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 COMP;
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signature BASIC_DRULE =
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sig
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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 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 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 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 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 instantiate'	: ctyp option list -> cterm option list -> thm -> thm
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end;
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signature DRULE =
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sig
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  include BASIC_DRULE
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  val triv_goal		: thm
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  val rev_triv_goal	: thm
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  val mk_triv_goal      : cterm -> thm
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  val tvars_of_terms	: term list -> (indexname * sort) list
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  val vars_of_terms	: term list -> (indexname * typ) list
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  val tvars_of		: thm -> (indexname * sort) list
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  val vars_of		: thm -> (indexname * typ) list
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  val unvarifyT		: thm -> thm
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  val unvarify		: thm -> thm
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  val rule_attribute	: ('a -> thm -> thm) -> 'a attribute
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  val tag		: tag -> 'a attribute
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  val untag		: tag -> '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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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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(** 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;
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
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4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
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252
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(*** Find the type (sort) associated with a (T)Var or (T)Free in a term
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     Used for establishing default types (of variables) and sorts (of
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     type variables) when reading another term.
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     Index -1 indicates that a (T)Free rather than a (T)Var is wanted.
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***)
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fun types_sorts thm =
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    let val {prop,hyps,...} = rep_thm thm;
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        val big = list_comb(prop,hyps); (* bogus term! *)
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        val vars = map dest_Var (term_vars big);
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        val frees = map dest_Free (term_frees big);
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        val tvars = term_tvars big;
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        val tfrees = term_tfrees big;
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        fun typ(a,i) = if i<0 then assoc(frees,a) else assoc(vars,(a,i));
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        fun sort(a,i) = if i<0 then assoc(tfrees,a) else assoc(tvars,(a,i));
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    in (typ,sort) end;
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(** Standardization of rules **)
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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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(*Replace outermost quantified variable by Var of given index.
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    Could clash with Vars already present.*)
252
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fun forall_elim_var i th =
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    let val {prop,sign,...} = rep_thm th
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    in case prop of
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          Const("all",_) $ Abs(a,T,_) =>
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              forall_elim (cterm_of sign (Var((a,i), T)))  th
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        | _ => raise THM("forall_elim_var", i, [th])
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    end;
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(*Repeat forall_elim_var until all outer quantifiers are removed*)
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fun forall_elim_vars i th =
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    forall_elim_vars i (forall_elim_var i th)
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        handle THM _ => th;
0
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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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   228
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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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   234
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(*Reset Var indexes to zero, renaming to preserve distinctness*)
252
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fun zero_var_indexes th =
0
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    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)
252
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        val inrs = add_term_tvars(prop,[]);
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        val nms' = rev(foldl add_new_id ([], map (#1 o #1) inrs));
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        val tye = ListPair.map (fn ((v,rs),a) => (v, TVar((a,0),rs)))
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	             (inrs, nms')
252
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        val ctye = map (fn (v,T) => (v,ctyp_of sign T)) tye;
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        fun varpairs([],[]) = []
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          | varpairs((var as Var(v,T)) :: vars, b::bs) =
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                let val T' = typ_subst_TVars tye T
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                in (cterm_of sign (Var(v,T')),
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                    cterm_of sign (Var((b,0),T'))) :: varpairs(vars,bs)
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                end
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          | varpairs _ = raise TERM("varpairs", []);
0
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    in instantiate (ctye, varpairs(vars,rev bs)) th end;
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(*Standard form of object-rule: no hypotheses, Frees, or outer quantifiers;
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    all generality expressed by Vars having index 0.*)
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fun standard th =
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  let val {maxidx,...} = rep_thm th
1237
45ac644b0052 adapted to new version of shyps-stuff;
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  in
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    th |> implies_intr_hyps
1412
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       |> forall_intr_frees |> forall_elim_vars (maxidx + 1)
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       |> Thm.strip_shyps |> Thm.implies_intr_shyps
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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;
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   264
  end;
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   265
0
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   266
4610
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   267
(*Convert all Vars in a theorem to Frees.  Also return a function for 
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   268
  reversing that operation.  DOES NOT WORK FOR TYPE VARIABLES.
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  Similar code in type/freeze_thaw*)
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   270
fun freeze_thaw th =
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   271
  let val fth = freezeT th
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   272
      val {prop,sign,...} = rep_thm fth
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      val used = add_term_names (prop, [])
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   274
      and vars = term_vars prop
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   275
      fun newName (Var(ix,_), (pairs,used)) = 
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   276
	    let val v = variant used (string_of_indexname ix)
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	    in  ((ix,v)::pairs, v::used)  end;
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   278
      val (alist, _) = foldr newName (vars, ([], used))
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   279
      fun mk_inst (Var(v,T)) = 
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   280
	  (cterm_of sign (Var(v,T)),
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paulson
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	   cterm_of sign (Free(the (assoc(alist,v)), T)))
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   282
      val insts = map mk_inst vars
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paulson
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   283
      fun thaw th' = 
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paulson
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   284
	  th' |> forall_intr_list (map #2 insts)
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   285
	      |> forall_elim_list (map #1 insts)
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paulson
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   286
  in  (instantiate ([],insts) fth, thaw)  end;
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paulson
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diff changeset
   287
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
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diff changeset
   288
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
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   289
(*Rotates a rule's premises to the left by k.  Does nothing if k=0 or
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
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diff changeset
   290
  if k equals the number of premises.  Useful, for instance, with etac.
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
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diff changeset
   291
  Similar to tactic/defer_tac*)
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fun rotate_prems k rl = 
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    let val (rl',thaw) = freeze_thaw rl
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paulson
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	val hyps = strip_imp_prems (adjust_maxidx (cprop_of rl'))
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   295
	val hyps' = List.drop(hyps, k)
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    in  implies_elim_list rl' (map assume hyps)
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        |> implies_intr_list (hyps' @ List.take(hyps, k))
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        |> thaw |> varifyT
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   299
    end;
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   300
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
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   301
252
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wenzelm
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   302
(*Assume a new formula, read following the same conventions as axioms.
0
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  Generalizes over Free variables,
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  creates the assumption, and then strips quantifiers.
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  Example is [| ALL x:?A. ?P(x) |] ==> [| ?P(?a) |]
252
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   306
             [ !(A,P,a)[| ALL x:A. P(x) |] ==> [| P(a) |] ]    *)
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fun assume_ax thy sP =
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    let val sign = sign_of thy
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b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
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   309
        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
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   310
    in forall_elim_vars 0 (assume (cterm_of sign prop))  end;
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   312
(*Resolution: exactly one resolvent must be produced.*)
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fun tha RSN (i,thb) =
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  case Seq.chop (2, biresolution false [(false,tha)] i thb) of
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      ([th],_) => th
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    | ([],_)   => raise THM("RSN: no unifiers", i, [tha,thb])
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    |      _   => raise THM("RSN: multiple unifiers", i, [tha,thb]);
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   318
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   319
(*resolution: P==>Q, Q==>R gives P==>R. *)
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   320
fun tha RS thb = tha RSN (1,thb);
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clasohm
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   321
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(*For joining lists of rules*)
252
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wenzelm
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   323
fun thas RLN (i,thbs) =
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  let val resolve = biresolution false (map (pair false) thas) i
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   325
      fun resb thb = Seq.list_of (resolve thb) handle THM _ => []
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85d7e800d754 Replaced "flat" by the Basis Library function List.concat
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  in  List.concat (map resb thbs)  end;
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   327
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   328
fun thas RL thbs = thas RLN (1,thbs);
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   329
11
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lcp
parents: 0
diff changeset
   330
(*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
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   331
  makes proof trees*)
252
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wenzelm
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   332
fun rls MRS bottom_rl =
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d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
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   333
  let fun rs_aux i [] = bottom_rl
252
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wenzelm
parents: 229
diff changeset
   334
        | 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
   335
  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
   336
d0e17c42dbb4 Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents: 0
diff changeset
   337
(*As above, but for rule lists*)
252
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wenzelm
parents: 229
diff changeset
   338
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
   339
  let fun rs_aux i [] = bottom_rls
252
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wenzelm
parents: 229
diff changeset
   340
        | 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
   341
  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
   342
252
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wenzelm
parents: 229
diff changeset
   343
(*compose Q and [...,Qi,Q(i+1),...]==>R to [...,Q(i+1),...]==>R
0
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clasohm
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  with no lifting or renaming!  Q may contain ==> or meta-quants
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clasohm
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   345
  ALWAYS deletes premise i *)
252
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wenzelm
parents: 229
diff changeset
   346
fun compose(tha,i,thb) =
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957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
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   347
    Seq.list_of (bicompose false (false,tha,0) i thb);
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clasohm
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   348
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clasohm
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   349
(*compose Q and [Q1,Q2,...,Qk]==>R to [Q2,...,Qk]==>R getting unique result*)
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clasohm
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   350
fun tha COMP thb =
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clasohm
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   351
    case compose(tha,1,thb) of
252
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wenzelm
parents: 229
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   352
        [th] => th
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   353
      | _ =>   raise THM("COMP", 1, [tha,thb]);
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clasohm
parents:
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   354
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clasohm
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   355
(*Instantiate theorem th, reading instantiations under signature sg*)
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clasohm
parents:
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   356
fun read_instantiate_sg sg sinsts th =
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clasohm
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   357
    let val ts = types_sorts th;
952
9e10962866b0 Removed an old bug which made some simultaneous instantiations fail if they
nipkow
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   358
        val used = add_term_tvarnames(#prop(rep_thm th),[]);
9e10962866b0 Removed an old bug which made some simultaneous instantiations fail if they
nipkow
parents: 949
diff changeset
   359
    in  instantiate (read_insts sg ts ts used sinsts) th  end;
0
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clasohm
parents:
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   360
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clasohm
parents:
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   361
(*Instantiate theorem th, reading instantiations under theory of th*)
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clasohm
parents:
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   362
fun read_instantiate sinsts th =
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clasohm
parents:
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   363
    read_instantiate_sg (#sign (rep_thm th)) sinsts th;
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clasohm
parents:
diff changeset
   364
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clasohm
parents:
diff changeset
   365
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clasohm
parents:
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   366
(*Left-to-right replacements: tpairs = [...,(vi,ti),...].
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clasohm
parents:
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   367
  Instantiates distinct Vars by terms, inferring type instantiations. *)
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clasohm
parents:
diff changeset
   368
local
1435
aefcd255ed4a Removed bug in type unification. Negative indexes are not used any longer.
nipkow
parents: 1412
diff changeset
   369
  fun add_types ((ct,cu), (sign,tye,maxidx)) =
2152
76d5ed939545 Now uses Int.max instead of max
paulson
parents: 2004
diff changeset
   370
    let val {sign=signt, t=t, T= T, maxidx=maxt,...} = rep_cterm ct
76d5ed939545 Now uses Int.max instead of max
paulson
parents: 2004
diff changeset
   371
        and {sign=signu, t=u, T= U, maxidx=maxu,...} = rep_cterm cu;
76d5ed939545 Now uses Int.max instead of max
paulson
parents: 2004
diff changeset
   372
        val maxi = Int.max(maxidx, Int.max(maxt, maxu));
0
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clasohm
parents:
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   373
        val sign' = Sign.merge(sign, Sign.merge(signt, signu))
1435
aefcd255ed4a Removed bug in type unification. Negative indexes are not used any longer.
nipkow
parents: 1412
diff changeset
   374
        val (tye',maxi') = Type.unify (#tsig(Sign.rep_sg sign')) maxi tye (T,U)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   375
          handle Type.TUNIFY => raise TYPE("add_types", [T,U], [t,u])
1435
aefcd255ed4a Removed bug in type unification. Negative indexes are not used any longer.
nipkow
parents: 1412
diff changeset
   376
    in  (sign', tye', maxi')  end;
0
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clasohm
parents:
diff changeset
   377
in
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   378
fun cterm_instantiate ctpairs0 th =
1435
aefcd255ed4a Removed bug in type unification. Negative indexes are not used any longer.
nipkow
parents: 1412
diff changeset
   379
  let val (sign,tye,_) = foldr add_types (ctpairs0, (#sign(rep_thm th),[],0))
0
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clasohm
parents:
diff changeset
   380
      val tsig = #tsig(Sign.rep_sg sign);
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clasohm
parents:
diff changeset
   381
      fun instT(ct,cu) = let val inst = subst_TVars tye
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   382
                         in (cterm_fun inst ct, cterm_fun inst cu) end
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   383
      fun ctyp2 (ix,T) = (ix, ctyp_of sign T)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   384
  in  instantiate (map ctyp2 tye, map instT ctpairs0) th  end
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   385
  handle TERM _ =>
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   386
           raise THM("cterm_instantiate: incompatible signatures",0,[th])
4057
edd8cb346109 propagate exn msg;
wenzelm
parents: 4016
diff changeset
   387
       | TYPE (msg, _, _) => raise THM("cterm_instantiate: " ^ msg, 0, [th])
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   388
end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   389
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   390
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   391
(** theorem equality **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   392
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   393
(*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
   394
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
   395
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   396
(*Useful "distance" function for BEST_FIRST*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   397
val size_of_thm = size_of_term o #prop o rep_thm;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   398
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   399
1194
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   400
(** 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
   401
    (some) type variable renaming **)
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   402
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   403
 (* 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
   404
    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
   405
    in the term. *)
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   406
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
   407
  | 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
   408
  | 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
   409
  | term_vars' _ = [];
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   410
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   411
fun forall_intr_vars th =
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   412
  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
   413
      val vars = distinct (term_vars' prop);
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   414
  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
   415
1237
45ac644b0052 adapted to new version of shyps-stuff;
wenzelm
parents: 1218
diff changeset
   416
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
   417
    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
   418
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   419
563ecd14c1d8 Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents: 952
diff changeset
   420
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   421
(*** Meta-Rewriting Rules ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   422
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   423
val proto_sign = sign_of ProtoPure.thy;
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   424
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   425
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
   426
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   427
fun store_thm name thm = PureThy.smart_store_thm (name, standard thm);
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   428
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   429
val reflexive_thm =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   430
  let val cx = cterm_of proto_sign (Var(("x",0),TVar(("'a",0),logicS)))
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   431
  in store_thm "reflexive" (Thm.reflexive cx) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   432
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   433
val symmetric_thm =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   434
  let val xy = read_prop "x::'a::logic == y"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   435
  in store_thm "symmetric" 
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   436
      (Thm.implies_intr_hyps(Thm.symmetric(Thm.assume xy)))
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   437
   end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   438
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   439
val transitive_thm =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   440
  let val xy = read_prop "x::'a::logic == y"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   441
      val yz = read_prop "y::'a::logic == z"
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   442
      val xythm = Thm.assume xy and yzthm = Thm.assume yz
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   443
  in store_thm "transitive" (Thm.implies_intr yz (Thm.transitive xythm yzthm))
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   444
  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   445
4679
24917efb31b5 Reorganized simplifier. May now reorient rules.
nipkow
parents: 4610
diff changeset
   446
fun symmetric_fun thm = thm RS symmetric_thm;
24917efb31b5 Reorganized simplifier. May now reorient rules.
nipkow
parents: 4610
diff changeset
   447
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   448
(** 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
   449
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   450
val refl_implies = reflexive (cterm_of proto_sign implies);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   451
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   452
(*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
   453
(*Do not rewrite flex-flex pairs*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   454
fun goals_conv pred cv =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   455
  let fun gconv i ct =
2004
3411fe560611 New operations on cterms. Now same names as in Logic
paulson
parents: 1906
diff changeset
   456
        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
   457
            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
   458
                  Const("=?=",_)$_$_ => (reflexive A, i)
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   459
                | _ => (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
   460
        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
   461
        handle TERM _ => reflexive ct
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   462
  in gconv 1 end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   463
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   464
(*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
   465
fun fconv_rule cv th = equal_elim (cv (cprop_of th)) th;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   466
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   467
(*rewriting conversion*)
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   468
fun rew_conv mode prover mss = rewrite_cterm mode mss prover;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   469
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   470
(*Rewrite a theorem*)
3575
4e9beacb5339 improved rewrite_thm / rewrite_goals to handle conditional eqns;
wenzelm
parents: 3555
diff changeset
   471
fun rewrite_rule_aux _ []   th = th
4e9beacb5339 improved rewrite_thm / rewrite_goals to handle conditional eqns;
wenzelm
parents: 3555
diff changeset
   472
  | rewrite_rule_aux prover thms th =
4713
bea2ab2e360b New simplifier flag for mutual simplification.
nipkow
parents: 4691
diff changeset
   473
      fconv_rule (rew_conv (true,false,false) prover (Thm.mss_of thms)) th;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   474
3555
5a720f6b9f38 added rewrite_thm;
wenzelm
parents: 3530
diff changeset
   475
fun rewrite_thm mode prover mss = fconv_rule (rew_conv mode prover mss);
5079
2a8ed71f791f added rewrite_cterm;
wenzelm
parents: 4789
diff changeset
   476
fun rewrite_cterm mode prover mss = Thm.rewrite_cterm mode mss prover;
3555
5a720f6b9f38 added rewrite_thm;
wenzelm
parents: 3530
diff changeset
   477
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   478
(*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
   479
fun rewrite_goals_rule_aux _ []   th = th
4e9beacb5339 improved rewrite_thm / rewrite_goals to handle conditional eqns;
wenzelm
parents: 3555
diff changeset
   480
  | rewrite_goals_rule_aux prover thms th =
4713
bea2ab2e360b New simplifier flag for mutual simplification.
nipkow
parents: 4691
diff changeset
   481
      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
   482
        (Thm.mss_of thms))) th;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   483
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   484
(*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
   485
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
   486
  if 0 < i  andalso  i <= nprems_of thm
ed6a3e2b1a33 added new parameter to the simplification tactics which indicates if
nipkow
parents: 211
diff changeset
   487
  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
   488
  else raise THM("rewrite_goal_rule",i,[thm]);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   489
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   490
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   491
(** Derived rules mainly for METAHYPS **)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   492
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   493
(*Given the term "a", takes (%x.t)==(%x.u) to t[a/x]==u[a/x]*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   494
fun equal_abs_elim ca eqth =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   495
  let val {sign=signa, t=a, ...} = rep_cterm ca
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   496
      and combth = combination eqth (reflexive ca)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   497
      val {sign,prop,...} = rep_thm eqth
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   498
      val (abst,absu) = Logic.dest_equals prop
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 214
diff changeset
   499
      val cterm = cterm_of (Sign.merge (sign,signa))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   500
  in  transitive (symmetric (beta_conversion (cterm (abst$a))))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   501
           (transitive combth (beta_conversion (cterm (absu$a))))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   502
  end
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   503
  handle THM _ => raise THM("equal_abs_elim", 0, [eqth]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   504
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   505
(*Calling equal_abs_elim with multiple terms*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   506
fun equal_abs_elim_list cts th = foldr (uncurry equal_abs_elim) (rev cts, th);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   507
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   508
local
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   509
  val alpha = TVar(("'a",0), [])     (*  type ?'a::{}  *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   510
  fun err th = raise THM("flexpair_inst: ", 0, [th])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   511
  fun flexpair_inst def th =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   512
    let val {prop = Const _ $ t $ u,  sign,...} = rep_thm th
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   513
        val cterm = cterm_of sign
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   514
        fun cvar a = cterm(Var((a,0),alpha))
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   515
        val def' = cterm_instantiate [(cvar"t", cterm t), (cvar"u", cterm u)]
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   516
                   def
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   517
    in  equal_elim def' th
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   518
    end
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   519
    handle THM _ => err th | bind => err th
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   520
in
3991
4cb2f2422695 ProtoPure.thy;
wenzelm
parents: 3766
diff changeset
   521
val flexpair_intr = flexpair_inst (symmetric ProtoPure.flexpair_def)
4cb2f2422695 ProtoPure.thy;
wenzelm
parents: 3766
diff changeset
   522
and flexpair_elim = flexpair_inst ProtoPure.flexpair_def
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   523
end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   524
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   525
(*Version for flexflex pairs -- this supports lifting.*)
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   526
fun flexpair_abs_elim_list cts =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   527
    flexpair_intr o equal_abs_elim_list cts o flexpair_elim;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   528
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   529
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   530
(*** Some useful meta-theorems ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   531
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   532
(*The rule V/V, obtains assumption solving for eresolve_tac*)
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   533
val asm_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   534
  store_thm "asm_rl" (trivial(read_prop "PROP ?psi"));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   535
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   536
(*Meta-level cut rule: [| V==>W; V |] ==> W *)
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   537
val cut_rl =
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   538
  store_thm "cut_rl"
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   539
    (trivial(read_prop "PROP ?psi ==> PROP ?theta"));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   540
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   541
(*Generalized elim rule for one conclusion; cut_rl with reversed premises:
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   542
     [| PROP V;  PROP V ==> PROP W |] ==> PROP W *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   543
val revcut_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   544
  let val V = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   545
      and VW = read_prop "PROP V ==> PROP W";
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   546
  in
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   547
    store_thm "revcut_rl"
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   548
      (implies_intr V (implies_intr VW (implies_elim (assume VW) (assume V))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   549
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   550
668
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   551
(*for deleting an unwanted assumption*)
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   552
val thin_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   553
  let val V = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   554
      and W = read_prop "PROP W";
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   555
  in  store_thm "thin_rl" (implies_intr V (implies_intr W (assume W)))
668
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   556
  end;
0d0923eb0f0d Pure/drule/thin_rl: new
lcp
parents: 655
diff changeset
   557
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   558
(* (!!x. PROP ?V) == PROP ?V       Allows removal of redundant parameters*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   559
val triv_forall_equality =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   560
  let val V  = read_prop "PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   561
      and QV = read_prop "!!x::'a. PROP V"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   562
      and x  = read_cterm proto_sign ("x", TFree("'a",logicS));
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   563
  in
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   564
    store_thm "triv_forall_equality"
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   565
      (equal_intr (implies_intr QV (forall_elim x (assume QV)))
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   566
        (implies_intr V  (forall_intr x (assume V))))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   567
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   568
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   569
(* (PROP ?PhiA ==> PROP ?PhiB ==> PROP ?Psi) ==>
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   570
   (PROP ?PhiB ==> PROP ?PhiA ==> PROP ?Psi)
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   571
   `thm COMP swap_prems_rl' swaps the first two premises of `thm'
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   572
*)
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   573
val swap_prems_rl =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   574
  let val cmajor = read_prop "PROP PhiA ==> PROP PhiB ==> PROP Psi";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   575
      val major = assume cmajor;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   576
      val cminor1 = read_prop "PROP PhiA";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   577
      val minor1 = assume cminor1;
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   578
      val cminor2 = read_prop "PROP PhiB";
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   579
      val minor2 = assume cminor2;
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   580
  in store_thm "swap_prems_rl"
1756
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   581
       (implies_intr cmajor (implies_intr cminor2 (implies_intr cminor1
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   582
         (implies_elim (implies_elim major minor1) minor2))))
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   583
  end;
978ee7ededdd Added swap_prems_rl
nipkow
parents: 1703
diff changeset
   584
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   585
(* [| PROP ?phi ==> PROP ?psi; PROP ?psi ==> PROP ?phi |]
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   586
   ==> PROP ?phi == PROP ?psi
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   587
   Introduction rule for == as a meta-theorem.  
3653
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   588
*)
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   589
val equal_intr_rule =
4610
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   590
  let val PQ = read_prop "PROP phi ==> PROP psi"
b1322be47244 Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents: 4588
diff changeset
   591
      and QP = read_prop "PROP psi ==> PROP phi"
4016
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   592
  in
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   593
    store_thm "equal_intr_rule"
90aebb69c04e eq_thm moved to thm.ML;
wenzelm
parents: 3991
diff changeset
   594
      (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
   595
  end;
6d5b3d5ff132 Added Larry's equal_intr_rule
nipkow
parents: 3575
diff changeset
   596
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   597
4789
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   598
(* GOAL (PROP A) <==> PROP A *)
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   599
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   600
local
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   601
  val A = read_prop "PROP A";
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   602
  val G = read_prop "GOAL (PROP A)";
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   603
  val (G_def, _) = freeze_thaw ProtoPure.Goal_def;
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   604
in
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   605
  val triv_goal = store_thm "triv_goal" (Thm.equal_elim (Thm.symmetric G_def) (Thm.assume A));
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   606
  val rev_triv_goal = store_thm "rev_triv_goal" (Thm.equal_elim G_def (Thm.assume G));
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   607
end;
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   608
9cf0073bbe2b added triv_goal, rev_triv_goal (for Isar);
wenzelm
parents: 4713
diff changeset
   609
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   610
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   611
(** variations on instantiate **)
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   612
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   613
(* collect vars *)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   614
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   615
val add_tvarsT = foldl_atyps (fn (vs, TVar v) => v ins vs | (vs, _) => vs);
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   616
val add_tvars = foldl_types add_tvarsT;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   617
val add_vars = foldl_aterms (fn (vs, Var v) => v ins vs | (vs, _) => vs);
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   618
5903
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   619
fun tvars_of_terms ts = rev (foldl add_tvars ([], ts));
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   620
fun vars_of_terms ts = rev (foldl add_vars ([], ts));
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   621
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   622
fun tvars_of thm = tvars_of_terms [#prop (Thm.rep_thm thm)];
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   623
fun vars_of thm = vars_of_terms [#prop (Thm.rep_thm thm)];
4285
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   624
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   625
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   626
(* instantiate by left-to-right occurrence of variables *)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   627
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   628
fun instantiate' cTs cts thm =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   629
  let
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   630
    fun err msg =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   631
      raise TYPE ("instantiate': " ^ msg,
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   632
        mapfilter (apsome Thm.typ_of) cTs,
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   633
        mapfilter (apsome Thm.term_of) cts);
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   634
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   635
    fun inst_of (v, ct) =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   636
      (Thm.cterm_of (#sign (Thm.rep_cterm ct)) (Var v), ct)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   637
        handle TYPE (msg, _, _) => err msg;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   638
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   639
    fun zip_vars _ [] = []
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   640
      | zip_vars (_ :: vs) (None :: opt_ts) = zip_vars vs opt_ts
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   641
      | zip_vars (v :: vs) (Some t :: opt_ts) = (v, t) :: zip_vars vs opt_ts
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   642
      | zip_vars [] _ = err "more instantiations than variables in thm";
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   643
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   644
    (*instantiate types first!*)
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   645
    val thm' =
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   646
      if forall is_none cTs then thm
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   647
      else Thm.instantiate (zip_vars (map fst (tvars_of thm)) cTs, []) thm;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   648
    in
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   649
      if forall is_none cts then thm'
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   650
      else Thm.instantiate ([], map inst_of (zip_vars (vars_of thm') cts)) thm'
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   651
    end;
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   652
05af145a61d4 cleaned signature;
wenzelm
parents: 4281
diff changeset
   653
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   654
(* unvarify(T) *)
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   655
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   656
(*assume thm in standard form, i.e. no frees, 0 var indexes*)
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   657
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   658
fun unvarifyT thm =
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   659
  let
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   660
    val cT = Thm.ctyp_of (Thm.sign_of_thm thm);
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   661
    val tfrees = map (fn ((x, _), S) => Some (cT (TFree (x, S)))) (tvars_of thm);
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   662
  in instantiate' tfrees [] thm end;
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   663
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   664
fun unvarify raw_thm =
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   665
  let
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   666
    val thm = unvarifyT raw_thm;
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   667
    val ct = Thm.cterm_of (Thm.sign_of_thm thm);
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   668
    val frees = map (fn ((x, _), T) => Some (ct (Free (x, T)))) (vars_of thm);
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   669
  in instantiate' [] frees thm end;
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   670
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   671
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   672
(* mk_triv_goal *)
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   673
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   674
(*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
   675
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
   676
5688
7f582495967c added unvarify(T);
wenzelm
parents: 5311
diff changeset
   677
6086
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   678
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   679
(** basic attributes **)
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   680
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   681
(* dependent rules *)
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   682
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   683
fun rule_attribute f (x, thm) = (x, (f x thm));
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   684
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   685
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   686
(* add / delete tags *)
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   687
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   688
fun map_tags f thm =
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   689
  Thm.put_name_tags (Thm.name_of_thm thm, f (#2 (Thm.get_name_tags thm))) thm;
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   690
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   691
fun tag tg x = rule_attribute (K (map_tags (fn tgs => if tg mem tgs then tgs else tgs @ [tg]))) x;
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   692
fun untag tg x = rule_attribute (K (map_tags (fn tgs => tgs \ tg))) x;
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   693
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   694
fun simple_tag name x = tag (name, []) x;
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   695
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   696
fun tag_lemma x = simple_tag "lemma" x;
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   697
fun tag_assumption x = simple_tag "assumption" x;
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   698
fun tag_internal x = simple_tag "internal" x;
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   699
8cd4190e633a added rule_attribute: ('a -> thm -> thm) -> 'a attribute;
wenzelm
parents: 5903
diff changeset
   700
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   701
end;
252
7532f95d7f44 removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents: 229
diff changeset
   702
5903
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   703
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   704
structure BasicDrule: BASIC_DRULE = Drule;
5d9beee36fbe export vars_of and friends;
wenzelm
parents: 5688
diff changeset
   705
open BasicDrule;