src/Pure/drule.ML
author wenzelm
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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;
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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 dest_implies: cterm -> cterm * cterm
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  val dest_equals: cterm -> 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 strip_shyps_warning: thm -> thm
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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: 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 assume_ax: theory -> string -> 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 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 eq_thm_thy: thm * thm -> bool
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  val eq_thm_prop: thm * thm -> bool
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  val weak_eq_thm: thm * thm -> bool
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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 equal_abs_elim: cterm  -> thm -> thm
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  val equal_abs_elim_list: cterm list -> thm -> thm
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  val asm_rl: thm
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  val cut_rl: thm
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  val revcut_rl: thm
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  val thin_rl: thm
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  val 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 inst: string -> string -> thm -> 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 dest_binop: cterm -> cterm * cterm
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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 plain_prop_of: thm -> term
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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 local_standard: 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 beta_eta_conversion: cterm -> thm
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  val eta_long_conversion: cterm -> thm
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  val forall_conv: int -> (cterm -> thm) -> cterm -> thm
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  val concl_conv: int -> (cterm -> thm) -> cterm -> thm
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  val prems_conv: int -> (int -> cterm -> thm) -> cterm -> thm
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  val goals_conv: (int -> bool) -> (cterm -> thm) -> cterm -> thm
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  val fconv_rule: (cterm -> thm) -> 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 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 freeze_all: thm -> thm
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  val tvars_of_terms: term list -> (indexname * sort) list
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  val vars_of_terms: term list -> (indexname * typ) list
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  val tvars_of: thm -> (indexname * sort) list
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  val vars_of: thm -> (indexname * typ) list
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  val tfrees_of: thm -> (string * sort) list
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  val frees_of: thm -> (string * typ) list
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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 fold_terms: (term -> 'a -> 'a) -> thm -> 'a -> 'a
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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 unvarifyT: thm -> thm
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  val unvarify: thm -> thm
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  val tvars_intr_list: string list -> thm -> (string * (indexname * sort)) list * 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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4cb2f2422695 ProtoPure.thy;
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(** some cterm->cterm operations: faster than calling cterm_of! **)
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fun dest_binop ct =
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  let val (ct1, ct2) = Thm.dest_comb ct
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  in (#2 (Thm.dest_comb ct1), ct2) end;
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fun dest_implies ct =
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  (case Thm.term_of ct of
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    (Const ("==>", _) $ _ $ _) => dest_binop ct
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  | _ => raise TERM ("dest_implies", [term_of ct]));
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fun dest_equals ct =
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  (case Thm.term_of ct of
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    (Const ("==", _) $ _ $ _) => dest_binop ct
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    | _ => raise TERM ("dest_equals", [term_of ct]));
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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) = 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 term_of ct of (Const("==>", _) $ _ $ _) =>
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        strip_imp_concl (#2 (Thm.dest_comb 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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    #2 (Thm.dest_comb (cprop_of (Thm.beta_conversion false (Thm.capply x y))));
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fun plain_prop_of raw_thm =
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  let
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    val thm = Thm.strip_shyps raw_thm;
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    fun err msg = raise THM ("plain_prop_of: " ^ msg, 0, [thm]);
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    val {hyps, prop, tpairs, ...} = Thm.rep_thm thm;
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  in
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    if not (null hyps) then
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      err "theorem may not contain hypotheses"
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    else if not (null (Thm.extra_shyps thm)) then
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      err "theorem may not contain sort hypotheses"
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    else if not (null tpairs) then
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      err "theorem may not contain flex-flex pairs"
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    else prop
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  end;
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229
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(** reading of instantiations **)
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fun absent ixn =
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  error("No such variable in term: " ^ Syntax.string_of_vname ixn);
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fun inst_failure ixn =
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  error("Instantiation of " ^ Syntax.string_of_vname ixn ^ " fails");
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fun read_insts thy (rtypes,rsorts) (types,sorts) used insts =
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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_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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    val ixns = map fst ixnsTs
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    and sTs  = map snd ixnsTs
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    val (cts,tye2) = 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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end;
229
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4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
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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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a5a9c433f639 Initial revision
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fun types_sorts thm =
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   289
    let val {prop, hyps, tpairs, ...} = Thm.rep_thm thm;
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   290
        (* bogus term! *)
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cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
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   291
        val big = Term.list_comb
15949
fd02dd265b78 new cterm primitives
paulson
parents: 15925
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   292
                    (Term.list_comb (prop, hyps), Thm.terms_of_tpairs tpairs);
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   293
        val vars = map dest_Var (term_vars big);
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wenzelm
parents: 229
diff changeset
   294
        val frees = map dest_Free (term_frees big);
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wenzelm
parents: 229
diff changeset
   295
        val tvars = term_tvars big;
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wenzelm
parents: 229
diff changeset
   296
        val tfrees = term_tfrees big;
17325
d9d50222808e introduced new-style AList operations
haftmann
parents: 17203
diff changeset
   297
        fun typ(a,i) = if i<0 then AList.lookup (op =) frees a else AList.lookup (op =) vars (a,i);
d9d50222808e introduced new-style AList operations
haftmann
parents: 17203
diff changeset
   298
        fun sort(a,i) = if i<0 then AList.lookup (op =) tfrees a else AList.lookup (op =) tvars (a,i);
0
a5a9c433f639 Initial revision
clasohm
parents:
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   299
    in (typ,sort) end;
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clasohm
parents:
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   300
15669
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wenzelm
parents: 15574
diff changeset
   301
fun add_used thm used =
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wenzelm
parents: 15574
diff changeset
   302
  let val {prop, hyps, tpairs, ...} = Thm.rep_thm thm in
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wenzelm
parents: 15574
diff changeset
   303
    add_term_tvarnames (prop, used)
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wenzelm
parents: 15574
diff changeset
   304
    |> fold (curry add_term_tvarnames) hyps
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wenzelm
parents: 15574
diff changeset
   305
    |> fold (curry add_term_tvarnames) (Thm.terms_of_tpairs tpairs)
2b1f1902505d added add_used; include tpairs;
wenzelm
parents: 15574
diff changeset
   306
  end;
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wenzelm
parents: 15574
diff changeset
   307
7636
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   308
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   309
0
a5a9c433f639 Initial revision
clasohm
parents:
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   310
(** Standardization of rules **)
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clasohm
parents:
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   311
18025
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wenzelm
parents: 17964
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   312
(*vars in left-to-right order*)
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wenzelm
parents: 17964
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   313
fun tvars_of_terms ts = rev (fold Term.add_tvars ts []);
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   314
fun vars_of_terms ts = rev (fold Term.add_vars ts []);
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wenzelm
parents: 17964
diff changeset
   315
fun tvars_of thm = tvars_of_terms [Thm.full_prop_of thm];
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wenzelm
parents: 17964
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   316
fun vars_of thm = vars_of_terms [Thm.full_prop_of thm];
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wenzelm
parents: 17964
diff changeset
   317
18129
62adfb6a7060 added fold_terms;
wenzelm
parents: 18118
diff changeset
   318
fun fold_terms f th =
62adfb6a7060 added fold_terms;
wenzelm
parents: 18118
diff changeset
   319
  let val {hyps, tpairs, prop, ...} = Thm.rep_thm th
62adfb6a7060 added fold_terms;
wenzelm
parents: 18118
diff changeset
   320
  in f prop #> fold (fn (t, u) => f t #> f u) tpairs #> fold f hyps end;
62adfb6a7060 added fold_terms;
wenzelm
parents: 18118
diff changeset
   321
62adfb6a7060 added fold_terms;
wenzelm
parents: 18118
diff changeset
   322
fun tfrees_of th = rev (fold_terms Term.add_tfrees th []);
62adfb6a7060 added fold_terms;
wenzelm
parents: 18118
diff changeset
   323
fun frees_of th = rev (fold_terms Term.add_frees th []);
62adfb6a7060 added fold_terms;
wenzelm
parents: 18118
diff changeset
   324
19523
0531e5abf680 added sort_triv;
wenzelm
parents: 19504
diff changeset
   325
0531e5abf680 added sort_triv;
wenzelm
parents: 19504
diff changeset
   326
(* type classes and sorts *)
0531e5abf680 added sort_triv;
wenzelm
parents: 19504
diff changeset
   327
0531e5abf680 added sort_triv;
wenzelm
parents: 19504
diff changeset
   328
fun sort_triv thy (T, S) =
0531e5abf680 added sort_triv;
wenzelm
parents: 19504
diff changeset
   329
  let
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wenzelm
parents: 19504
diff changeset
   330
    val certT = Thm.ctyp_of thy;
0531e5abf680 added sort_triv;
wenzelm
parents: 19504
diff changeset
   331
    val cT = certT T;
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wenzelm
parents: 19504
diff changeset
   332
    fun class_triv c =
0531e5abf680 added sort_triv;
wenzelm
parents: 19504
diff changeset
   333
      Thm.class_triv thy c
0531e5abf680 added sort_triv;
wenzelm
parents: 19504
diff changeset
   334
      |> Thm.instantiate ([(certT (TVar (("'a", 0), [c])), cT)], []);
0531e5abf680 added sort_triv;
wenzelm
parents: 19504
diff changeset
   335
  in map class_triv S end;
0531e5abf680 added sort_triv;
wenzelm
parents: 19504
diff changeset
   336
19504
56541f86094a added unconstrainTs;
wenzelm
parents: 19482
diff changeset
   337
fun unconstrainTs th =
56541f86094a added unconstrainTs;
wenzelm
parents: 19482
diff changeset
   338
  fold_rev (Thm.unconstrainT o Thm.ctyp_of (Thm.theory_of_thm th) o TVar) (tvars_of th) th;
56541f86094a added unconstrainTs;
wenzelm
parents: 19482
diff changeset
   339
7636
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   340
fun strip_shyps_warning thm =
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   341
  let
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   342
    val str_of_sort = Pretty.str_of o Sign.pretty_sort (Thm.theory_of_thm thm);
7636
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   343
    val thm' = Thm.strip_shyps thm;
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   344
    val xshyps = Thm.extra_shyps thm';
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   345
  in
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   346
    if null xshyps then ()
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   347
    else warning ("Pending sort hypotheses: " ^ commas (map str_of_sort xshyps));
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   348
    thm'
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   349
  end;
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   350
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   351
(*Generalization over a list of variables, IGNORING bad ones*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   352
fun forall_intr_list [] th = th
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   353
  | forall_intr_list (y::ys) th =
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   354
        let val gth = forall_intr_list ys th
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   355
        in  forall_intr y gth   handle THM _ =>  gth  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   356
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   357
(*Generalization over all suitable Free variables*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   358
fun forall_intr_frees th =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   359
    let val {prop,thy,...} = rep_thm th
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   360
    in  forall_intr_list
16983
c895701d55ea replaced atless by term_ord;
wenzelm
parents: 16949
diff changeset
   361
         (map (cterm_of thy) (sort Term.term_ord (term_frees prop)))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   362
         th
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   363
    end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   364
18535
84b0597808bb tuned forall_intr_vars;
wenzelm
parents: 18498
diff changeset
   365
(*Generalization over Vars -- canonical order*)
84b0597808bb tuned forall_intr_vars;
wenzelm
parents: 18498
diff changeset
   366
fun forall_intr_vars th =
84b0597808bb tuned forall_intr_vars;
wenzelm
parents: 18498
diff changeset
   367
  let val cert = Thm.cterm_of (Thm.theory_of_thm th)
84b0597808bb tuned forall_intr_vars;
wenzelm
parents: 18498
diff changeset
   368
  in forall_intr_list (map (cert o Var) (vars_of th)) th end;
84b0597808bb tuned forall_intr_vars;
wenzelm
parents: 18498
diff changeset
   369
7898
d7e65a52acf9 forall_elim_var(s) moved to pure_thy.ML;
wenzelm
parents: 7636
diff changeset
   370
val forall_elim_var = PureThy.forall_elim_var;
d7e65a52acf9 forall_elim_var(s) moved to pure_thy.ML;
wenzelm
parents: 7636
diff changeset
   371
val forall_elim_vars = PureThy.forall_elim_vars;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   372
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   373
fun outer_params t =
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   374
  let
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   375
    val vs = Term.strip_all_vars t;
18375
99deeed095ae removed Syntax.deskolem;
wenzelm
parents: 18337
diff changeset
   376
    val xs = Term.variantlist (map (perhaps (try Syntax.dest_skolem) o #1) vs, []);
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   377
  in xs ~~ map #2 vs end;
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   378
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   379
(*generalize outermost parameters*)
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   380
fun gen_all th =
12719
41e0d086f8b6 improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents: 12710
diff changeset
   381
  let
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   382
    val {thy, prop, maxidx, ...} = Thm.rep_thm th;
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   383
    val cert = Thm.cterm_of thy;
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   384
    fun elim (x, T) = Thm.forall_elim (cert (Var ((x, maxidx + 1), T)));
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   385
  in fold elim (outer_params prop) th end;
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   386
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   387
(*lift vars wrt. outermost goal parameters
18118
38316c575328 removed impose_hyps, satisfy_hyps;
wenzelm
parents: 18025
diff changeset
   388
  -- reverses the effect of gen_all modulo higher-order unification*)
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   389
fun lift_all goal th =
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   390
  let
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   391
    val thy = Theory.merge (Thm.theory_of_cterm goal, Thm.theory_of_thm th);
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   392
    val cert = Thm.cterm_of thy;
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   393
    val maxidx = Thm.maxidx_of th;
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   394
    val ps = outer_params (Thm.term_of goal)
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   395
      |> map (fn (x, T) => Var ((x, maxidx + 1), Logic.incr_tvar (maxidx + 1) T));
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   396
    val Ts = map Term.fastype_of ps;
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   397
    val inst = vars_of th |> map (fn (xi, T) =>
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   398
      (cert (Var (xi, T)), cert (Term.list_comb (Var (xi, Ts ---> T), ps))));
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   399
  in
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   400
    th |> Thm.instantiate ([], inst)
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   401
    |> fold_rev (Thm.forall_intr o cert) ps
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   402
  end;
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   403
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   404
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   405
(*specialization over a list of cterms*)
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   406
val forall_elim_list = fold forall_elim;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   407
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   408
(*maps A1,...,An |- B  to  [| A1;...;An |] ==> B*)
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   409
val implies_intr_list = fold_rev implies_intr;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   410
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   411
(*maps [| A1;...;An |] ==> B and [A1,...,An]  to  B*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15545
diff changeset
   412
fun implies_elim_list impth ths = Library.foldl (uncurry implies_elim) (impth,ths);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   413
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   414
(*Reset Var indexes to zero, renaming to preserve distinctness*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   415
fun zero_var_indexes th =
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   416
  let
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   417
    val thy = Thm.theory_of_thm th;
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   418
    val certT = Thm.ctyp_of thy and cert = Thm.cterm_of thy;
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   419
    val (instT, inst) = Term.zero_var_indexes_inst (Thm.full_prop_of th);
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   420
    val cinstT = map (fn (v, T) => (certT (TVar v), certT T)) instT;
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   421
    val cinst = map (fn (v, t) => (cert (Var v), cert t)) inst;
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   422
  in Thm.adjust_maxidx_thm (Thm.instantiate (cinstT, cinst) th) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   423
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   424
14394
51b24127eef2 comments!!
paulson
parents: 14391
diff changeset
   425
(** Standard form of object-rule: no hypotheses, flexflex constraints,
51b24127eef2 comments!!
paulson
parents: 14391
diff changeset
   426
    Frees, or outer quantifiers; all generality expressed by Vars of index 0.**)
10515
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   427
16595
e64fb2cf50cb added implies_intr_hyps (from thm.ML);
wenzelm
parents: 16425
diff changeset
   428
(*Discharge all hypotheses.*)
e64fb2cf50cb added implies_intr_hyps (from thm.ML);
wenzelm
parents: 16425
diff changeset
   429
fun implies_intr_hyps th =
e64fb2cf50cb added implies_intr_hyps (from thm.ML);
wenzelm
parents: 16425
diff changeset
   430
  fold Thm.implies_intr (#hyps (Thm.crep_thm th)) th;
e64fb2cf50cb added implies_intr_hyps (from thm.ML);
wenzelm
parents: 16425
diff changeset
   431
14394
51b24127eef2 comments!!
paulson
parents: 14391
diff changeset
   432
(*Squash a theorem's flexflex constraints provided it can be done uniquely.
51b24127eef2 comments!!
paulson
parents: 14391
diff changeset
   433
  This step can lose information.*)
14387
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
diff changeset
   434
fun flexflex_unique th =
17713
7efbe0ec9d4c Optimized and exported flexflex_unique.
berghofe
parents: 17657
diff changeset
   435
  if null (tpairs_of th) then th else
14387
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
diff changeset
   436
    case Seq.chop (2, flexflex_rule th) of
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
diff changeset
   437
      ([th],_) => th
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
diff changeset
   438
    | ([],_)   => raise THM("flexflex_unique: impossible constraints", 0, [th])
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
diff changeset
   439
    |      _   => raise THM("flexflex_unique: multiple unifiers", 0, [th]);
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
diff changeset
   440
10515
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   441
fun close_derivation thm =
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   442
  if Thm.get_name_tags thm = ("", []) then Thm.name_thm ("", thm)
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   443
  else thm;
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   444
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   445
val standard' =
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   446
  implies_intr_hyps
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   447
  #> forall_intr_frees
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   448
  #> `Thm.maxidx_of
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   449
  #-> (fn maxidx =>
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   450
    forall_elim_vars (maxidx + 1)
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   451
    #> strip_shyps_warning
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   452
    #> zero_var_indexes
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   453
    #> Thm.varifyT
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   454
    #> Thm.compress);
1218
59ed8ef1a3a1 modified pretty_thm, standard, eq_thm to handle shyps;
wenzelm
parents: 1194
diff changeset
   455
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   456
val standard =
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   457
  flexflex_unique
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   458
  #> standard'
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   459
  #> close_derivation;
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   460
16949
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   461
val local_standard =
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   462
  strip_shyps
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   463
  #> zero_var_indexes
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   464
  #> Thm.compress
ea65d75e0ce1 tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents: 16861
diff changeset
   465
  #> close_derivation;
12005
291593391010 added local_standard;
wenzelm
parents: 11997
diff changeset
   466
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   467
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   468
(*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
   469
  reversing that operation.  DOES NOT WORK FOR TYPE VARIABLES.
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   470
  Similar code in type/freeze_thaw*)
15495
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   471
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   472
fun freeze_thaw_robust th =
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   473
 let val fth = freezeT th
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   474
     val {prop, tpairs, thy, ...} = rep_thm fth
15495
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   475
 in
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   476
   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
   477
       [] => (fth, fn i => fn x => x)   (*No vars: nothing to do!*)
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   478
     | vars =>
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   479
         let fun newName (Var(ix,_), pairs) =
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   480
                   let val v = gensym (string_of_indexname ix)
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   481
                   in  ((ix,v)::pairs)  end;
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   482
             val alist = foldr newName [] vars
15495
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   483
             fun mk_inst (Var(v,T)) =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   484
                 (cterm_of thy (Var(v,T)),
17325
d9d50222808e introduced new-style AList operations
haftmann
parents: 17203
diff changeset
   485
                  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
   486
             val insts = map mk_inst vars
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   487
             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
   488
                 th' |> forall_intr_list (map #2 insts)
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   489
                     |> forall_elim_list (map (Thm.cterm_incr_indexes i o #1) insts)
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   490
         in  (Thm.instantiate ([],insts) fth, thaw)  end
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   491
 end;
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   492
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   493
(*Basic version of the function above. No option to rename Vars apart in thaw.
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   494
  The Frees created from Vars have nice names.*)
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   495
fun freeze_thaw th =
7248
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   496
 let val fth = freezeT th
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   497
     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
   498
 in
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   499
   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
   500
       [] => (fth, fn x => x)
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   501
     | vars =>
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   502
         let fun newName (Var(ix,_), (pairs,used)) =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   503
                   let val v = variant used (string_of_indexname ix)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   504
                   in  ((ix,v)::pairs, v::used)  end;
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   505
             val (alist, _) = foldr newName ([], Library.foldr add_term_names
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   506
               (prop :: Thm.terms_of_tpairs tpairs, [])) vars
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   507
             fun mk_inst (Var(v,T)) =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   508
                 (cterm_of thy (Var(v,T)),
17325
d9d50222808e introduced new-style AList operations
haftmann
parents: 17203
diff changeset
   509
                  cterm_of thy (Free(((the o AList.lookup (op =) alist) v), T)))
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   510
             val insts = map mk_inst vars
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   511
             fun thaw th' =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   512
                 th' |> forall_intr_list (map #2 insts)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   513
                     |> forall_elim_list (map #1 insts)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   514
         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
   515
 end;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   516
7248
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   517
(*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
   518
val rotate_prems = permute_prems 0;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   519
11163
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   520
(* permute prems, where the i-th position in the argument list (counting from 0)
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   521
   gives the position within the original thm to be transferred to position i.
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   522
   Any remaining trailing positions are left unchanged. *)
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   523
val rearrange_prems = let
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   524
  fun rearr new []      thm = thm
11815
ef7619398680 added implies_intr_goals;
wenzelm
parents: 11741
diff changeset
   525
  |   rearr new (p::ps) thm = rearr (new+1)
11163
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   526
     (map (fn q => if new<=q andalso q<p then q+1 else q) ps)
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   527
     (permute_prems (new+1) (new-p) (permute_prems new (p-new) thm))
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   528
  in rearr 0 end;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   529
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   530
(*Assume a new formula, read following the same conventions as axioms.
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   531
  Generalizes over Free variables,
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   532
  creates the assumption, and then strips quantifiers.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   533
  Example is [| ALL x:?A. ?P(x) |] ==> [| ?P(?a) |]
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   534
             [ !(A,P,a)[| ALL x:A. P(x) |] ==> [| P(a) |] ]    *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   535
fun assume_ax thy sP =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   536
  let val prop = Logic.close_form (term_of (read_cterm thy (sP, propT)))
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   537
  in forall_elim_vars 0 (Thm.assume (cterm_of thy prop)) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   538
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   539
(*Resolution: exactly one resolvent must be produced.*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   540
fun tha RSN (i,thb) =
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 4057
diff changeset
   541
  case Seq.chop (2, biresolution false [(false,tha)] i thb) of
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   542
      ([th],_) => th
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   543
    | ([],_)   => raise THM("RSN: no unifiers", i, [tha,thb])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   544
    |      _   => raise THM("RSN: multiple unifiers", i, [tha,thb]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   545
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   546
(*resolution: P==>Q, Q==>R gives P==>R. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   547
fun tha RS thb = tha RSN (1,thb);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   548
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   549
(*For joining lists of rules*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   550
fun thas RLN (i,thbs) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   551
  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
   552
      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
   553
  in maps resb thbs end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   554
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   555
fun thas RL thbs = thas RLN (1,thbs);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   556
11
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   557
(*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
   558
  makes proof trees*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   559
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
   560
  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
   561
        | 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
   562
  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
   563
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   564
(*As above, but for rule lists*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   565
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
   566
  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
   567
        | 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
   568
  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
   569
9288
06a55195741b infix 'OF' is a version of 'MRS' with more appropriate argument order;
wenzelm
parents: 8605
diff changeset
   570
(*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
   571
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
   572
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   573
(*compose Q and [...,Qi,Q(i+1),...]==>R to [...,Q(i+1),...]==>R
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   574
  with no lifting or renaming!  Q may contain ==> or meta-quants
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   575
  ALWAYS deletes premise i *)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   576
fun compose(tha,i,thb) =
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 4057
diff changeset
   577
    Seq.list_of (bicompose false (false,tha,0) i thb);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   578
6946
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   579
fun compose_single (tha,i,thb) =
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   580
  (case compose (tha,i,thb) of
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   581
    [th] => th
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   582
  | _ => raise THM ("compose: unique result expected", i, [tha,thb]));
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   583
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   584
(*compose Q and [Q1,Q2,...,Qk]==>R to [Q2,...,Qk]==>R getting unique result*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   585
fun tha COMP thb =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   586
    case compose(tha,1,thb) of
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   587
        [th] => th
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   588
      | _ =>   raise THM("COMP", 1, [tha,thb]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   589
13105
3d1e7a199bdc use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents: 12908
diff changeset
   590
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   591
(** theorem equality **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   592
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   593
(*True if the two theorems have the same theory.*)
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   594
val eq_thm_thy = eq_thy o pairself Thm.theory_of_thm;
13650
31bd2a8cdbe2 fixing the cut_tac method to work when there are no instantiations and the
paulson
parents: 13606
diff changeset
   595
31bd2a8cdbe2 fixing the cut_tac method to work when there are no instantiations and the
paulson
parents: 13606
diff changeset
   596
(*True if the two theorems have the same prop field, ignoring hyps, der, etc.*)
16720
0c6c67e74391 Thm.full_prop_of;
wenzelm
parents: 16682
diff changeset
   597
val eq_thm_prop = op aconv o pairself Thm.full_prop_of;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   598
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   599
(*Useful "distance" function for BEST_FIRST*)
16720
0c6c67e74391 Thm.full_prop_of;
wenzelm
parents: 16682
diff changeset
   600
val size_of_thm = size_of_term o Thm.full_prop_of;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   601
9829
bf49c3796599 added add_rules, del_rules;
wenzelm
parents: 9554
diff changeset
   602
(*maintain lists of theorems --- preserving canonical order*)
18922
b05a2952de73 removed add/del_rules;
wenzelm
parents: 18820
diff changeset
   603
val del_rule = remove eq_thm_prop;
b05a2952de73 removed add/del_rules;
wenzelm
parents: 18820
diff changeset
   604
fun add_rule th = cons th o del_rule th;
b05a2952de73 removed add/del_rules;
wenzelm
parents: 18820
diff changeset
   605
val merge_rules = Library.merge eq_thm_prop;
9829
bf49c3796599 added add_rules, del_rules;
wenzelm
parents: 9554
diff changeset
   606
18535
84b0597808bb tuned forall_intr_vars;
wenzelm
parents: 18498
diff changeset
   607
(*weak_eq_thm: ignores variable renaming and (some) type variable renaming*)
13105
3d1e7a199bdc use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents: 12908
diff changeset
   608
val weak_eq_thm = Thm.eq_thm o pairself (forall_intr_vars o freezeT);
1194
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   609
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   610
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   611
(*** Meta-Rewriting Rules ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   612
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   613
fun read_prop s = read_cterm ProtoPure.thy (s, propT);
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   614
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   615
fun store_thm name thm = hd (PureThy.smart_store_thms (name, [thm]));
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   616
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
   617
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
   618
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
   619
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   620
val reflexive_thm =
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   621
  let val cx = cert (Var(("x",0),TVar(("'a",0),[])))
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   622
  in store_standard_thm_open "reflexive" (Thm.reflexive cx) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   623
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   624
val symmetric_thm =
14854
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14824
diff changeset
   625
  let val xy = read_prop "x == y"
16595
e64fb2cf50cb added implies_intr_hyps (from thm.ML);
wenzelm
parents: 16425
diff changeset
   626
  in store_standard_thm_open "symmetric" (Thm.implies_intr xy (Thm.symmetric (Thm.assume xy))) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   627
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   628
val transitive_thm =
14854
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14824
diff changeset
   629
  let val xy = read_prop "x == y"
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14824
diff changeset
   630
      val yz = read_prop "y == z"
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   631
      val xythm = Thm.assume xy and yzthm = Thm.assume yz
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   632
  in store_standard_thm_open "transitive" (Thm.implies_intr yz (Thm.transitive xythm yzthm)) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   633
4679
24917efb31b5 Reorganized simplifier. May now reorient rules.
nipkow
parents: 4610
diff changeset
   634
fun symmetric_fun thm = thm RS symmetric_thm;
24917efb31b5 Reorganized simplifier. May now reorient rules.
nipkow
parents: 4610
diff changeset
   635
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   636
fun extensional eq =
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   637
  let val eq' =
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   638
    abstract_rule "x" (snd (Thm.dest_comb (fst (dest_equals (cprop_of eq))))) eq
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   639
  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
   640
18820
24dcd5b0e26b added equals_cong;
wenzelm
parents: 18799
diff changeset
   641
val equals_cong =
24dcd5b0e26b added equals_cong;
wenzelm
parents: 18799
diff changeset
   642
  store_standard_thm_open "equals_cong" (Thm.reflexive (read_prop "x == y"));
24dcd5b0e26b added equals_cong;
wenzelm
parents: 18799
diff changeset
   643
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   644
val imp_cong =
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   645
  let
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   646
    val ABC = read_prop "PROP A ==> PROP B == PROP C"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   647
    val AB = read_prop "PROP A ==> PROP B"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   648
    val AC = read_prop "PROP A ==> PROP C"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   649
    val A = read_prop "PROP A"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   650
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   651
    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
   652
      (implies_intr AB (implies_intr A
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   653
        (equal_elim (implies_elim (assume ABC) (assume A))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   654
          (implies_elim (assume AB) (assume A)))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   655
      (implies_intr AC (implies_intr A
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   656
        (equal_elim (symmetric (implies_elim (assume ABC) (assume A)))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   657
          (implies_elim (assume AC) (assume A)))))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   658
  end;
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   659
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   660
val swap_prems_eq =
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   661
  let
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   662
    val ABC = read_prop "PROP A ==> PROP B ==> PROP C"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   663
    val BAC = read_prop "PROP B ==> PROP A ==> PROP C"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   664
    val A = read_prop "PROP A"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   665
    val B = read_prop "PROP B"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   666
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   667
    store_standard_thm_open "swap_prems_eq" (equal_intr
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   668
      (implies_intr ABC (implies_intr B (implies_intr A
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   669
        (implies_elim (implies_elim (assume ABC) (assume A)) (assume B)))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   670
      (implies_intr BAC (implies_intr A (implies_intr B
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   671
        (implies_elim (implies_elim (assume BAC) (assume B)) (assume A))))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   672
  end;
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   673
18468
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   674
val imp_cong_rule = combination o combination (reflexive implies);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   675
15001
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   676
local
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   677
  val dest_eq = dest_equals o cprop_of
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   678
  val rhs_of = snd o dest_eq
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   679
in
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   680
fun beta_eta_conversion t =
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   681
  let val thm = beta_conversion true t
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   682
  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
   683
end;
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   684
15925
f13f4694c36d Added eta_long_conversion.
berghofe
parents: 15875
diff changeset
   685
fun eta_long_conversion ct = transitive (beta_eta_conversion ct)
f13f4694c36d Added eta_long_conversion.
berghofe
parents: 15875
diff changeset
   686
  (symmetric (beta_eta_conversion (cterm_fun (Pattern.eta_long []) ct)));
f13f4694c36d Added eta_long_conversion.
berghofe
parents: 15875
diff changeset
   687
18337
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   688
val abs_def =
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   689
  let
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   690
    fun contract_lhs th =
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   691
      Thm.transitive (Thm.symmetric (beta_eta_conversion (fst (dest_equals (cprop_of th))))) th;
18777
9d98d5705433 abs_def: improved error;
wenzelm
parents: 18732
diff changeset
   692
    fun abstract cx th = Thm.abstract_rule
9d98d5705433 abs_def: improved error;
wenzelm
parents: 18732
diff changeset
   693
        (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
   694
      handle THM _ => raise THM ("Malformed definitional equation", 0, [th]);
18337
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   695
  in
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   696
    contract_lhs
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   697
    #> `(snd o strip_comb o fst o dest_equals o cprop_of)
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   698
    #-> fold_rev abstract
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   699
    #> contract_lhs
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   700
  end;
5d24dbd5e93d abs_def: beta/eta contract lhs;
wenzelm
parents: 18251
diff changeset
   701
18468
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   702
(*rewrite B in !!x1 ... xn. B*)
18251
552bbf45233e forall_conv: limit prefix;
wenzelm
parents: 18225
diff changeset
   703
fun forall_conv 0 cv ct = cv ct
552bbf45233e forall_conv: limit prefix;
wenzelm
parents: 18225
diff changeset
   704
  | forall_conv n cv ct =
18468
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   705
      (case try Thm.dest_comb ct of
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   706
        NONE => cv ct
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   707
      | SOME (A, B) =>
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   708
          (case (term_of A, term_of B) of
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   709
            (Const ("all", _), Abs (x, _, _)) =>
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   710
              let val (v, B') = Thm.dest_abs (SOME (gensym "all_")) B in
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   711
                Thm.combination (Thm.reflexive A)
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   712
                  (Thm.abstract_rule x v (forall_conv (n - 1) cv B'))
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   713
              end
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   714
          | _ => cv ct));
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   715
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   716
(*rewrite B in A1 ==> ... ==> An ==> B*)
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   717
fun concl_conv 0 cv ct = cv ct
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   718
  | concl_conv n cv ct =
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   719
      (case try dest_implies ct of
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   720
        NONE => cv ct
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   721
      | SOME (A, B) => imp_cong_rule (reflexive A) (concl_conv (n - 1) cv B));
15001
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   722
18468
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   723
(*rewrite the A's in A1 ==> ... ==> An ==> B*)
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   724
fun prems_conv 0 _ = reflexive
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   725
  | prems_conv n cv =
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   726
      let
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   727
        fun conv i ct =
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   728
          if i = n + 1 then reflexive ct
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   729
          else
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   730
            (case try dest_implies ct of
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   731
              NONE => reflexive ct
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   732
            | SOME (A, B) => imp_cong_rule (cv i A) (conv (i + 1) B));
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   733
  in conv 1 end;
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   734
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   735
fun goals_conv pred cv = prems_conv ~1 (fn i => if pred i then cv else reflexive);
15001
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   736
fun fconv_rule cv th = equal_elim (cv (cprop_of th)) th;
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   737
18468
43951ffb6304 fixed has_internal;
wenzelm
parents: 18375
diff changeset
   738
15669
2b1f1902505d added add_used; include tpairs;
wenzelm
parents: 15574
diff changeset
   739
(*** Some useful meta-theorems ***)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   740
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   741
(*The rule V/V, obtains assumption solving for eresolve_tac*)
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   742
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
   743
val _ = store_thm "_" asm_rl;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   744
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   745
(*Meta-level cut rule: [| V==>W; V |] ==> W *)
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   746
val cut_rl =
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   747
  store_standard_thm_open "cut_rl"
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   748
    (Thm.trivial (read_prop "PROP ?psi ==> PROP ?theta"));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   749
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   750
(*Generalized elim rule for one conclusion; cut_rl with reversed premises:
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   751
     [| PROP V;  PROP V ==> PROP W |] ==> PROP W *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   752
val revcut_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   753
  let val V = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   754
      and VW = read_prop "PROP V ==> PROP W";
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   755
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   756
    store_standard_thm_open "revcut_rl"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   757
      (implies_intr V (implies_intr VW (implies_elim (assume VW) (assume V))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   758
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   759
668
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   760
(*for deleting an unwanted assumption*)
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   761
val thin_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   762
  let val V = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   763
      and W = read_prop "PROP W";
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   764
  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
   765
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   766
(* (!!x. PROP ?V) == PROP ?V       Allows removal of redundant parameters*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   767
val triv_forall_equality =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   768
  let val V  = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   769
      and QV = read_prop "!!x::'a. PROP V"
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   770
      and x  = cert (Free ("x", Term.aT []));
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   771
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   772
    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
   773
      (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
   774
        (implies_intr V  (forall_intr x (assume V))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   775
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   776
19051
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   777
(* (PROP ?Phi ==> PROP ?Phi ==> PROP ?Psi) ==>
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   778
   (PROP ?Phi ==> PROP ?Psi)
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   779
*)
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   780
val distinct_prems_rl =
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   781
  let
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   782
    val AAB = read_prop "PROP Phi ==> PROP Phi ==> PROP Psi"
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   783
    val A = read_prop "PROP Phi";
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   784
  in
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   785
    store_standard_thm_open "distinct_prems_rl"
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   786
      (implies_intr_list [AAB, A] (implies_elim_list (assume AAB) [assume A, assume A]))
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   787
  end;
5212516f1a98 added distinct_prems_rl;
wenzelm
parents: 18929
diff changeset
   788
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   789
(* (PROP ?PhiA ==> PROP ?PhiB ==> PROP ?Psi) ==>
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   790
   (PROP ?PhiB ==> PROP ?PhiA ==> PROP ?Psi)
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   791
   `thm COMP swap_prems_rl' swaps the first two premises of `thm'
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   792
*)
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   793
val swap_prems_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   794
  let val cmajor = read_prop "PROP PhiA ==> PROP PhiB ==> PROP Psi";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   795
      val major = assume cmajor;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   796
      val cminor1 = read_prop "PROP PhiA";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   797
      val minor1 = assume cminor1;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   798
      val cminor2 = read_prop "PROP PhiB";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   799
      val minor2 = assume cminor2;
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   800
  in store_standard_thm_open "swap_prems_rl"
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   801
       (implies_intr cmajor (implies_intr cminor2 (implies_intr cminor1
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   802
         (implies_elim (implies_elim major minor1) minor2))))
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   803
  end;
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   804
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   805
(* [| PROP ?phi ==> PROP ?psi; PROP ?psi ==> PROP ?phi |]
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   806
   ==> PROP ?phi == PROP ?psi
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   807
   Introduction rule for == as a meta-theorem.
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   808
*)
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   809
val equal_intr_rule =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   810
  let val PQ = read_prop "PROP phi ==> PROP psi"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   811
      and QP = read_prop "PROP psi ==> PROP phi"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   812
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   813
    store_standard_thm_open "equal_intr_rule"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   814
      (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
   815
  end;
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   816
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   817
(* PROP ?phi == PROP ?psi ==> PROP ?phi ==> PROP ?psi *)
13368
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   818
val equal_elim_rule1 =
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   819
  let val eq = read_prop "PROP phi == PROP psi"
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   820
      and P = read_prop "PROP phi"
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   821
  in store_standard_thm_open "equal_elim_rule1"
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   822
    (Thm.equal_elim (assume eq) (assume P) |> implies_intr_list [eq, P])
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   823
  end;
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   824
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   825
(* PROP ?psi == PROP ?phi ==> PROP ?phi ==> PROP ?psi *)
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   826
val equal_elim_rule2 =
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   827
  store_standard_thm_open "equal_elim_rule2" (symmetric_thm RS equal_elim_rule1);
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   828
12297
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   829
(* "[| PROP ?phi; PROP ?phi; PROP ?psi |] ==> PROP ?psi" *)
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   830
val remdups_rl =
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   831
  let val P = read_prop "PROP phi" and Q = read_prop "PROP psi";
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   832
  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
   833
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   834
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   835
(*(PROP ?phi ==> (!!x. PROP ?psi(x))) == (!!x. PROP ?phi ==> PROP ?psi(x))
12297
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   836
  Rewrite rule for HHF normalization.*)
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   837
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   838
val norm_hhf_eq =
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   839
  let
14854
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14824
diff changeset
   840
    val aT = TFree ("'a", []);
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   841
    val all = Term.all aT;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   842
    val x = Free ("x", aT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   843
    val phi = Free ("phi", propT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   844
    val psi = Free ("psi", aT --> propT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   845
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   846
    val cx = cert x;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   847
    val cphi = cert phi;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   848
    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
   849
    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
   850
  in
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   851
    Thm.equal_intr
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   852
      (Thm.implies_elim (Thm.assume lhs) (Thm.assume cphi)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   853
        |> Thm.forall_elim cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   854
        |> Thm.implies_intr cphi
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   855
        |> Thm.forall_intr cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   856
        |> Thm.implies_intr lhs)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   857
      (Thm.implies_elim
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   858
          (Thm.assume rhs |> Thm.forall_elim cx) (Thm.assume cphi)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   859
        |> Thm.forall_intr cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   860
        |> Thm.implies_intr cphi
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   861
        |> Thm.implies_intr rhs)
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   862
    |> store_standard_thm_open "norm_hhf_eq"
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   863
  end;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   864
18179
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   865
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
   866
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   867
fun is_norm_hhf tm =
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   868
  let
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   869
    fun is_norm (Const ("==>", _) $ _ $ (Const ("all", _) $ _)) = false
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   870
      | is_norm (t $ u) = is_norm t andalso is_norm u
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   871
      | is_norm (Abs (_, _, t)) = is_norm t
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   872
      | is_norm _ = true;
18929
d81435108688 Envir.(beta_)eta_contract;
wenzelm
parents: 18922
diff changeset
   873
  in is_norm (Envir.beta_eta_contract tm) end;
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   874
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   875
fun norm_hhf thy t =
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   876
  if is_norm_hhf t then t
18179
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   877
  else Pattern.rewrite_term thy [norm_hhf_prop] [] t;
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   878
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   879
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   880
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   881
(*** Instantiate theorem th, reading instantiations in theory thy ****)
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   882
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   883
(*Version that normalizes the result: Thm.instantiate no longer does that*)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   884
fun instantiate instpair th = Thm.instantiate instpair th  COMP   asm_rl;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   885
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   886
fun read_instantiate_sg' thy sinsts th =
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   887
    let val ts = types_sorts th;
15669
2b1f1902505d added add_used; include tpairs;
wenzelm
parents: 15574
diff changeset
   888
        val used = add_used th [];
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   889
    in  instantiate (read_insts thy ts ts used sinsts) th  end;
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   890
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   891
fun read_instantiate_sg thy sinsts th =
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   892
  read_instantiate_sg' thy (map (apfst Syntax.indexname) sinsts) th;
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   893
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   894
(*Instantiate theorem th, reading instantiations under theory of th*)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   895
fun read_instantiate sinsts th =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   896
    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
   897
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   898
fun read_instantiate' sinsts th =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   899
    read_instantiate_sg' (Thm.theory_of_thm th) sinsts th;
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   900
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   901
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   902
(*Left-to-right replacements: tpairs = [...,(vi,ti),...].
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   903
  Instantiates distinct Vars by terms, inferring type instantiations. *)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   904
local
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   905
  fun add_types ((ct,cu), (thy,tye,maxidx)) =
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   906
    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
   907
        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
   908
        val maxi = Int.max(maxidx, Int.max(maxt, maxu));
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   909
        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
   910
        val (tye',maxi') = Sign.typ_unify thy' (T, U) (tye, maxi)
10403
2955ee2424ce Sign.typ_instance;
wenzelm
parents: 9862
diff changeset
   911
          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
   912
    in  (thy', tye', maxi')  end;
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   913
in
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   914
fun cterm_instantiate ctpairs0 th =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   915
  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
   916
      fun instT(ct,cu) =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   917
        let val inst = cterm_of thy o Envir.subst_TVars tye o term_of
14340
bc93ffa674cc correction to cterm_instantiate by Christoph Leuth
paulson
parents: 14081
diff changeset
   918
        in (inst ct, inst cu) end
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   919
      fun ctyp2 (ixn, (S, T)) = (ctyp_of thy (TVar (ixn, S)), ctyp_of thy T)
8406
a217b0cd304d Type.unify and Type.typ_match now use Vartab instead of association lists.
berghofe
parents: 8365
diff changeset
   920
  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
   921
  handle TERM _ =>
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   922
           raise THM("cterm_instantiate: incompatible theories",0,[th])
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   923
       | TYPE (msg, _, _) => raise THM(msg, 0, [th])
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   924
end;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   925
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   926
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   927
(** Derived rules mainly for METAHYPS **)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   928
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   929
(*Given the term "a", takes (%x.t)==(%x.u) to t[a/x]==u[a/x]*)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   930
fun equal_abs_elim ca eqth =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   931
  let val {thy=thya, t=a, ...} = rep_cterm ca
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   932
      and combth = combination eqth (reflexive ca)
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   933
      val {thy,prop,...} = rep_thm eqth
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   934
      val (abst,absu) = Logic.dest_equals prop
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   935
      val cert = cterm_of (Theory.merge (thy,thya))
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   936
  in  transitive (symmetric (beta_conversion false (cert (abst$a))))
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
   937
           (transitive combth (beta_conversion false (cert (absu$a))))
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   938
  end
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   939
  handle THM _ => raise THM("equal_abs_elim", 0, [eqth]);
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   940
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   941
(*Calling equal_abs_elim with multiple terms*)
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   942
fun equal_abs_elim_list cts th = foldr (uncurry equal_abs_elim) th (rev cts);
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   943
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   944
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   945
(** protected propositions **)
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   946
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   947
local
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   948
  val A = cert (Free ("A", propT));
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   949
  val prop_def = #1 (freeze_thaw ProtoPure.prop_def);
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   950
in
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   951
  val protect = Thm.capply (cert Logic.protectC);
18799
f137c5e971f5 moved theorem tags from Drule to PureThy;
wenzelm
parents: 18777
diff changeset
   952
  val protectI = store_thm "protectI" (PureThy.kind_rule PureThy.internalK (standard
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   953
      (Thm.equal_elim (Thm.symmetric prop_def) (Thm.assume A))));
18799
f137c5e971f5 moved theorem tags from Drule to PureThy;
wenzelm
parents: 18777
diff changeset
   954
  val protectD = store_thm "protectD" (PureThy.kind_rule PureThy.internalK (standard
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   955
      (Thm.equal_elim prop_def (Thm.assume (protect A)))));
18179
cf4b265007bf added protect_cong, cong_mono_thm;
wenzelm
parents: 18129
diff changeset
   956
  val protect_cong = store_standard_thm_open "protect_cong" (Thm.reflexive (protect A));
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   957
end;
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   958
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
   959
fun implies_intr_protected asms th =
18118
38316c575328 removed impose_hyps, satisfy_hyps;
wenzelm
parents: 18025
diff changeset
   960
  let val asms' = map protect asms in
38316c575328 removed impose_hyps, satisfy_hyps;
wenzelm
parents: 18025
diff changeset
   961
    implies_elim_list
38316c575328 removed impose_hyps, satisfy_hyps;
wenzelm
parents: 18025
diff changeset
   962
      (implies_intr_list asms th)
38316c575328 removed impose_hyps, satisfy_hyps;
wenzelm
parents: 18025
diff changeset
   963
      (map (fn asm' => Thm.assume asm' RS protectD) asms')
38316c575328 removed impose_hyps, satisfy_hyps;
wenzelm
parents: 18025
diff changeset
   964
    |> implies_intr_list asms'
38316c575328 removed impose_hyps, satisfy_hyps;
wenzelm
parents: 18025
diff changeset
   965
  end;
11815
ef7619398680 added implies_intr_goals;
wenzelm
parents: 11741
diff changeset
   966
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   967
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   968
(** variations on instantiate **)
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   969
8550
b44c185f8018 new meta-rule "inst", a shorthand for read_instantiate_sg
paulson
parents: 8496
diff changeset
   970
(*shorthand for instantiating just one variable in the current theory*)
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   971
fun inst x t = read_instantiate_sg (the_context()) [(x,t)];
8550
b44c185f8018 new meta-rule "inst", a shorthand for read_instantiate_sg
paulson
parents: 8496
diff changeset
   972
b44c185f8018 new meta-rule "inst", a shorthand for read_instantiate_sg
paulson
parents: 8496
diff changeset
   973
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   974
(* instantiate by left-to-right occurrence of variables *)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   975
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   976
fun instantiate' cTs cts thm =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   977
  let
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   978
    fun err msg =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   979
      raise TYPE ("instantiate': " ^ msg,
19482
9f11af8f7ef9 tuned basic list operators (flat, maps, map_filter);
wenzelm
parents: 19421
diff changeset
   980
        map_filter (Option.map Thm.typ_of) cTs,
9f11af8f7ef9 tuned basic list operators (flat, maps, map_filter);
wenzelm
parents: 19421
diff changeset
   981
        map_filter (Option.map Thm.term_of) cts);
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   982
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   983
    fun inst_of (v, ct) =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   984
      (Thm.cterm_of (Thm.theory_of_cterm ct) (Var v), ct)
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   985
        handle TYPE (msg, _, _) => err msg;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   986
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   987
    fun tyinst_of (v, cT) =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
   988
      (Thm.ctyp_of (Thm.theory_of_ctyp cT) (TVar v), cT)
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   989
        handle TYPE (msg, _, _) => err msg;
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   990
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   991
    fun zip_vars _ [] = []
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15495
diff changeset
   992
      | zip_vars (_ :: vs) (NONE :: opt_ts) = zip_vars vs opt_ts
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15495
diff changeset
   993
      | zip_vars (v :: vs) (SOME t :: opt_ts) = (v, t) :: zip_vars vs opt_ts
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   994
      | zip_vars [] _ = err "more instantiations than variables in thm";
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   995
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   996
    (*instantiate types first!*)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   997
    val thm' =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   998
      if forall is_none cTs then thm
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   999
      else Thm.instantiate (map tyinst_of (zip_vars (tvars_of thm) cTs), []) thm;
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
  1000
    in
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
  1001
      if forall is_none cts then thm'
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
  1002
      else Thm.instantiate ([], map inst_of (zip_vars (vars_of thm') cts)) thm'
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
  1003
    end;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
  1004
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
  1005
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1006
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1007
(** renaming of bound variables **)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1008
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1009
(* replace bound variables x_i in thm by y_i *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1010
(* where vs = [(x_1, y_1), ..., (x_n, y_n)]  *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1011
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1012
fun rename_bvars [] thm = thm
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1013
  | rename_bvars vs thm =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1014
    let
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
  1015
      val {thy, prop, ...} = rep_thm thm;
17325
d9d50222808e introduced new-style AList operations
haftmann
parents: 17203
diff changeset
  1016
      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
  1017
        | ren (t $ u) = ren t $ ren u
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1018
        | ren t = t;
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
  1019
    in equal_elim (reflexive (cterm_of thy (ren prop))) thm end;
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1020
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1021
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1022
(* renaming in left-to-right order *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1023
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1024
fun rename_bvars' xs thm =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1025
  let
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
  1026
    val {thy, prop, ...} = rep_thm thm;
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1027
    fun rename [] t = ([], t)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1028
      | rename (x' :: xs) (Abs (x, T, t)) =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1029
          let val (xs', t') = rename xs t
18929
d81435108688 Envir.(beta_)eta_contract;
wenzelm
parents: 18922
diff changeset
  1030
          in (xs', Abs (the_default x x', T, t')) end
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1031
      | rename xs (t $ u) =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1032
          let
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1033
            val (xs', t') = rename xs t;
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1034
            val (xs'', u') = rename xs' u
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1035
          in (xs'', t' $ u') end
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1036
      | rename xs t = (xs, t);
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1037
  in case rename xs prop of
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
  1038
      ([], prop') => equal_elim (reflexive (cterm_of thy prop')) thm
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1039
    | _ => error "More names than abstractions in theorem"
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1040
  end;
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1041
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1042
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1043
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1044
(* unvarify(T) *)
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1045
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1046
(*assume thm in standard form, i.e. no frees, 0 var indexes*)
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1047
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1048
fun unvarifyT thm =
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1049
  let
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
  1050
    val cT = Thm.ctyp_of (Thm.theory_of_thm thm);
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15495
diff changeset
  1051
    val tfrees = map (fn ((x, _), S) => SOME (cT (TFree (x, S)))) (tvars_of thm);
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1052
  in instantiate' tfrees [] thm end;
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1053
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1054
fun unvarify raw_thm =
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1055
  let
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1056
    val thm = unvarifyT raw_thm;
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
  1057
    val ct = Thm.cterm_of (Thm.theory_of_thm thm);
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15495
diff changeset
  1058
    val frees = map (fn ((x, _), T) => SOME (ct (Free (x, T)))) (vars_of thm);
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1059
  in instantiate' [] frees thm end;
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1060
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1061
8605
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
  1062
(* tvars_intr_list *)
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
  1063
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
  1064
fun tvars_intr_list tfrees thm =
18129
62adfb6a7060 added fold_terms;
wenzelm
parents: 18118
diff changeset
  1065
  apfst (map (fn ((s, S), ixn) => (s, (ixn, S)))) (Thm.varifyT'
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
  1066
    (gen_rems (op = o apfst fst) (tfrees_of thm, tfrees)) thm);
8605
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
  1067
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
  1068
6435
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
  1069
(* increment var indexes *)
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
  1070
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
  1071
fun incr_indexes th = Thm.incr_indexes (Thm.maxidx_of th + 1);
18025
7dac6858168d added incr_indexes;
wenzelm
parents: 17964
diff changeset
  1072
19124
d9ac560a7bc8 removed rename_indexes_wrt;
wenzelm
parents: 19051
diff changeset
  1073
fun incr_indexes2 th1 th2 =
19421
1051bde222db added equal_elim_rule2;
wenzelm
parents: 19183
diff changeset
  1074
  Thm.incr_indexes (Int.max (Thm.maxidx_of th1, Thm.maxidx_of th2) + 1);
6435
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
  1075
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
  1076
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1077
(* freeze_all *)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1078
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1079
(*freeze all (T)Vars; assumes thm in standard form*)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1080
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1081
fun freeze_all_TVars thm =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1082
  (case tvars_of thm of
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1083
    [] => thm
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1084
  | tvars =>
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
  1085
      let val cert = Thm.ctyp_of (Thm.theory_of_thm thm)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15495
diff changeset
  1086
      in instantiate' (map (fn ((x, _), S) => SOME (cert (TFree (x, S)))) tvars) [] thm end);
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1087
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1088
fun freeze_all_Vars thm =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1089
  (case vars_of thm of
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1090
    [] => thm
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1091
  | vars =>
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 15949
diff changeset
  1092
      let val cert = Thm.cterm_of (Thm.theory_of_thm thm)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15495
diff changeset
  1093
      in instantiate' [] (map (fn ((x, _), T) => SOME (cert (Free (x, T)))) vars) thm end);
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1094
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1095
val freeze_all = freeze_all_Vars o freeze_all_TVars;
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1096
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1097
11975
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1098
18225
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
  1099
(** multi_resolve **)
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
  1100
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
  1101
local
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
  1102
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
  1103
fun res th i rule =
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
  1104
  Thm.biresolution false [(false, th)] i rule handle THM _ => Seq.empty;
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
  1105
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
  1106
fun multi_res _ [] rule = Seq.single rule
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
  1107
  | 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
  1108
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
  1109
in
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
  1110
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
  1111
val multi_resolve = multi_res 1;
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
  1112
fun multi_resolves facts rules = Seq.maps (multi_resolve facts) (Seq.of_list rules);
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
  1113
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
  1114
end;
699aad0746e2 export map_tags;
wenzelm
parents: 18206
diff changeset
  1115
11975
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1116
end;
5903
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
  1117
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
  1118
structure BasicDrule: BASIC_DRULE = Drule;
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
  1119
open BasicDrule;