src/Pure/drule.ML
author berghofe
Thu, 21 Apr 2005 19:12:03 +0200
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child 15875 3e9a54e033b9
permissions -rw-r--r--
- Eliminated nodup_vars check. - Unification and matching functions now check types of term variables / sorts of type variables when applying a substitution. - Thm.instantiate now takes (ctyp * ctyp) list instead of (indexname * ctyp) list as argument, to allow for proper instantiation of theorems containing type variables with same name but different sorts.
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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        :
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          Sign.sg -> (indexname -> typ option) * (indexname -> sort option)
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                  -> (indexname -> typ option) * (indexname -> sort option)
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                  -> string list -> (indexname * string) list
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                  -> (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 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       :
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    (ctyp * ctyp) list * (cterm * cterm) list -> thm -> thm
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  val zero_var_indexes  : 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: Sign.sg -> (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_sg         : 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 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 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 inst              : string -> string -> thm -> thm
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  val instantiate'      : ctyp option list -> cterm option list -> thm -> thm
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  val incr_indexes_wrt  : int list -> ctyp list -> cterm list -> thm 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 strip_comb: cterm -> cterm * cterm list
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  val strip_type: ctyp -> ctyp list * ctyp
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  val add_used: thm -> string list -> string list
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  val rule_attribute: ('a -> thm -> thm) -> 'a attribute
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  val tag_rule: tag -> thm -> thm
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  val untag_rule: string -> thm -> thm
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  val tag: tag -> 'a attribute
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  val untag: string -> 'a attribute
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  val get_kind: thm -> string
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  val kind: string -> 'a attribute
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  val theoremK: string
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  val lemmaK: string
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  val corollaryK: string
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  val internalK: string
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  val kind_internal: 'a attribute
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  val has_internal: tag list -> bool
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  val impose_hyps: cterm list -> thm -> thm
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  val satisfy_hyps: thm list -> 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 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 add_rules: thm list -> thm list -> thm list
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  val del_rules: thm list -> thm list -> thm list
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  val merge_rules: thm list * thm list -> thm list
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  val imp_cong'         : thm -> thm -> thm
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  val beta_eta_conversion: cterm -> thm
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  val goals_conv        : (int -> bool) -> (cterm -> thm) -> cterm -> thm
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  val forall_conv       : (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: Sign.sg -> term -> term
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  val triv_goal: thm
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  val rev_triv_goal: thm
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  val implies_intr_goals: cterm list -> thm -> thm
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  val freeze_all: thm -> thm
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  val mk_triv_goal: cterm -> 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 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 -> thm * (string * (indexname * sort)) list
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  val remdups_rl: thm
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  val conj_intr: thm -> thm -> thm
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  val conj_intr_list: thm list -> thm
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  val conj_elim: thm -> thm * thm
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  val conj_elim_list: thm -> thm list
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  val conj_elim_precise: int -> thm -> thm list
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  val conj_intr_thm: thm
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  val abs_def: thm -> thm
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  val read_instantiate_sg': Sign.sg -> (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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3991
4cb2f2422695 ProtoPure.thy;
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(** some cterm->cterm operations: much faster than calling cterm_of! **)
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(** SAME NAMES as in structure Logic: use compound identifiers! **)
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(*dest_implies for cterms. Note T=prop below*)
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fun dest_implies ct =
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    case term_of ct of
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        (Const("==>", _) $ _ $ _) =>
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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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      | _ => raise TERM ("dest_implies", [term_of ct]) ;
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fun dest_equals ct =
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    case term_of ct of
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        (Const("==", _) $ _ $ _) =>
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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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      | _ => 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, sign, ...} = Thm.rep_cterm ct
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  in Thm.cterm_of sign (f t) end;
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fun ctyp_fun f cT =
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  let val {T, sign, ...} = Thm.rep_ctyp cT
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  in Thm.ctyp_of sign (f T) end;
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val proto_sign = Theory.sign_of ProtoPure.thy;
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val implies = cterm_of proto_sign Term.implies;
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(*cterm version of mk_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 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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(** 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 sign (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 (sign,sorts) st;
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        in if Sign.typ_instance sign (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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                          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(sign,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 sign (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 sign (TVar (ixn, sort_of ixn)),
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      ctyp_of sign T)) (tye2 @ tye),
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    ListPair.zip(map mkcVar ixnTs,cts))
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end;
229
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252
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(*** Find the type (sort) associated with a (T)Var or (T)Free in a term
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     Used for establishing default types (of variables) and sorts (of
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     type variables) when reading another term.
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     Index -1 indicates that a (T)Free rather than a (T)Var is wanted.
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***)
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fun types_sorts thm =
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    let val {prop, hyps, tpairs, ...} = Thm.rep_thm thm;
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        (* bogus term! *)
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        val big = list_comb (list_comb (prop, hyps), Thm.terms_of_tpairs tpairs);
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        val vars = map dest_Var (term_vars big);
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        val frees = map dest_Free (term_frees big);
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        val tvars = term_tvars big;
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        val tfrees = term_tfrees big;
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        fun typ(a,i) = if i<0 then assoc(frees,a) else assoc(vars,(a,i));
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        fun sort(a,i) = if i<0 then assoc(tfrees,a) else assoc(tvars,(a,i));
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    in (typ,sort) end;
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fun add_used thm used =
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  let val {prop, hyps, tpairs, ...} = Thm.rep_thm thm in
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    add_term_tvarnames (prop, used)
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    |> fold (curry add_term_tvarnames) hyps
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    |> fold (curry add_term_tvarnames) (Thm.terms_of_tpairs tpairs)
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   286
  end;
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f23722b4fbe7 export has_internal;
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(** basic attributes **)
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   292
(* dependent rules *)
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   294
fun rule_attribute f (x, thm) = (x, (f x thm));
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f23722b4fbe7 export has_internal;
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f23722b4fbe7 export has_internal;
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(* add / delete tags *)
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fun map_tags f thm =
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  Thm.put_name_tags (Thm.name_of_thm thm, f (#2 (Thm.get_name_tags thm))) thm;
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fun tag_rule tg = map_tags (fn tgs => if tg mem tgs then tgs else tgs @ [tg]);
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fun untag_rule s = map_tags (filter_out (equal s o #1));
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   305
fun tag tg x = rule_attribute (K (tag_rule tg)) x;
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   306
fun untag s x = rule_attribute (K (untag_rule s)) x;
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fun simple_tag name x = tag (name, []) x;
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parents: 9418
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   309
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(* theorem kinds *)
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val theoremK = "theorem";
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val lemmaK = "lemma";
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val corollaryK = "corollary";
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val internalK = "internal";
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   318
fun get_kind thm =
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  (case Library.assoc (#2 (Thm.get_name_tags thm), "kind") of
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skalberg
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    SOME (k :: _) => k
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wenzelm
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   321
  | _ => "unknown");
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   322
470e608d7a74 generic theorem kinds ("theorem", "lemma" etc.);
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fun kind_rule k = tag_rule ("kind", [k]) o untag_rule "kind";
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d9e0674653b3 kind: ignore "";
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fun kind k x = if k = "" then x else rule_attribute (K (kind_rule k)) x;
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fun kind_internal x = kind internalK x;
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   326
fun has_internal tags = exists (equal internalK o fst) tags;
9455
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f23722b4fbe7 export has_internal;
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parents: 9418
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   328
f23722b4fbe7 export has_internal;
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parents: 9418
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   329
0
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(** Standardization of rules **)
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   331
7636
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   332
(*Strip extraneous shyps as far as possible*)
102a4b6b83a6 strip_shyps_warning;
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fun strip_shyps_warning thm =
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wenzelm
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   334
  let
14824
336ade035a34 improved output;
wenzelm
parents: 14643
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   335
    val str_of_sort = Pretty.str_of o Sign.pretty_sort (Thm.sign_of_thm thm);
7636
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
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   336
    val thm' = Thm.strip_shyps thm;
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
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   337
    val xshyps = Thm.extra_shyps thm';
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wenzelm
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   338
  in
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   339
    if null xshyps then ()
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
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   340
    else warning ("Pending sort hypotheses: " ^ commas (map str_of_sort xshyps));
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
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   341
    thm'
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
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   342
  end;
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
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   343
0
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   344
(*Generalization over a list of variables, IGNORING bad ones*)
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clasohm
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   345
fun forall_intr_list [] th = th
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   346
  | forall_intr_list (y::ys) th =
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
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   347
        let val gth = forall_intr_list ys th
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wenzelm
parents: 229
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   348
        in  forall_intr y gth   handle THM _ =>  gth  end;
0
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   349
a5a9c433f639 Initial revision
clasohm
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   350
(*Generalization over all suitable Free variables*)
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clasohm
parents:
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   351
fun forall_intr_frees th =
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clasohm
parents:
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   352
    let val {prop,sign,...} = rep_thm th
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clasohm
parents:
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   353
    in  forall_intr_list
4440
9ed4098074bc adapted to new sort function;
wenzelm
parents: 4313
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   354
         (map (cterm_of sign) (sort (make_ord atless) (term_frees prop)))
0
a5a9c433f639 Initial revision
clasohm
parents:
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   355
         th
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clasohm
parents:
diff changeset
   356
    end;
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clasohm
parents:
diff changeset
   357
7898
d7e65a52acf9 forall_elim_var(s) moved to pure_thy.ML;
wenzelm
parents: 7636
diff changeset
   358
val forall_elim_var = PureThy.forall_elim_var;
d7e65a52acf9 forall_elim_var(s) moved to pure_thy.ML;
wenzelm
parents: 7636
diff changeset
   359
val forall_elim_vars = PureThy.forall_elim_vars;
0
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clasohm
parents:
diff changeset
   360
12725
7ede865e1fe5 renamed forall_elim_vars_safe to gen_all;
wenzelm
parents: 12719
diff changeset
   361
fun gen_all thm =
12719
41e0d086f8b6 improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents: 12710
diff changeset
   362
  let
41e0d086f8b6 improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents: 12710
diff changeset
   363
    val {sign, prop, maxidx, ...} = Thm.rep_thm thm;
41e0d086f8b6 improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents: 12710
diff changeset
   364
    fun elim (th, (x, T)) = Thm.forall_elim (Thm.cterm_of sign (Var ((x, maxidx + 1), T))) th;
41e0d086f8b6 improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents: 12710
diff changeset
   365
    val vs = Term.strip_all_vars prop;
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15545
diff changeset
   366
  in Library.foldl elim (thm, Term.variantlist (map #1 vs, []) ~~ map #2 vs) end;
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   367
0
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clasohm
parents:
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   368
(*Specialization over a list of cterms*)
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   369
fun forall_elim_list cts th = foldr (uncurry forall_elim) th (rev cts);
0
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   370
11815
ef7619398680 added implies_intr_goals;
wenzelm
parents: 11741
diff changeset
   371
(* maps A1,...,An |- B   to   [| A1;...;An |] ==> B  *)
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   372
fun implies_intr_list cAs th = foldr (uncurry implies_intr) th cAs;
0
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clasohm
parents:
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   373
a5a9c433f639 Initial revision
clasohm
parents:
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   374
(* maps [| A1;...;An |] ==> B and [A1,...,An]   to   B *)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15545
diff changeset
   375
fun implies_elim_list impth ths = Library.foldl (uncurry implies_elim) (impth,ths);
0
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clasohm
parents:
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   376
11960
58ffa8bec4da added impose_hyps;
wenzelm
parents: 11815
diff changeset
   377
(* maps |- B to A1,...,An |- B *)
58ffa8bec4da added impose_hyps;
wenzelm
parents: 11815
diff changeset
   378
fun impose_hyps chyps th =
12092
d1896409ff13 tuned impose_hyps;
wenzelm
parents: 12054
diff changeset
   379
  let val chyps' = gen_rems (op aconv o apfst Thm.term_of) (chyps, #hyps (Thm.rep_thm th))
d1896409ff13 tuned impose_hyps;
wenzelm
parents: 12054
diff changeset
   380
  in implies_elim_list (implies_intr_list chyps' th) (map Thm.assume chyps') end;
11960
58ffa8bec4da added impose_hyps;
wenzelm
parents: 11815
diff changeset
   381
13389
0cbda884a7e5 added satisfy_hyps;
wenzelm
parents: 13368
diff changeset
   382
(* maps A1,...,An and A1,...,An |- B to |- B *)
0cbda884a7e5 added satisfy_hyps;
wenzelm
parents: 13368
diff changeset
   383
fun satisfy_hyps ths th =
0cbda884a7e5 added satisfy_hyps;
wenzelm
parents: 13368
diff changeset
   384
  implies_elim_list (implies_intr_list (map (#prop o Thm.crep_thm) ths) th) ths;
0cbda884a7e5 added satisfy_hyps;
wenzelm
parents: 13368
diff changeset
   385
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   386
(*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
   387
fun zero_var_indexes th =
15545
0efa7126003f Lucas - fixed bug in zero_var_indexes: it was ignoring vars in the flex-flex pairs. These are now taken into account.
dixon
parents: 15531
diff changeset
   388
    let val {prop,sign,tpairs,...} = rep_thm th;
0efa7126003f Lucas - fixed bug in zero_var_indexes: it was ignoring vars in the flex-flex pairs. These are now taken into account.
dixon
parents: 15531
diff changeset
   389
        val (tpair_l, tpair_r) = Library.split_list tpairs;
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   390
        val vars = foldr add_term_vars 
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   391
                         (foldr add_term_vars (term_vars prop) tpair_l) tpair_r;
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15545
diff changeset
   392
        val bs = Library.foldl add_new_id ([], map (fn Var((a,_),_)=>a) vars)
15545
0efa7126003f Lucas - fixed bug in zero_var_indexes: it was ignoring vars in the flex-flex pairs. These are now taken into account.
dixon
parents: 15531
diff changeset
   393
        val inrs = 
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   394
            foldr add_term_tvars 
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   395
                  (foldr add_term_tvars (term_tvars prop) tpair_l) tpair_r;
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15545
diff changeset
   396
        val nms' = rev(Library.foldl add_new_id ([], map (#1 o #1) inrs));
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   397
        val tye = ListPair.map (fn ((v, rs), a) => (TVar (v, rs), TVar ((a, 0), rs)))
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   398
                     (inrs, nms')
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   399
        val ctye = map (pairself (ctyp_of sign)) tye;
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   400
        fun varpairs([],[]) = []
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   401
          | varpairs((var as Var(v,T)) :: vars, b::bs) =
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   402
                let val T' = typ_subst_atomic tye T
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   403
                in (cterm_of sign (Var(v,T')),
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   404
                    cterm_of sign (Var((b,0),T'))) :: varpairs(vars,bs)
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   405
                end
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   406
          | varpairs _ = raise TERM("varpairs", []);
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   407
    in Thm.instantiate (ctye, varpairs(vars,rev bs)) th end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   408
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   409
14394
51b24127eef2 comments!!
paulson
parents: 14391
diff changeset
   410
(** Standard form of object-rule: no hypotheses, flexflex constraints,
51b24127eef2 comments!!
paulson
parents: 14391
diff changeset
   411
    Frees, or outer quantifiers; all generality expressed by Vars of index 0.**)
10515
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   412
14394
51b24127eef2 comments!!
paulson
parents: 14391
diff changeset
   413
(*Squash a theorem's flexflex constraints provided it can be done uniquely.
51b24127eef2 comments!!
paulson
parents: 14391
diff changeset
   414
  This step can lose information.*)
14387
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
diff changeset
   415
fun flexflex_unique th =
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
diff changeset
   416
    case Seq.chop (2, flexflex_rule th) of
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
diff changeset
   417
      ([th],_) => th
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
diff changeset
   418
    | ([],_)   => raise THM("flexflex_unique: impossible constraints", 0, [th])
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
diff changeset
   419
    |      _   => raise THM("flexflex_unique: multiple unifiers", 0, [th]);
e96d5c42c4b0 Polymorphic treatment of binary arithmetic using axclasses
paulson
parents: 14340
diff changeset
   420
10515
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   421
fun close_derivation thm =
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   422
  if Thm.get_name_tags thm = ("", []) then Thm.name_thm ("", thm)
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   423
  else thm;
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   424
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   425
fun standard' th =
10515
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   426
  let val {maxidx,...} = rep_thm th in
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   427
    th
14391
bb726050650d Moved application of flexflex_unique from standard' to standard.
berghofe
parents: 14387
diff changeset
   428
    |> implies_intr_hyps
10515
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   429
    |> forall_intr_frees |> forall_elim_vars (maxidx + 1)
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   430
    |> strip_shyps_warning
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   431
    |> zero_var_indexes |> Thm.varifyT |> Thm.compress
1218
59ed8ef1a3a1 modified pretty_thm, standard, eq_thm to handle shyps;
wenzelm
parents: 1194
diff changeset
   432
  end;
59ed8ef1a3a1 modified pretty_thm, standard, eq_thm to handle shyps;
wenzelm
parents: 1194
diff changeset
   433
14391
bb726050650d Moved application of flexflex_unique from standard' to standard.
berghofe
parents: 14387
diff changeset
   434
val standard = close_derivation o standard' o flexflex_unique;
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   435
12005
291593391010 added local_standard;
wenzelm
parents: 11997
diff changeset
   436
fun local_standard th =
12221
cc31140bba16 local_standard: plain strip_shyps instead of strip_shyps_warning;
wenzelm
parents: 12135
diff changeset
   437
  th |> strip_shyps |> zero_var_indexes
12005
291593391010 added local_standard;
wenzelm
parents: 11997
diff changeset
   438
  |> Thm.compress |> close_derivation;
291593391010 added local_standard;
wenzelm
parents: 11997
diff changeset
   439
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   440
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   441
(*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
   442
  reversing that operation.  DOES NOT WORK FOR TYPE VARIABLES.
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   443
  Similar code in type/freeze_thaw*)
15495
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   444
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   445
fun freeze_thaw_robust th =
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   446
 let val fth = freezeT th
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   447
     val {prop, tpairs, sign, ...} = rep_thm fth
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   448
 in
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   449
   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
   450
       [] => (fth, fn i => fn x => x)   (*No vars: nothing to do!*)
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   451
     | vars =>
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   452
         let fun newName (Var(ix,_), pairs) =
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   453
                   let val v = gensym (string_of_indexname ix)
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   454
                   in  ((ix,v)::pairs)  end;
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   455
             val alist = foldr newName [] vars
15495
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   456
             fun mk_inst (Var(v,T)) =
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   457
                 (cterm_of sign (Var(v,T)),
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15545
diff changeset
   458
                  cterm_of sign (Free(valOf (assoc(alist,v)), T)))
15495
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   459
             val insts = map mk_inst vars
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   460
             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
   461
                 th' |> forall_intr_list (map #2 insts)
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   462
                     |> 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
   463
         in  (Thm.instantiate ([],insts) fth, thaw)  end
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   464
 end;
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   465
50fde6f04e4c new treatment of demodulation in proof reconstruction
paulson
parents: 15442
diff changeset
   466
(*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
   467
  The Frees created from Vars have nice names.*)
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   468
fun freeze_thaw th =
7248
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   469
 let val fth = freezeT th
13659
3cf622f6b0b2 Removed obsolete functions dealing with flex-flex constraints.
berghofe
parents: 13650
diff changeset
   470
     val {prop, tpairs, sign, ...} = rep_thm fth
7248
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   471
 in
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   472
   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
   473
       [] => (fth, fn x => x)
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   474
     | vars =>
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   475
         let fun newName (Var(ix,_), (pairs,used)) =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   476
                   let val v = variant used (string_of_indexname ix)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   477
                   in  ((ix,v)::pairs, v::used)  end;
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   478
             val (alist, _) = foldr newName ([], Library.foldr add_term_names
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   479
               (prop :: Thm.terms_of_tpairs tpairs, [])) vars
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   480
             fun mk_inst (Var(v,T)) =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   481
                 (cterm_of sign (Var(v,T)),
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15545
diff changeset
   482
                  cterm_of sign (Free(valOf (assoc(alist,v)), T)))
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   483
             val insts = map mk_inst vars
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   484
             fun thaw th' =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   485
                 th' |> forall_intr_list (map #2 insts)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   486
                     |> forall_elim_list (map #1 insts)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   487
         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
   488
 end;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   489
7248
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   490
(*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
   491
val rotate_prems = permute_prems 0;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   492
11163
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   493
(* permute prems, where the i-th position in the argument list (counting from 0)
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   494
   gives the position within the original thm to be transferred to position i.
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   495
   Any remaining trailing positions are left unchanged. *)
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   496
val rearrange_prems = let
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   497
  fun rearr new []      thm = thm
11815
ef7619398680 added implies_intr_goals;
wenzelm
parents: 11741
diff changeset
   498
  |   rearr new (p::ps) thm = rearr (new+1)
11163
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   499
     (map (fn q => if new<=q andalso q<p then q+1 else q) ps)
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   500
     (permute_prems (new+1) (new-p) (permute_prems new (p-new) thm))
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   501
  in rearr 0 end;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   502
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   503
(*Assume a new formula, read following the same conventions as axioms.
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   504
  Generalizes over Free variables,
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   505
  creates the assumption, and then strips quantifiers.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   506
  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
   507
             [ !(A,P,a)[| ALL x:A. P(x) |] ==> [| P(a) |] ]    *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   508
fun assume_ax thy sP =
6390
5d58c100ca3f qualify Theory.sign_of etc.;
wenzelm
parents: 6086
diff changeset
   509
    let val sign = Theory.sign_of thy
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   510
        val prop = Logic.close_form (term_of (read_cterm sign (sP, propT)))
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   511
    in forall_elim_vars 0 (assume (cterm_of sign prop))  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   512
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   513
(*Resolution: exactly one resolvent must be produced.*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   514
fun tha RSN (i,thb) =
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 4057
diff changeset
   515
  case Seq.chop (2, biresolution false [(false,tha)] i thb) of
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   516
      ([th],_) => th
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   517
    | ([],_)   => raise THM("RSN: no unifiers", i, [tha,thb])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   518
    |      _   => raise THM("RSN: multiple unifiers", i, [tha,thb]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   519
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   520
(*resolution: P==>Q, Q==>R gives P==>R. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   521
fun tha RS thb = tha RSN (1,thb);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   522
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   523
(*For joining lists of rules*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   524
fun thas RLN (i,thbs) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   525
  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
   526
      fun resb thb = Seq.list_of (resolve thb) handle THM _ => []
2672
85d7e800d754 Replaced "flat" by the Basis Library function List.concat
paulson
parents: 2266
diff changeset
   527
  in  List.concat (map resb thbs)  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   528
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   529
fun thas RL thbs = thas RLN (1,thbs);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   530
11
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   531
(*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
   532
  makes proof trees*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   533
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
   534
  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
   535
        | 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
   536
  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
   537
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   538
(*As above, but for rule lists*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   539
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
   540
  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
   541
        | 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
   542
  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
   543
9288
06a55195741b infix 'OF' is a version of 'MRS' with more appropriate argument order;
wenzelm
parents: 8605
diff changeset
   544
(*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
   545
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
   546
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   547
(*compose Q and [...,Qi,Q(i+1),...]==>R to [...,Q(i+1),...]==>R
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   548
  with no lifting or renaming!  Q may contain ==> or meta-quants
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   549
  ALWAYS deletes premise i *)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   550
fun compose(tha,i,thb) =
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 4057
diff changeset
   551
    Seq.list_of (bicompose false (false,tha,0) i thb);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   552
6946
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   553
fun compose_single (tha,i,thb) =
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   554
  (case compose (tha,i,thb) of
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   555
    [th] => th
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   556
  | _ => raise THM ("compose: unique result expected", i, [tha,thb]));
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   557
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   558
(*compose Q and [Q1,Q2,...,Qk]==>R to [Q2,...,Qk]==>R getting unique result*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   559
fun tha COMP thb =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   560
    case compose(tha,1,thb) of
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   561
        [th] => th
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   562
      | _ =>   raise THM("COMP", 1, [tha,thb]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   563
13105
3d1e7a199bdc use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents: 12908
diff changeset
   564
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   565
(** theorem equality **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   566
13650
31bd2a8cdbe2 fixing the cut_tac method to work when there are no instantiations and the
paulson
parents: 13606
diff changeset
   567
(*True if the two theorems have the same signature.*)
13105
3d1e7a199bdc use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents: 12908
diff changeset
   568
val eq_thm_sg = Sign.eq_sg o pairself Thm.sign_of_thm;
13650
31bd2a8cdbe2 fixing the cut_tac method to work when there are no instantiations and the
paulson
parents: 13606
diff changeset
   569
31bd2a8cdbe2 fixing the cut_tac method to work when there are no instantiations and the
paulson
parents: 13606
diff changeset
   570
(*True if the two theorems have the same prop field, ignoring hyps, der, etc.*)
13105
3d1e7a199bdc use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents: 12908
diff changeset
   571
val eq_thm_prop = op aconv o pairself Thm.prop_of;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   572
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   573
(*Useful "distance" function for BEST_FIRST*)
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   574
val size_of_thm = size_of_term o prop_of;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   575
9829
bf49c3796599 added add_rules, del_rules;
wenzelm
parents: 9554
diff changeset
   576
(*maintain lists of theorems --- preserving canonical order*)
13105
3d1e7a199bdc use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents: 12908
diff changeset
   577
fun del_rules rs rules = Library.gen_rems eq_thm_prop (rules, rs);
9862
96138f29545e improved add_rules;
wenzelm
parents: 9829
diff changeset
   578
fun add_rules rs rules = rs @ del_rules rs rules;
12373
704e50ab65af added add_rule, del_rule;
wenzelm
parents: 12297
diff changeset
   579
val del_rule = del_rules o single;
704e50ab65af added add_rule, del_rule;
wenzelm
parents: 12297
diff changeset
   580
val add_rule = add_rules o single;
13105
3d1e7a199bdc use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents: 12908
diff changeset
   581
fun merge_rules (rules1, rules2) = gen_merge_lists' eq_thm_prop rules1 rules2;
9829
bf49c3796599 added add_rules, del_rules;
wenzelm
parents: 9554
diff changeset
   582
1194
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   583
(** Mark Staples's weaker version of eq_thm: ignores variable renaming and
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   584
    (some) type variable renaming **)
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   585
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   586
 (* Can't use term_vars, because it sorts the resulting list of variable names.
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   587
    We instead need the unique list noramlised by the order of appearance
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   588
    in the term. *)
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   589
fun term_vars' (t as Var(v,T)) = [t]
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   590
  | term_vars' (Abs(_,_,b)) = term_vars' b
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   591
  | term_vars' (f$a) = (term_vars' f) @ (term_vars' a)
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   592
  | term_vars' _ = [];
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   593
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   594
fun forall_intr_vars th =
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   595
  let val {prop,sign,...} = rep_thm th;
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   596
      val vars = distinct (term_vars' prop);
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   597
  in forall_intr_list (map (cterm_of sign) vars) th end;
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   598
13105
3d1e7a199bdc use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents: 12908
diff changeset
   599
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
   600
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   601
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   602
(*** Meta-Rewriting Rules ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   603
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   604
fun read_prop s = read_cterm proto_sign (s, propT);
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   605
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   606
fun store_thm name thm = hd (PureThy.smart_store_thms (name, [thm]));
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   607
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
   608
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
   609
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
   610
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   611
val reflexive_thm =
14854
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14824
diff changeset
   612
  let val cx = cterm_of proto_sign (Var(("x",0),TVar(("'a",0),[])))
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   613
  in store_standard_thm_open "reflexive" (Thm.reflexive cx) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   614
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   615
val symmetric_thm =
14854
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14824
diff changeset
   616
  let val xy = read_prop "x == y"
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   617
  in store_standard_thm_open "symmetric" (Thm.implies_intr_hyps (Thm.symmetric (Thm.assume xy))) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   618
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   619
val transitive_thm =
14854
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14824
diff changeset
   620
  let val xy = read_prop "x == y"
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14824
diff changeset
   621
      val yz = read_prop "y == z"
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   622
      val xythm = Thm.assume xy and yzthm = Thm.assume yz
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   623
  in store_standard_thm_open "transitive" (Thm.implies_intr yz (Thm.transitive xythm yzthm)) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   624
4679
24917efb31b5 Reorganized simplifier. May now reorient rules.
nipkow
parents: 4610
diff changeset
   625
fun symmetric_fun thm = thm RS symmetric_thm;
24917efb31b5 Reorganized simplifier. May now reorient rules.
nipkow
parents: 4610
diff changeset
   626
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   627
fun extensional eq =
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   628
  let val eq' =
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   629
    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
   630
  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
   631
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   632
val imp_cong =
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   633
  let
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   634
    val ABC = read_prop "PROP A ==> PROP B == PROP C"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   635
    val AB = read_prop "PROP A ==> PROP B"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   636
    val AC = read_prop "PROP A ==> PROP C"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   637
    val A = read_prop "PROP A"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   638
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   639
    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
   640
      (implies_intr AB (implies_intr A
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   641
        (equal_elim (implies_elim (assume ABC) (assume A))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   642
          (implies_elim (assume AB) (assume A)))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   643
      (implies_intr AC (implies_intr A
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   644
        (equal_elim (symmetric (implies_elim (assume ABC) (assume A)))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   645
          (implies_elim (assume AC) (assume A)))))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   646
  end;
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   647
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   648
val swap_prems_eq =
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   649
  let
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   650
    val ABC = read_prop "PROP A ==> PROP B ==> PROP C"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   651
    val BAC = read_prop "PROP B ==> PROP A ==> PROP C"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   652
    val A = read_prop "PROP A"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   653
    val B = read_prop "PROP B"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   654
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   655
    store_standard_thm_open "swap_prems_eq" (equal_intr
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   656
      (implies_intr ABC (implies_intr B (implies_intr A
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   657
        (implies_elim (implies_elim (assume ABC) (assume A)) (assume B)))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   658
      (implies_intr BAC (implies_intr A (implies_intr B
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   659
        (implies_elim (implies_elim (assume BAC) (assume B)) (assume A))))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   660
  end;
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   661
15001
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   662
val imp_cong' = combination o combination (reflexive implies)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   663
13325
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   664
fun abs_def thm =
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   665
  let
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   666
    val (_, cvs) = strip_comb (fst (dest_equals (cprop_of thm)));
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   667
    val thm' = foldr (fn (ct, thm) => Thm.abstract_rule
13325
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   668
      (case term_of ct of Var ((a, _), _) => a | Free (a, _) => a | _ => "x")
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   669
        ct thm) thm cvs
13325
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   670
  in transitive
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   671
    (symmetric (eta_conversion (fst (dest_equals (cprop_of thm'))))) thm'
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   672
  end;
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   673
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   674
15001
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   675
local
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   676
  val dest_eq = dest_equals o cprop_of
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   677
  val rhs_of = snd o dest_eq
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   678
in
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   679
fun beta_eta_conversion t =
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   680
  let val thm = beta_conversion true t
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   681
  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
   682
end;
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   683
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   684
(*In [A1,...,An]==>B, rewrite the selected A's only -- for rewrite_goals_tac*)
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   685
fun goals_conv pred cv =
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   686
  let fun gconv i ct =
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   687
        let val (A,B) = dest_implies ct
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   688
        in imp_cong' (if pred i then cv A else reflexive A) (gconv (i+1) B) end
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   689
        handle TERM _ => reflexive ct
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   690
  in gconv 1 end
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   691
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   692
(* Rewrite A in !!x1,...,xn. A *)
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   693
fun forall_conv cv ct =
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   694
  let val p as (ct1, ct2) = Thm.dest_comb ct
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   695
  in (case pairself term_of p of
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   696
      (Const ("all", _), Abs (s, _, _)) =>
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15495
diff changeset
   697
         let val (v, ct') = Thm.dest_abs (SOME "@") ct2;
15001
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   698
         in Thm.combination (Thm.reflexive ct1)
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   699
           (Thm.abstract_rule s v (forall_conv cv ct'))
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   700
         end
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   701
    | _ => cv ct)
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   702
  end handle TERM _ => cv ct;
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   703
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   704
(*Use a conversion to transform a theorem*)
fb2141a9f8c0 Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents: 14854
diff changeset
   705
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
   706
15669
2b1f1902505d added add_used; include tpairs;
wenzelm
parents: 15574
diff changeset
   707
(*** Some useful meta-theorems ***)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   708
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   709
(*The rule V/V, obtains assumption solving for eresolve_tac*)
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   710
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
   711
val _ = store_thm "_" asm_rl;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   712
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   713
(*Meta-level cut rule: [| V==>W; V |] ==> W *)
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   714
val cut_rl =
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   715
  store_standard_thm_open "cut_rl"
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   716
    (Thm.trivial (read_prop "PROP ?psi ==> PROP ?theta"));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   717
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   718
(*Generalized elim rule for one conclusion; cut_rl with reversed premises:
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   719
     [| PROP V;  PROP V ==> PROP W |] ==> PROP W *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   720
val revcut_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   721
  let val V = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   722
      and VW = read_prop "PROP V ==> PROP W";
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   723
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   724
    store_standard_thm_open "revcut_rl"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   725
      (implies_intr V (implies_intr VW (implies_elim (assume VW) (assume V))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   726
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   727
668
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   728
(*for deleting an unwanted assumption*)
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   729
val thin_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   730
  let val V = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   731
      and W = read_prop "PROP W";
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   732
  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
   733
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   734
(* (!!x. PROP ?V) == PROP ?V       Allows removal of redundant parameters*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   735
val triv_forall_equality =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   736
  let val V  = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   737
      and QV = read_prop "!!x::'a. PROP V"
8086
78e254305ae6 TypeInfer.logicT;
wenzelm
parents: 7898
diff changeset
   738
      and x  = read_cterm proto_sign ("x", TypeInfer.logicT);
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   739
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   740
    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
   741
      (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
   742
        (implies_intr V  (forall_intr x (assume V))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   743
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   744
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   745
(* (PROP ?PhiA ==> PROP ?PhiB ==> PROP ?Psi) ==>
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   746
   (PROP ?PhiB ==> PROP ?PhiA ==> PROP ?Psi)
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   747
   `thm COMP swap_prems_rl' swaps the first two premises of `thm'
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   748
*)
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   749
val swap_prems_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   750
  let val cmajor = read_prop "PROP PhiA ==> PROP PhiB ==> PROP Psi";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   751
      val major = assume cmajor;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   752
      val cminor1 = read_prop "PROP PhiA";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   753
      val minor1 = assume cminor1;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   754
      val cminor2 = read_prop "PROP PhiB";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   755
      val minor2 = assume cminor2;
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   756
  in store_standard_thm_open "swap_prems_rl"
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   757
       (implies_intr cmajor (implies_intr cminor2 (implies_intr cminor1
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   758
         (implies_elim (implies_elim major minor1) minor2))))
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   759
  end;
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   760
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   761
(* [| PROP ?phi ==> PROP ?psi; PROP ?psi ==> PROP ?phi |]
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   762
   ==> PROP ?phi == PROP ?psi
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   763
   Introduction rule for == as a meta-theorem.
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   764
*)
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   765
val equal_intr_rule =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   766
  let val PQ = read_prop "PROP phi ==> PROP psi"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   767
      and QP = read_prop "PROP psi ==> PROP phi"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   768
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   769
    store_standard_thm_open "equal_intr_rule"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   770
      (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
   771
  end;
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   772
13368
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   773
(* [| PROP ?phi == PROP ?psi; PROP ?phi |] ==> PROP ?psi *)
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   774
val equal_elim_rule1 =
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   775
  let val eq = read_prop "PROP phi == PROP psi"
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   776
      and P = read_prop "PROP phi"
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   777
  in store_standard_thm_open "equal_elim_rule1"
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   778
    (Thm.equal_elim (assume eq) (assume P) |> implies_intr_list [eq, P])
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   779
  end;
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   780
12297
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   781
(* "[| PROP ?phi; PROP ?phi; PROP ?psi |] ==> PROP ?psi" *)
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   782
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   783
val remdups_rl =
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   784
  let val P = read_prop "PROP phi" and Q = read_prop "PROP psi";
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   785
  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
   786
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   787
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   788
(*(PROP ?phi ==> (!!x. PROP ?psi(x))) == (!!x. PROP ?phi ==> PROP ?psi(x))
12297
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   789
  Rewrite rule for HHF normalization.*)
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   790
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   791
val norm_hhf_eq =
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   792
  let
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   793
    val cert = Thm.cterm_of proto_sign;
14854
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14824
diff changeset
   794
    val aT = TFree ("'a", []);
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   795
    val all = Term.all aT;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   796
    val x = Free ("x", aT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   797
    val phi = Free ("phi", propT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   798
    val psi = Free ("psi", aT --> propT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   799
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   800
    val cx = cert x;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   801
    val cphi = cert phi;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   802
    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
   803
    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
   804
  in
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   805
    Thm.equal_intr
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   806
      (Thm.implies_elim (Thm.assume lhs) (Thm.assume cphi)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   807
        |> Thm.forall_elim cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   808
        |> Thm.implies_intr cphi
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   809
        |> Thm.forall_intr cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   810
        |> Thm.implies_intr lhs)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   811
      (Thm.implies_elim
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   812
          (Thm.assume rhs |> Thm.forall_elim cx) (Thm.assume cphi)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   813
        |> Thm.forall_intr cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   814
        |> Thm.implies_intr cphi
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   815
        |> Thm.implies_intr rhs)
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   816
    |> store_standard_thm_open "norm_hhf_eq"
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   817
  end;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   818
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   819
fun is_norm_hhf tm =
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   820
  let
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   821
    fun is_norm (Const ("==>", _) $ _ $ (Const ("all", _) $ _)) = false
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   822
      | is_norm (t $ u) = is_norm t andalso is_norm u
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   823
      | is_norm (Abs (_, _, t)) = is_norm t
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   824
      | is_norm _ = true;
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   825
  in is_norm (Pattern.beta_eta_contract tm) end;
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   826
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   827
fun norm_hhf sg t =
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   828
  if is_norm_hhf t then t
13198
3e40f48a500f Changed interface of Pattern.rewrite_term.
berghofe
parents: 13105
diff changeset
   829
  else Pattern.rewrite_term (Sign.tsig_of sg) [Logic.dest_equals (prop_of norm_hhf_eq)] [] t;
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   830
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   831
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   832
(*** Instantiate theorem th, reading instantiations under signature sg ****)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   833
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   834
(*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
   835
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
   836
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   837
fun read_instantiate_sg' sg sinsts th =
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   838
    let val ts = types_sorts th;
15669
2b1f1902505d added add_used; include tpairs;
wenzelm
parents: 15574
diff changeset
   839
        val used = add_used th [];
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   840
    in  instantiate (read_insts sg ts ts used sinsts) th  end;
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   841
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   842
fun read_instantiate_sg sg sinsts th =
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   843
  read_instantiate_sg' sg (map (apfst Syntax.indexname) sinsts) th;
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   844
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   845
(*Instantiate theorem th, reading instantiations under theory of th*)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   846
fun read_instantiate sinsts th =
14643
wenzelm
parents: 14394
diff changeset
   847
    read_instantiate_sg (Thm.sign_of_thm th) sinsts th;
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   848
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   849
fun read_instantiate' sinsts th =
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   850
    read_instantiate_sg' (Thm.sign_of_thm th) sinsts th;
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   851
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   852
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   853
(*Left-to-right replacements: tpairs = [...,(vi,ti),...].
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   854
  Instantiates distinct Vars by terms, inferring type instantiations. *)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   855
local
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   856
  fun add_types ((ct,cu), (sign,tye,maxidx)) =
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   857
    let val {sign=signt, t=t, T= T, maxidx=maxt,...} = rep_cterm ct
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   858
        and {sign=signu, t=u, T= U, maxidx=maxu,...} = rep_cterm cu;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   859
        val maxi = Int.max(maxidx, Int.max(maxt, maxu));
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   860
        val sign' = Sign.merge(sign, Sign.merge(signt, signu))
14643
wenzelm
parents: 14394
diff changeset
   861
        val (tye',maxi') = Type.unify (Sign.tsig_of sign') (tye, maxi) (T, U)
10403
2955ee2424ce Sign.typ_instance;
wenzelm
parents: 9862
diff changeset
   862
          handle Type.TUNIFY => raise TYPE("Ill-typed instantiation", [T,U], [t,u])
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   863
    in  (sign', tye', maxi')  end;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   864
in
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   865
fun cterm_instantiate ctpairs0 th =
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   866
  let val (sign,tye,_) = foldr add_types (Thm.sign_of_thm th, Vartab.empty, 0) ctpairs0
14340
bc93ffa674cc correction to cterm_instantiate by Christoph Leuth
paulson
parents: 14081
diff changeset
   867
      fun instT(ct,cu) = 
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   868
        let val inst = cterm_of sign o Envir.subst_TVars tye o term_of
14340
bc93ffa674cc correction to cterm_instantiate by Christoph Leuth
paulson
parents: 14081
diff changeset
   869
        in (inst ct, inst cu) end
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   870
      fun ctyp2 (ixn, (S, T)) = (ctyp_of sign (TVar (ixn, S)), ctyp_of sign T)
8406
a217b0cd304d Type.unify and Type.typ_match now use Vartab instead of association lists.
berghofe
parents: 8365
diff changeset
   871
  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
   872
  handle TERM _ =>
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   873
           raise THM("cterm_instantiate: incompatible signatures",0,[th])
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   874
       | TYPE (msg, _, _) => raise THM(msg, 0, [th])
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   875
end;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   876
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   877
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   878
(** Derived rules mainly for METAHYPS **)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   879
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   880
(*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
   881
fun equal_abs_elim ca eqth =
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   882
  let val {sign=signa, t=a, ...} = rep_cterm ca
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   883
      and combth = combination eqth (reflexive ca)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   884
      val {sign,prop,...} = rep_thm eqth
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   885
      val (abst,absu) = Logic.dest_equals prop
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   886
      val cterm = cterm_of (Sign.merge (sign,signa))
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   887
  in  transitive (symmetric (beta_conversion false (cterm (abst$a))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   888
           (transitive combth (beta_conversion false (cterm (absu$a))))
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   889
  end
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   890
  handle THM _ => raise THM("equal_abs_elim", 0, [eqth]);
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   891
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   892
(*Calling equal_abs_elim with multiple terms*)
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   893
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
   894
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   895
10667
75a1c9575edb eliminated GOAL syntax;
wenzelm
parents: 10515
diff changeset
   896
(*** Goal (PROP A) <==> PROP A ***)
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   897
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   898
local
10667
75a1c9575edb eliminated GOAL syntax;
wenzelm
parents: 10515
diff changeset
   899
  val cert = Thm.cterm_of proto_sign;
75a1c9575edb eliminated GOAL syntax;
wenzelm
parents: 10515
diff changeset
   900
  val A = Free ("A", propT);
75a1c9575edb eliminated GOAL syntax;
wenzelm
parents: 10515
diff changeset
   901
  val G = Logic.mk_goal A;
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   902
  val (G_def, _) = freeze_thaw ProtoPure.Goal_def;
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   903
in
11741
470e608d7a74 generic theorem kinds ("theorem", "lemma" etc.);
wenzelm
parents: 11512
diff changeset
   904
  val triv_goal = store_thm "triv_goal" (kind_rule internalK (standard
10667
75a1c9575edb eliminated GOAL syntax;
wenzelm
parents: 10515
diff changeset
   905
      (Thm.equal_elim (Thm.symmetric G_def) (Thm.assume (cert A)))));
11741
470e608d7a74 generic theorem kinds ("theorem", "lemma" etc.);
wenzelm
parents: 11512
diff changeset
   906
  val rev_triv_goal = store_thm "rev_triv_goal" (kind_rule internalK (standard
10667
75a1c9575edb eliminated GOAL syntax;
wenzelm
parents: 10515
diff changeset
   907
      (Thm.equal_elim G_def (Thm.assume (cert G)))));
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   908
end;
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   909
9460
53d7ad5bec39 Logic.goal_const;
wenzelm
parents: 9455
diff changeset
   910
val mk_cgoal = Thm.capply (Thm.cterm_of proto_sign Logic.goal_const);
6995
d824a86266a9 added mk_cgoal, assume_goal;
wenzelm
parents: 6946
diff changeset
   911
fun assume_goal ct = Thm.assume (mk_cgoal ct) RS rev_triv_goal;
d824a86266a9 added mk_cgoal, assume_goal;
wenzelm
parents: 6946
diff changeset
   912
11815
ef7619398680 added implies_intr_goals;
wenzelm
parents: 11741
diff changeset
   913
fun implies_intr_goals cprops thm =
ef7619398680 added implies_intr_goals;
wenzelm
parents: 11741
diff changeset
   914
  implies_elim_list (implies_intr_list cprops thm) (map assume_goal cprops)
ef7619398680 added implies_intr_goals;
wenzelm
parents: 11741
diff changeset
   915
  |> implies_intr_list (map mk_cgoal cprops);
ef7619398680 added implies_intr_goals;
wenzelm
parents: 11741
diff changeset
   916
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   917
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   918
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   919
(** variations on instantiate **)
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   920
8550
b44c185f8018 new meta-rule "inst", a shorthand for read_instantiate_sg
paulson
parents: 8496
diff changeset
   921
(*shorthand for instantiating just one variable in the current theory*)
b44c185f8018 new meta-rule "inst", a shorthand for read_instantiate_sg
paulson
parents: 8496
diff changeset
   922
fun inst x t = read_instantiate_sg (sign_of (the_context())) [(x,t)];
b44c185f8018 new meta-rule "inst", a shorthand for read_instantiate_sg
paulson
parents: 8496
diff changeset
   923
b44c185f8018 new meta-rule "inst", a shorthand for read_instantiate_sg
paulson
parents: 8496
diff changeset
   924
12495
89f97fa683f5 export add_tvarsT etc.;
wenzelm
parents: 12373
diff changeset
   925
(* collect vars in left-to-right order *)
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   926
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15545
diff changeset
   927
fun tvars_of_terms ts = rev (Library.foldl Term.add_tvars ([], ts));
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15545
diff changeset
   928
fun vars_of_terms ts = rev (Library.foldl Term.add_vars ([], ts));
5903
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   929
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   930
fun tvars_of thm = tvars_of_terms [prop_of thm];
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   931
fun vars_of thm = vars_of_terms [prop_of thm];
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   932
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   933
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   934
(* instantiate by left-to-right occurrence of variables *)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   935
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   936
fun instantiate' cTs cts thm =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   937
  let
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   938
    fun err msg =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   939
      raise TYPE ("instantiate': " ^ msg,
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15545
diff changeset
   940
        List.mapPartial (Option.map Thm.typ_of) cTs,
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15545
diff changeset
   941
        List.mapPartial (Option.map Thm.term_of) cts);
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   942
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   943
    fun inst_of (v, ct) =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   944
      (Thm.cterm_of (#sign (Thm.rep_cterm ct)) (Var v), ct)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   945
        handle TYPE (msg, _, _) => err msg;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   946
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   947
    fun tyinst_of (v, cT) =
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   948
      (Thm.ctyp_of (#sign (Thm.rep_ctyp cT)) (TVar v), cT)
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   949
        handle TYPE (msg, _, _) => err msg;
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   950
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   951
    fun zip_vars _ [] = []
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15495
diff changeset
   952
      | zip_vars (_ :: vs) (NONE :: opt_ts) = zip_vars vs opt_ts
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15495
diff changeset
   953
      | zip_vars (v :: vs) (SOME t :: opt_ts) = (v, t) :: zip_vars vs opt_ts
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   954
      | zip_vars [] _ = err "more instantiations than variables in thm";
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   955
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   956
    (*instantiate types first!*)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   957
    val thm' =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   958
      if forall is_none cTs then thm
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
   959
      else Thm.instantiate (map tyinst_of (zip_vars (tvars_of thm) cTs), []) thm;
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   960
    in
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   961
      if forall is_none cts then thm'
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   962
      else Thm.instantiate ([], map inst_of (zip_vars (vars_of thm') cts)) thm'
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   963
    end;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   964
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   965
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   966
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   967
(** renaming of bound variables **)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   968
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   969
(* replace bound variables x_i in thm by y_i *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   970
(* where vs = [(x_1, y_1), ..., (x_n, y_n)]  *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   971
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   972
fun rename_bvars [] thm = thm
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   973
  | rename_bvars vs thm =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   974
    let
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   975
      val {sign, prop, ...} = rep_thm thm;
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15545
diff changeset
   976
      fun ren (Abs (x, T, t)) = Abs (getOpt (assoc (vs, x), x), T, ren t)
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   977
        | ren (t $ u) = ren t $ ren u
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   978
        | ren t = t;
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   979
    in equal_elim (reflexive (cterm_of sign (ren prop))) thm end;
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   980
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   981
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   982
(* renaming in left-to-right order *)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   983
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   984
fun rename_bvars' xs thm =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   985
  let
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   986
    val {sign, prop, ...} = rep_thm thm;
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   987
    fun rename [] t = ([], t)
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   988
      | rename (x' :: xs) (Abs (x, T, t)) =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   989
          let val (xs', t') = rename xs t
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15545
diff changeset
   990
          in (xs', Abs (getOpt (x',x), T, t')) end
14081
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   991
      | rename xs (t $ u) =
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   992
          let
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   993
            val (xs', t') = rename xs t;
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   994
            val (xs'', u') = rename xs' u
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   995
          in (xs'', t' $ u') end
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   996
      | rename xs t = (xs, t);
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   997
  in case rename xs prop of
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   998
      ([], prop') => equal_elim (reflexive (cterm_of sign prop')) thm
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
   999
    | _ => error "More names than abstractions in theorem"
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1000
  end;
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1001
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1002
6c0f67e2f8d5 Added functions for renaming bound variables.
berghofe
parents: 13659
diff changeset
  1003
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1004
(* unvarify(T) *)
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1005
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1006
(*assume thm in standard form, i.e. no frees, 0 var indexes*)
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1007
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1008
fun unvarifyT thm =
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1009
  let
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1010
    val cT = Thm.ctyp_of (Thm.sign_of_thm thm);
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15495
diff changeset
  1011
    val tfrees = map (fn ((x, _), S) => SOME (cT (TFree (x, S)))) (tvars_of thm);
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1012
  in instantiate' tfrees [] thm end;
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1013
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1014
fun unvarify raw_thm =
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1015
  let
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1016
    val thm = unvarifyT raw_thm;
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1017
    val ct = Thm.cterm_of (Thm.sign_of_thm thm);
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15495
diff changeset
  1018
    val frees = map (fn ((x, _), T) => SOME (ct (Free (x, T)))) (vars_of thm);
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1019
  in instantiate' [] frees thm end;
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1020
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1021
8605
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
  1022
(* tvars_intr_list *)
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
  1023
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
  1024
fun tfrees_of thm =
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
  1025
  let val {hyps, prop, ...} = Thm.rep_thm thm
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
  1026
  in foldr Term.add_term_tfrees [] (prop :: hyps) end;
8605
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
  1027
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
  1028
fun tvars_intr_list tfrees thm =
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
  1029
  apsnd (map (fn ((s, S), ixn) => (s, (ixn, S)))) (Thm.varifyT'
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15669
diff changeset
  1030
    (gen_rems (op = o apfst fst) (tfrees_of thm, tfrees)) thm);
8605
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
  1031
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
  1032
6435
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
  1033
(* increment var indexes *)
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
  1034
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
  1035
fun incr_indexes_wrt is cTs cts thms =
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
  1036
  let
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
  1037
    val maxidx =
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15545
diff changeset
  1038
      Library.foldl Int.max (~1, is @
6435
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
  1039
        map (maxidx_of_typ o #T o Thm.rep_ctyp) cTs @
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
  1040
        map (#maxidx o Thm.rep_cterm) cts @
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
  1041
        map (#maxidx o Thm.rep_thm) thms);
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
  1042
  in Thm.incr_indexes (maxidx + 1) end;
6435
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
  1043
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
  1044
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1045
(* freeze_all *)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1046
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1047
(*freeze all (T)Vars; assumes thm in standard form*)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1048
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1049
fun freeze_all_TVars thm =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1050
  (case tvars_of thm of
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1051
    [] => thm
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1052
  | tvars =>
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1053
      let val cert = Thm.ctyp_of (Thm.sign_of_thm thm)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15495
diff changeset
  1054
      in instantiate' (map (fn ((x, _), S) => SOME (cert (TFree (x, S)))) tvars) [] thm end);
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1055
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1056
fun freeze_all_Vars thm =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1057
  (case vars_of thm of
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1058
    [] => thm
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1059
  | vars =>
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1060
      let val cert = Thm.cterm_of (Thm.sign_of_thm thm)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15495
diff changeset
  1061
      in instantiate' [] (map (fn ((x, _), T) => SOME (cert (Free (x, T)))) vars) thm end);
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1062
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1063
val freeze_all = freeze_all_Vars o freeze_all_TVars;
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1064
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
  1065
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1066
(* mk_triv_goal *)
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1067
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
  1068
(*make an initial proof state, "PROP A ==> (PROP A)" *)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15495
diff changeset
  1069
fun mk_triv_goal ct = instantiate' [] [SOME ct] triv_goal;
5311
f3f71669878e Rule mk_triv_goal for making instances of triv_goal
paulson
parents: 5079
diff changeset
  1070
11975
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1071
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1072
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1073
(** meta-level conjunction **)
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1074
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1075
local
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1076
  val A = read_prop "PROP A";
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1077
  val B = read_prop "PROP B";
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1078
  val C = read_prop "PROP C";
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1079
  val ABC = read_prop "PROP A ==> PROP B ==> PROP C";
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1080
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1081
  val proj1 =
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1082
    forall_intr_list [A, B] (implies_intr_list [A, B] (Thm.assume A))
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1083
    |> forall_elim_vars 0;
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1084
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1085
  val proj2 =
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1086
    forall_intr_list [A, B] (implies_intr_list [A, B] (Thm.assume B))
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1087
    |> forall_elim_vars 0;
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1088
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1089
  val conj_intr_rule =
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1090
    forall_intr_list [A, B] (implies_intr_list [A, B]
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1091
      (Thm.forall_intr C (Thm.implies_intr ABC
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1092
        (implies_elim_list (Thm.assume ABC) [Thm.assume A, Thm.assume B]))))
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1093
    |> forall_elim_vars 0;
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1094
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1095
  val incr = incr_indexes_wrt [] [] [];
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1096
in
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1097
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1098
fun conj_intr tha thb = thb COMP (tha COMP incr [tha, thb] conj_intr_rule);
12756
08bf3d911968 conj_intr_list and conj_elim_precise: cover 0 conjuncts;
wenzelm
parents: 12725
diff changeset
  1099
08bf3d911968 conj_intr_list and conj_elim_precise: cover 0 conjuncts;
wenzelm
parents: 12725
diff changeset
  1100
fun conj_intr_list [] = asm_rl
08bf3d911968 conj_intr_list and conj_elim_precise: cover 0 conjuncts;
wenzelm
parents: 12725
diff changeset
  1101
  | conj_intr_list ths = foldr1 (uncurry conj_intr) ths;
11975
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1102
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1103
fun conj_elim th =
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1104
  let val th' = forall_elim_var (#maxidx (Thm.rep_thm th) + 1) th
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1105
  in (incr [th'] proj1 COMP th', incr [th'] proj2 COMP th') end;
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1106
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1107
fun conj_elim_list th =
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1108
  let val (th1, th2) = conj_elim th
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1109
  in conj_elim_list th1 @ conj_elim_list th2 end handle THM _ => [th];
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1110
12756
08bf3d911968 conj_intr_list and conj_elim_precise: cover 0 conjuncts;
wenzelm
parents: 12725
diff changeset
  1111
fun conj_elim_precise 0 _ = []
08bf3d911968 conj_intr_list and conj_elim_precise: cover 0 conjuncts;
wenzelm
parents: 12725
diff changeset
  1112
  | conj_elim_precise 1 th = [th]
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
  1113
  | conj_elim_precise n th =
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
  1114
      let val (th1, th2) = conj_elim th
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
  1115
      in th1 :: conj_elim_precise (n - 1) th2 end;
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
  1116
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
  1117
val conj_intr_thm = store_standard_thm_open "conjunctionI"
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
  1118
  (implies_intr_list [A, B] (conj_intr (Thm.assume A) (Thm.assume B)));
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
  1119
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1120
end;
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
  1121
11975
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
  1122
end;
5903
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
  1123
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
  1124
structure BasicDrule: BASIC_DRULE = Drule;
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
  1125
open BasicDrule;