src/Pure/drule.ML
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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 skip_flexpairs    : 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 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 -> (string*string)list
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                  -> (indexname*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 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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    (indexname * 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 refl_implies      : 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 flexpair_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 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 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 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) 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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end;
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structure Drule: DRULE =
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struct
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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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(*Discard flexflex pairs; return a cterm*)
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fun skip_flexpairs ct =
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    case term_of ct of
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        (Const("==>", _) $ (Const("=?=",_)$_$_) $ _) =>
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            skip_flexpairs (#2 (dest_implies ct))
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      | _ => 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 skip_flexpairs o cprop_of;
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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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(** 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 split([],tvs,vs) = (tvs,vs)
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      | split((sv,st)::l,tvs,vs) = (case Symbol.explode sv of
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                  "'"::cs => split(l,(Syntax.indexname cs,st)::tvs,vs)
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                | cs => split(l,tvs,(Syntax.indexname cs,st)::vs));
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    val (tvs,vs) = split(insts,[],[]);
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    fun readT((a,i),st) =
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        let val ixn = ("'" ^ a,i);
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            val S = case rsorts ixn of Some S => S | None => absent 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) => (ixn,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,...} = rep_thm thm;
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        val big = list_comb(prop,hyps); (* bogus term! *)
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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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7636
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f23722b4fbe7 export has_internal;
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(** basic attributes **)
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(* dependent rules *)
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fun rule_attribute f (x, thm) = (x, (f x thm));
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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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fun tag tg x = rule_attribute (K (tag_rule tg)) x;
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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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(* 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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fun get_kind thm =
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  (case Library.assoc (#2 (Thm.get_name_tags thm), "kind") of
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    Some (k :: _) => k
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  | _ => "unknown");
470e608d7a74 generic theorem kinds ("theorem", "lemma" etc.);
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   294
470e608d7a74 generic theorem kinds ("theorem", "lemma" etc.);
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   295
fun kind_rule k = tag_rule ("kind", [k]) o untag_rule "kind";
12710
d9e0674653b3 kind: ignore "";
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parents: 12527
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   296
fun kind k x = if k = "" then x else rule_attribute (K (kind_rule k)) x;
11741
470e608d7a74 generic theorem kinds ("theorem", "lemma" etc.);
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   297
fun kind_internal x = kind internalK x;
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   298
fun has_internal tags = exists (equal internalK o fst) tags;
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
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   299
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
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   300
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
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0
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(** Standardization of rules **)
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7636
102a4b6b83a6 strip_shyps_warning;
wenzelm
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   304
(*Strip extraneous shyps as far as possible*)
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
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   305
fun strip_shyps_warning thm =
102a4b6b83a6 strip_shyps_warning;
wenzelm
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   306
  let
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   307
    val str_of_sort = Sign.str_of_sort (Thm.sign_of_thm thm);
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   308
    val thm' = Thm.strip_shyps thm;
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   309
    val xshyps = Thm.extra_shyps thm';
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
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   310
  in
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   311
    if null xshyps then ()
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   312
    else warning ("Pending sort hypotheses: " ^ commas (map str_of_sort xshyps));
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   313
    thm'
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   314
  end;
102a4b6b83a6 strip_shyps_warning;
wenzelm
parents: 7467
diff changeset
   315
0
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clasohm
parents:
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   316
(*Generalization over a list of variables, IGNORING bad ones*)
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   317
fun forall_intr_list [] th = th
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   318
  | forall_intr_list (y::ys) th =
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   319
        let val gth = forall_intr_list ys th
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   320
        in  forall_intr y gth   handle THM _ =>  gth  end;
0
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clasohm
parents:
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   321
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clasohm
parents:
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   322
(*Generalization over all suitable Free variables*)
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clasohm
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   323
fun forall_intr_frees th =
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clasohm
parents:
diff changeset
   324
    let val {prop,sign,...} = rep_thm th
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clasohm
parents:
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   325
    in  forall_intr_list
4440
9ed4098074bc adapted to new sort function;
wenzelm
parents: 4313
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   326
         (map (cterm_of sign) (sort (make_ord atless) (term_frees prop)))
0
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clasohm
parents:
diff changeset
   327
         th
a5a9c433f639 Initial revision
clasohm
parents:
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   328
    end;
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clasohm
parents:
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   329
7898
d7e65a52acf9 forall_elim_var(s) moved to pure_thy.ML;
wenzelm
parents: 7636
diff changeset
   330
val forall_elim_var = PureThy.forall_elim_var;
d7e65a52acf9 forall_elim_var(s) moved to pure_thy.ML;
wenzelm
parents: 7636
diff changeset
   331
val forall_elim_vars = PureThy.forall_elim_vars;
0
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clasohm
parents:
diff changeset
   332
12725
7ede865e1fe5 renamed forall_elim_vars_safe to gen_all;
wenzelm
parents: 12719
diff changeset
   333
fun gen_all thm =
12719
41e0d086f8b6 improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents: 12710
diff changeset
   334
  let
41e0d086f8b6 improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents: 12710
diff changeset
   335
    val {sign, prop, maxidx, ...} = Thm.rep_thm thm;
41e0d086f8b6 improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents: 12710
diff changeset
   336
    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
   337
    val vs = Term.strip_all_vars prop;
41e0d086f8b6 improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents: 12710
diff changeset
   338
  in 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
   339
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   340
(*Specialization over a list of cterms*)
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clasohm
parents:
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   341
fun forall_elim_list cts th = foldr (uncurry forall_elim) (rev cts, th);
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clasohm
parents:
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   342
11815
ef7619398680 added implies_intr_goals;
wenzelm
parents: 11741
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   343
(* maps A1,...,An |- B   to   [| A1;...;An |] ==> B  *)
0
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clasohm
parents:
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   344
fun implies_intr_list cAs th = foldr (uncurry implies_intr) (cAs,th);
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clasohm
parents:
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   345
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   346
(* maps [| A1;...;An |] ==> B and [A1,...,An]   to   B *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   347
fun implies_elim_list impth ths = foldl (uncurry implies_elim) (impth,ths);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   348
11960
58ffa8bec4da added impose_hyps;
wenzelm
parents: 11815
diff changeset
   349
(* maps |- B to A1,...,An |- B *)
58ffa8bec4da added impose_hyps;
wenzelm
parents: 11815
diff changeset
   350
fun impose_hyps chyps th =
12092
d1896409ff13 tuned impose_hyps;
wenzelm
parents: 12054
diff changeset
   351
  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
   352
  in implies_elim_list (implies_intr_list chyps' th) (map Thm.assume chyps') end;
11960
58ffa8bec4da added impose_hyps;
wenzelm
parents: 11815
diff changeset
   353
13389
0cbda884a7e5 added satisfy_hyps;
wenzelm
parents: 13368
diff changeset
   354
(* maps A1,...,An and A1,...,An |- B to |- B *)
0cbda884a7e5 added satisfy_hyps;
wenzelm
parents: 13368
diff changeset
   355
fun satisfy_hyps ths th =
0cbda884a7e5 added satisfy_hyps;
wenzelm
parents: 13368
diff changeset
   356
  implies_elim_list (implies_intr_list (map (#prop o Thm.crep_thm) ths) th) ths;
0cbda884a7e5 added satisfy_hyps;
wenzelm
parents: 13368
diff changeset
   357
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   358
(*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
   359
fun zero_var_indexes th =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   360
    let val {prop,sign,...} = rep_thm th;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   361
        val vars = term_vars prop
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   362
        val bs = foldl add_new_id ([], map (fn Var((a,_),_)=>a) vars)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   363
        val inrs = add_term_tvars(prop,[]);
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   364
        val nms' = rev(foldl add_new_id ([], map (#1 o #1) inrs));
2266
82aef6857c5b Replaced map...~~ by ListPair.map
paulson
parents: 2180
diff changeset
   365
        val tye = ListPair.map (fn ((v,rs),a) => (v, TVar((a,0),rs)))
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   366
                     (inrs, nms')
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   367
        val ctye = map (fn (v,T) => (v,ctyp_of sign T)) tye;
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   368
        fun varpairs([],[]) = []
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   369
          | varpairs((var as Var(v,T)) :: vars, b::bs) =
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   370
                let val T' = typ_subst_TVars tye T
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   371
                in (cterm_of sign (Var(v,T')),
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   372
                    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
   373
                end
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   374
          | varpairs _ = raise TERM("varpairs", []);
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   375
    in Thm.instantiate (ctye, varpairs(vars,rev bs)) th end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   376
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   377
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   378
(*Standard form of object-rule: no hypotheses, Frees, or outer quantifiers;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   379
    all generality expressed by Vars having index 0.*)
10515
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   380
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   381
fun close_derivation thm =
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   382
  if Thm.get_name_tags thm = ("", []) then Thm.name_thm ("", thm)
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   383
  else thm;
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   384
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   385
fun standard' th =
10515
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   386
  let val {maxidx,...} = rep_thm th in
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   387
    th
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   388
    |> implies_intr_hyps
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   389
    |> forall_intr_frees |> forall_elim_vars (maxidx + 1)
8430c8fa8a9f standard: close_derivation;
wenzelm
parents: 10441
diff changeset
   390
    |> strip_shyps_warning
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   391
    |> zero_var_indexes |> Thm.varifyT |> Thm.compress
1218
59ed8ef1a3a1 modified pretty_thm, standard, eq_thm to handle shyps;
wenzelm
parents: 1194
diff changeset
   392
  end;
59ed8ef1a3a1 modified pretty_thm, standard, eq_thm to handle shyps;
wenzelm
parents: 1194
diff changeset
   393
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   394
val standard = close_derivation o standard';
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   395
12005
291593391010 added local_standard;
wenzelm
parents: 11997
diff changeset
   396
fun local_standard th =
12221
cc31140bba16 local_standard: plain strip_shyps instead of strip_shyps_warning;
wenzelm
parents: 12135
diff changeset
   397
  th |> strip_shyps |> zero_var_indexes
12005
291593391010 added local_standard;
wenzelm
parents: 11997
diff changeset
   398
  |> Thm.compress |> close_derivation;
291593391010 added local_standard;
wenzelm
parents: 11997
diff changeset
   399
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   400
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   401
(*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
   402
  reversing that operation.  DOES NOT WORK FOR TYPE VARIABLES.
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   403
  Similar code in type/freeze_thaw*)
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   404
fun freeze_thaw th =
7248
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   405
 let val fth = freezeT th
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   406
     val {prop,sign,...} = rep_thm fth
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   407
 in
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   408
   case term_vars prop of
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   409
       [] => (fth, fn x => x)
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   410
     | vars =>
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   411
         let fun newName (Var(ix,_), (pairs,used)) =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   412
                   let val v = variant used (string_of_indexname ix)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   413
                   in  ((ix,v)::pairs, v::used)  end;
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   414
             val (alist, _) = foldr newName
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   415
                                (vars, ([], add_term_names (prop, [])))
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   416
             fun mk_inst (Var(v,T)) =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   417
                 (cterm_of sign (Var(v,T)),
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   418
                  cterm_of sign (Free(the (assoc(alist,v)), T)))
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   419
             val insts = map mk_inst vars
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   420
             fun thaw th' =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   421
                 th' |> forall_intr_list (map #2 insts)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   422
                     |> forall_elim_list (map #1 insts)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   423
         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
   424
 end;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   425
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   426
7248
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   427
(*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
   428
val rotate_prems = permute_prems 0;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   429
11163
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   430
(* permute prems, where the i-th position in the argument list (counting from 0)
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   431
   gives the position within the original thm to be transferred to position i.
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   432
   Any remaining trailing positions are left unchanged. *)
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   433
val rearrange_prems = let
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   434
  fun rearr new []      thm = thm
11815
ef7619398680 added implies_intr_goals;
wenzelm
parents: 11741
diff changeset
   435
  |   rearr new (p::ps) thm = rearr (new+1)
11163
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   436
     (map (fn q => if new<=q andalso q<p then q+1 else q) ps)
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   437
     (permute_prems (new+1) (new-p) (permute_prems new (p-new) thm))
14732e3eaa6e added rearrange_prems
oheimb
parents: 11120
diff changeset
   438
  in rearr 0 end;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   439
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   440
(*Assume a new formula, read following the same conventions as axioms.
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   441
  Generalizes over Free variables,
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   442
  creates the assumption, and then strips quantifiers.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   443
  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
   444
             [ !(A,P,a)[| ALL x:A. P(x) |] ==> [| P(a) |] ]    *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   445
fun assume_ax thy sP =
6390
5d58c100ca3f qualify Theory.sign_of etc.;
wenzelm
parents: 6086
diff changeset
   446
    let val sign = Theory.sign_of thy
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   447
        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
   448
    in forall_elim_vars 0 (assume (cterm_of sign prop))  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   449
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   450
(*Resolution: exactly one resolvent must be produced.*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   451
fun tha RSN (i,thb) =
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 4057
diff changeset
   452
  case Seq.chop (2, biresolution false [(false,tha)] i thb) of
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   453
      ([th],_) => th
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   454
    | ([],_)   => raise THM("RSN: no unifiers", i, [tha,thb])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   455
    |      _   => raise THM("RSN: multiple unifiers", i, [tha,thb]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   456
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   457
(*resolution: P==>Q, Q==>R gives P==>R. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   458
fun tha RS thb = tha RSN (1,thb);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   459
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   460
(*For joining lists of rules*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   461
fun thas RLN (i,thbs) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   462
  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
   463
      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
   464
  in  List.concat (map resb thbs)  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   465
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   466
fun thas RL thbs = thas RLN (1,thbs);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   467
11
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   468
(*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
   469
  makes proof trees*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   470
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
   471
  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
   472
        | 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
   473
  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
   474
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   475
(*As above, but for rule lists*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   476
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
   477
  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
   478
        | 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
   479
  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
   480
9288
06a55195741b infix 'OF' is a version of 'MRS' with more appropriate argument order;
wenzelm
parents: 8605
diff changeset
   481
(*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
   482
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
   483
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   484
(*compose Q and [...,Qi,Q(i+1),...]==>R to [...,Q(i+1),...]==>R
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   485
  with no lifting or renaming!  Q may contain ==> or meta-quants
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   486
  ALWAYS deletes premise i *)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   487
fun compose(tha,i,thb) =
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 4057
diff changeset
   488
    Seq.list_of (bicompose false (false,tha,0) i thb);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   489
6946
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   490
fun compose_single (tha,i,thb) =
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   491
  (case compose (tha,i,thb) of
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   492
    [th] => th
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   493
  | _ => raise THM ("compose: unique result expected", i, [tha,thb]));
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   494
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   495
(*compose Q and [Q1,Q2,...,Qk]==>R to [Q2,...,Qk]==>R getting unique result*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   496
fun tha COMP thb =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   497
    case compose(tha,1,thb) of
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   498
        [th] => th
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   499
      | _ =>   raise THM("COMP", 1, [tha,thb]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   500
13105
3d1e7a199bdc use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents: 12908
diff changeset
   501
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   502
(** theorem equality **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   503
13105
3d1e7a199bdc use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents: 12908
diff changeset
   504
val eq_thm_sg = Sign.eq_sg o pairself Thm.sign_of_thm;
3d1e7a199bdc use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents: 12908
diff changeset
   505
val eq_thm_prop = op aconv o pairself Thm.prop_of;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   506
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   507
(*Useful "distance" function for BEST_FIRST*)
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   508
val size_of_thm = size_of_term o prop_of;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   509
9829
bf49c3796599 added add_rules, del_rules;
wenzelm
parents: 9554
diff changeset
   510
(*maintain lists of theorems --- preserving canonical order*)
13105
3d1e7a199bdc use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents: 12908
diff changeset
   511
fun del_rules rs rules = Library.gen_rems eq_thm_prop (rules, rs);
9862
96138f29545e improved add_rules;
wenzelm
parents: 9829
diff changeset
   512
fun add_rules rs rules = rs @ del_rules rs rules;
12373
704e50ab65af added add_rule, del_rule;
wenzelm
parents: 12297
diff changeset
   513
val del_rule = del_rules o single;
704e50ab65af added add_rule, del_rule;
wenzelm
parents: 12297
diff changeset
   514
val add_rule = add_rules o single;
13105
3d1e7a199bdc use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents: 12908
diff changeset
   515
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
   516
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   517
1194
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   518
(** 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
   519
    (some) type variable renaming **)
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   520
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   521
 (* 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
   522
    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
   523
    in the term. *)
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   524
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
   525
  | 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
   526
  | 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
   527
  | term_vars' _ = [];
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   528
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   529
fun forall_intr_vars th =
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   530
  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
   531
      val vars = distinct (term_vars' prop);
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   532
  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
   533
13105
3d1e7a199bdc use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents: 12908
diff changeset
   534
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
   535
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   536
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   537
(*** Meta-Rewriting Rules ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   538
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   539
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
   540
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   541
fun store_thm name thm = hd (PureThy.smart_store_thms (name, [thm]));
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   542
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
   543
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
   544
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
   545
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   546
val reflexive_thm =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   547
  let val cx = cterm_of proto_sign (Var(("x",0),TVar(("'a",0),logicS)))
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   548
  in store_standard_thm_open "reflexive" (Thm.reflexive cx) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   549
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   550
val symmetric_thm =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   551
  let val xy = read_prop "x::'a::logic == y"
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   552
  in store_standard_thm_open "symmetric" (Thm.implies_intr_hyps (Thm.symmetric (Thm.assume xy))) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   553
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   554
val transitive_thm =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   555
  let val xy = read_prop "x::'a::logic == y"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   556
      val yz = read_prop "y::'a::logic == z"
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   557
      val xythm = Thm.assume xy and yzthm = Thm.assume yz
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   558
  in store_standard_thm_open "transitive" (Thm.implies_intr yz (Thm.transitive xythm yzthm)) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   559
4679
24917efb31b5 Reorganized simplifier. May now reorient rules.
nipkow
parents: 4610
diff changeset
   560
fun symmetric_fun thm = thm RS symmetric_thm;
24917efb31b5 Reorganized simplifier. May now reorient rules.
nipkow
parents: 4610
diff changeset
   561
11512
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   562
fun extensional eq =
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   563
  let val eq' =
da3a96ab5630 Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents: 11163
diff changeset
   564
    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
   565
  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
   566
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   567
val imp_cong =
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   568
  let
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   569
    val ABC = read_prop "PROP A ==> PROP B == PROP C"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   570
    val AB = read_prop "PROP A ==> PROP B"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   571
    val AC = read_prop "PROP A ==> PROP C"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   572
    val A = read_prop "PROP A"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   573
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   574
    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
   575
      (implies_intr AB (implies_intr A
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   576
        (equal_elim (implies_elim (assume ABC) (assume A))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   577
          (implies_elim (assume AB) (assume A)))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   578
      (implies_intr AC (implies_intr A
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   579
        (equal_elim (symmetric (implies_elim (assume ABC) (assume A)))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   580
          (implies_elim (assume AC) (assume A)))))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   581
  end;
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   582
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   583
val swap_prems_eq =
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   584
  let
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   585
    val ABC = read_prop "PROP A ==> PROP B ==> PROP C"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   586
    val BAC = read_prop "PROP B ==> PROP A ==> PROP C"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   587
    val A = read_prop "PROP A"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   588
    val B = read_prop "PROP B"
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   589
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   590
    store_standard_thm_open "swap_prems_eq" (equal_intr
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   591
      (implies_intr ABC (implies_intr B (implies_intr A
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   592
        (implies_elim (implies_elim (assume ABC) (assume A)) (assume B)))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   593
      (implies_intr BAC (implies_intr A (implies_intr B
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   594
        (implies_elim (implies_elim (assume BAC) (assume B)) (assume A))))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   595
  end;
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   596
9547
8dad21f06b24 more cterm operations: mk_implies, list_implies
paulson
parents: 9460
diff changeset
   597
val refl_implies = reflexive implies;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   598
13325
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   599
fun abs_def thm =
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   600
  let
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   601
    val (_, cvs) = strip_comb (fst (dest_equals (cprop_of thm)));
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   602
    val thm' = foldr (fn (ct, thm) => Thm.abstract_rule
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   603
      (case term_of ct of Var ((a, _), _) => a | Free (a, _) => a | _ => "x")
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   604
        ct thm) (cvs, thm)
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   605
  in transitive
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   606
    (symmetric (eta_conversion (fst (dest_equals (cprop_of thm'))))) thm'
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   607
  end;
5b5e12f0aee0 Added function abs_def.
berghofe
parents: 13198
diff changeset
   608
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   609
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   610
(*** Some useful meta-theorems ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   611
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   612
(*The rule V/V, obtains assumption solving for eresolve_tac*)
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   613
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
   614
val _ = store_thm "_" asm_rl;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   615
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   616
(*Meta-level cut rule: [| V==>W; V |] ==> W *)
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   617
val cut_rl =
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   618
  store_standard_thm_open "cut_rl"
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   619
    (Thm.trivial (read_prop "PROP ?psi ==> PROP ?theta"));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   620
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   621
(*Generalized elim rule for one conclusion; cut_rl with reversed premises:
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   622
     [| PROP V;  PROP V ==> PROP W |] ==> PROP W *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   623
val revcut_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   624
  let val V = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   625
      and VW = read_prop "PROP V ==> PROP W";
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   626
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   627
    store_standard_thm_open "revcut_rl"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   628
      (implies_intr V (implies_intr VW (implies_elim (assume VW) (assume V))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   629
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   630
668
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   631
(*for deleting an unwanted assumption*)
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   632
val thin_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   633
  let val V = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   634
      and W = read_prop "PROP W";
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   635
  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
   636
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   637
(* (!!x. PROP ?V) == PROP ?V       Allows removal of redundant parameters*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   638
val triv_forall_equality =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   639
  let val V  = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   640
      and QV = read_prop "!!x::'a. PROP V"
8086
78e254305ae6 TypeInfer.logicT;
wenzelm
parents: 7898
diff changeset
   641
      and x  = read_cterm proto_sign ("x", TypeInfer.logicT);
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   642
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   643
    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
   644
      (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
   645
        (implies_intr V  (forall_intr x (assume V))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   646
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   647
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   648
(* (PROP ?PhiA ==> PROP ?PhiB ==> PROP ?Psi) ==>
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   649
   (PROP ?PhiB ==> PROP ?PhiA ==> PROP ?Psi)
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   650
   `thm COMP swap_prems_rl' swaps the first two premises of `thm'
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   651
*)
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   652
val swap_prems_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   653
  let val cmajor = read_prop "PROP PhiA ==> PROP PhiB ==> PROP Psi";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   654
      val major = assume cmajor;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   655
      val cminor1 = read_prop "PROP PhiA";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   656
      val minor1 = assume cminor1;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   657
      val cminor2 = read_prop "PROP PhiB";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   658
      val minor2 = assume cminor2;
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   659
  in store_standard_thm_open "swap_prems_rl"
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   660
       (implies_intr cmajor (implies_intr cminor2 (implies_intr cminor1
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   661
         (implies_elim (implies_elim major minor1) minor2))))
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   662
  end;
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   663
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   664
(* [| PROP ?phi ==> PROP ?psi; PROP ?psi ==> PROP ?phi |]
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   665
   ==> PROP ?phi == PROP ?psi
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   666
   Introduction rule for == as a meta-theorem.
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   667
*)
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   668
val equal_intr_rule =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   669
  let val PQ = read_prop "PROP phi ==> PROP psi"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   670
      and QP = read_prop "PROP psi ==> PROP phi"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   671
  in
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   672
    store_standard_thm_open "equal_intr_rule"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   673
      (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
   674
  end;
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   675
13368
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   676
(* [| PROP ?phi == PROP ?psi; PROP ?phi |] ==> PROP ?psi *)
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   677
val equal_elim_rule1 =
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   678
  let val eq = read_prop "PROP phi == PROP psi"
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   679
      and P = read_prop "PROP phi"
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   680
  in store_standard_thm_open "equal_elim_rule1"
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   681
    (Thm.equal_elim (assume eq) (assume P) |> implies_intr_list [eq, P])
8f8ba32d148b added equal_elim_rule1;
wenzelm
parents: 13325
diff changeset
   682
  end;
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   683
12297
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   684
(* "[| PROP ?phi; PROP ?phi; PROP ?psi |] ==> PROP ?psi" *)
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   685
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   686
val remdups_rl =
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   687
  let val P = read_prop "PROP phi" and Q = read_prop "PROP psi";
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   688
  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
   689
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   690
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   691
(*(PROP ?phi ==> (!!x. PROP ?psi(x))) == (!!x. PROP ?phi ==> PROP ?psi(x))
12297
2ce7b42b0a64 added remdups_rl;
wenzelm
parents: 12283
diff changeset
   692
  Rewrite rule for HHF normalization.*)
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   693
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   694
val norm_hhf_eq =
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   695
  let
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   696
    val cert = Thm.cterm_of proto_sign;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   697
    val aT = TFree ("'a", Term.logicS);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   698
    val all = Term.all aT;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   699
    val x = Free ("x", aT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   700
    val phi = Free ("phi", propT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   701
    val psi = Free ("psi", aT --> propT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   702
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   703
    val cx = cert x;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   704
    val cphi = cert phi;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   705
    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
   706
    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
   707
  in
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   708
    Thm.equal_intr
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   709
      (Thm.implies_elim (Thm.assume lhs) (Thm.assume cphi)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   710
        |> Thm.forall_elim cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   711
        |> Thm.implies_intr cphi
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   712
        |> Thm.forall_intr cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   713
        |> Thm.implies_intr lhs)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   714
      (Thm.implies_elim
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   715
          (Thm.assume rhs |> Thm.forall_elim cx) (Thm.assume cphi)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   716
        |> Thm.forall_intr cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   717
        |> Thm.implies_intr cphi
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   718
        |> Thm.implies_intr rhs)
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   719
    |> store_standard_thm_open "norm_hhf_eq"
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   720
  end;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   721
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   722
fun is_norm_hhf tm =
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   723
  let
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   724
    fun is_norm (Const ("==>", _) $ _ $ (Const ("all", _) $ _)) = false
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   725
      | is_norm (t $ u) = is_norm t andalso is_norm u
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   726
      | is_norm (Abs (_, _, t)) = is_norm t
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   727
      | is_norm _ = true;
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   728
  in is_norm (Pattern.beta_eta_contract tm) end;
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   729
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   730
fun norm_hhf sg t =
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   731
  if is_norm_hhf t then t
13198
3e40f48a500f Changed interface of Pattern.rewrite_term.
berghofe
parents: 13105
diff changeset
   732
  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
   733
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   734
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   735
(*** Instantiate theorem th, reading instantiations under signature sg ****)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   736
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   737
(*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
   738
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
   739
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   740
fun read_instantiate_sg sg sinsts th =
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   741
    let val ts = types_sorts th;
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   742
        val used = add_term_tvarnames (prop_of th, []);
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   743
    in  instantiate (read_insts sg ts ts used sinsts) th  end;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   744
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   745
(*Instantiate theorem th, reading instantiations under theory of th*)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   746
fun read_instantiate sinsts th =
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   747
    read_instantiate_sg (#sign (rep_thm th)) sinsts th;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   748
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   749
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   750
(*Left-to-right replacements: tpairs = [...,(vi,ti),...].
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   751
  Instantiates distinct Vars by terms, inferring type instantiations. *)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   752
local
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   753
  fun add_types ((ct,cu), (sign,tye,maxidx)) =
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   754
    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
   755
        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
   756
        val maxi = Int.max(maxidx, Int.max(maxt, maxu));
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   757
        val sign' = Sign.merge(sign, Sign.merge(signt, signu))
12527
d6c91bc3e49c tuned Type.unify;
wenzelm
parents: 12495
diff changeset
   758
        val (tye',maxi') = Type.unify (#tsig(Sign.rep_sg sign')) (tye, maxi) (T, U)
10403
2955ee2424ce Sign.typ_instance;
wenzelm
parents: 9862
diff changeset
   759
          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
   760
    in  (sign', tye', maxi')  end;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   761
in
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   762
fun cterm_instantiate ctpairs0 th =
8406
a217b0cd304d Type.unify and Type.typ_match now use Vartab instead of association lists.
berghofe
parents: 8365
diff changeset
   763
  let val (sign,tye,_) = foldr add_types (ctpairs0, (#sign(rep_thm th), Vartab.empty, 0))
a217b0cd304d Type.unify and Type.typ_match now use Vartab instead of association lists.
berghofe
parents: 8365
diff changeset
   764
      fun instT(ct,cu) = let val inst = subst_TVars_Vartab tye
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   765
                         in (cterm_fun inst ct, cterm_fun inst cu) end
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   766
      fun ctyp2 (ix,T) = (ix, ctyp_of sign T)
8406
a217b0cd304d Type.unify and Type.typ_match now use Vartab instead of association lists.
berghofe
parents: 8365
diff changeset
   767
  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
   768
  handle TERM _ =>
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   769
           raise THM("cterm_instantiate: incompatible signatures",0,[th])
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   770
       | TYPE (msg, _, _) => raise THM(msg, 0, [th])
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   771
end;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   772
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   773
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   774
(** Derived rules mainly for METAHYPS **)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   775
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   776
(*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
   777
fun equal_abs_elim ca eqth =
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   778
  let val {sign=signa, t=a, ...} = rep_cterm ca
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   779
      and combth = combination eqth (reflexive ca)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   780
      val {sign,prop,...} = rep_thm eqth
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   781
      val (abst,absu) = Logic.dest_equals prop
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   782
      val cterm = cterm_of (Sign.merge (sign,signa))
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   783
  in  transitive (symmetric (beta_conversion false (cterm (abst$a))))
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   784
           (transitive combth (beta_conversion false (cterm (absu$a))))
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   785
  end
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   786
  handle THM _ => raise THM("equal_abs_elim", 0, [eqth]);
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   787
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   788
(*Calling equal_abs_elim with multiple terms*)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   789
fun equal_abs_elim_list cts th = foldr (uncurry equal_abs_elim) (rev cts, th);
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   790
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   791
local
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   792
  val alpha = TVar(("'a",0), [])     (*  type ?'a::{}  *)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   793
  fun err th = raise THM("flexpair_inst: ", 0, [th])
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   794
  fun flexpair_inst def th =
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   795
    let val {prop = Const _ $ t $ u,  sign,...} = rep_thm th
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   796
        val cterm = cterm_of sign
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   797
        fun cvar a = cterm(Var((a,0),alpha))
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   798
        val def' = cterm_instantiate [(cvar"t", cterm t), (cvar"u", cterm u)]
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   799
                   def
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   800
    in  equal_elim def' th
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   801
    end
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   802
    handle THM _ => err th | Bind => err th
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   803
in
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   804
val flexpair_intr = flexpair_inst (symmetric ProtoPure.flexpair_def)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   805
and flexpair_elim = flexpair_inst ProtoPure.flexpair_def
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   806
end;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   807
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   808
(*Version for flexflex pairs -- this supports lifting.*)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   809
fun flexpair_abs_elim_list cts =
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   810
    flexpair_intr o equal_abs_elim_list cts o flexpair_elim;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   811
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   812
10667
75a1c9575edb eliminated GOAL syntax;
wenzelm
parents: 10515
diff changeset
   813
(*** Goal (PROP A) <==> PROP A ***)
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   814
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   815
local
10667
75a1c9575edb eliminated GOAL syntax;
wenzelm
parents: 10515
diff changeset
   816
  val cert = Thm.cterm_of proto_sign;
75a1c9575edb eliminated GOAL syntax;
wenzelm
parents: 10515
diff changeset
   817
  val A = Free ("A", propT);
75a1c9575edb eliminated GOAL syntax;
wenzelm
parents: 10515
diff changeset
   818
  val G = Logic.mk_goal A;
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   819
  val (G_def, _) = freeze_thaw ProtoPure.Goal_def;
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   820
in
11741
470e608d7a74 generic theorem kinds ("theorem", "lemma" etc.);
wenzelm
parents: 11512
diff changeset
   821
  val triv_goal = store_thm "triv_goal" (kind_rule internalK (standard
10667
75a1c9575edb eliminated GOAL syntax;
wenzelm
parents: 10515
diff changeset
   822
      (Thm.equal_elim (Thm.symmetric G_def) (Thm.assume (cert A)))));
11741
470e608d7a74 generic theorem kinds ("theorem", "lemma" etc.);
wenzelm
parents: 11512
diff changeset
   823
  val rev_triv_goal = store_thm "rev_triv_goal" (kind_rule internalK (standard
10667
75a1c9575edb eliminated GOAL syntax;
wenzelm
parents: 10515
diff changeset
   824
      (Thm.equal_elim G_def (Thm.assume (cert G)))));
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   825
end;
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   826
9460
53d7ad5bec39 Logic.goal_const;
wenzelm
parents: 9455
diff changeset
   827
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
   828
fun assume_goal ct = Thm.assume (mk_cgoal ct) RS rev_triv_goal;
d824a86266a9 added mk_cgoal, assume_goal;
wenzelm
parents: 6946
diff changeset
   829
11815
ef7619398680 added implies_intr_goals;
wenzelm
parents: 11741
diff changeset
   830
fun implies_intr_goals cprops thm =
ef7619398680 added implies_intr_goals;
wenzelm
parents: 11741
diff changeset
   831
  implies_elim_list (implies_intr_list cprops thm) (map assume_goal cprops)
ef7619398680 added implies_intr_goals;
wenzelm
parents: 11741
diff changeset
   832
  |> implies_intr_list (map mk_cgoal cprops);
ef7619398680 added implies_intr_goals;
wenzelm
parents: 11741
diff changeset
   833
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   834
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   835
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   836
(** variations on instantiate **)
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   837
8550
b44c185f8018 new meta-rule "inst", a shorthand for read_instantiate_sg
paulson
parents: 8496
diff changeset
   838
(*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
   839
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
   840
b44c185f8018 new meta-rule "inst", a shorthand for read_instantiate_sg
paulson
parents: 8496
diff changeset
   841
12495
89f97fa683f5 export add_tvarsT etc.;
wenzelm
parents: 12373
diff changeset
   842
(* collect vars in left-to-right order *)
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   843
12495
89f97fa683f5 export add_tvarsT etc.;
wenzelm
parents: 12373
diff changeset
   844
fun tvars_of_terms ts = rev (foldl Term.add_tvars ([], ts));
89f97fa683f5 export add_tvarsT etc.;
wenzelm
parents: 12373
diff changeset
   845
fun vars_of_terms ts = rev (foldl Term.add_vars ([], ts));
5903
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   846
12800
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   847
fun tvars_of thm = tvars_of_terms [prop_of thm];
abcf9fd6ee65 added is_norm_hhf (from logic.ML);
wenzelm
parents: 12756
diff changeset
   848
fun vars_of thm = vars_of_terms [prop_of thm];
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   849
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   850
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   851
(* instantiate by left-to-right occurrence of variables *)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   852
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   853
fun instantiate' cTs cts thm =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   854
  let
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   855
    fun err msg =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   856
      raise TYPE ("instantiate': " ^ msg,
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   857
        mapfilter (apsome Thm.typ_of) cTs,
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   858
        mapfilter (apsome Thm.term_of) cts);
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   859
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   860
    fun inst_of (v, ct) =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   861
      (Thm.cterm_of (#sign (Thm.rep_cterm ct)) (Var v), ct)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   862
        handle TYPE (msg, _, _) => err msg;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   863
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   864
    fun zip_vars _ [] = []
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   865
      | zip_vars (_ :: vs) (None :: opt_ts) = zip_vars vs opt_ts
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   866
      | zip_vars (v :: vs) (Some t :: opt_ts) = (v, t) :: zip_vars vs opt_ts
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   867
      | zip_vars [] _ = err "more instantiations than variables in thm";
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   868
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   869
    (*instantiate types first!*)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   870
    val thm' =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   871
      if forall is_none cTs then thm
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   872
      else Thm.instantiate (zip_vars (map fst (tvars_of thm)) cTs, []) thm;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   873
    in
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   874
      if forall is_none cts then thm'
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   875
      else Thm.instantiate ([], map inst_of (zip_vars (vars_of thm') cts)) thm'
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   876
    end;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   877
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   878
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   879
(* unvarify(T) *)
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   880
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   881
(*assume thm in standard form, i.e. no frees, 0 var indexes*)
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   882
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   883
fun unvarifyT thm =
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   884
  let
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   885
    val cT = Thm.ctyp_of (Thm.sign_of_thm thm);
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   886
    val tfrees = map (fn ((x, _), S) => Some (cT (TFree (x, S)))) (tvars_of thm);
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   887
  in instantiate' tfrees [] thm end;
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   888
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   889
fun unvarify raw_thm =
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   890
  let
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   891
    val thm = unvarifyT raw_thm;
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   892
    val ct = Thm.cterm_of (Thm.sign_of_thm thm);
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   893
    val frees = map (fn ((x, _), T) => Some (ct (Free (x, T)))) (vars_of thm);
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   894
  in instantiate' [] frees thm end;
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   895
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   896
8605
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   897
(* tvars_intr_list *)
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   898
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   899
fun tfrees_of thm =
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   900
  let val {hyps, prop, ...} = Thm.rep_thm thm
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   901
  in foldr Term.add_term_tfree_names (prop :: hyps, []) end;
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   902
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   903
fun tvars_intr_list tfrees thm =
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   904
  Thm.varifyT' (tfrees_of thm \\ tfrees) thm;
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   905
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   906
6435
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   907
(* increment var indexes *)
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   908
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   909
fun incr_indexes_wrt is cTs cts thms =
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   910
  let
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   911
    val maxidx =
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   912
      foldl Int.max (~1, is @
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   913
        map (maxidx_of_typ o #T o Thm.rep_ctyp) cTs @
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   914
        map (#maxidx o Thm.rep_cterm) cts @
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   915
        map (#maxidx o Thm.rep_thm) thms);
10414
f7aeff3e9e1e - new theorems imp_cong and swap_prems_eq
berghofe
parents: 10403
diff changeset
   916
  in Thm.incr_indexes (maxidx + 1) end;
6435
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   917
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   918
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   919
(* freeze_all *)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   920
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   921
(*freeze all (T)Vars; assumes thm in standard form*)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   922
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   923
fun freeze_all_TVars thm =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   924
  (case tvars_of thm of
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   925
    [] => thm
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   926
  | tvars =>
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   927
      let val cert = Thm.ctyp_of (Thm.sign_of_thm thm)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   928
      in instantiate' (map (fn ((x, _), S) => Some (cert (TFree (x, S)))) tvars) [] thm end);
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   929
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   930
fun freeze_all_Vars thm =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   931
  (case vars_of thm of
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   932
    [] => thm
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   933
  | vars =>
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   934
      let val cert = Thm.cterm_of (Thm.sign_of_thm thm)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   935
      in instantiate' [] (map (fn ((x, _), T) => Some (cert (Free (x, T)))) vars) thm end);
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   936
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   937
val freeze_all = freeze_all_Vars o freeze_all_TVars;
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   938
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   939
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   940
(* mk_triv_goal *)
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   941
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   942
(*make an initial proof state, "PROP A ==> (PROP A)" *)
5311
f3f71669878e Rule mk_triv_goal for making instances of triv_goal
paulson
parents: 5079
diff changeset
   943
fun mk_triv_goal ct = instantiate' [] [Some ct] triv_goal;
f3f71669878e Rule mk_triv_goal for making instances of triv_goal
paulson
parents: 5079
diff changeset
   944
11975
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   945
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   946
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   947
(** meta-level conjunction **)
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   948
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   949
local
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   950
  val A = read_prop "PROP A";
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   951
  val B = read_prop "PROP B";
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   952
  val C = read_prop "PROP C";
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   953
  val ABC = read_prop "PROP A ==> PROP B ==> PROP C";
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   954
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   955
  val proj1 =
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   956
    forall_intr_list [A, B] (implies_intr_list [A, B] (Thm.assume A))
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   957
    |> forall_elim_vars 0;
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   958
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   959
  val proj2 =
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   960
    forall_intr_list [A, B] (implies_intr_list [A, B] (Thm.assume B))
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   961
    |> forall_elim_vars 0;
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   962
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   963
  val conj_intr_rule =
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   964
    forall_intr_list [A, B] (implies_intr_list [A, B]
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   965
      (Thm.forall_intr C (Thm.implies_intr ABC
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   966
        (implies_elim_list (Thm.assume ABC) [Thm.assume A, Thm.assume B]))))
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   967
    |> forall_elim_vars 0;
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   968
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   969
  val incr = incr_indexes_wrt [] [] [];
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   970
in
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   971
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   972
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
   973
08bf3d911968 conj_intr_list and conj_elim_precise: cover 0 conjuncts;
wenzelm
parents: 12725
diff changeset
   974
fun conj_intr_list [] = asm_rl
08bf3d911968 conj_intr_list and conj_elim_precise: cover 0 conjuncts;
wenzelm
parents: 12725
diff changeset
   975
  | conj_intr_list ths = foldr1 (uncurry conj_intr) ths;
11975
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   976
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   977
fun conj_elim th =
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   978
  let val th' = forall_elim_var (#maxidx (Thm.rep_thm th) + 1) th
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   979
  in (incr [th'] proj1 COMP th', incr [th'] proj2 COMP th') end;
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   980
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   981
fun conj_elim_list th =
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   982
  let val (th1, th2) = conj_elim th
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   983
  in conj_elim_list th1 @ conj_elim_list th2 end handle THM _ => [th];
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   984
12756
08bf3d911968 conj_intr_list and conj_elim_precise: cover 0 conjuncts;
wenzelm
parents: 12725
diff changeset
   985
fun conj_elim_precise 0 _ = []
08bf3d911968 conj_intr_list and conj_elim_precise: cover 0 conjuncts;
wenzelm
parents: 12725
diff changeset
   986
  | conj_elim_precise 1 th = [th]
12135
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   987
  | conj_elim_precise n th =
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   988
      let val (th1, th2) = conj_elim th
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   989
      in th1 :: conj_elim_precise (n - 1) th2 end;
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   990
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   991
val conj_intr_thm = store_standard_thm_open "conjunctionI"
e370e5d469c2 added conj_elim_precise, conj_intr_thm;
wenzelm
parents: 12126
diff changeset
   992
  (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
   993
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   994
end;
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   995
11975
129c6679e8c4 rules for meta-level conjunction;
wenzelm
parents: 11960
diff changeset
   996
end;
5903
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   997
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   998
structure BasicDrule: BASIC_DRULE = Drule;
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   999
open BasicDrule;