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 skip_flexpairs    : cterm -> cterm
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  val strip_imp_prems   : cterm -> cterm list
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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 forall_elim_vars_safe  : 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 rotate_prems      : int -> 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 weak_eq_thm       : thm * thm -> bool
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  val eq_thm_sg         : 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 rewrite_rule_aux  : (meta_simpset -> thm -> thm option) -> thm list -> thm -> thm
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  val rewrite_thm       : bool * bool * bool
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                          -> (meta_simpset -> thm -> thm option)
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                          -> meta_simpset -> thm -> thm
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  val rewrite_cterm     : bool * bool * bool
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                          -> (meta_simpset -> thm -> thm option)
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                          -> meta_simpset -> cterm -> thm
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  val rewrite_goals_rule_aux: (meta_simpset -> thm -> thm option) -> thm list -> thm -> thm
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  val rewrite_goal_rule : bool* bool * bool
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                          -> (meta_simpset -> thm -> thm option)
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                          -> meta_simpset -> int -> thm -> 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 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      : int -> 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 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 tag_lemma         : 'a attribute
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  val tag_assumption    : 'a attribute
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  val tag_internal      : 'a attribute
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  val has_internal	: tag list -> bool
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  val compose_single    : thm * int * thm -> thm
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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 triv_goal         : thm
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  val rev_triv_goal     : 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 mk_cgoal          : cterm -> cterm
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  val assume_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
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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) = dest_comb ct
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            in  (#2 (dest_comb ct1), ct2)  end
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      | _ => raise TERM ("dest_implies", [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 (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) = capply (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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(** 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 val {tsig,...} = Sign.rep_sg sign
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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 Type.typ_instance(tsig,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;
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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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(** 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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fun tag_lemma x = simple_tag "lemma" x;
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fun tag_assumption x = simple_tag "assumption" x;
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val internal_tag = ("internal", []);
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fun tag_internal x = tag internal_tag x;
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fun has_internal tags = exists (equal internal_tag) tags;
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(** Standardization of rules **)
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(*Strip extraneous shyps as far as possible*)
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fun strip_shyps_warning thm =
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  let
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    val str_of_sort = Sign.str_of_sort (Thm.sign_of_thm thm);
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    val thm' = Thm.strip_shyps thm;
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    val xshyps = Thm.extra_shyps thm';
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  in
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    if null xshyps then ()
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    else warning ("Pending sort hypotheses: " ^ commas (map str_of_sort xshyps));
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    thm'
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  end;
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(*Generalization over a list of variables, IGNORING bad ones*)
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fun forall_intr_list [] th = th
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  | forall_intr_list (y::ys) th =
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        let val gth = forall_intr_list ys th
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        in  forall_intr y gth   handle THM _ =>  gth  end;
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(*Generalization over all suitable Free variables*)
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fun forall_intr_frees th =
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    let val {prop,sign,...} = rep_thm th
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    in  forall_intr_list
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         (map (cterm_of sign) (sort (make_ord atless) (term_frees prop)))
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         th
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    end;
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val forall_elim_var = PureThy.forall_elim_var;
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val forall_elim_vars = PureThy.forall_elim_vars;
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fun forall_elim_vars_safe th =
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  forall_elim_vars_safe (forall_elim_var (#maxidx (Thm.rep_thm th) + 1) th)
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    handle THM _ => th;
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(*Specialization over a list of cterms*)
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fun forall_elim_list cts th = foldr (uncurry forall_elim) (rev cts, th);
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(* maps [A1,...,An], B   to   [| A1;...;An |] ==> B  *)
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fun implies_intr_list cAs th = foldr (uncurry implies_intr) (cAs,th);
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(* maps [| A1;...;An |] ==> B and [A1,...,An]   to   B *)
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fun implies_elim_list impth ths = foldl (uncurry implies_elim) (impth,ths);
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   303
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(*Reset Var indexes to zero, renaming to preserve distinctness*)
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   305
fun zero_var_indexes th =
0
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   306
    let val {prop,sign,...} = rep_thm th;
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        val vars = term_vars prop
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        val bs = foldl add_new_id ([], map (fn Var((a,_),_)=>a) vars)
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   309
        val inrs = add_term_tvars(prop,[]);
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   310
        val nms' = rev(foldl add_new_id ([], map (#1 o #1) inrs));
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82aef6857c5b Replaced map...~~ by ListPair.map
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   311
        val tye = ListPair.map (fn ((v,rs),a) => (v, TVar((a,0),rs)))
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   312
                     (inrs, nms')
252
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   313
        val ctye = map (fn (v,T) => (v,ctyp_of sign T)) tye;
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   314
        fun varpairs([],[]) = []
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   315
          | varpairs((var as Var(v,T)) :: vars, b::bs) =
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   316
                let val T' = typ_subst_TVars tye T
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   317
                in (cterm_of sign (Var(v,T')),
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   318
                    cterm_of sign (Var((b,0),T'))) :: varpairs(vars,bs)
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   319
                end
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   320
          | varpairs _ = raise TERM("varpairs", []);
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29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
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    in Thm.instantiate (ctye, varpairs(vars,rev bs)) th end;
0
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   323
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   324
(*Standard form of object-rule: no hypotheses, Frees, or outer quantifiers;
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   325
    all generality expressed by Vars having index 0.*)
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   326
fun standard th =
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   327
  let val {maxidx,...} = rep_thm th
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wenzelm
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   328
  in
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59ed8ef1a3a1 modified pretty_thm, standard, eq_thm to handle shyps;
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   329
    th |> implies_intr_hyps
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2ab32768c996 Now "standard" compresses theorems (for sharing).
paulson
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   330
       |> forall_intr_frees |> forall_elim_vars (maxidx + 1)
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102a4b6b83a6 strip_shyps_warning;
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       |> strip_shyps_warning
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2ab32768c996 Now "standard" compresses theorems (for sharing).
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       |> zero_var_indexes |> Thm.varifyT |> Thm.compress
1218
59ed8ef1a3a1 modified pretty_thm, standard, eq_thm to handle shyps;
wenzelm
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   333
  end;
59ed8ef1a3a1 modified pretty_thm, standard, eq_thm to handle shyps;
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parents: 1194
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   334
0
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   336
(*Convert all Vars in a theorem to Frees.  Also return a function for
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
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  reversing that operation.  DOES NOT WORK FOR TYPE VARIABLES.
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
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  Similar code in type/freeze_thaw*)
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
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   339
fun freeze_thaw th =
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 let val fth = freezeT th
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     val {prop,sign,...} = rep_thm fth
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
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 in
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paulson
parents: 6995
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   case term_vars prop of
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       [] => (fth, fn x => x)
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paulson
parents: 6995
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   345
     | vars =>
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efbcec3eb02f added freeze_all;
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   346
         let fun newName (Var(ix,_), (pairs,used)) =
efbcec3eb02f added freeze_all;
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                   let val v = variant used (string_of_indexname ix)
efbcec3eb02f added freeze_all;
wenzelm
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                   in  ((ix,v)::pairs, v::used)  end;
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wenzelm
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   349
             val (alist, _) = foldr newName
efbcec3eb02f added freeze_all;
wenzelm
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   350
                                (vars, ([], add_term_names (prop, [])))
efbcec3eb02f added freeze_all;
wenzelm
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   351
             fun mk_inst (Var(v,T)) =
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wenzelm
parents: 8129
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                 (cterm_of sign (Var(v,T)),
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
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   353
                  cterm_of sign (Free(the (assoc(alist,v)), T)))
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
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   354
             val insts = map mk_inst vars
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
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   355
             fun thaw th' =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
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   356
                 th' |> forall_intr_list (map #2 insts)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
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   357
                     |> forall_elim_list (map #1 insts)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
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   358
         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
   359
 end;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   360
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   361
7248
322151fe6f02 new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents: 6995
diff changeset
   362
(*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
   363
val rotate_prems = permute_prems 0;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   364
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   365
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   366
(*Assume a new formula, read following the same conventions as axioms.
0
a5a9c433f639 Initial revision
clasohm
parents:
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   367
  Generalizes over Free variables,
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clasohm
parents:
diff changeset
   368
  creates the assumption, and then strips quantifiers.
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clasohm
parents:
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   369
  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
   370
             [ !(A,P,a)[| ALL x:A. P(x) |] ==> [| P(a) |] ]    *)
0
a5a9c433f639 Initial revision
clasohm
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diff changeset
   371
fun assume_ax thy sP =
6390
5d58c100ca3f qualify Theory.sign_of etc.;
wenzelm
parents: 6086
diff changeset
   372
    let val sign = Theory.sign_of thy
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   373
        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
   374
    in forall_elim_vars 0 (assume (cterm_of sign prop))  end;
0
a5a9c433f639 Initial revision
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diff changeset
   375
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   376
(*Resolution: exactly one resolvent must be produced.*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   377
fun tha RSN (i,thb) =
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 4057
diff changeset
   378
  case Seq.chop (2, biresolution false [(false,tha)] i thb) of
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   379
      ([th],_) => th
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clasohm
parents:
diff changeset
   380
    | ([],_)   => raise THM("RSN: no unifiers", i, [tha,thb])
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clasohm
parents:
diff changeset
   381
    |      _   => raise THM("RSN: multiple unifiers", i, [tha,thb]);
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clasohm
parents:
diff changeset
   382
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   383
(*resolution: P==>Q, Q==>R gives P==>R. *)
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clasohm
parents:
diff changeset
   384
fun tha RS thb = tha RSN (1,thb);
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clasohm
parents:
diff changeset
   385
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   386
(*For joining lists of rules*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   387
fun thas RLN (i,thbs) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   388
  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
   389
      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
   390
  in  List.concat (map resb thbs)  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   391
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   392
fun thas RL thbs = thas RLN (1,thbs);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   393
11
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   394
(*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
   395
  makes proof trees*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   396
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
   397
  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
   398
        | 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
   399
  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
   400
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   401
(*As above, but for rule lists*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   402
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
   403
  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
   404
        | 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
   405
  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
   406
9288
06a55195741b infix 'OF' is a version of 'MRS' with more appropriate argument order;
wenzelm
parents: 8605
diff changeset
   407
(*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
   408
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
   409
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   410
(*compose Q and [...,Qi,Q(i+1),...]==>R to [...,Q(i+1),...]==>R
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   411
  with no lifting or renaming!  Q may contain ==> or meta-quants
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   412
  ALWAYS deletes premise i *)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   413
fun compose(tha,i,thb) =
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 4057
diff changeset
   414
    Seq.list_of (bicompose false (false,tha,0) i thb);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   415
6946
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   416
fun compose_single (tha,i,thb) =
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   417
  (case compose (tha,i,thb) of
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   418
    [th] => th
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   419
  | _ => raise THM ("compose: unique result expected", i, [tha,thb]));
309276732ee1 added compose_single;
wenzelm
parents: 6930
diff changeset
   420
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   421
(*compose Q and [Q1,Q2,...,Qk]==>R to [Q2,...,Qk]==>R getting unique result*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   422
fun tha COMP thb =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   423
    case compose(tha,1,thb) of
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   424
        [th] => th
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   425
      | _ =>   raise THM("COMP", 1, [tha,thb]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   426
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   427
(** theorem equality **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   428
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   429
(*Do the two theorems have the same signature?*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   430
fun eq_thm_sg (th1,th2) = Sign.eq_sg(#sign(rep_thm th1), #sign(rep_thm th2));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   431
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   432
(*Useful "distance" function for BEST_FIRST*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   433
val size_of_thm = size_of_term o #prop o rep_thm;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   434
9829
bf49c3796599 added add_rules, del_rules;
wenzelm
parents: 9554
diff changeset
   435
(*maintain lists of theorems --- preserving canonical order*)
bf49c3796599 added add_rules, del_rules;
wenzelm
parents: 9554
diff changeset
   436
val add_rules = Library.generic_extend Thm.eq_thm I I;
bf49c3796599 added add_rules, del_rules;
wenzelm
parents: 9554
diff changeset
   437
fun del_rules rs rules = Library.gen_rems Thm.eq_thm (rules, rs);
bf49c3796599 added add_rules, del_rules;
wenzelm
parents: 9554
diff changeset
   438
fun merge_rules (rules1, rules2) = Library.generic_merge Thm.eq_thm I I rules1 rules2;
bf49c3796599 added add_rules, del_rules;
wenzelm
parents: 9554
diff changeset
   439
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   440
1194
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   441
(** 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
   442
    (some) type variable renaming **)
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   443
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   444
 (* 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
   445
    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
   446
    in the term. *)
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   447
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
   448
  | 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
   449
  | 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
   450
  | term_vars' _ = [];
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   451
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   452
fun forall_intr_vars th =
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   453
  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
   454
      val vars = distinct (term_vars' prop);
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   455
  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
   456
1237
45ac644b0052 adapted to new version of shyps-stuff;
wenzelm
parents: 1218
diff changeset
   457
fun weak_eq_thm (tha,thb) =
1194
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   458
    eq_thm(forall_intr_vars (freezeT tha), forall_intr_vars (freezeT thb));
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   459
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   460
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   461
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   462
(*** Meta-Rewriting Rules ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   463
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   464
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
   465
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   466
fun store_thm name thm = hd (PureThy.smart_store_thms (name, [thm]));
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   467
fun store_standard_thm name thm = store_thm name (standard thm);
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   468
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   469
val reflexive_thm =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   470
  let val cx = cterm_of proto_sign (Var(("x",0),TVar(("'a",0),logicS)))
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   471
  in store_standard_thm "reflexive" (Thm.reflexive cx) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   472
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   473
val symmetric_thm =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   474
  let val xy = read_prop "x::'a::logic == y"
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   475
  in store_standard_thm "symmetric" (Thm.implies_intr_hyps (Thm.symmetric (Thm.assume xy))) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   476
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   477
val transitive_thm =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   478
  let val xy = read_prop "x::'a::logic == y"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   479
      val yz = read_prop "y::'a::logic == z"
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   480
      val xythm = Thm.assume xy and yzthm = Thm.assume yz
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   481
  in store_standard_thm "transitive" (Thm.implies_intr yz (Thm.transitive xythm yzthm)) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   482
4679
24917efb31b5 Reorganized simplifier. May now reorient rules.
nipkow
parents: 4610
diff changeset
   483
fun symmetric_fun thm = thm RS symmetric_thm;
24917efb31b5 Reorganized simplifier. May now reorient rules.
nipkow
parents: 4610
diff changeset
   484
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   485
(** Below, a "conversion" has type cterm -> thm **)
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   486
9547
8dad21f06b24 more cterm operations: mk_implies, list_implies
paulson
parents: 9460
diff changeset
   487
val refl_implies = reflexive implies;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   488
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   489
(*In [A1,...,An]==>B, rewrite the selected A's only -- for rewrite_goals_tac*)
214
ed6a3e2b1a33 added new parameter to the simplification tactics which indicates if
nipkow
parents: 211
diff changeset
   490
(*Do not rewrite flex-flex pairs*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   491
fun goals_conv pred cv =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   492
  let fun gconv i ct =
2004
3411fe560611 New operations on cterms. Now same names as in Logic
paulson
parents: 1906
diff changeset
   493
        let val (A,B) = dest_implies ct
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   494
            val (thA,j) = case term_of A of
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   495
                  Const("=?=",_)$_$_ => (reflexive A, i)
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   496
                | _ => (if pred i then cv A else reflexive A, i+1)
2004
3411fe560611 New operations on cterms. Now same names as in Logic
paulson
parents: 1906
diff changeset
   497
        in  combination (combination refl_implies thA) (gconv j B) end
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   498
        handle TERM _ => reflexive ct
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   499
  in gconv 1 end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   500
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   501
(*Use a conversion to transform a theorem*)
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   502
fun fconv_rule cv th = equal_elim (cv (cprop_of th)) th;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   503
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   504
(*rewriting conversion*)
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   505
fun rew_conv mode prover mss = rewrite_cterm mode mss prover;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   506
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   507
(*Rewrite a theorem*)
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   508
fun rewrite_rule_aux _ [] = (fn th => th)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   509
  | rewrite_rule_aux prover thms =
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   510
      fconv_rule (rew_conv (true,false,false) prover (Thm.mss_of thms));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   511
3555
5a720f6b9f38 added rewrite_thm;
wenzelm
parents: 3530
diff changeset
   512
fun rewrite_thm mode prover mss = fconv_rule (rew_conv mode prover mss);
5079
2a8ed71f791f added rewrite_cterm;
wenzelm
parents: 4789
diff changeset
   513
fun rewrite_cterm mode prover mss = Thm.rewrite_cterm mode mss prover;
3555
5a720f6b9f38 added rewrite_thm;
wenzelm
parents: 3530
diff changeset
   514
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   515
(*Rewrite the subgoals of a proof state (represented by a theorem) *)
3575
4e9beacb5339 improved rewrite_thm / rewrite_goals to handle conditional eqns;
wenzelm
parents: 3555
diff changeset
   516
fun rewrite_goals_rule_aux _ []   th = th
4e9beacb5339 improved rewrite_thm / rewrite_goals to handle conditional eqns;
wenzelm
parents: 3555
diff changeset
   517
  | rewrite_goals_rule_aux prover thms th =
4713
bea2ab2e360b New simplifier flag for mutual simplification.
nipkow
parents: 4691
diff changeset
   518
      fconv_rule (goals_conv (K true) (rew_conv (true, true, false) prover
3575
4e9beacb5339 improved rewrite_thm / rewrite_goals to handle conditional eqns;
wenzelm
parents: 3555
diff changeset
   519
        (Thm.mss_of thms))) th;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   520
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   521
(*Rewrite the subgoal of a proof state (represented by a theorem) *)
214
ed6a3e2b1a33 added new parameter to the simplification tactics which indicates if
nipkow
parents: 211
diff changeset
   522
fun rewrite_goal_rule mode prover mss i thm =
ed6a3e2b1a33 added new parameter to the simplification tactics which indicates if
nipkow
parents: 211
diff changeset
   523
  if 0 < i  andalso  i <= nprems_of thm
ed6a3e2b1a33 added new parameter to the simplification tactics which indicates if
nipkow
parents: 211
diff changeset
   524
  then fconv_rule (goals_conv (fn j => j=i) (rew_conv mode prover mss)) thm
ed6a3e2b1a33 added new parameter to the simplification tactics which indicates if
nipkow
parents: 211
diff changeset
   525
  else raise THM("rewrite_goal_rule",i,[thm]);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   526
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   527
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   528
(*** Some useful meta-theorems ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   529
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   530
(*The rule V/V, obtains assumption solving for eresolve_tac*)
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   531
val asm_rl = store_standard_thm "asm_rl" (Thm.trivial (read_prop "PROP ?psi"));
7380
2bcee6a460d8 thm "_" = asm_rl;
wenzelm
parents: 7248
diff changeset
   532
val _ = store_thm "_" asm_rl;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   533
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   534
(*Meta-level cut rule: [| V==>W; V |] ==> W *)
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   535
val cut_rl =
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   536
  store_standard_thm "cut_rl"
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   537
    (Thm.trivial (read_prop "PROP ?psi ==> PROP ?theta"));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   538
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   539
(*Generalized elim rule for one conclusion; cut_rl with reversed premises:
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   540
     [| PROP V;  PROP V ==> PROP W |] ==> PROP W *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   541
val revcut_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   542
  let val V = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   543
      and VW = read_prop "PROP V ==> PROP W";
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   544
  in
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   545
    store_standard_thm "revcut_rl"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   546
      (implies_intr V (implies_intr VW (implies_elim (assume VW) (assume V))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   547
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   548
668
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   549
(*for deleting an unwanted assumption*)
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   550
val thin_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   551
  let val V = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   552
      and W = read_prop "PROP W";
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   553
  in  store_standard_thm "thin_rl" (implies_intr V (implies_intr W (assume W)))
668
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   554
  end;
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   555
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   556
(* (!!x. PROP ?V) == PROP ?V       Allows removal of redundant parameters*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   557
val triv_forall_equality =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   558
  let val V  = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   559
      and QV = read_prop "!!x::'a. PROP V"
8086
78e254305ae6 TypeInfer.logicT;
wenzelm
parents: 7898
diff changeset
   560
      and x  = read_cterm proto_sign ("x", TypeInfer.logicT);
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   561
  in
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   562
    store_standard_thm "triv_forall_equality"
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   563
      (standard (equal_intr (implies_intr QV (forall_elim x (assume QV)))
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   564
        (implies_intr V  (forall_intr x (assume V)))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   565
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   566
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   567
(* (PROP ?PhiA ==> PROP ?PhiB ==> PROP ?Psi) ==>
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   568
   (PROP ?PhiB ==> PROP ?PhiA ==> PROP ?Psi)
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   569
   `thm COMP swap_prems_rl' swaps the first two premises of `thm'
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   570
*)
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   571
val swap_prems_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   572
  let val cmajor = read_prop "PROP PhiA ==> PROP PhiB ==> PROP Psi";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   573
      val major = assume cmajor;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   574
      val cminor1 = read_prop "PROP PhiA";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   575
      val minor1 = assume cminor1;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   576
      val cminor2 = read_prop "PROP PhiB";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   577
      val minor2 = assume cminor2;
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   578
  in store_standard_thm "swap_prems_rl"
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   579
       (implies_intr cmajor (implies_intr cminor2 (implies_intr cminor1
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   580
         (implies_elim (implies_elim major minor1) minor2))))
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   581
  end;
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   582
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   583
(* [| PROP ?phi ==> PROP ?psi; PROP ?psi ==> PROP ?phi |]
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   584
   ==> PROP ?phi == PROP ?psi
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   585
   Introduction rule for == as a meta-theorem.
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   586
*)
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   587
val equal_intr_rule =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   588
  let val PQ = read_prop "PROP phi ==> PROP psi"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   589
      and QP = read_prop "PROP psi ==> PROP phi"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   590
  in
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   591
    store_standard_thm "equal_intr_rule"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   592
      (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
   593
  end;
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   594
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   595
9554
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   596
(*(PROP ?phi ==> (!!x. PROP ?psi(x))) == (!!x. PROP ?phi ==> PROP ?psi(x))
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   597
  Rewrite rule for HHF normalization.
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   598
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   599
  Note: the syntax of ProtoPure is insufficient to handle this
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   600
  statement; storing it would be asking for trouble, e.g. when someone
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   601
  tries to print the theory later.
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   602
*)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   603
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   604
val norm_hhf_eq =
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   605
  let
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   606
    val cert = Thm.cterm_of proto_sign;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   607
    val aT = TFree ("'a", Term.logicS);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   608
    val all = Term.all aT;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   609
    val x = Free ("x", aT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   610
    val phi = Free ("phi", propT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   611
    val psi = Free ("psi", aT --> propT);
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   612
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   613
    val cx = cert x;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   614
    val cphi = cert phi;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   615
    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
   616
    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
   617
  in
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   618
    Thm.equal_intr
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   619
      (Thm.implies_elim (Thm.assume lhs) (Thm.assume cphi)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   620
        |> Thm.forall_elim cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   621
        |> Thm.implies_intr cphi
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   622
        |> Thm.forall_intr cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   623
        |> Thm.implies_intr lhs)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   624
      (Thm.implies_elim
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   625
          (Thm.assume rhs |> Thm.forall_elim cx) (Thm.assume cphi)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   626
        |> Thm.forall_intr cx
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   627
        |> Thm.implies_intr cphi
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   628
        |> Thm.implies_intr rhs)
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   629
    |> standard |> curry Thm.name_thm "ProtoPure.norm_hhf_eq"
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   630
  end;
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   631
1b0f02abbde8 added forall_elim_vars_safe, norm_hhf_eq;
wenzelm
parents: 9547
diff changeset
   632
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   633
(*** Instantiate theorem th, reading instantiations under signature sg ****)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   634
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   635
(*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
   636
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
   637
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   638
fun read_instantiate_sg sg sinsts th =
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   639
    let val ts = types_sorts th;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   640
        val used = add_term_tvarnames(#prop(rep_thm th),[]);
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   641
    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
   642
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   643
(*Instantiate theorem th, reading instantiations under theory of th*)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   644
fun read_instantiate sinsts th =
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   645
    read_instantiate_sg (#sign (rep_thm th)) sinsts th;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   646
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   647
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   648
(*Left-to-right replacements: tpairs = [...,(vi,ti),...].
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   649
  Instantiates distinct Vars by terms, inferring type instantiations. *)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   650
local
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   651
  fun add_types ((ct,cu), (sign,tye,maxidx)) =
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   652
    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
   653
        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
   654
        val maxi = Int.max(maxidx, Int.max(maxt, maxu));
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   655
        val sign' = Sign.merge(sign, Sign.merge(signt, signu))
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   656
        val (tye',maxi') = Type.unify (#tsig(Sign.rep_sg sign')) maxi tye (T,U)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   657
          handle Type.TUNIFY => raise TYPE("add_types", [T,U], [t,u])
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   658
    in  (sign', tye', maxi')  end;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   659
in
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   660
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
   661
  let val (sign,tye,_) = foldr add_types (ctpairs0, (#sign(rep_thm th), Vartab.empty, 0))
8129
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   662
      val tsig = #tsig(Sign.rep_sg sign);
8406
a217b0cd304d Type.unify and Type.typ_match now use Vartab instead of association lists.
berghofe
parents: 8365
diff changeset
   663
      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
   664
                         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
   665
      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
   666
  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
   667
  handle TERM _ =>
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   668
           raise THM("cterm_instantiate: incompatible signatures",0,[th])
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   669
       | TYPE (msg, _, _) => raise THM(msg, 0, [th])
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   670
end;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   671
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   672
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   673
(** Derived rules mainly for METAHYPS **)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   674
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   675
(*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
   676
fun equal_abs_elim ca eqth =
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   677
  let val {sign=signa, t=a, ...} = rep_cterm ca
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   678
      and combth = combination eqth (reflexive ca)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   679
      val {sign,prop,...} = rep_thm eqth
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   680
      val (abst,absu) = Logic.dest_equals prop
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   681
      val cterm = cterm_of (Sign.merge (sign,signa))
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   682
  in  transitive (symmetric (beta_conversion (cterm (abst$a))))
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   683
           (transitive combth (beta_conversion (cterm (absu$a))))
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   684
  end
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   685
  handle THM _ => raise THM("equal_abs_elim", 0, [eqth]);
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   686
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   687
(*Calling equal_abs_elim with multiple terms*)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   688
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
   689
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   690
local
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   691
  val alpha = TVar(("'a",0), [])     (*  type ?'a::{}  *)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   692
  fun err th = raise THM("flexpair_inst: ", 0, [th])
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   693
  fun flexpair_inst def th =
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   694
    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
   695
        val cterm = cterm_of sign
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   696
        fun cvar a = cterm(Var((a,0),alpha))
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   697
        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
   698
                   def
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   699
    in  equal_elim def' th
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   700
    end
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   701
    handle THM _ => err th | Bind => err th
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   702
in
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   703
val flexpair_intr = flexpair_inst (symmetric ProtoPure.flexpair_def)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   704
and flexpair_elim = flexpair_inst ProtoPure.flexpair_def
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   705
end;
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   706
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   707
(*Version for flexflex pairs -- this supports lifting.*)
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   708
fun flexpair_abs_elim_list cts =
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   709
    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
   710
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   711
29e239c7b8c2 Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents: 8086
diff changeset
   712
(*** GOAL (PROP A) <==> PROP A ***)
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   713
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   714
local
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   715
  val A = read_prop "PROP A";
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   716
  val G = read_prop "GOAL (PROP A)";
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   717
  val (G_def, _) = freeze_thaw ProtoPure.Goal_def;
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   718
in
9455
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   719
  val triv_goal = store_thm "triv_goal"
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   720
    (tag_rule internal_tag (standard (Thm.equal_elim (Thm.symmetric G_def) (Thm.assume A))));
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   721
  val rev_triv_goal = store_thm "rev_triv_goal"
f23722b4fbe7 export has_internal;
wenzelm
parents: 9418
diff changeset
   722
    (tag_rule internal_tag (standard (Thm.equal_elim G_def (Thm.assume G))));
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   723
end;
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   724
9460
53d7ad5bec39 Logic.goal_const;
wenzelm
parents: 9455
diff changeset
   725
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
   726
fun assume_goal ct = Thm.assume (mk_cgoal ct) RS rev_triv_goal;
d824a86266a9 added mk_cgoal, assume_goal;
wenzelm
parents: 6946
diff changeset
   727
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   728
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   729
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   730
(** variations on instantiate **)
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   731
8550
b44c185f8018 new meta-rule "inst", a shorthand for read_instantiate_sg
paulson
parents: 8496
diff changeset
   732
(*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
   733
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
   734
b44c185f8018 new meta-rule "inst", a shorthand for read_instantiate_sg
paulson
parents: 8496
diff changeset
   735
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   736
(* collect vars *)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   737
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   738
val add_tvarsT = foldl_atyps (fn (vs, TVar v) => v ins vs | (vs, _) => vs);
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   739
val add_tvars = foldl_types add_tvarsT;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   740
val add_vars = foldl_aterms (fn (vs, Var v) => v ins vs | (vs, _) => vs);
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   741
5903
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   742
fun tvars_of_terms ts = rev (foldl add_tvars ([], ts));
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   743
fun vars_of_terms ts = rev (foldl add_vars ([], ts));
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   744
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   745
fun tvars_of thm = tvars_of_terms [#prop (Thm.rep_thm thm)];
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   746
fun vars_of thm = vars_of_terms [#prop (Thm.rep_thm thm)];
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   747
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   748
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   749
(* instantiate by left-to-right occurrence of variables *)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   750
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   751
fun instantiate' cTs cts thm =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   752
  let
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   753
    fun err msg =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   754
      raise TYPE ("instantiate': " ^ msg,
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   755
        mapfilter (apsome Thm.typ_of) cTs,
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   756
        mapfilter (apsome Thm.term_of) cts);
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   757
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   758
    fun inst_of (v, ct) =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   759
      (Thm.cterm_of (#sign (Thm.rep_cterm ct)) (Var v), ct)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   760
        handle TYPE (msg, _, _) => err msg;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   761
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   762
    fun zip_vars _ [] = []
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   763
      | zip_vars (_ :: vs) (None :: opt_ts) = zip_vars vs opt_ts
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   764
      | zip_vars (v :: vs) (Some t :: opt_ts) = (v, t) :: zip_vars vs opt_ts
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   765
      | zip_vars [] _ = err "more instantiations than variables in thm";
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   766
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   767
    (*instantiate types first!*)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   768
    val thm' =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   769
      if forall is_none cTs then thm
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   770
      else Thm.instantiate (zip_vars (map fst (tvars_of thm)) cTs, []) thm;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   771
    in
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   772
      if forall is_none cts then thm'
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   773
      else Thm.instantiate ([], map inst_of (zip_vars (vars_of thm') cts)) thm'
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   774
    end;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   775
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   776
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   777
(* unvarify(T) *)
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   778
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   779
(*assume thm in standard form, i.e. no frees, 0 var indexes*)
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   780
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   781
fun unvarifyT thm =
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   782
  let
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   783
    val cT = Thm.ctyp_of (Thm.sign_of_thm thm);
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   784
    val tfrees = map (fn ((x, _), S) => Some (cT (TFree (x, S)))) (tvars_of thm);
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   785
  in instantiate' tfrees [] thm end;
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   786
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   787
fun unvarify raw_thm =
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   788
  let
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   789
    val thm = unvarifyT raw_thm;
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   790
    val ct = Thm.cterm_of (Thm.sign_of_thm thm);
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   791
    val frees = map (fn ((x, _), T) => Some (ct (Free (x, T)))) (vars_of thm);
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   792
  in instantiate' [] frees thm end;
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   793
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   794
8605
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   795
(* tvars_intr_list *)
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   796
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   797
fun tfrees_of thm =
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   798
  let val {hyps, prop, ...} = Thm.rep_thm thm
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   799
  in foldr Term.add_term_tfree_names (prop :: hyps, []) end;
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   800
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   801
fun tvars_intr_list tfrees thm =
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   802
  Thm.varifyT' (tfrees_of thm \\ tfrees) thm;
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   803
625fbbe5c6b4 added tvars_intr_list;
wenzelm
parents: 8550
diff changeset
   804
6435
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   805
(* increment var indexes *)
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   806
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   807
fun incr_indexes 0 thm = thm
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   808
  | incr_indexes inc thm =
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   809
      let
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   810
        val sign = Thm.sign_of_thm thm;
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   811
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   812
        fun inc_tvar ((x, i), S) = Some (Thm.ctyp_of sign (TVar ((x, i + inc), S)));
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   813
        fun inc_var ((x, i), T) = Some (Thm.cterm_of sign (Var ((x, i + inc), T)));
6930
4b40fb299f9f improved error msgs of cterm_instantiate;
wenzelm
parents: 6435
diff changeset
   814
        val thm' = instantiate' (map inc_tvar (tvars_of thm)) [] thm;
4b40fb299f9f improved error msgs of cterm_instantiate;
wenzelm
parents: 6435
diff changeset
   815
        val thm'' = instantiate' [] (map inc_var (vars_of thm')) thm';
4b40fb299f9f improved error msgs of cterm_instantiate;
wenzelm
parents: 6435
diff changeset
   816
      in thm'' end;
6435
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   817
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   818
fun incr_indexes_wrt is cTs cts thms =
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   819
  let
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   820
    val maxidx =
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   821
      foldl Int.max (~1, is @
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   822
        map (maxidx_of_typ o #T o Thm.rep_ctyp) cTs @
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   823
        map (#maxidx o Thm.rep_cterm) cts @
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   824
        map (#maxidx o Thm.rep_thm) thms);
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   825
  in incr_indexes (maxidx + 1) end;
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   826
154b88d2b62e added incr_indexes, incr_indexes_wrt;
wenzelm
parents: 6390
diff changeset
   827
8328
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   828
(* freeze_all *)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   829
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   830
(*freeze all (T)Vars; assumes thm in standard form*)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   831
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   832
fun freeze_all_TVars thm =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   833
  (case tvars_of thm of
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   834
    [] => thm
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   835
  | tvars =>
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   836
      let val cert = Thm.ctyp_of (Thm.sign_of_thm thm)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   837
      in instantiate' (map (fn ((x, _), S) => Some (cert (TFree (x, S)))) tvars) [] thm end);
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   838
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   839
fun freeze_all_Vars thm =
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   840
  (case vars_of thm of
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   841
    [] => thm
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   842
  | vars =>
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   843
      let val cert = Thm.cterm_of (Thm.sign_of_thm thm)
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   844
      in instantiate' [] (map (fn ((x, _), T) => Some (cert (Free (x, T)))) vars) thm end);
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   845
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   846
val freeze_all = freeze_all_Vars o freeze_all_TVars;
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   847
efbcec3eb02f added freeze_all;
wenzelm
parents: 8129
diff changeset
   848
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   849
(* mk_triv_goal *)
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   850
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   851
(*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
   852
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
   853
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   854
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   855
end;
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   856
5903
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   857
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   858
structure BasicDrule: BASIC_DRULE = Drule;
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   859
open BasicDrule;