src/Pure/thm.ML
author paulson
Fri, 01 Mar 1996 10:19:51 +0100
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permissions -rw-r--r--
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(*  Title:      Pure/thm.ML
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    ID:         $Id$
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    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
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    Copyright   1994  University of Cambridge
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The core of Isabelle's Meta Logic: certified types and terms, meta
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theorems, meta rules (including resolution and simplification).
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*)
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signature THM =
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  sig
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  (*certified types*)
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  type ctyp
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  val rep_ctyp          : ctyp -> {sign: Sign.sg, T: typ}
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  val typ_of            : ctyp -> typ
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  val ctyp_of           : Sign.sg -> typ -> ctyp
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  val read_ctyp         : Sign.sg -> string -> ctyp
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  (*certified terms*)
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  type cterm
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  exception CTERM of string
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  val rep_cterm         : cterm -> {sign: Sign.sg, t: term, T: typ,
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                                    maxidx: int}
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  val term_of           : cterm -> term
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  val cterm_of          : Sign.sg -> term -> cterm
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  val read_cterm        : Sign.sg -> string * typ -> cterm
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  val read_cterms       : Sign.sg -> string list * typ list -> cterm list
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  val cterm_fun         : (term -> term) -> (cterm -> cterm)
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  val dest_cimplies     : cterm -> cterm * cterm
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  val dest_comb         : cterm -> cterm * cterm
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  val dest_abs          : cterm -> cterm * cterm
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  val capply            : cterm -> cterm -> cterm
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  val cabs              : cterm -> cterm -> cterm
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  val read_def_cterm    :
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    Sign.sg * (indexname -> typ option) * (indexname -> sort option) ->
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    string list -> bool -> string * typ -> cterm * (indexname * typ) list
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  (*theories*)
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  (*proof terms [must duplicate declaration as a specification]*)
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  val full_deriv	: bool ref
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  datatype rule = 
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      MinProof				
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    | Axiom		of theory * string
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    | Theorem		of theory * string	
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    | Assume		of cterm
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    | Implies_intr	of cterm
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    | Implies_intr_shyps
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    | Implies_intr_hyps
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    | Implies_elim 
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    | Forall_intr	of cterm
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    | Forall_elim	of cterm
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    | Reflexive		of cterm
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    | Symmetric 
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    | Transitive
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    | Beta_conversion	of cterm
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    | Extensional
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    | Abstract_rule	of string * cterm
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    | Combination
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    | Equal_intr
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    | Equal_elim
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    | Trivial		of cterm
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    | Lift_rule		of cterm * int 
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    | Assumption	of int * Envir.env option
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    | Instantiate	of (indexname * ctyp) list * (cterm * cterm) list
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    | Bicompose		of bool * bool * int * int * Envir.env
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    | Flexflex_rule	of Envir.env		
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    | Class_triv	of theory * class	
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    | VarifyT
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    | FreezeT
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    | RewriteC		of cterm
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    | CongC		of cterm
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    | Rewrite_cterm	of cterm
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    | Rename_params_rule of string list * int;
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  datatype deriv = Infer  of rule * deriv list
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		 | Oracle of string * exn ;
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  (*meta theorems*)
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  type thm
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  exception THM of string * int * thm list
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  val rep_thm           : thm -> {sign: Sign.sg, der: deriv, maxidx: int,
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				  shyps: sort list, hyps: term list, 
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				  prop: term}
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  val crep_thm          : thm -> {sign: Sign.sg, der: deriv, maxidx: int,
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				  shyps: sort list, hyps: cterm list, 
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				  prop: cterm}
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  val stamps_of_thm     : thm -> string ref list
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  val tpairs_of         : thm -> (term * term) list
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  val prems_of          : thm -> term list
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  val nprems_of         : thm -> int
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  val concl_of          : thm -> term
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  val cprop_of          : thm -> cterm
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  val extra_shyps       : thm -> sort list
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  val force_strip_shyps : bool ref      (* FIXME tmp *)
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  val strip_shyps       : thm -> thm
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  val implies_intr_shyps: thm -> thm
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  val get_axiom         : theory -> string -> thm
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  val name_thm          : theory * string * thm -> thm
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  val axioms_of         : theory -> (string * thm) list
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  (*meta rules*)
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  val assume            : cterm -> thm
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  val compress          : thm -> thm
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  val implies_intr      : cterm -> thm -> thm
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  val implies_elim      : thm -> thm -> thm
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  val forall_intr       : cterm -> thm -> thm
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  val forall_elim       : cterm -> thm -> thm
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  val flexpair_def      : thm
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  val reflexive         : cterm -> thm
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  val symmetric         : thm -> thm
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  val transitive        : thm -> thm -> thm
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  val beta_conversion   : cterm -> thm
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  val extensional       : thm -> thm
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  val abstract_rule     : string -> cterm -> thm -> thm
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  val combination       : thm -> thm -> thm
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  val equal_intr        : thm -> thm -> thm
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  val equal_elim        : thm -> thm -> thm
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  val implies_intr_hyps : thm -> thm
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  val flexflex_rule     : thm -> thm Sequence.seq
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  val instantiate       :
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    (indexname * ctyp) list * (cterm * cterm) list -> thm -> thm
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  val trivial           : cterm -> thm
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  val class_triv        : theory -> class -> thm
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  val varifyT           : thm -> thm
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  val freezeT           : thm -> thm
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  val dest_state        : thm * int ->
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    (term * term) list * term list * term * term
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  val lift_rule         : (thm * int) -> thm -> thm
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  val assumption        : int -> thm -> thm Sequence.seq
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  val eq_assumption     : int -> thm -> thm
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  val rename_params_rule: string list * int -> thm -> thm
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  val bicompose         : bool -> bool * thm * int ->
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    int -> thm -> thm Sequence.seq
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  val biresolution      : bool -> (bool * thm) list ->
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    int -> thm -> thm Sequence.seq
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  (*meta simplification*)
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  type meta_simpset
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  exception SIMPLIFIER of string * thm
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  val empty_mss         : meta_simpset
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  val add_simps         : meta_simpset * thm list -> meta_simpset
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  val del_simps         : meta_simpset * thm list -> meta_simpset
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  val mss_of            : thm list -> meta_simpset
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  val add_congs         : meta_simpset * thm list -> meta_simpset
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  val add_prems         : meta_simpset * thm list -> meta_simpset
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  val prems_of_mss      : meta_simpset -> thm list
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  val set_mk_rews       : meta_simpset * (thm -> thm list) -> meta_simpset
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  val mk_rews_of_mss    : meta_simpset -> thm -> thm list
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  val trace_simp        : bool ref
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  val rewrite_cterm     : bool * bool -> meta_simpset ->
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                          (meta_simpset -> thm -> thm option) -> cterm -> thm
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end;
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structure Thm : THM =
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struct
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(*** Certified terms and types ***)
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(** certified types **)
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(*certified typs under a signature*)
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datatype ctyp = Ctyp of {sign: Sign.sg, T: typ};
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fun rep_ctyp (Ctyp args) = args;
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fun typ_of (Ctyp {T, ...}) = T;
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fun ctyp_of sign T =
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  Ctyp {sign = sign, T = Sign.certify_typ sign T};
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fun read_ctyp sign s =
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  Ctyp {sign = sign, T = Sign.read_typ (sign, K None) s};
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(** certified terms **)
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(*certified terms under a signature, with checked typ and maxidx of Vars*)
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datatype cterm = Cterm of {sign: Sign.sg, t: term, T: typ, maxidx: int};
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fun rep_cterm (Cterm args) = args;
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fun term_of (Cterm {t, ...}) = t;
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(*create a cterm by checking a "raw" term with respect to a signature*)
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fun cterm_of sign tm =
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  let val (t, T, maxidx) = Sign.certify_term sign tm
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  in  Cterm {sign = sign, t = t, T = T, maxidx = maxidx}
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  end;
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fun cterm_fun f (Cterm {sign, t, ...}) = cterm_of sign (f t);
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(*dest_implies for cterms. Note T=prop below*)
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fun dest_cimplies (Cterm{sign, T, maxidx, t=Const("==>", _) $ A $ B}) =
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       (Cterm{sign=sign, T=T, maxidx=maxidx, t=A},
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        Cterm{sign=sign, T=T, maxidx=maxidx, t=B})
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  | dest_cimplies ct = raise TERM ("dest_cimplies", [term_of ct]);
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exception CTERM of string;
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(*Destruct application in cterms*)
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fun dest_comb (Cterm{sign, T, maxidx, t = A $ B}) =
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      let val typeA = fastype_of A;
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          val typeB =
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            case typeA of Type("fun",[S,T]) => S
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                        | _ => error "Function type expected in dest_comb";
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      in
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      (Cterm {sign=sign, maxidx=maxidx, t=A, T=typeA},
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       Cterm {sign=sign, maxidx=maxidx, t=B, T=typeB})
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      end
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  | dest_comb _ = raise CTERM "dest_comb";
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(*Destruct abstraction in cterms*)
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fun dest_abs (Cterm {sign, T as Type("fun",[_,S]), maxidx, t=Abs(x,ty,M)}) = 
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      let val (y,N) = variant_abs (x,ty,M)
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      in (Cterm {sign = sign, T = ty, maxidx = 0, t = Free(y,ty)},
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          Cterm {sign = sign, T = S, maxidx = maxidx, t = N})
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      end
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  | dest_abs _ = raise CTERM "dest_abs";
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(*Form cterm out of a function and an argument*)
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fun capply (Cterm {t=f, sign=sign1, T=Type("fun",[dty,rty]), maxidx=maxidx1})
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           (Cterm {t=x, sign=sign2, T, maxidx=maxidx2}) =
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      if T = dty then Cterm{t=f$x, sign=Sign.merge(sign1,sign2), T=rty,
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                            maxidx=max[maxidx1, maxidx2]}
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      else raise CTERM "capply: types don't agree"
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  | capply _ _ = raise CTERM "capply: first arg is not a function"
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fun cabs (Cterm {t=Free(a,ty), sign=sign1, T=T1, maxidx=maxidx1})
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         (Cterm {t=t2, sign=sign2, T=T2, maxidx=maxidx2}) =
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      Cterm {t=absfree(a,ty,t2), sign=Sign.merge(sign1,sign2),
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             T = ty --> T2, maxidx=max[maxidx1, maxidx2]}
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  | cabs _ _ = raise CTERM "cabs: first arg is not a free variable";
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(** read cterms **)   (*exception ERROR*)
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(*read term, infer types, certify term*)
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fun read_def_cterm (sign, types, sorts) used freeze (a, T) =
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  let
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    val T' = Sign.certify_typ sign T
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      handle TYPE (msg, _, _) => error msg;
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    val ts = Syntax.read (#syn (Sign.rep_sg sign)) T' a;
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    val (_, t', tye) =
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          Sign.infer_types sign types sorts used freeze (ts, T');
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    val ct = cterm_of sign t'
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      handle TYPE arg => error (Sign.exn_type_msg sign arg)
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	   | TERM (msg, _) => error msg;
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  in (ct, tye) end;
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fun read_cterm sign = #1 o read_def_cterm (sign, K None, K None) [] true;
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(*read a list of terms, matching them against a list of expected types.
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  NO disambiguation of alternative parses via type-checking -- it is just
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  not practical.*)
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fun read_cterms sign (bs, Ts) =
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  let
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    val {tsig, syn, ...} = Sign.rep_sg sign
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    fun read (b,T) =
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	case Syntax.read syn T b of
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	    [t] => t
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	  | _   => error("Error or ambiguity in parsing of " ^ b)
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    val (us,_) = Type.infer_types(tsig, Sign.const_type sign, 
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				  K None, K None, 
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				  [], true, 
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				  map (Sign.certify_typ sign) Ts, 
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				  map read (bs~~Ts))
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  in  map (cterm_of sign) us  end
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  handle TYPE arg => error (Sign.exn_type_msg sign arg)
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       | TERM (msg, _) => error msg;
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(*** Derivations ***)
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(*Names of rules in derivations.  Includes logically trivial rules, if 
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  executed in ML.*)
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datatype rule = 
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    MinProof				(*for building minimal proof terms*)
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(*Axioms/theorems*)
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  | Axiom		of theory * string
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  | Theorem		of theory * string	(*via theorem db*)
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(*primitive inferences and compound versions of them*)
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  | Assume		of cterm
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  | Implies_intr	of cterm
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  | Implies_intr_shyps
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  | Implies_intr_hyps
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  | Implies_elim 
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  | Forall_intr		of cterm
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  | Forall_elim		of cterm
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  | Reflexive		of cterm
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  | Symmetric 
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  | Transitive
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  | Beta_conversion	of cterm
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  | Extensional
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  | Abstract_rule	of string * cterm
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  | Combination
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  | Equal_intr
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  | Equal_elim
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(*derived rules for tactical proof*)
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  | Trivial		of cterm
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	(*For lift_rule, the proof state is not a premise.
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	  Use cterm instead of thm to avoid mutual recursion.*)
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  | Lift_rule		of cterm * int 
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  | Assumption		of int * Envir.env option (*includes eq_assumption*)
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  | Instantiate		of (indexname * ctyp) list * (cterm * cterm) list
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  | Bicompose		of bool * bool * int * int * Envir.env
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  | Flexflex_rule	of Envir.env		(*identifies unifier chosen*)
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(*other derived rules*)
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  | Class_triv		of theory * class	(*derived rule????*)
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  | VarifyT
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  | FreezeT
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(*for the simplifier*)
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  | RewriteC		of cterm
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  | CongC		of cterm
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  | Rewrite_cterm	of cterm
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(*Logical identities, recorded since they are part of the proof process*)
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  | Rename_params_rule	of string list * int;
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datatype deriv = Infer	of rule * deriv list
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	       | Oracle	of string * exn (*???*);
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val full_deriv = ref false;
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(*Suppress all atomic inferences, if using minimal derivations*)
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fun squash_derivs (Infer (_, []) :: drvs) =        squash_derivs drvs
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  | squash_derivs (der :: ders)           = der :: squash_derivs ders
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  | squash_derivs []                      = [];
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(*Ensure sharing of the most likely derivation, the empty one!*)
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val min_infer = Infer (MinProof, []);
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(*Make a minimal inference*)
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fun make_min_infer []    = min_infer
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  | make_min_infer [der] = der
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  | make_min_infer ders  = Infer (MinProof, ders);
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fun infer_derivs (rl, [])   = Infer (rl, [])
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  | infer_derivs (rl, ders) =
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    if !full_deriv then Infer (rl, ders)
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    else make_min_infer (squash_derivs ders);
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387
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(*** Meta theorems ***)
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datatype thm = Thm of
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  {sign: Sign.sg,		(*signature for hyps and prop*)
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   der: deriv,			(*derivation*)
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   maxidx: int,			(*maximum index of any Var or TVar*)
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   shyps: sort list,		(* FIXME comment *)
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   hyps: term list,		(*hypotheses*)
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   prop: term};			(*conclusion*)
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250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
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fun rep_thm (Thm args) = args;
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(*Version of rep_thm returning cterms instead of terms*)
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fun crep_thm (Thm {sign, der, maxidx, shyps, hyps, prop}) =
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  let fun ctermf max t = Cterm{sign=sign, t=t, T=propT, maxidx=max};
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  in {sign=sign, der=der, maxidx=maxidx, shyps=shyps,
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      hyps = map (ctermf ~1) hyps,
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      prop = ctermf maxidx prop}
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d2f865740d8e added cabs and crep_thm
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  end;
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387
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(*errors involving theorems*)
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exception THM of string * int * thm list;
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387
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val sign_of_thm = #sign o rep_thm;
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val stamps_of_thm = #stamps o Sign.rep_sg o sign_of_thm;
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   375
(*merge signatures of two theorems; raise exception if incompatible*)
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fun merge_thm_sgs (th1, th2) =
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  Sign.merge (pairself sign_of_thm (th1, th2))
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810da101bad2 read_def_cterm: minor changes;
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   378
    handle TERM (msg, _) => raise THM (msg, 0, [th1, th2]);
387
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   379
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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   380
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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   381
(*maps object-rule to tpairs*)
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   382
fun tpairs_of (Thm {prop, ...}) = #1 (Logic.strip_flexpairs prop);
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   383
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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   384
(*maps object-rule to premises*)
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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   385
fun prems_of (Thm {prop, ...}) =
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   386
  Logic.strip_imp_prems (Logic.skip_flexpairs prop);
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   388
(*counts premises in a rule*)
387
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   389
fun nprems_of (Thm {prop, ...}) =
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   390
  Logic.count_prems (Logic.skip_flexpairs prop, 0);
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   391
387
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   392
(*maps object-rule to conclusion*)
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   393
fun concl_of (Thm {prop, ...}) = Logic.strip_imp_concl prop;
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   394
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69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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   395
(*the statement of any thm is a cterm*)
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8845eb5f0e5e added add_trrules_i;
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parents: 1065
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   396
fun cprop_of (Thm {sign, maxidx, prop, ...}) =
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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parents: 309
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   397
  Cterm {sign = sign, maxidx = maxidx, T = propT, t = prop};
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   398
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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parents: 309
diff changeset
   399
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   400
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   401
(** sort contexts of theorems **)
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   402
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   403
(* basic utils *)
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   404
289c573327f0 considerably tuned shyps handling;
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   405
(*accumulate sorts suppressing duplicates; these are coded low level
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   406
  to improve efficiency a bit*)
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   407
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   408
fun add_typ_sorts (Type (_, Ts), Ss) = add_typs_sorts (Ts, Ss)
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   409
  | add_typ_sorts (TFree (_, S), Ss) = S ins Ss
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   410
  | add_typ_sorts (TVar (_, S), Ss) = S ins Ss
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   411
and add_typs_sorts ([], Ss) = Ss
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   412
  | add_typs_sorts (T :: Ts, Ss) = add_typs_sorts (Ts, add_typ_sorts (T, Ss));
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   413
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   414
fun add_term_sorts (Const (_, T), Ss) = add_typ_sorts (T, Ss)
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   415
  | add_term_sorts (Free (_, T), Ss) = add_typ_sorts (T, Ss)
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   416
  | add_term_sorts (Var (_, T), Ss) = add_typ_sorts (T, Ss)
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   417
  | add_term_sorts (Bound _, Ss) = Ss
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   418
  | add_term_sorts (Abs (_, T, t), Ss) = add_term_sorts (t, add_typ_sorts (T, Ss))
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   419
  | add_term_sorts (t $ u, Ss) = add_term_sorts (t, add_term_sorts (u, Ss));
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   420
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   421
fun add_terms_sorts ([], Ss) = Ss
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   422
  | add_terms_sorts (t :: ts, Ss) = add_terms_sorts (ts, add_term_sorts (t, Ss));
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   423
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2a2d8c74a756 bicompose_aux: tuned fix_shyps;
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   424
fun env_codT (Envir.Envir {iTs, ...}) = map snd iTs;
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   425
2a2d8c74a756 bicompose_aux: tuned fix_shyps;
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   426
fun add_env_sorts (env, Ss) =
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   427
  add_terms_sorts (map snd (Envir.alist_of env),
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   428
    add_typs_sorts (env_codT env, Ss));
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   429
1238
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   430
fun add_thm_sorts (Thm {hyps, prop, ...}, Ss) =
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   431
  add_terms_sorts (hyps, add_term_sorts (prop, Ss));
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   432
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parents: 1229
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   433
fun add_thms_shyps ([], Ss) = Ss
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   434
  | add_thms_shyps (Thm {shyps, ...} :: ths, Ss) =
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parents: 1229
diff changeset
   435
      add_thms_shyps (ths, shyps union Ss);
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wenzelm
parents: 1229
diff changeset
   436
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   437
289c573327f0 considerably tuned shyps handling;
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parents: 1229
diff changeset
   438
(*get 'dangling' sort constraints of a thm*)
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parents: 1229
diff changeset
   439
fun extra_shyps (th as Thm {shyps, ...}) =
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   440
  shyps \\ add_thm_sorts (th, []);
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wenzelm
parents: 1229
diff changeset
   441
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   442
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   443
(* fix_shyps *)
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   444
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   445
(*preserve sort contexts of rule premises and substituted types*)
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diff changeset
   446
fun fix_shyps thms Ts thm =
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   447
  let
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   448
    val Thm {sign, der, maxidx, hyps, prop, ...} = thm;
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   449
    val shyps =
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   450
      add_thm_sorts (thm, add_typs_sorts (Ts, add_thms_shyps (thms, [])));
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wenzelm
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diff changeset
   451
  in
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   452
    Thm {sign = sign, 
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parents: 1517
diff changeset
   453
	 der = der,		(*No new derivation, as other rules call this*)
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diff changeset
   454
	 maxidx = maxidx,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   455
	 shyps = shyps, hyps = hyps, prop = prop}
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   456
  end;
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   457
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   458
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   459
(* strip_shyps *)       (* FIXME improve? (e.g. only minimal extra sorts) *)
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   460
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   461
val force_strip_shyps = ref true;  (* FIXME tmp *)
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   462
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   463
(*remove extra sorts that are known to be syntactically non-empty*)
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   464
fun strip_shyps thm =
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   465
  let
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09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   466
    val Thm {sign, der, maxidx, shyps, hyps, prop} = thm;
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   467
    val sorts = add_thm_sorts (thm, []);
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wenzelm
parents: 1229
diff changeset
   468
    val maybe_empty = not o Sign.nonempty_sort sign sorts;
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wenzelm
parents: 1229
diff changeset
   469
    val shyps' = filter (fn S => S mem sorts orelse maybe_empty S) shyps;
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wenzelm
parents: 1229
diff changeset
   470
  in
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   471
    Thm {sign = sign, der = der, maxidx = maxidx,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   472
	 shyps =
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   473
	 (if eq_set (shyps',sorts) orelse not (!force_strip_shyps) then shyps'
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paulson
parents: 1517
diff changeset
   474
	  else    (* FIXME tmp *)
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   475
	      (writeln ("WARNING Removed sort hypotheses: " ^
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   476
			commas (map Type.str_of_sort (shyps' \\ sorts)));
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   477
	       writeln "WARNING Let's hope these sorts are non-empty!";
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   478
           sorts)),
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   479
      hyps = hyps, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   480
      prop = prop}
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   481
  end;
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   482
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   483
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   484
(* implies_intr_shyps *)
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   485
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   486
(*discharge all extra sort hypotheses*)
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   487
fun implies_intr_shyps thm =
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   488
  (case extra_shyps thm of
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   489
    [] => thm
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   490
  | xshyps =>
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   491
      let
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   492
        val Thm {sign, der, maxidx, shyps, hyps, prop} = thm;
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   493
        val shyps' = logicS ins (shyps \\ xshyps);
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   494
        val used_names = foldr add_term_tfree_names (prop :: hyps, []);
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   495
        val names =
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   496
          tl (variantlist (replicate (length xshyps + 1) "'", used_names));
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   497
        val tfrees = map (TFree o rpair logicS) names;
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   498
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   499
        fun mk_insort (T, S) = map (Logic.mk_inclass o pair T) S;
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   500
        val sort_hyps = flat (map2 mk_insort (tfrees, xshyps));
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   501
      in
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   502
        Thm {sign = sign, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   503
	     der = infer_derivs (Implies_intr_shyps, [der]), 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   504
	     maxidx = maxidx, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   505
	     shyps = shyps',
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   506
	     hyps = hyps, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   507
	     prop = Logic.list_implies (sort_hyps, prop)}
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   508
      end);
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   509
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   510
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   511
(** Axioms **)
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   512
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   513
(*look up the named axiom in the theory*)
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   514
fun get_axiom theory name =
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   515
  let
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   516
    fun get_ax [] = raise Match
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   517
      | get_ax (thy :: thys) =
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   518
	  let val {sign, new_axioms, parents} = rep_theory thy
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   519
          in case Symtab.lookup (new_axioms, name) of
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   520
		Some t => fix_shyps [] []
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   521
		           (Thm {sign = sign, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   522
				 der = infer_derivs (Axiom(theory,name), []),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   523
				 maxidx = maxidx_of_term t,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   524
				 shyps = [], 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   525
				 hyps = [], 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   526
				 prop = t})
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   527
	      | None => get_ax parents handle Match => get_ax thys
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   528
          end;
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   529
  in
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   530
    get_ax [theory] handle Match
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   531
      => raise THEORY ("get_axiom: no axiom " ^ quote name, [theory])
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   532
  end;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   533
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   534
776
df8f91c0e57c improved axioms_of: returns thms as the manual says;
wenzelm
parents: 721
diff changeset
   535
(*return additional axioms of this theory node*)
df8f91c0e57c improved axioms_of: returns thms as the manual says;
wenzelm
parents: 721
diff changeset
   536
fun axioms_of thy =
df8f91c0e57c improved axioms_of: returns thms as the manual says;
wenzelm
parents: 721
diff changeset
   537
  map (fn (s, _) => (s, get_axiom thy s))
df8f91c0e57c improved axioms_of: returns thms as the manual says;
wenzelm
parents: 721
diff changeset
   538
    (Symtab.dest (#new_axioms (rep_theory thy)));
df8f91c0e57c improved axioms_of: returns thms as the manual says;
wenzelm
parents: 721
diff changeset
   539
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   540
fun name_thm (thy, name, th as Thm {sign, der, maxidx, shyps, hyps, prop}) = 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   541
    if Sign.eq_sg (sign, sign_of thy) then
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   542
	Thm {sign = sign, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   543
	     der = Infer (Theorem(thy,name), []),	
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   544
	     maxidx = maxidx,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   545
	     shyps = shyps, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   546
	     hyps = hyps, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   547
	     prop = prop}
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   548
    else raise THM ("name_thm", 0, [th]);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   549
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   550
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   551
(*Compression of theorems -- a separate rule, not integrated with the others,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   552
  as it could be slow.*)
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   553
fun compress (Thm {sign, der, maxidx, shyps, hyps, prop}) = 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   554
    Thm {sign = sign, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   555
	 der = der,	(*No derivation recorded!*)
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   556
	 maxidx = maxidx,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   557
	 shyps = shyps, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   558
	 hyps = map Term.compress_term hyps, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   559
	 prop = Term.compress_term prop};
564
eec3a9222b50 added inferT_axm;
wenzelm
parents: 480
diff changeset
   560
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   561
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   562
(*** Meta rules ***)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   563
1495
b8b54847c77f Added check for duplicate vars with distinct types/sorts (nodup_Vars)
nipkow
parents: 1493
diff changeset
   564
(* check that term does not contain same var with different typing/sorting *)
b8b54847c77f Added check for duplicate vars with distinct types/sorts (nodup_Vars)
nipkow
parents: 1493
diff changeset
   565
fun nodup_Vars(thm as Thm{prop,...}) s =
b8b54847c77f Added check for duplicate vars with distinct types/sorts (nodup_Vars)
nipkow
parents: 1493
diff changeset
   566
  Sign.nodup_Vars prop handle TYPE(msg,_,_) => raise THM(s^": "^msg,0,[thm]);
b8b54847c77f Added check for duplicate vars with distinct types/sorts (nodup_Vars)
nipkow
parents: 1493
diff changeset
   567
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   568
(** 'primitive' rules **)
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   569
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   570
(*discharge all assumptions t from ts*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   571
val disch = gen_rem (op aconv);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   572
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   573
(*The assumption rule A|-A in a theory*)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   574
fun assume ct : thm =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   575
  let val {sign, t=prop, T, maxidx} = rep_cterm ct
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   576
  in  if T<>propT then
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   577
        raise THM("assume: assumptions must have type prop", 0, [])
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   578
      else if maxidx <> ~1 then
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   579
        raise THM("assume: assumptions may not contain scheme variables",
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   580
                  maxidx, [])
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   581
      else Thm{sign   = sign, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   582
	       der    = infer_derivs (Assume ct, []), 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   583
	       maxidx = ~1, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   584
	       shyps  = add_term_sorts(prop,[]), 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   585
	       hyps   = [prop], 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   586
	       prop   = prop}
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   587
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   588
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   589
(*Implication introduction
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   590
  A |- B
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   591
  -------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   592
  A ==> B
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   593
*)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   594
fun implies_intr cA (thB as Thm{sign,der,maxidx,hyps,prop,...}) : thm =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   595
  let val {sign=signA, t=A, T, maxidx=maxidxA} = rep_cterm cA
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   596
  in  if T<>propT then
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   597
        raise THM("implies_intr: assumptions must have type prop", 0, [thB])
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   598
      else fix_shyps [thB] []
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   599
        (Thm{sign = Sign.merge (sign,signA),  
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   600
	     der = infer_derivs (Implies_intr cA, [der]),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   601
	     maxidx = max[maxidxA, maxidx],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   602
	     shyps = [],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   603
	     hyps = disch(hyps,A),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   604
	     prop = implies$A$prop})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   605
      handle TERM _ =>
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   606
        raise THM("implies_intr: incompatible signatures", 0, [thB])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   607
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   608
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   609
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   610
(*Implication elimination
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   611
  A ==> B    A
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   612
  ------------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   613
        B
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   614
*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   615
fun implies_elim thAB thA : thm =
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   616
    let val Thm{maxidx=maxA, der=derA, hyps=hypsA, prop=propA,...} = thA
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   617
        and Thm{sign, der, maxidx, hyps, prop,...} = thAB;
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   618
        fun err(a) = raise THM("implies_elim: "^a, 0, [thAB,thA])
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   619
    in  case prop of
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   620
            imp$A$B =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   621
                if imp=implies andalso  A aconv propA
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   622
                then fix_shyps [thAB, thA] []
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   623
                       (Thm{sign= merge_thm_sgs(thAB,thA),
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   624
			    der = infer_derivs (Implies_elim, [der,derA]),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   625
			    maxidx = max[maxA,maxidx],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   626
			    shyps = [],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   627
			    hyps = hypsA union hyps,  (*dups suppressed*)
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   628
			    prop = B})
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   629
                else err("major premise")
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   630
          | _ => err("major premise")
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   631
    end;
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   632
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   633
(*Forall introduction.  The Free or Var x must not be free in the hypotheses.
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   634
    A
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   635
  -----
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   636
  !!x.A
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   637
*)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   638
fun forall_intr cx (th as Thm{sign,der,maxidx,hyps,prop,...}) =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   639
  let val x = term_of cx;
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   640
      fun result(a,T) = fix_shyps [th] []
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   641
        (Thm{sign = sign, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   642
	     der = infer_derivs (Forall_intr cx, [der]),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   643
	     maxidx = maxidx,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   644
	     shyps = [],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   645
	     hyps = hyps,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   646
	     prop = all(T) $ Abs(a, T, abstract_over (x,prop))})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   647
  in  case x of
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   648
        Free(a,T) =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   649
          if exists (apl(x, Logic.occs)) hyps
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   650
          then  raise THM("forall_intr: variable free in assumptions", 0, [th])
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   651
          else  result(a,T)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   652
      | Var((a,_),T) => result(a,T)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   653
      | _ => raise THM("forall_intr: not a variable", 0, [th])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   654
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   655
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   656
(*Forall elimination
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   657
  !!x.A
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   658
  ------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   659
  A[t/x]
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   660
*)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   661
fun forall_elim ct (th as Thm{sign,der,maxidx,hyps,prop,...}) : thm =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   662
  let val {sign=signt, t, T, maxidx=maxt} = rep_cterm ct
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   663
  in  case prop of
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   664
          Const("all",Type("fun",[Type("fun",[qary,_]),_])) $ A =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   665
            if T<>qary then
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   666
                raise THM("forall_elim: type mismatch", 0, [th])
1495
b8b54847c77f Added check for duplicate vars with distinct types/sorts (nodup_Vars)
nipkow
parents: 1493
diff changeset
   667
            else let val thm = fix_shyps [th] []
b8b54847c77f Added check for duplicate vars with distinct types/sorts (nodup_Vars)
nipkow
parents: 1493
diff changeset
   668
                      (Thm{sign= Sign.merge(sign,signt),
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   669
			   der = infer_derivs (Forall_elim ct, [der]),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   670
                           maxidx = max[maxidx, maxt],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   671
                           shyps = [],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   672
			   hyps = hyps,  
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   673
			   prop = betapply(A,t)})
1495
b8b54847c77f Added check for duplicate vars with distinct types/sorts (nodup_Vars)
nipkow
parents: 1493
diff changeset
   674
                 in nodup_Vars thm "forall_elim"; thm end
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   675
        | _ => raise THM("forall_elim: not quantified", 0, [th])
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   676
  end
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   677
  handle TERM _ =>
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   678
         raise THM("forall_elim: incompatible signatures", 0, [th]);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   679
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   680
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   681
(* Equality *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   682
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   683
(* Definition of the relation =?= *)
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   684
val flexpair_def = fix_shyps [] []
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   685
  (Thm{sign= Sign.proto_pure, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   686
       der = Infer(Axiom(pure_thy, "flexpair_def"), []),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   687
       shyps = [], 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   688
       hyps = [], 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   689
       maxidx = 0,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   690
       prop = term_of (read_cterm Sign.proto_pure
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   691
		       ("(?t =?= ?u) == (?t == ?u::?'a::{})", propT))});
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   692
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   693
(*The reflexivity rule: maps  t   to the theorem   t==t   *)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   694
fun reflexive ct =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   695
  let val {sign, t, T, maxidx} = rep_cterm ct
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   696
  in  fix_shyps [] []
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   697
       (Thm{sign= sign, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   698
	    der = infer_derivs (Reflexive ct, []),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   699
	    shyps = [],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   700
	    hyps = [], 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   701
	    maxidx = maxidx,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   702
	    prop = Logic.mk_equals(t,t)})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   703
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   704
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   705
(*The symmetry rule
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   706
  t==u
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   707
  ----
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   708
  u==t
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   709
*)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   710
fun symmetric (th as Thm{sign,der,maxidx,shyps,hyps,prop}) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   711
  case prop of
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   712
      (eq as Const("==",_)) $ t $ u =>
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   713
        (*no fix_shyps*)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   714
	  Thm{sign = sign,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   715
	      der = infer_derivs (Symmetric, [der]),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   716
	      maxidx = maxidx,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   717
	      shyps = shyps,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   718
	      hyps = hyps,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   719
	      prop = eq$u$t}
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   720
    | _ => raise THM("symmetric", 0, [th]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   721
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   722
(*The transitive rule
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   723
  t1==u    u==t2
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   724
  --------------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   725
      t1==t2
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   726
*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   727
fun transitive th1 th2 =
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   728
  let val Thm{der=der1, maxidx=max1, hyps=hyps1, prop=prop1,...} = th1
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   729
      and Thm{der=der2, maxidx=max2, hyps=hyps2, prop=prop2,...} = th2;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   730
      fun err(msg) = raise THM("transitive: "^msg, 0, [th1,th2])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   731
  in case (prop1,prop2) of
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   732
       ((eq as Const("==",_)) $ t1 $ u, Const("==",_) $ u' $ t2) =>
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   733
          if not (u aconv u') then err"middle term"  else
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   734
              fix_shyps [th1, th2] []
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   735
                (Thm{sign= merge_thm_sgs(th1,th2), 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   736
		     der = infer_derivs (Transitive, [der1, der2]),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   737
		     maxidx = max[max1,max2], 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   738
		     shyps = [],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   739
		     hyps = hyps1 union hyps2,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   740
		     prop = eq$t1$t2})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   741
     | _ =>  err"premises"
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   742
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   743
1160
8845eb5f0e5e added add_trrules_i;
wenzelm
parents: 1065
diff changeset
   744
(*Beta-conversion: maps (%x.t)(u) to the theorem (%x.t)(u) == t[u/x] *)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   745
fun beta_conversion ct =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   746
  let val {sign, t, T, maxidx} = rep_cterm ct
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   747
  in  case t of
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   748
          Abs(_,_,bodt) $ u => fix_shyps [] []
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   749
            (Thm{sign = sign,  
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   750
		 der = infer_derivs (Beta_conversion ct, []),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   751
		 maxidx = maxidx_of_term t,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   752
		 shyps = [],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   753
		 hyps = [],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   754
		 prop = Logic.mk_equals(t, subst_bounds([u],bodt))})
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   755
        | _ =>  raise THM("beta_conversion: not a redex", 0, [])
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   756
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   757
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   758
(*The extensionality rule   (proviso: x not free in f, g, or hypotheses)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   759
  f(x) == g(x)
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   760
  ------------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   761
     f == g
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   762
*)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   763
fun extensional (th as Thm{sign, der, maxidx,shyps,hyps,prop}) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   764
  case prop of
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   765
    (Const("==",_)) $ (f$x) $ (g$y) =>
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   766
      let fun err(msg) = raise THM("extensional: "^msg, 0, [th])
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   767
      in (if x<>y then err"different variables" else
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   768
          case y of
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   769
                Free _ =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   770
                  if exists (apl(y, Logic.occs)) (f::g::hyps)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   771
                  then err"variable free in hyps or functions"    else  ()
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   772
              | Var _ =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   773
                  if Logic.occs(y,f)  orelse  Logic.occs(y,g)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   774
                  then err"variable free in functions"   else  ()
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   775
              | _ => err"not a variable");
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   776
          (*no fix_shyps*)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   777
          Thm{sign = sign,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   778
	      der = infer_derivs (Extensional, [der]),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   779
	      maxidx = maxidx,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   780
	      shyps = shyps,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   781
	      hyps = hyps, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   782
              prop = Logic.mk_equals(f,g)}
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   783
      end
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   784
 | _ =>  raise THM("extensional: premise", 0, [th]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   785
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   786
(*The abstraction rule.  The Free or Var x must not be free in the hypotheses.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   787
  The bound variable will be named "a" (since x will be something like x320)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   788
     t == u
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   789
  ------------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   790
  %x.t == %x.u
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   791
*)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   792
fun abstract_rule a cx (th as Thm{sign,der,maxidx,hyps,prop,...}) =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   793
  let val x = term_of cx;
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   794
      val (t,u) = Logic.dest_equals prop
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   795
            handle TERM _ =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   796
                raise THM("abstract_rule: premise not an equality", 0, [th])
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   797
      fun result T = fix_shyps [th] []
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   798
	  (Thm{sign = sign,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   799
	       der = infer_derivs (Abstract_rule (a,cx), [der]),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   800
	       maxidx = maxidx, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   801
	       shyps = [], 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   802
	       hyps = hyps,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   803
	       prop = Logic.mk_equals(Abs(a, T, abstract_over (x,t)),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   804
				      Abs(a, T, abstract_over (x,u)))})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   805
  in  case x of
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   806
        Free(_,T) =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   807
         if exists (apl(x, Logic.occs)) hyps
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   808
         then raise THM("abstract_rule: variable free in assumptions", 0, [th])
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   809
         else result T
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   810
      | Var(_,T) => result T
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   811
      | _ => raise THM("abstract_rule: not a variable", 0, [th])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   812
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   813
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   814
(*The combination rule
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   815
  f==g    t==u
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   816
  ------------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   817
   f(t)==g(u)
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   818
*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   819
fun combination th1 th2 =
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   820
  let val Thm{der=der1, maxidx=max1, shyps=shyps1, hyps=hyps1, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   821
	      prop=prop1,...} = th1
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   822
      and Thm{der=der2, maxidx=max2, shyps=shyps2, hyps=hyps2, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   823
	      prop=prop2,...} = th2
1495
b8b54847c77f Added check for duplicate vars with distinct types/sorts (nodup_Vars)
nipkow
parents: 1493
diff changeset
   824
  in case (prop1,prop2)  of
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   825
       (Const("==",_) $ f $ g, Const("==",_) $ t $ u) =>
1495
b8b54847c77f Added check for duplicate vars with distinct types/sorts (nodup_Vars)
nipkow
parents: 1493
diff changeset
   826
          let val thm = (*no fix_shyps*)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   827
             Thm{sign = merge_thm_sgs(th1,th2), 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   828
		 der = infer_derivs (Combination, [der1, der2]),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   829
                 maxidx = max[max1,max2], 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   830
		 shyps = shyps1 union shyps2,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   831
                 hyps = hyps1 union hyps2,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   832
		 prop = Logic.mk_equals(f$t, g$u)}
1495
b8b54847c77f Added check for duplicate vars with distinct types/sorts (nodup_Vars)
nipkow
parents: 1493
diff changeset
   833
          in nodup_Vars thm "combination"; thm end
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   834
     | _ =>  raise THM("combination: premises", 0, [th1,th2])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   835
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   836
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   837
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   838
(* Equality introduction
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   839
  A==>B    B==>A
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   840
  --------------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   841
       A==B
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   842
*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   843
fun equal_intr th1 th2 =
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   844
  let val Thm{der=der1,maxidx=max1, shyps=shyps1, hyps=hyps1, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   845
	      prop=prop1,...} = th1
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   846
      and Thm{der=der2, maxidx=max2, shyps=shyps2, hyps=hyps2, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   847
	      prop=prop2,...} = th2;
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   848
      fun err(msg) = raise THM("equal_intr: "^msg, 0, [th1,th2])
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   849
  in case (prop1,prop2) of
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   850
       (Const("==>",_) $ A $ B, Const("==>",_) $ B' $ A')  =>
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   851
	  if A aconv A' andalso B aconv B'
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   852
	  then
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   853
	    (*no fix_shyps*)
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   854
	      Thm{sign = merge_thm_sgs(th1,th2),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   855
		  der = infer_derivs (Equal_intr, [der1, der2]),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   856
		  maxidx = max[max1,max2],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   857
		  shyps = shyps1 union shyps2,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   858
		  hyps = hyps1 union hyps2,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   859
		  prop = Logic.mk_equals(A,B)}
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   860
	  else err"not equal"
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   861
     | _ =>  err"premises"
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   862
  end;
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   863
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   864
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   865
(*The equal propositions rule
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   866
  A==B    A
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   867
  ---------
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   868
      B
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   869
*)
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   870
fun equal_elim th1 th2 =
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   871
  let val Thm{der=der1, maxidx=max1, hyps=hyps1, prop=prop1,...} = th1
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   872
      and Thm{der=der2, maxidx=max2, hyps=hyps2, prop=prop2,...} = th2;
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   873
      fun err(msg) = raise THM("equal_elim: "^msg, 0, [th1,th2])
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   874
  in  case prop1  of
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   875
       Const("==",_) $ A $ B =>
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   876
          if not (prop2 aconv A) then err"not equal"  else
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   877
            fix_shyps [th1, th2] []
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   878
              (Thm{sign= merge_thm_sgs(th1,th2), 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   879
		   der = infer_derivs (Equal_elim, [der1, der2]),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   880
		   maxidx = max[max1,max2],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   881
		   shyps = [],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   882
		   hyps = hyps1 union hyps2,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   883
		   prop = B})
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   884
     | _ =>  err"major premise"
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   885
  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   886
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   887
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   888
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   889
(**** Derived rules ****)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   890
1503
7dba648ee25c Elimination of fully-functorial style.
paulson
parents: 1495
diff changeset
   891
(*Discharge all hypotheses.  Need not verify cterms or call fix_shyps.
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   892
  Repeated hypotheses are discharged only once;  fold cannot do this*)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   893
fun implies_intr_hyps (Thm{sign, der, maxidx, shyps, hyps=A::As, prop}) =
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   894
      implies_intr_hyps (*no fix_shyps*)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   895
            (Thm{sign = sign, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   896
		 der = infer_derivs (Implies_intr_hyps, [der]), 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   897
		 maxidx = maxidx, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   898
		 shyps = shyps,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   899
                 hyps = disch(As,A),  
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   900
		 prop = implies$A$prop})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   901
  | implies_intr_hyps th = th;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   902
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   903
(*Smash" unifies the list of term pairs leaving no flex-flex pairs.
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   904
  Instantiates the theorem and deletes trivial tpairs.
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   905
  Resulting sequence may contain multiple elements if the tpairs are
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   906
    not all flex-flex. *)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   907
fun flexflex_rule (th as Thm{sign, der, maxidx, hyps, prop,...}) =
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   908
  let fun newthm env =
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   909
          if Envir.is_empty env then th
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   910
          else
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   911
          let val (tpairs,horn) =
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   912
                        Logic.strip_flexpairs (Envir.norm_term env prop)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   913
                (*Remove trivial tpairs, of the form t=t*)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   914
              val distpairs = filter (not o op aconv) tpairs
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   915
              val newprop = Logic.list_flexpairs(distpairs, horn)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   916
          in  fix_shyps [th] (env_codT env)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   917
                (Thm{sign = sign, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   918
		     der = infer_derivs (Flexflex_rule env, [der]), 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   919
		     maxidx = maxidx_of_term newprop, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   920
		     shyps = [], 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   921
		     hyps = hyps,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   922
		     prop = newprop})
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   923
          end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   924
      val (tpairs,_) = Logic.strip_flexpairs prop
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   925
  in Sequence.maps newthm
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   926
            (Unify.smash_unifiers(sign, Envir.empty maxidx, tpairs))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   927
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   928
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   929
(*Instantiation of Vars
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   930
           A
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   931
  -------------------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   932
  A[t1/v1,....,tn/vn]
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   933
*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   934
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   935
(*Check that all the terms are Vars and are distinct*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   936
fun instl_ok ts = forall is_Var ts andalso null(findrep ts);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   937
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   938
(*For instantiate: process pair of cterms, merge theories*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   939
fun add_ctpair ((ct,cu), (sign,tpairs)) =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   940
  let val {sign=signt, t=t, T= T, ...} = rep_cterm ct
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   941
      and {sign=signu, t=u, T= U, ...} = rep_cterm cu
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   942
  in  if T=U  then (Sign.merge(sign, Sign.merge(signt, signu)), (t,u)::tpairs)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   943
      else raise TYPE("add_ctpair", [T,U], [t,u])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   944
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   945
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   946
fun add_ctyp ((v,ctyp), (sign',vTs)) =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   947
  let val {T,sign} = rep_ctyp ctyp
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   948
  in (Sign.merge(sign,sign'), (v,T)::vTs) end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   949
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   950
(*Left-to-right replacements: ctpairs = [...,(vi,ti),...].
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   951
  Instantiates distinct Vars by terms of same type.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   952
  Normalizes the new theorem! *)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   953
fun instantiate ([], []) th = th
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   954
  | instantiate (vcTs,ctpairs)  (th as Thm{sign,der,maxidx,hyps,prop,...}) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   955
  let val (newsign,tpairs) = foldr add_ctpair (ctpairs, (sign,[]));
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   956
      val (newsign,vTs) = foldr add_ctyp (vcTs, (newsign,[]));
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   957
      val newprop =
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   958
            Envir.norm_term (Envir.empty 0)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   959
              (subst_atomic tpairs
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   960
               (Type.inst_term_tvars(#tsig(Sign.rep_sg newsign),vTs) prop))
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   961
      val newth =
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   962
            fix_shyps [th] (map snd vTs)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   963
              (Thm{sign = newsign, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   964
		   der = infer_derivs (Instantiate(vcTs,ctpairs), [der]), 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   965
		   maxidx = maxidx_of_term newprop, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   966
		   shyps = [],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   967
		   hyps = hyps,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   968
		   prop = newprop})
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   969
  in  if not(instl_ok(map #1 tpairs))
193
b2be328e00c3 updated instantiate to deal with type clashes
nipkow
parents: 134
diff changeset
   970
      then raise THM("instantiate: variables not distinct", 0, [th])
b2be328e00c3 updated instantiate to deal with type clashes
nipkow
parents: 134
diff changeset
   971
      else if not(null(findrep(map #1 vTs)))
b2be328e00c3 updated instantiate to deal with type clashes
nipkow
parents: 134
diff changeset
   972
      then raise THM("instantiate: type variables not distinct", 0, [th])
1495
b8b54847c77f Added check for duplicate vars with distinct types/sorts (nodup_Vars)
nipkow
parents: 1493
diff changeset
   973
      else nodup_Vars newth "instantiate";
b8b54847c77f Added check for duplicate vars with distinct types/sorts (nodup_Vars)
nipkow
parents: 1493
diff changeset
   974
      newth
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   975
  end
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   976
  handle TERM _ =>
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   977
           raise THM("instantiate: incompatible signatures",0,[th])
193
b2be328e00c3 updated instantiate to deal with type clashes
nipkow
parents: 134
diff changeset
   978
       | TYPE _ => raise THM("instantiate: type conflict", 0, [th]);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   979
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   980
(*The trivial implication A==>A, justified by assume and forall rules.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   981
  A can contain Vars, not so for assume!   *)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   982
fun trivial ct : thm =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   983
  let val {sign, t=A, T, maxidx} = rep_cterm ct
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   984
  in  if T<>propT then
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   985
            raise THM("trivial: the term must have type prop", 0, [])
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   986
      else fix_shyps [] []
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   987
        (Thm{sign = sign, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   988
	     der = infer_derivs (Trivial ct, []), 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   989
	     maxidx = maxidx, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   990
	     shyps = [], 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   991
	     hyps = [],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   992
	     prop = implies$A$A})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   993
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   994
1503
7dba648ee25c Elimination of fully-functorial style.
paulson
parents: 1495
diff changeset
   995
(*Axiom-scheme reflecting signature contents: "OFCLASS(?'a::c, c_class)" *)
399
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
   996
fun class_triv thy c =
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   997
  let val sign = sign_of thy;
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   998
      val Cterm {t, maxidx, ...} =
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   999
	  cterm_of sign (Logic.mk_inclass (TVar (("'a", 0), [c]), c))
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1000
	    handle TERM (msg, _) => raise THM ("class_triv: " ^ msg, 0, []);
399
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
  1001
  in
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1002
    fix_shyps [] []
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1003
      (Thm {sign = sign, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1004
	    der = infer_derivs (Class_triv(thy,c), []), 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1005
	    maxidx = maxidx, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1006
	    shyps = [], 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1007
	    hyps = [], 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1008
	    prop = t})
399
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
  1009
  end;
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
  1010
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
  1011
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1012
(* Replace all TFrees not in the hyps by new TVars *)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1013
fun varifyT(Thm{sign,der,maxidx,shyps,hyps,prop}) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1014
  let val tfrees = foldr add_term_tfree_names (hyps,[])
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1015
  in (*no fix_shyps*)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1016
    Thm{sign = sign, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1017
	der = infer_derivs (VarifyT, [der]), 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1018
	maxidx = max[0,maxidx], 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1019
	shyps = shyps, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1020
	hyps = hyps,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1021
        prop = Type.varify(prop,tfrees)}
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1022
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1023
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1024
(* Replace all TVars by new TFrees *)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1025
fun freezeT(Thm{sign,der,maxidx,shyps,hyps,prop}) =
949
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 922
diff changeset
  1026
  let val prop' = Type.freeze prop
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1027
  in (*no fix_shyps*)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1028
    Thm{sign = sign, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1029
	der = infer_derivs (FreezeT, [der]),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1030
	maxidx = maxidx_of_term prop',
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1031
	shyps = shyps,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1032
	hyps = hyps,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1033
        prop = prop'}
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
  1034
  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1035
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1036
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1037
(*** Inference rules for tactics ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1038
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1039
(*Destruct proof state into constraints, other goals, goal(i), rest *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1040
fun dest_state (state as Thm{prop,...}, i) =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1041
  let val (tpairs,horn) = Logic.strip_flexpairs prop
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1042
  in  case  Logic.strip_prems(i, [], horn) of
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1043
          (B::rBs, C) => (tpairs, rev rBs, B, C)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1044
        | _ => raise THM("dest_state", i, [state])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1045
  end
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1046
  handle TERM _ => raise THM("dest_state", i, [state]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1047
309
3751567696bf restored the signature constraint :THM
lcp
parents: 305
diff changeset
  1048
(*Increment variables and parameters of orule as required for
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1049
  resolution with goal i of state. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1050
fun lift_rule (state, i) orule =
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1051
  let val Thm{shyps=sshyps, prop=sprop, maxidx=smax, sign=ssign,...} = state
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1052
      val (Bi::_, _) = Logic.strip_prems(i, [], Logic.skip_flexpairs sprop)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1053
        handle TERM _ => raise THM("lift_rule", i, [orule,state])
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1054
      val ct_Bi = Cterm {sign=ssign, maxidx=smax, T=propT, t=Bi}
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1055
      val (lift_abs,lift_all) = Logic.lift_fns(Bi,smax+1)
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1056
      val (Thm{sign, der, maxidx,shyps,hyps,prop}) = orule
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1057
      val (tpairs,As,B) = Logic.strip_horn prop
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1058
  in  (*no fix_shyps*)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1059
      Thm{sign = merge_thm_sgs(state,orule),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1060
	  der = infer_derivs (Lift_rule(ct_Bi, i), [der]),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1061
	  maxidx = maxidx+smax+1,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1062
          shyps=sshyps union shyps, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1063
	  hyps=hyps, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1064
          prop = Logic.rule_of (map (pairself lift_abs) tpairs,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1065
				map lift_all As,    
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1066
				lift_all B)}
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1067
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1068
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1069
(*Solve subgoal Bi of proof state B1...Bn/C by assumption. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1070
fun assumption i state =
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1071
  let val Thm{sign,der,maxidx,hyps,prop,...} = state;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1072
      val (tpairs, Bs, Bi, C) = dest_state(state,i)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1073
      fun newth (env as Envir.Envir{maxidx, ...}, tpairs) =
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
  1074
        fix_shyps [state] (env_codT env)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1075
          (Thm{sign = sign, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1076
	       der = infer_derivs (Assumption (i, Some env), [der]),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1077
	       maxidx = maxidx,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1078
	       shyps = [],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1079
	       hyps = hyps,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1080
	       prop = 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1081
	       if Envir.is_empty env then (*avoid wasted normalizations*)
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1082
		   Logic.rule_of (tpairs, Bs, C)
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1083
	       else (*normalize the new rule fully*)
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1084
		   Envir.norm_term env (Logic.rule_of (tpairs, Bs, C))});
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1085
      fun addprfs [] = Sequence.null
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1086
        | addprfs ((t,u)::apairs) = Sequence.seqof (fn()=> Sequence.pull
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1087
             (Sequence.mapp newth
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1088
                (Unify.unifiers(sign,Envir.empty maxidx, (t,u)::tpairs))
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1089
                (addprfs apairs)))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1090
  in  addprfs (Logic.assum_pairs Bi)  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1091
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1092
(*Solve subgoal Bi of proof state B1...Bn/C by assumption.
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1093
  Checks if Bi's conclusion is alpha-convertible to one of its assumptions*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1094
fun eq_assumption i state =
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1095
  let val Thm{sign,der,maxidx,hyps,prop,...} = state;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1096
      val (tpairs, Bs, Bi, C) = dest_state(state,i)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1097
  in  if exists (op aconv) (Logic.assum_pairs Bi)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
  1098
      then fix_shyps [state] []
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1099
             (Thm{sign = sign, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1100
		  der = infer_derivs (Assumption (i,None), [der]),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1101
		  maxidx = maxidx,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1102
		  shyps = [],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1103
		  hyps = hyps,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1104
		  prop = Logic.rule_of(tpairs, Bs, C)})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1105
      else  raise THM("eq_assumption", 0, [state])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1106
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1107
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1108
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1109
(** User renaming of parameters in a subgoal **)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1110
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1111
(*Calls error rather than raising an exception because it is intended
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1112
  for top-level use -- exception handling would not make sense here.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1113
  The names in cs, if distinct, are used for the innermost parameters;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1114
   preceding parameters may be renamed to make all params distinct.*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1115
fun rename_params_rule (cs, i) state =
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1116
  let val Thm{sign,der,maxidx,hyps,prop,...} = state
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1117
      val (tpairs, Bs, Bi, C) = dest_state(state,i)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1118
      val iparams = map #1 (Logic.strip_params Bi)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1119
      val short = length iparams - length cs
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1120
      val newnames =
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1121
            if short<0 then error"More names than abstractions!"
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1122
            else variantlist(take (short,iparams), cs) @ cs
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1123
      val freenames = map (#1 o dest_Free) (term_frees prop)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1124
      val newBi = Logic.list_rename_params (newnames, Bi)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1125
  in
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1126
  case findrep cs of
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1127
     c::_ => error ("Bound variables not distinct: " ^ c)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1128
   | [] => (case cs inter freenames of
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1129
       a::_ => error ("Bound/Free variable clash: " ^ a)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
  1130
     | [] => fix_shyps [state] []
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1131
		(Thm{sign = sign,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1132
		     der = infer_derivs (Rename_params_rule(cs,i), [der]),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1133
		     maxidx = maxidx,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1134
		     shyps = [],
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1135
		     hyps = hyps,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1136
		     prop = Logic.rule_of(tpairs, Bs@[newBi], C)}))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1137
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1138
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1139
(*** Preservation of bound variable names ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1140
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1141
(*Scan a pair of terms; while they are similar,
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1142
  accumulate corresponding bound vars in "al"*)
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1143
fun match_bvs(Abs(x,_,s),Abs(y,_,t), al) =
1195
686e3eb613b9 match_bvs no longer puts a name in the alist if it is null ("")
lcp
parents: 1160
diff changeset
  1144
      match_bvs(s, t, if x="" orelse y="" then al
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1145
                                          else (x,y)::al)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1146
  | match_bvs(f$s, g$t, al) = match_bvs(f,g,match_bvs(s,t,al))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1147
  | match_bvs(_,_,al) = al;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1148
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1149
(* strip abstractions created by parameters *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1150
fun match_bvars((s,t),al) = match_bvs(strip_abs_body s, strip_abs_body t, al);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1151
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1152
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1153
(* strip_apply f A(,B) strips off all assumptions/parameters from A
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1154
   introduced by lifting over B, and applies f to remaining part of A*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1155
fun strip_apply f =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1156
  let fun strip(Const("==>",_)$ A1 $ B1,
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1157
                Const("==>",_)$ _  $ B2) = implies $ A1 $ strip(B1,B2)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1158
        | strip((c as Const("all",_)) $ Abs(a,T,t1),
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1159
                      Const("all",_)  $ Abs(_,_,t2)) = c$Abs(a,T,strip(t1,t2))
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1160
        | strip(A,_) = f A
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1161
  in strip end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1162
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1163
(*Use the alist to rename all bound variables and some unknowns in a term
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1164
  dpairs = current disagreement pairs;  tpairs = permanent ones (flexflex);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1165
  Preserves unknowns in tpairs and on lhs of dpairs. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1166
fun rename_bvs([],_,_,_) = I
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1167
  | rename_bvs(al,dpairs,tpairs,B) =
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1168
    let val vars = foldr add_term_vars
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1169
                        (map fst dpairs @ map fst tpairs @ map snd tpairs, [])
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1170
        (*unknowns appearing elsewhere be preserved!*)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1171
        val vids = map (#1 o #1 o dest_Var) vars;
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1172
        fun rename(t as Var((x,i),T)) =
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1173
                (case assoc(al,x) of
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1174
                   Some(y) => if x mem vids orelse y mem vids then t
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1175
                              else Var((y,i),T)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1176
                 | None=> t)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1177
          | rename(Abs(x,T,t)) =
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1178
              Abs(case assoc(al,x) of Some(y) => y | None => x,
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1179
                  T, rename t)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1180
          | rename(f$t) = rename f $ rename t
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1181
          | rename(t) = t;
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1182
        fun strip_ren Ai = strip_apply rename (Ai,B)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1183
    in strip_ren end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1184
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1185
(*Function to rename bounds/unknowns in the argument, lifted over B*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1186
fun rename_bvars(dpairs, tpairs, B) =
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1187
        rename_bvs(foldr match_bvars (dpairs,[]), dpairs, tpairs, B);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1188
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1189
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1190
(*** RESOLUTION ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1191
721
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1192
(** Lifting optimizations **)
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1193
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1194
(*strip off pairs of assumptions/parameters in parallel -- they are
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1195
  identical because of lifting*)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1196
fun strip_assums2 (Const("==>", _) $ _ $ B1,
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1197
                   Const("==>", _) $ _ $ B2) = strip_assums2 (B1,B2)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1198
  | strip_assums2 (Const("all",_)$Abs(a,T,t1),
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1199
                   Const("all",_)$Abs(_,_,t2)) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1200
      let val (B1,B2) = strip_assums2 (t1,t2)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1201
      in  (Abs(a,T,B1), Abs(a,T,B2))  end
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1202
  | strip_assums2 BB = BB;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1203
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1204
721
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1205
(*Faster normalization: skip assumptions that were lifted over*)
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1206
fun norm_term_skip env 0 t = Envir.norm_term env t
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1207
  | norm_term_skip env n (Const("all",_)$Abs(a,T,t)) =
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1208
        let val Envir.Envir{iTs, ...} = env
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1209
            val T' = typ_subst_TVars iTs T
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1210
            (*Must instantiate types of parameters because they are flattened;
721
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1211
              this could be a NEW parameter*)
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1212
        in  all T' $ Abs(a, T', norm_term_skip env n t)  end
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1213
  | norm_term_skip env n (Const("==>", _) $ A $ B) =
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1214
        implies $ A $ norm_term_skip env (n-1) B
721
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1215
  | norm_term_skip env n t = error"norm_term_skip: too few assumptions??";
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1216
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1217
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1218
(*Composition of object rule r=(A1...Am/B) with proof state s=(B1...Bn/C)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1219
  Unifies B with Bi, replacing subgoal i    (1 <= i <= n)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1220
  If match then forbid instantiations in proof state
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1221
  If lifted then shorten the dpair using strip_assums2.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1222
  If eres_flg then simultaneously proves A1 by assumption.
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1223
  nsubgoal is the number of new subgoals (written m above).
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1224
  Curried so that resolution calls dest_state only once.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1225
*)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1226
local open Sequence; exception COMPOSE
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1227
in
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1228
fun bicompose_aux match (state, (stpairs, Bs, Bi, C), lifted)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1229
                        (eres_flg, orule, nsubgoal) =
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1230
 let val Thm{der=sder, maxidx=smax, shyps=sshyps, hyps=shyps, ...} = state
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1231
     and Thm{der=rder, maxidx=rmax, shyps=rshyps, hyps=rhyps, 
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1232
	     prop=rprop,...} = orule
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1233
         (*How many hyps to skip over during normalization*)
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1234
     and nlift = Logic.count_prems(strip_all_body Bi,
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1235
                                   if eres_flg then ~1 else 0)
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
  1236
     val sign = merge_thm_sgs(state,orule);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1237
     (** Add new theorem with prop = '[| Bs; As |] ==> C' to thq **)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1238
     fun addth As ((env as Envir.Envir {maxidx, ...}, tpairs), thq) =
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1239
       let val normt = Envir.norm_term env;
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1240
           (*perform minimal copying here by examining env*)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1241
           val normp =
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1242
             if Envir.is_empty env then (tpairs, Bs @ As, C)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1243
             else
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1244
             let val ntps = map (pairself normt) tpairs
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1245
             in if the (Envir.minidx env) > smax then
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1246
                  (*no assignments in state; normalize the rule only*)
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1247
                  if lifted
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1248
                  then (ntps, Bs @ map (norm_term_skip env nlift) As, C)
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1249
                  else (ntps, Bs @ map normt As, C)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1250
                else if match then raise COMPOSE
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1251
                else (*normalize the new rule fully*)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1252
                  (ntps, map normt (Bs @ As), normt C)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1253
             end
1258
2a2d8c74a756 bicompose_aux: tuned fix_shyps;
wenzelm
parents: 1238
diff changeset
  1254
           val th = (*tuned fix_shyps*)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1255
             Thm{sign = sign,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1256
		 der = infer_derivs (Bicompose(match, eres_flg,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1257
					       1 + length Bs, nsubgoal, env),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1258
				     [rder,sder]),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1259
		 maxidx = maxidx,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1260
		 shyps = add_env_sorts (env, rshyps union sshyps),
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1261
		 hyps = rhyps union shyps,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1262
		 prop = Logic.rule_of normp}
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1263
        in  cons(th, thq)  end  handle COMPOSE => thq
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1264
     val (rtpairs,rhorn) = Logic.strip_flexpairs(rprop);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1265
     val (rAs,B) = Logic.strip_prems(nsubgoal, [], rhorn)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1266
       handle TERM _ => raise THM("bicompose: rule", 0, [orule,state]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1267
     (*Modify assumptions, deleting n-th if n>0 for e-resolution*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1268
     fun newAs(As0, n, dpairs, tpairs) =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1269
       let val As1 = if !Logic.auto_rename orelse not lifted then As0
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1270
                     else map (rename_bvars(dpairs,tpairs,B)) As0
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1271
       in (map (Logic.flatten_params n) As1)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1272
          handle TERM _ =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1273
          raise THM("bicompose: 1st premise", 0, [orule])
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1274
       end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1275
     val env = Envir.empty(max[rmax,smax]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1276
     val BBi = if lifted then strip_assums2(B,Bi) else (B,Bi);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1277
     val dpairs = BBi :: (rtpairs@stpairs);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1278
     (*elim-resolution: try each assumption in turn.  Initially n=1*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1279
     fun tryasms (_, _, []) = null
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1280
       | tryasms (As, n, (t,u)::apairs) =
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1281
          (case pull(Unify.unifiers(sign, env, (t,u)::dpairs))  of
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1282
               None                   => tryasms (As, n+1, apairs)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1283
             | cell as Some((_,tpairs),_) =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1284
                   its_right (addth (newAs(As, n, [BBi,(u,t)], tpairs)))
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1285
                       (seqof (fn()=> cell),
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1286
                        seqof (fn()=> pull (tryasms (As, n+1, apairs)))));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1287
     fun eres [] = raise THM("bicompose: no premises", 0, [orule,state])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1288
       | eres (A1::As) = tryasms (As, 1, Logic.assum_pairs A1);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1289
     (*ordinary resolution*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1290
     fun res(None) = null
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1291
       | res(cell as Some((_,tpairs),_)) =
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1292
             its_right (addth(newAs(rev rAs, 0, [BBi], tpairs)))
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1293
                       (seqof (fn()=> cell), null)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1294
 in  if eres_flg then eres(rev rAs)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1295
     else res(pull(Unify.unifiers(sign, env, dpairs)))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1296
 end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1297
end;  (*open Sequence*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1298
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1299
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1300
fun bicompose match arg i state =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1301
    bicompose_aux match (state, dest_state(state,i), false) arg;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1302
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1303
(*Quick test whether rule is resolvable with the subgoal with hyps Hs
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1304
  and conclusion B.  If eres_flg then checks 1st premise of rule also*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1305
fun could_bires (Hs, B, eres_flg, rule) =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1306
    let fun could_reshyp (A1::_) = exists (apl(A1,could_unify)) Hs
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1307
          | could_reshyp [] = false;  (*no premise -- illegal*)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1308
    in  could_unify(concl_of rule, B) andalso
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1309
        (not eres_flg  orelse  could_reshyp (prems_of rule))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1310
    end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1311
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1312
(*Bi-resolution of a state with a list of (flag,rule) pairs.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1313
  Puts the rule above:  rule/state.  Renames vars in the rules. *)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1314
fun biresolution match brules i state =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1315
    let val lift = lift_rule(state, i);
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1316
        val (stpairs, Bs, Bi, C) = dest_state(state,i)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1317
        val B = Logic.strip_assums_concl Bi;
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1318
        val Hs = Logic.strip_assums_hyp Bi;
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1319
        val comp = bicompose_aux match (state, (stpairs, Bs, Bi, C), true);
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1320
        fun res [] = Sequence.null
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1321
          | res ((eres_flg, rule)::brules) =
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1322
              if could_bires (Hs, B, eres_flg, rule)
1160
8845eb5f0e5e added add_trrules_i;
wenzelm
parents: 1065
diff changeset
  1323
              then Sequence.seqof (*delay processing remainder till needed*)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1324
                  (fn()=> Some(comp (eres_flg, lift rule, nprems_of rule),
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1325
                               res brules))
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1326
              else res brules
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1327
    in  Sequence.flats (res brules)  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1328
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1329
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1330
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1331
(*** Meta simp sets ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1332
288
b00ce6a1fe27 Implemented "ordered rewriting": rules which merely permute variables, such
nipkow
parents: 274
diff changeset
  1333
type rrule = {thm:thm, lhs:term, perm:bool};
b00ce6a1fe27 Implemented "ordered rewriting": rules which merely permute variables, such
nipkow
parents: 274
diff changeset
  1334
type cong = {thm:thm, lhs:term};
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1335
datatype meta_simpset =
405
c97514f63633 Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents: 399
diff changeset
  1336
  Mss of {net:rrule Net.net, congs:(string * cong)list, bounds:string list,
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1337
          prems: thm list, mk_rews: thm -> thm list};
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1338
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1339
(*A "mss" contains data needed during conversion:
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1340
  net: discrimination net of rewrite rules
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1341
  congs: association list of congruence rules
405
c97514f63633 Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents: 399
diff changeset
  1342
  bounds: names of bound variables already used;
c97514f63633 Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents: 399
diff changeset
  1343
          for generating new names when rewriting under lambda abstractions
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1344
  mk_rews: used when local assumptions are added
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1345
*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1346
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1347
val empty_mss = Mss{net = Net.empty, congs = [], bounds=[], prems = [],
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1348
                    mk_rews = K[]};
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1349
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1350
exception SIMPLIFIER of string * thm;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1351
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
  1352
fun prtm a sign t = (writeln a; writeln(Sign.string_of_term sign t));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1353
209
feb8ff35810a changed tracing of simplifier
nipkow
parents: 208
diff changeset
  1354
val trace_simp = ref false;
feb8ff35810a changed tracing of simplifier
nipkow
parents: 208
diff changeset
  1355
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
  1356
fun trace_term a sign t = if !trace_simp then prtm a sign t else ();
209
feb8ff35810a changed tracing of simplifier
nipkow
parents: 208
diff changeset
  1357
feb8ff35810a changed tracing of simplifier
nipkow
parents: 208
diff changeset
  1358
fun trace_thm a (Thm{sign,prop,...}) = trace_term a sign prop;
feb8ff35810a changed tracing of simplifier
nipkow
parents: 208
diff changeset
  1359
427
4ce2ce940faf ordered rewriting applies to conditional rules as well now
nipkow
parents: 421
diff changeset
  1360
fun vperm(Var _, Var _) = true
4ce2ce940faf ordered rewriting applies to conditional rules as well now
nipkow
parents: 421
diff changeset
  1361
  | vperm(Abs(_,_,s), Abs(_,_,t)) = vperm(s,t)
4ce2ce940faf ordered rewriting applies to conditional rules as well now
nipkow
parents: 421
diff changeset
  1362
  | vperm(t1$t2, u1$u2) = vperm(t1,u1) andalso vperm(t2,u2)
4ce2ce940faf ordered rewriting applies to conditional rules as well now
nipkow
parents: 421
diff changeset
  1363
  | vperm(t,u) = (t=u);
288
b00ce6a1fe27 Implemented "ordered rewriting": rules which merely permute variables, such
nipkow
parents: 274
diff changeset
  1364
427
4ce2ce940faf ordered rewriting applies to conditional rules as well now
nipkow
parents: 421
diff changeset
  1365
fun var_perm(t,u) = vperm(t,u) andalso
4ce2ce940faf ordered rewriting applies to conditional rules as well now
nipkow
parents: 421
diff changeset
  1366
                    eq_set(add_term_vars(t,[]), add_term_vars(u,[]))
288
b00ce6a1fe27 Implemented "ordered rewriting": rules which merely permute variables, such
nipkow
parents: 274
diff changeset
  1367
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1368
(*simple test for looping rewrite*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1369
fun loops sign prems (lhs,rhs) =
1023
f5f36bdc8003 Fixed bug in the simplifier: added uses of maxidx_of_term to make sure that
nipkow
parents: 979
diff changeset
  1370
   is_Var(lhs)
f5f36bdc8003 Fixed bug in the simplifier: added uses of maxidx_of_term to make sure that
nipkow
parents: 979
diff changeset
  1371
  orelse
f5f36bdc8003 Fixed bug in the simplifier: added uses of maxidx_of_term to make sure that
nipkow
parents: 979
diff changeset
  1372
   (exists (apl(lhs, Logic.occs)) (rhs::prems))
f5f36bdc8003 Fixed bug in the simplifier: added uses of maxidx_of_term to make sure that
nipkow
parents: 979
diff changeset
  1373
  orelse
f5f36bdc8003 Fixed bug in the simplifier: added uses of maxidx_of_term to make sure that
nipkow
parents: 979
diff changeset
  1374
   (null(prems) andalso
f5f36bdc8003 Fixed bug in the simplifier: added uses of maxidx_of_term to make sure that
nipkow
parents: 979
diff changeset
  1375
    Pattern.matches (#tsig(Sign.rep_sg sign)) (lhs,rhs));
1028
88c8df00905b Added comment to function "loops".
nipkow
parents: 1023
diff changeset
  1376
(* the condition "null(prems)" in the last case is necessary because
88c8df00905b Added comment to function "loops".
nipkow
parents: 1023
diff changeset
  1377
   conditional rewrites with extra variables in the conditions may terminate
88c8df00905b Added comment to function "loops".
nipkow
parents: 1023
diff changeset
  1378
   although the rhs is an instance of the lhs. Example:
88c8df00905b Added comment to function "loops".
nipkow
parents: 1023
diff changeset
  1379
   ?m < ?n ==> f(?n) == f(?m)
88c8df00905b Added comment to function "loops".
nipkow
parents: 1023
diff changeset
  1380
*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1381
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1382
fun mk_rrule raw_thm =
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1383
  let
1258
2a2d8c74a756 bicompose_aux: tuned fix_shyps;
wenzelm
parents: 1238
diff changeset
  1384
      val thm = strip_shyps raw_thm;
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1385
      val Thm{sign,prop,maxidx,...} = thm;
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1386
      val prems = Logic.strip_imp_prems prop
678
6151b7f3b606 Modified pattern.ML to perform proper matching of Higher-Order Patterns.
nipkow
parents: 659
diff changeset
  1387
      val concl = Logic.strip_imp_concl prop
6151b7f3b606 Modified pattern.ML to perform proper matching of Higher-Order Patterns.
nipkow
parents: 659
diff changeset
  1388
      val (lhs,_) = Logic.dest_equals concl handle TERM _ =>
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1389
                      raise SIMPLIFIER("Rewrite rule not a meta-equality",thm)
678
6151b7f3b606 Modified pattern.ML to perform proper matching of Higher-Order Patterns.
nipkow
parents: 659
diff changeset
  1390
      val econcl = Pattern.eta_contract concl