies_elim (assume BAC) (assume B)) (assume A))))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   582
  end;
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   583
22938
454f1678bf5f added fun/arg_cong_rule;
wenzelm
parents: 22906
diff changeset
   584
val imp_cong_rule = Thm.combination o Thm.combination (Thm.reflexive implies);
454f1678bf5f added fun/arg_cong_rule;
wenzelm
parents: 22906
diff changeset
   585
454f1678bf5f added fun/arg_cong_rule;
wenzelm
parents: 22906
diff changeset
   586
fun arg_cong_rule ct th = Thm.combination (Thm.reflexive ct) th;    (*AP_TERM*)
454f1678bf5f added fun/arg_cong_rule;
wenzelm
parents: 22906
diff changeset
   587
fun fun_cong_rule th ct = Thm.combination th (Thm.reflexive ct);    (*AP_THM*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   588
15001
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   589
local
22906
195b7515911a moved some operations to more_thm.ML and conv.ML;
wenzelm
parents: 22695
diff changeset
   590
  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
   591
  val rhs_of = snd o dest_eq
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   592
in
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   593
fun beta_eta_conversion t =
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   594
  let val thm = beta_conversion true t
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   595
  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
   596
end;
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   597
15925
f13f4694c36d Added eta_long_conversion.
berghofe
parents: 15875
diff changeset
   598
fun eta_long_conversion ct = transitive (beta_eta_conversion ct)
f13f4694c36d Added eta_long_conversion.
berghofe
parents: 15875
diff changeset
   599
  (symmetric (beta_eta_conversion (cterm_fun (Pattern.eta_long []) ct)));
f13f4694c36d Added eta_long_conversion.
berghofe
parents: 15875
diff changeset
   600
20861
fd0e33caeb3b a few new functions on thms and cterms
paulson
parents: 20669
diff changeset
   601
(*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
   602
fun eta_contraction_rule th =
fd0e33caeb3b a few new functions on thms and cterms
paulson
parents: 20669
diff changeset
   603
  equal_elim (eta_conversion (cprop_of th)) th;
fd0e33caeb3b a few new functions on thms and cterms
paulson
parents: 20669
diff changeset
   604
18337
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   605
val abs_def =
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   606
  let
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   607
    fun contract_lhs th =
22906
195b7515911a moved some operations to more_thm.ML and conv.ML;
wenzelm
parents: 22695
diff changeset
   608
      Thm.transitive (Thm.symmetric (beta_eta_conversion
195b7515911a moved some operations to more_thm.ML and conv.ML;
wenzelm
parents: 22695
diff changeset
   609
        (fst (Thm.dest_equals (cprop_of th))))) th;
18777
9d98d5705433 abs_def: improved error;
wenzelm
parents: 18732
diff changeset
   610
    fun abstract cx th = Thm.abstract_rule
9d98d5705433 abs_def: improved error;
wenzelm
parents: 18732
diff changeset
   611
        (case Thm.term_of cx of Var ((x, _), _) => x | Free (x, _) => x | _ => "x") cx th
9d98d5705433 abs_def: improved error;
wenzelm
parents: 18732
diff changeset
   612
      handle THM _ => raise THM ("Malformed definitional equation", 0, [th]);
18337
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   613
  in
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   614
    contract_lhs
22906
195b7515911a moved some operations to more_thm.ML and conv.ML;
wenzelm
parents: 22695
diff changeset
   615
    #> `(snd o strip_comb o fst o Thm.dest_equals o cprop_of)
18337
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   616
    #-> fold_rev abstract
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   617
    #> contract_lhs
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   618
  end;
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   619
18468
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   620
15669
2b1f1902505d added add_used; include tpairs;
wenzelm
parents: 15574
diff changeset
   621
(*** Some useful meta-theorems ***)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   622
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   623
(*The rule V/V, obtains assumption solving for eresolve_tac*)
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   624
val asm_rl = store_standard_thm_open "asm_rl" (Thm.trivial (read_prop "PROP ?psi"));
7380
2bcee6a460d8 thm "_" = asm_rl;
wenzelm
parents: 7248
diff changeset
   625
val _ = store_thm "_" asm_rl;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   626
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   627
(*Meta-level cut rule: [| V==>W; V |] ==> W *)
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   628
val cut_rl =
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   629
  store_standard_thm_open "cut_rl"
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   630
    (Thm.trivial (read_prop "PROP ?psi ==> PROP ?theta"));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   631
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   632
(*Generalized elim rule for one conclusion; cut_rl with reversed premises:
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   633
     [| PROP V;  PROP V ==> PROP W |] ==> PROP W *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   634
val revcut_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   635
  let val V = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   636
      and VW = read_prop "PROP V ==> PROP W";
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   637
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   638
    store_standard_thm_open "revcut_rl"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   639
      (implies_intr V (implies_intr VW (implies_elim (assume VW) (assume V))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   640
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   641
668
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   642
(*for deleting an unwanted assumption*)
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   643
val thin_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   644
  let val V = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   645
      and W = read_prop "PROP W";
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   646
  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
   647
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   648
(* (!!x. PROP ?V) == PROP ?V       Allows removal of redundant parameters*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   649
val triv_forall_equality =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   650
  let val V  = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   651
      and QV = read_prop "!!x::'a. PROP V"
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   652
      and x  = cert (Free ("x", Term.aT []));
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   653
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   654
    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
   655
      (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
   656
        (implies_intr V  (forall_intr x (assume V))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   657
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   658
19051
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   659
(* (PROP ?Phi ==> PROP ?Phi ==> PROP ?Psi) ==>
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   660
   (PROP ?Phi ==> PROP ?Psi)
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   661
*)
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   662
val distinct_prems_rl =
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   663
  let
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   664
    val AAB = read_prop "PROP Phi ==> PROP Phi ==> PROP Psi"
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   665
    val A = read_prop "PROP Phi";
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   666
  in
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   667
    store_standard_thm_open "distinct_prems_rl"
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   668
      (implies_intr_list [AAB, A] (implies_elim_list (assume AAB) [assume A, assume A]))
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   669
  end;
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   670
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   671
(* (PROP ?PhiA ==> PROP ?PhiB ==> PROP ?Psi) ==>
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   672
   (PROP ?PhiB ==> PROP ?PhiA ==> PROP ?Psi)
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   673
   `thm COMP swap_prems_rl' swaps the first two premises of `thm'
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   674
*)
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   675
val swap_prems_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   676
  let val cmajor = read_prop "PROP PhiA ==> PROP PhiB ==> PROP Psi";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   677
      val major = assume cmajor;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   678
      val cminor1 = read_prop "PROP PhiA";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   679
      val minor1 = assume cminor1;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   680
      val cminor2 = read_prop "PROP PhiB";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   681
      val minor2 = assume cminor2;
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   682
  in store_standard_thm_open "swap_prems_rl"
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   683
       (implies_intr cmajor (implies_intr cminor2 (implies_intr cminor1
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   684
         (implies_elim (implies_elim major minor1) minor2))))
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   685
  end;
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   686
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   687
(* [| PROP ?phi ==> PROP ?psi; PROP ?psi ==> PROP ?phi |]
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   688
   ==> PROP ?phi == PROP ?psi
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   689
   Introduction rule for == as a meta-theorem.
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   690
*)
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   691
val equal_intr_rule =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   692
  let val PQ = read_prop "PROP phi ==> PROP psi"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   693
      and QP = read_prop "PROP psi ==> PROP phi"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   694
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   695
    store_standard_thm_open "equal_intr_rule"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   696
      (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
   697
  end;
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   698
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   699
(* PROP ?phi == PROP ?psi ==> PROP ?phi ==> PROP ?psi *)
13368
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   700
val equal_elim_rule1 =
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   701
  let val eq = read_prop "PROP phi == PROP psi"
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   702
      and P = read_prop "PROP phi"
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   703
  in store_standard_thm_open "equal_elim_rule1"
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   704
    (Thm.equal_elim (assume eq) (assume P) |> implies_intr_list [eq, P])
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   705
  end;
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   706
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   707
(* PROP ?psi == PROP ?phi ==> PROP ?phi ==> PROP ?psi *)
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   708
val equal_elim_rule2 =
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   709
  store_standard_thm_open "equal_elim_rule2" (symmetric_thm RS equal_elim_rule1);
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   710
12297
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   711
(* "[| PROP ?phi; PROP ?phi; PROP ?psi |] ==> PROP ?psi" *)
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   712
val remdups_rl =
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   713
  let val P = read_prop "PROP phi" and Q = read_prop "PROP psi";
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   714
  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
   715
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   716
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   717
(*(PROP ?phi ==> (!!x. PROP ?psi(x))) == (!!x. PROP ?phi ==> PROP ?psi(x))
12297
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   718
  Rewrite rule for HHF normalization.*)
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   719
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   720
val norm_hhf_eq =
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   721
  let
14854
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14824
diff changeset
   722
    val aT = TFree ("'a", []);
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   723
    val all = Term.all aT;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   724
    val x = Free ("x", aT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   725
    val phi = Free ("phi", propT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   726
    val psi = Free ("psi", aT --> propT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   727
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   728
    val cx = cert x;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   729
    val cphi = cert phi;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   730
    val lhs = cert (Logic.mk_implies (phi, all $ Abs ("x", aT, psi $ Bound 0)));
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   731
    val rhs = cert (all $ Abs ("x", aT, Logic.mk_implies (phi, psi $ Bound 0)));
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   732
  in
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   733
    Thm.equal_intr
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   734
      (Thm.implies_elim (Thm.assume lhs) (Thm.assume cphi)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   735
        |> Thm.forall_elim cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   736
        |> Thm.implies_intr cphi
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   737
        |> Thm.forall_intr cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   738
        |> Thm.implies_intr lhs)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   739
      (Thm.implies_elim
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   740
          (Thm.assume rhs |> Thm.forall_elim cx) (Thm.assume cphi)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   741
        |> Thm.forall_intr cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   742
        |> Thm.implies_intr cphi
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   743
        |> Thm.implies_intr rhs)
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   744
    |> store_standard_thm_open "norm_hhf_eq"
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   745
  end;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   746
18179
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   747
val norm_hhf_prop = Logic.dest_equals (Thm.prop_of norm_hhf_eq);
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   748
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   749
fun is_norm_hhf tm =
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   750
  let
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   751
    fun is_norm (Const ("==>", _) $ _ $ (Const ("all", _) $ _)) = false
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   752
      | is_norm (t $ u) = is_norm t andalso is_norm u
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   753
      | is_norm (Abs (_, _, t)) = is_norm t
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   754
      | is_norm _ = true;
18929
d81435108688 Envir.(beta_)eta_contract;
wenzelm
parents: 18922
diff changeset
   755
  in is_norm (Envir.beta_eta_contract tm) end;
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   756
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   757
fun norm_hhf thy t =
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   758
  if is_norm_hhf t then t
18179
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   759
  else Pattern.rewrite_term thy [norm_hhf_prop] [] t;
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   760
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   761
fun norm_hhf_cterm ct =
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   762
  if is_norm_hhf (Thm.term_of ct) then ct
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   763
  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
   764
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   765
21603
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   766
(* var indexes *)
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   767
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   768
fun incr_indexes th = Thm.incr_indexes (Thm.maxidx_of th + 1);
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   769
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   770
fun incr_indexes2 th1 th2 =
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   771
  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
   772
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   773
fun th1 INCR_COMP th2 = incr_indexes th2 th1 COMP th2;
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   774
fun th1 COMP_INCR th2 = th1 COMP incr_indexes th1 th2;
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   775
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   776
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   777
(*** Instantiate theorem th, reading instantiations in theory thy ****)
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   778
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   779
(*Version that normalizes the result: Thm.instantiate no longer does that*)
21603
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   780
fun instantiate instpair th =
0fa36ea9aaf5 added zero_var_indexes_list;
wenzelm
parents: 21600
diff changeset
   781
  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
   782
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   783
fun read_instantiate_sg' thy sinsts th =
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   784
    let val ts = types_sorts th;
15669
2b1f1902505d added add_used; include tpairs;
wenzelm
parents: 15574
diff changeset
   785
        val used = add_used th [];
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   786
    in  instantiate (read_insts thy ts ts used sinsts) th  end;
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   787
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   788
fun read_instantiate_sg thy sinsts th =
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   789
  read_instantiate_sg' thy (map (apfst Syntax.read_indexname) sinsts) th;
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   790
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   791
(*Instantiate theorem th, reading instantiations under theory of th*)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   792
fun read_instantiate sinsts th =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   793
    read_instantiate_sg (Thm.theory_of_thm th) sinsts th;
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   794
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   795
fun read_instantiate' sinsts th =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   796
    read_instantiate_sg' (Thm.theory_of_thm th) sinsts th;
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   797
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   798
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   799
(*Left-to-right replacements: tpairs = [...,(vi,ti),...].
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   800
  Instantiates distinct Vars by terms, inferring type instantiations. *)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   801
local
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   802
  fun add_types ((ct,cu), (thy,tye,maxidx)) =
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   803
    let val {thy=thyt, t=t, T= T, maxidx=maxt,...} = rep_cterm ct
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   804
        and {thy=thyu, t=u, T= U, maxidx=maxu,...} = rep_cterm cu;
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   805
        val maxi = Int.max(maxidx, Int.max(maxt, maxu));
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   806
        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
   807
        val (tye',maxi') = Sign.typ_unify thy' (T, U) (tye, maxi)
10403
2955ee2424ce Sign.typ_instance;
wenzelm
parents: 9862
diff changeset
   808
          handle Type.TUNIFY => raise TYPE("Ill-typed instantiation", [T,U], [t,u])
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   809
    in  (thy', tye', maxi')  end;
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   810
in
22561
705d4fb9e628 optimizing the null instantiation case
paulson
parents: 22360
diff changeset
   811
fun cterm_instantiate [] th = th
705d4fb9e628 optimizing the null instantiation case
paulson
parents: 22360
diff changeset
   812
  | cterm_instantiate ctpairs0 th =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   813
  let val (thy,tye,_) = 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
   814
      fun instT(ct,cu) =
22287
9985a79735c7 cterm_instantiate was calling a type instantiation function that works only for matching,
paulson
parents: 22109
diff changeset
   815
        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
   816
        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
   817
      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
   818
  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
   819
  handle TERM _ =>
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   820
           raise THM("cterm_instantiate: incompatible theories",0,[th])
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   821
       | TYPE (msg, _, _) => raise THM(msg, 0, [th])
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   822
end;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   823
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   824
19878
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   825
(* global schematic variables *)
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   826
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   827
fun unvarify th =
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   828
  let
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   829
    val thy = Thm.theory_of_thm th;
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   830
    val cert = Thm.cterm_of thy;
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   831
    val certT = Thm.ctyp_of thy;
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   832
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   833
    val prop = Thm.full_prop_of th;
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   834
    val _ = map Logic.unvarify (prop :: Thm.hyps_of th)
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   835
      handle TERM (msg, _) => raise THM (msg, 0, [th]);
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   836
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   837
    val instT0 = rev (Term.add_tvars prop []) |> map (fn v as ((a, _), S) => (v, TFree (a, S)));
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   838
    val instT = map (fn (v, T) => (certT (TVar v), certT T)) instT0;
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   839
    val inst = rev (Term.add_vars prop []) |> map (fn ((a, i), T) =>
20509
073a5ed7dd71 moved term subst functions to TermSubst;
wenzelm
parents: 20329
diff changeset
   840
      let val T' = TermSubst.instantiateT instT0 T
19878
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   841
      in (cert (Var ((a, i), T')), cert (Free ((a, T')))) end);
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   842
  in Thm.instantiate (instT, inst) th end;
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   843
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   844
19775
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   845
(** protected propositions and embedded terms **)
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   846
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   847
local
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   848
  val A = cert (Free ("A", propT));
19878
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   849
  val prop_def = unvarify ProtoPure.prop_def;
51ae6677dd5f removed weak_eq_thm;
wenzelm
parents: 19861
diff changeset
   850
  val term_def = unvarify ProtoPure.term_def;
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   851
in
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   852
  val protect = Thm.capply (cert Logic.protectC);
21437
a3c55b85cf0e moved theorem kinds from PureThy to Thm;
wenzelm
parents: 20904
diff changeset
   853
  val protectI = store_thm "protectI" (PureThy.kind_rule Thm.internalK (standard
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   854
      (Thm.equal_elim (Thm.symmetric prop_def) (Thm.assume A))));
21437
a3c55b85cf0e moved theorem kinds from PureThy to Thm;
wenzelm
parents: 20904
diff changeset
   855
  val protectD = store_thm "protectD" (PureThy.kind_rule Thm.internalK (standard
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   856
      (Thm.equal_elim prop_def (Thm.assume (protect A)))));
18179
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   857
  val protect_cong = store_standard_thm_open "protect_cong" (Thm.reflexive (protect A));
19775
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   858
21437
a3c55b85cf0e moved theorem kinds from PureThy to Thm;
wenzelm
parents: 20904
diff changeset
   859
  val termI = store_thm "termI" (PureThy.kind_rule Thm.internalK (standard
19775
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   860
      (Thm.equal_elim (Thm.symmetric term_def) (Thm.forall_intr A (Thm.trivial A)))));
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   861
end;
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   862
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   863
fun implies_intr_protected asms th =
18118
38316c575328 removed impose_hyps, satisfy_hyps;
wenzelm
parents: 18025
diff changeset
   864
  let val asms' = map protect asms in
38316c575328 removed impose_hyps, satisfy_hyps;
wenzelm
parents: 18025
diff changeset
   865
    implies_elim_list
38316c575328 removed impose_hyps, satisfy_hyps;
wenzelm
parents: 18025
diff changeset
   866
      (implies_intr_list asms th)
38316c575328 removed impose_hyps, satisfy_hyps;
wenzelm
parents: 18025
diff changeset
   867
      (map (fn asm' => Thm.assume asm' RS protectD) asms')
38316c575328 removed impose_hyps, satisfy_hyps;
wenzelm
parents: 18025
diff changeset
   868
    |> implies_intr_list asms'
38316c575328 removed impose_hyps, satisfy_hyps;
wenzelm
parents: 18025
diff changeset
   869
  end;
11815
ef7619398680 added implies_intr_goals;
wenzelm
parents: 11741
diff changeset
   870
19775
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   871
fun mk_term ct =
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   872
  let
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   873
    val {thy, T, ...} = Thm.rep_cterm ct;
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   874
    val cert = Thm.cterm_of thy;
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   875
    val certT = Thm.ctyp_of thy;
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   876
    val a = certT (TVar (("'a", 0), []));
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   877
    val x = cert (Var (("x", 0), T));
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   878
  in Thm.instantiate ([(a, certT T)], [(x, ct)]) termI end;
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   879
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   880
fun dest_term th =
21566
af2932baf068 dest_term: strip_imp_concl;
wenzelm
parents: 21519
diff changeset
   881
  let val cprop = strip_imp_concl (Thm.cprop_of th) in
19775
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   882
    if can Logic.dest_term (Thm.term_of cprop) then
20579
4dc799edef89 Thm.dest_arg;
wenzelm
parents: 20509
diff changeset
   883
      Thm.dest_arg cprop
19775
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   884
    else raise THM ("dest_term", 0, [th])
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   885
  end;
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   886
21519
33f109ea389f added cterm_rule;
wenzelm
parents: 21437
diff changeset
   887
fun cterm_rule f = dest_term o f o mk_term;
33f109ea389f added cterm_rule;
wenzelm
parents: 21437
diff changeset
   888
fun term_rule thy f t = Thm.term_of (cterm_rule f (Thm.cterm_of thy t));
20881
54481abec257 added term_rule;
wenzelm
parents: 20861
diff changeset
   889
19775
06cb6743adf6 support embedded terms;
wenzelm
parents: 19753
diff changeset
   890
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   891
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   892
(** variations on instantiate **)
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   893
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   894
(* instantiate by left-to-right occurrence of variables *)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   895
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   896
fun instantiate' cTs cts thm =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   897
  let
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   898
    fun err msg =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   899
      raise TYPE ("instantiate': " ^ msg,
19482
9f11af8f7ef9 tuned basic list operators (flat, maps, map_filter);
wenzelm
parents: 19421
diff changeset
   900
        map_filter (Option.map Thm.typ_of) cTs,
9f11af8f7ef9 tuned basic list operators (flat, maps, map_filter);
wenzelm
parents: 19421
diff changeset
   901
        map_filter (Option.map Thm.term_of) cts);
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   902
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   903
    fun inst_of (v, ct) =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   904
      (Thm.cterm_of (Thm.theory_of_cterm ct) (Var v), ct)
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   905
        handle TYPE (msg, _, _) => err msg;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   906
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   907
    fun tyinst_of (v, cT) =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   908
      (Thm.ctyp_of (Thm.theory_of_ctyp cT) (TVar v), cT)
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   909
        handle TYPE (msg, _, _) => err msg;
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   910
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   911
    fun zip_vars xs ys =
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   912
      zip_options xs ys handle Library.UnequalLengths =>
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   913
        err "more instantiations than variables in thm";
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   914
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   915
    (*instantiate types first!*)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   916
    val thm' =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   917
      if forall is_none cTs then thm
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   918
      else Thm.instantiate
22695
17073e9b94f2 moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents: 22681
diff changeset
   919
        (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
   920
    val thm'' =
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   921
      if forall is_none cts then thm'
20298
6915973e88f3 removed obsolete frees/vars_of etc.;
wenzelm
parents: 20260
diff changeset
   922
      else Thm.instantiate
22695
17073e9b94f2 moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents: 22681
diff changeset
   923
        ([], 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
   924
    in thm'' end;
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   925
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   926
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   927
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   928
(** renaming of bound variables **)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   929
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   930
(* replace bound variables x_i in thm by y_i *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   931
(* where vs = [(x_1, y_1), ..., (x_n, y_n)]  *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   932
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   933
fun rename_bvars [] thm = thm
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   934
  | rename_bvars vs thm =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   935
    let
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   936
      val {thy, prop, ...} = rep_thm thm;
17325
d9d50222808e introduced new-style AList operations
haftmann
parents: 17203
diff changeset
   937
      fun ren (Abs (x, T, t)) = Abs (AList.lookup (op =) vs x |> the_default x, T, ren t)
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   938
        | ren (t $ u) = ren t $ ren u
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   939
        | ren t = t;
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   940
    in equal_elim (reflexive (cterm_of thy (ren prop))) thm end;
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   941
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   942
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   943
(* renaming in left-to-right order *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   944
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   945
fun rename_bvars' xs thm =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   946
  let
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   947
    val {thy, prop, ...} = rep_thm thm;
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   948
    fun rename [] t = ([], t)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   949
      | rename (x' :: xs) (Abs (x, T, t)) =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   950
          let val (xs', t') = rename xs t
18929
d81435108688 Envir.(beta_)eta_contract;
wenzelm
parents: 18922
diff changeset
   951
          in (xs', Abs (the_default x x', T, t')) end
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   952
      | rename xs (t $ u) =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   953
          let
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   954
            val (xs', t') = rename xs t;
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   955
            val (xs'', u') = rename xs' u
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   956
          in (xs'', t' $ u') end
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   957
      | rename xs t = (xs, t);
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   958
  in case rename xs prop of
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   959
      ([], prop') => equal_elim (reflexive (cterm_of thy prop')) thm
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   960
    | _ => error "More names than abstractions in theorem"
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   961
  end;
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   962
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   963
11975
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   964
18225
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   965
(** multi_resolve **)
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   966
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   967
local
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   968
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   969
fun res th i rule =
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   970
  Thm.biresolution false [(false, th)] i rule handle THM _ => Seq.empty;
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   971
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   972
fun multi_res _ [] rule = Seq.single rule
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   973
  | 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
   974
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   975
in
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   976
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   977
val multi_resolve = multi_res 1;
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   978
fun multi_resolves facts rules = Seq.maps (multi_resolve facts) (Seq.of_list rules);
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   979
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   980
end;
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
   981
11975
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   982
end;
5903
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   983
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   984
structure BasicDrule: BASIC_DRULE = Drule;
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   985
open BasicDrule;