src/Pure/thm.ML
author wenzelm
Wed, 04 Apr 2007 00:11:16 +0200
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child 22596 d0d2af4db18f
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improved exception CTERM; added instantiate_cterm; removed obsolete sign_of_thm;
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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 very core of Isabelle's Meta Logic: certified types and terms,
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meta theorems, meta rules (including lifting and resolution).
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*)
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signature BASIC_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 ->
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   {thy: theory,
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    sign: theory,       (*obsolete*)
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    T: typ,
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    maxidx: int,
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    sorts: sort list}
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  val theory_of_ctyp: ctyp -> theory
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  val typ_of: ctyp -> typ
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  val ctyp_of: theory -> typ -> ctyp
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  val read_ctyp: theory -> string -> ctyp
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  (*certified terms*)
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  type cterm
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  exception CTERM of string * cterm list
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  val rep_cterm: cterm ->
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   {thy: theory,
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    sign: theory,       (*obsolete*)
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    t: term,
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    T: typ,
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    maxidx: int,
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    sorts: sort list}
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  val crep_cterm: cterm ->
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    {thy: theory, sign: theory, t: term, T: ctyp, maxidx: int, sorts: sort list}
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  val theory_of_cterm: cterm -> theory
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  val term_of: cterm -> term
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  val cterm_of: theory -> term -> cterm
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  val ctyp_of_term: cterm -> ctyp
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  val read_cterm: theory -> string * typ -> cterm
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  val read_def_cterm:
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    theory * (indexname -> typ option) * (indexname -> sort option) ->
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    string list -> bool -> string * typ -> cterm * (indexname * typ) list
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  val read_def_cterms:
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    theory * (indexname -> typ option) * (indexname -> sort option) ->
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    string list -> bool -> (string * typ)list
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    -> cterm list * (indexname * typ)list
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  type tag              (* = string * string list *)
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  (*meta theorems*)
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  type thm
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  type attribute     (* = Context.generic * thm -> Context.generic * thm *)
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  val rep_thm: thm ->
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   {thy: theory,
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    sign: theory,       (*obsolete*)
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    der: bool * Proofterm.proof,
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    tags: tag list,
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    maxidx: int,
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    shyps: sort list,
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    hyps: term list,
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    tpairs: (term * term) list,
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    prop: term}
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  val crep_thm: thm ->
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   {thy: theory,
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    sign: theory,       (*obsolete*)
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    der: bool * Proofterm.proof,
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    tags: tag list,
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    maxidx: int,
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    shyps: sort list,
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    hyps: cterm list,
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    tpairs: (cterm * cterm) list,
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    prop: cterm}
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  exception THM of string * int * thm list
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  val theory_of_thm: thm -> theory
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  val prop_of: thm -> term
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  val proof_of: thm -> Proofterm.proof
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  val tpairs_of: thm -> (term * term) list
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  val concl_of: thm -> term
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  val prems_of: thm -> term list
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  val nprems_of: thm -> int
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  val cprop_of: thm -> cterm
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  val cprem_of: thm -> int -> cterm
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  val transfer: theory -> thm -> thm
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  val weaken: cterm -> thm -> thm
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  val extra_shyps: thm -> sort list
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  val strip_shyps: thm -> thm
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  val get_axiom_i: theory -> string -> thm
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  val get_axiom: theory -> xstring -> thm
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  val def_name: string -> string
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  val def_name_optional: string -> string -> string
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  val get_def: theory -> xstring -> 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 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 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: bool -> cterm -> thm
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  val eta_conversion: cterm -> 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 flexflex_rule: thm -> thm Seq.seq
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  val generalize: string list * string list -> int -> thm -> thm
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  val instantiate: (ctyp * ctyp) list * (cterm * cterm) list -> thm -> thm
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  val instantiate_cterm: (ctyp * ctyp) list * (cterm * cterm) list -> cterm -> cterm
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  val trivial: cterm -> thm
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  val class_triv: theory -> class -> thm
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  val unconstrainT: ctyp -> thm -> thm
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  val dest_state: thm * int -> (term * term) list * term list * term * term
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  val lift_rule: cterm -> thm -> thm
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  val incr_indexes: int -> thm -> thm
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  val assumption: int -> thm -> thm Seq.seq
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  val eq_assumption: int -> thm -> thm
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  val rotate_rule: int -> int -> thm -> thm
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  val permute_prems: int -> int -> thm -> thm
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  val rename_params_rule: string list * int -> thm -> thm
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  val compose_no_flatten: bool -> thm * int -> int -> thm -> thm Seq.seq
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  val bicompose: bool -> bool * thm * int -> int -> thm -> thm Seq.seq
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  val biresolution: bool -> (bool * thm) list -> int -> thm -> thm Seq.seq
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  val invoke_oracle: theory -> xstring -> theory * Object.T -> thm
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  val invoke_oracle_i: theory -> string -> theory * Object.T -> thm
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end;
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signature THM =
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sig
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  include BASIC_THM
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  val dest_ctyp: ctyp -> ctyp list
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  val dest_comb: cterm -> cterm * cterm
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  val dest_arg: cterm -> cterm
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  val dest_binop: cterm -> cterm * cterm
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  val dest_abs: string option -> cterm -> cterm * cterm
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  val adjust_maxidx_cterm: int -> 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 major_prem_of: thm -> term
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  val no_prems: thm -> bool
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  val terms_of_tpairs: (term * term) list -> term list
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  val maxidx_of: thm -> int
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  val maxidx_thm: thm -> int -> int
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  val hyps_of: thm -> term list
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  val full_prop_of: thm -> term
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  val get_name: thm -> string
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  val put_name: string -> thm -> thm
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  val get_tags: thm -> tag list
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  val map_tags: (tag list -> tag list) -> thm -> thm
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  val compress: thm -> thm
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  val adjust_maxidx_thm: int -> thm -> thm
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  val rename_boundvars: term -> term -> thm -> thm
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  val cterm_match: cterm * cterm -> (ctyp * ctyp) list * (cterm * cterm) list
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  val cterm_first_order_match: cterm * cterm -> (ctyp * ctyp) list * (cterm * cterm) list
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  val cterm_incr_indexes: int -> cterm -> cterm
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  val varifyT: thm -> thm
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  val varifyT': (string * sort) list -> thm -> ((string * sort) * indexname) list * thm
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  val freezeT: thm -> thm
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end;
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structure Thm: THM =
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struct
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structure Pt = Proofterm;
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(*** Certified terms and types ***)
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(** collect occurrences of sorts -- unless all sorts non-empty **)
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fun may_insert_typ_sorts thy T = if Sign.all_sorts_nonempty thy then I else Sorts.insert_typ T;
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fun may_insert_term_sorts thy t = if Sign.all_sorts_nonempty thy then I else Sorts.insert_term t;
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(*NB: type unification may invent new sorts*)
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fun may_insert_env_sorts thy (env as Envir.Envir {iTs, ...}) =
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  if Sign.all_sorts_nonempty thy then I
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  else Vartab.fold (fn (_, (_, T)) => Sorts.insert_typ T) iTs;
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(** certified types **)
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abstype ctyp = Ctyp of
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 {thy_ref: theory_ref,
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  T: typ,
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  maxidx: int,
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  sorts: sort list}
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with
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fun rep_ctyp (Ctyp {thy_ref, T, maxidx, sorts}) =
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  let val thy = Theory.deref thy_ref
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  in {thy = thy, sign = thy, T = T, maxidx = maxidx, sorts = sorts} end;
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fun theory_of_ctyp (Ctyp {thy_ref, ...}) = Theory.deref thy_ref;
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fun typ_of (Ctyp {T, ...}) = T;
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fun ctyp_of thy raw_T =
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  let val T = Sign.certify_typ thy raw_T in
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    Ctyp {thy_ref = Theory.self_ref thy, T = T,
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      maxidx = Term.maxidx_of_typ T, sorts = may_insert_typ_sorts thy T []}
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  end;
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fun read_ctyp thy s =
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  let val T = Sign.read_typ (thy, K NONE) s in
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    Ctyp {thy_ref = Theory.self_ref thy, T = T,
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      maxidx = Term.maxidx_of_typ T, sorts = may_insert_typ_sorts thy T []}
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  end;
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fun dest_ctyp (Ctyp {thy_ref, T = Type (s, Ts), maxidx, sorts}) =
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      map (fn T => Ctyp {thy_ref = thy_ref, T = T, maxidx = maxidx, sorts = sorts}) Ts
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  | dest_ctyp cT = raise TYPE ("dest_ctyp", [typ_of cT], []);
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229
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(** certified terms **)
229
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(*certified terms with checked typ, maxidx, and sorts*)
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abstype cterm = Cterm of
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 {thy_ref: theory_ref,
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  t: term,
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  T: typ,
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  maxidx: int,
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  sorts: sort list}
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with
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exception CTERM of string * cterm list;
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fun rep_cterm (Cterm {thy_ref, t, T, maxidx, sorts}) =
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  let val thy =  Theory.deref thy_ref
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  in {thy = thy, sign = thy, t = t, T = T, maxidx = maxidx, sorts = sorts} end;
229
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fun crep_cterm (Cterm {thy_ref, t, T, maxidx, sorts}) =
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  let val thy = Theory.deref thy_ref in
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   {thy = thy, sign = thy, t = t,
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      T = Ctyp {thy_ref = thy_ref, T = T, maxidx = maxidx, sorts = sorts},
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    maxidx = maxidx, sorts = sorts}
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  end;
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fun theory_of_cterm (Cterm {thy_ref, ...}) = Theory.deref thy_ref;
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fun term_of (Cterm {t, ...}) = t;
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fun ctyp_of_term (Cterm {thy_ref, T, maxidx, sorts, ...}) =
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  Ctyp {thy_ref = thy_ref, T = T, maxidx = maxidx, sorts = sorts};
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fun cterm_of thy tm =
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  let
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    val (t, T, maxidx) = Sign.certify_term thy tm;
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    val sorts = may_insert_term_sorts thy t [];
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  in Cterm {thy_ref = Theory.self_ref thy, t = t, T = T, maxidx = maxidx, sorts = sorts} end;
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fun merge_thys0 (Cterm {thy_ref = r1, t = t1, ...}) (Cterm {thy_ref = r2, t = t2, ...}) =
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  Theory.merge_refs (r1, r2) handle TERM (msg, _) => raise TERM (msg, [t1, t2]);
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fun dest_comb (ct as Cterm {t = t $ u, T, thy_ref, maxidx, sorts}) =
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      let val A = Term.argument_type_of t in
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        (Cterm {t = t, T = A --> T, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts},
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         Cterm {t = u, T = A, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts})
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      end
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  | dest_comb ct = raise CTERM ("dest_comb", [ct]);
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fun dest_arg (ct as Cterm {t = t $ u, T, thy_ref, maxidx, sorts}) =
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      let val A = Term.argument_type_of t in
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         Cterm {t = u, T = A, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts}
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      end
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  | dest_arg ct = raise CTERM ("dest_arg", [ct]);
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fun dest_binop (ct as Cterm {t = tm, T = _, thy_ref, maxidx, sorts}) =
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  let fun cterm t T = Cterm {t = t, T = T, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts} in
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    (case tm of
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      Const (_, Type ("fun", [A, Type ("fun", [B, _])])) $ a $ b => (cterm a A, cterm b B)
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    |  Free (_, Type ("fun", [A, Type ("fun", [B, _])])) $ a $ b => (cterm a A, cterm b B)
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    |   Var (_, Type ("fun", [A, Type ("fun", [B, _])])) $ a $ b => (cterm a A, cterm b B)
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    | _ => raise CTERM ("dest_binop", [ct]))
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  end;
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fun dest_abs a (ct as
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        Cterm {t = Abs (x, T, t), T = Type ("fun", [_, U]), thy_ref, maxidx, sorts}) =
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      let val (y', t') = Term.dest_abs (the_default x a, T, t) in
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        (Cterm {t = Free (y', T), T = T, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts},
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          Cterm {t = t', T = U, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts})
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      end
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  | dest_abs _ ct = raise CTERM ("dest_abs", [ct]);
1493
e936723cb94d added dest_comb, dest_abs and mk_prop for manipulating cterms
clasohm
parents: 1460
diff changeset
   290
16601
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parents: 16425
diff changeset
   291
fun capply
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18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   292
  (cf as Cterm {t = f, T = Type ("fun", [dty, rty]), maxidx = maxidx1, sorts = sorts1, ...})
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   293
  (cx as Cterm {t = x, T, maxidx = maxidx2, sorts = sorts2, ...}) =
16601
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parents: 16425
diff changeset
   294
    if T = dty then
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   295
      Cterm {thy_ref = merge_thys0 cf cx,
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   296
        t = f $ x,
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   297
        T = rty,
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   298
        maxidx = Int.max (maxidx1, maxidx2),
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
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parents: 16425
diff changeset
   299
        sorts = Sorts.union sorts1 sorts2}
22584
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wenzelm
parents: 22573
diff changeset
   300
      else raise CTERM ("capply: types don't agree", [cf, cx])
d0f0f37ec346 improved exception CTERM;
wenzelm
parents: 22573
diff changeset
   301
  | capply cf cx = raise CTERM ("capply: first arg is not a function", [cf, cx]);
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   302
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
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parents: 16425
diff changeset
   303
fun cabs
16656
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wenzelm
parents: 16601
diff changeset
   304
  (ct1 as Cterm {t = t1, T = T1, maxidx = maxidx1, sorts = sorts1, ...})
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   305
  (ct2 as Cterm {t = t2, T = T2, maxidx = maxidx2, sorts = sorts2, ...}) =
21975
1152dc45d591 Term.lambda: abstract over arbitrary closed terms;
wenzelm
parents: 21798
diff changeset
   306
    let val t = Term.lambda t1 t2 in
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   307
      Cterm {thy_ref = merge_thys0 ct1 ct2,
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   308
        t = t, T = T1 --> T2,
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   309
        maxidx = Int.max (maxidx1, maxidx2),
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   310
        sorts = Sorts.union sorts1 sorts2}
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   311
    end;
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   312
20580
6fb75df09253 added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents: 20548
diff changeset
   313
6fb75df09253 added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents: 20548
diff changeset
   314
fun adjust_maxidx_cterm i (ct as Cterm {thy_ref, t, T, maxidx, sorts}) =
6fb75df09253 added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents: 20548
diff changeset
   315
  if maxidx = i then ct
6fb75df09253 added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents: 20548
diff changeset
   316
  else if maxidx < i then
6fb75df09253 added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents: 20548
diff changeset
   317
    Cterm {maxidx = i, thy_ref = thy_ref, t = t, T = T, sorts = sorts}
6fb75df09253 added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents: 20548
diff changeset
   318
  else
6fb75df09253 added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents: 20548
diff changeset
   319
    Cterm {maxidx = Int.max (maxidx_of_term t, i), thy_ref = thy_ref, t = t, T = T, sorts = sorts};
6fb75df09253 added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents: 20548
diff changeset
   320
10416
5b33e732e459 - Moved rewriting functions to meta_simplifier.ML
berghofe
parents: 10348
diff changeset
   321
(*Matching of cterms*)
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   322
fun gen_cterm_match match
20512
a041c2afb52e ctyp: maintain maxidx;
wenzelm
parents: 20348
diff changeset
   323
    (ct1 as Cterm {t = t1, sorts = sorts1, ...},
20815
ccf18b899c8d cterm_match: avoid recalculation of maxidx;
wenzelm
parents: 20673
diff changeset
   324
     ct2 as Cterm {t = t2, sorts = sorts2, maxidx = maxidx2, ...}) =
10416
5b33e732e459 - Moved rewriting functions to meta_simplifier.ML
berghofe
parents: 10348
diff changeset
   325
  let
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   326
    val thy_ref = merge_thys0 ct1 ct2;
18184
43c4589a9a78 tuned Pattern.match/unify;
wenzelm
parents: 18145
diff changeset
   327
    val (Tinsts, tinsts) = match (Theory.deref thy_ref) (t1, t2) (Vartab.empty, Vartab.empty);
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   328
    val sorts = Sorts.union sorts1 sorts2;
20512
a041c2afb52e ctyp: maintain maxidx;
wenzelm
parents: 20348
diff changeset
   329
    fun mk_cTinst ((a, i), (S, T)) =
a041c2afb52e ctyp: maintain maxidx;
wenzelm
parents: 20348
diff changeset
   330
      (Ctyp {T = TVar ((a, i), S), thy_ref = thy_ref, maxidx = i, sorts = sorts},
20815
ccf18b899c8d cterm_match: avoid recalculation of maxidx;
wenzelm
parents: 20673
diff changeset
   331
       Ctyp {T = T, thy_ref = thy_ref, maxidx = maxidx2, sorts = sorts});
20512
a041c2afb52e ctyp: maintain maxidx;
wenzelm
parents: 20348
diff changeset
   332
    fun mk_ctinst ((x, i), (T, t)) =
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   333
      let val T = Envir.typ_subst_TVars Tinsts T in
20512
a041c2afb52e ctyp: maintain maxidx;
wenzelm
parents: 20348
diff changeset
   334
        (Cterm {t = Var ((x, i), T), T = T, thy_ref = thy_ref, maxidx = i, sorts = sorts},
20815
ccf18b899c8d cterm_match: avoid recalculation of maxidx;
wenzelm
parents: 20673
diff changeset
   335
         Cterm {t = t, T = T, thy_ref = thy_ref, maxidx = maxidx2, sorts = sorts})
10416
5b33e732e459 - Moved rewriting functions to meta_simplifier.ML
berghofe
parents: 10348
diff changeset
   336
      end;
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   337
  in (Vartab.fold (cons o mk_cTinst) Tinsts [], Vartab.fold (cons o mk_ctinst) tinsts []) end;
10416
5b33e732e459 - Moved rewriting functions to meta_simplifier.ML
berghofe
parents: 10348
diff changeset
   338
5b33e732e459 - Moved rewriting functions to meta_simplifier.ML
berghofe
parents: 10348
diff changeset
   339
val cterm_match = gen_cterm_match Pattern.match;
5b33e732e459 - Moved rewriting functions to meta_simplifier.ML
berghofe
parents: 10348
diff changeset
   340
val cterm_first_order_match = gen_cterm_match Pattern.first_order_match;
5b33e732e459 - Moved rewriting functions to meta_simplifier.ML
berghofe
parents: 10348
diff changeset
   341
5b33e732e459 - Moved rewriting functions to meta_simplifier.ML
berghofe
parents: 10348
diff changeset
   342
(*Incrementing indexes*)
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   343
fun cterm_incr_indexes i (ct as Cterm {thy_ref, t, T, maxidx, sorts}) =
22584
d0f0f37ec346 improved exception CTERM;
wenzelm
parents: 22573
diff changeset
   344
  if i < 0 then raise CTERM ("negative increment", [ct])
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   345
  else if i = 0 then ct
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   346
  else Cterm {thy_ref = thy_ref, t = Logic.incr_indexes ([], i) t,
16884
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
   347
    T = Logic.incr_tvar i T, maxidx = maxidx + i, sorts = sorts};
10416
5b33e732e459 - Moved rewriting functions to meta_simplifier.ML
berghofe
parents: 10348
diff changeset
   348
2509
0a7169d89b7a added termless parameter;
wenzelm
parents: 2386
diff changeset
   349
0a7169d89b7a added termless parameter;
wenzelm
parents: 2386
diff changeset
   350
574
810da101bad2 read_def_cterm: minor changes;
wenzelm
parents: 564
diff changeset
   351
(** read cterms **)   (*exception ERROR*)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   352
4281
6c6073b13600 Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents: 4270
diff changeset
   353
(*read terms, infer types, certify terms*)
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   354
fun read_def_cterms (thy, types, sorts) used freeze sTs =
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   355
  let
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   356
    val (ts', tye) = Sign.read_def_terms (thy, types, sorts) used freeze sTs;
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   357
    val cts = map (cterm_of thy) ts'
2979
db6941221197 improved type check error messages;
wenzelm
parents: 2962
diff changeset
   358
      handle TYPE (msg, _, _) => error msg
2386
58f8ff014009 fixed warning;
wenzelm
parents: 2266
diff changeset
   359
           | TERM (msg, _) => error msg;
4281
6c6073b13600 Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents: 4270
diff changeset
   360
  in (cts, tye) end;
6c6073b13600 Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents: 4270
diff changeset
   361
6c6073b13600 Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents: 4270
diff changeset
   362
(*read term, infer types, certify term*)
6c6073b13600 Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents: 4270
diff changeset
   363
fun read_def_cterm args used freeze aT =
6c6073b13600 Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents: 4270
diff changeset
   364
  let val ([ct],tye) = read_def_cterms args used freeze [aT]
6c6073b13600 Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents: 4270
diff changeset
   365
  in (ct,tye) end;
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   366
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   367
fun read_cterm thy = #1 o read_def_cterm (thy, K NONE, K NONE) [] true;
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   368
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   369
2509
0a7169d89b7a added termless parameter;
wenzelm
parents: 2386
diff changeset
   370
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   371
(*** Meta theorems ***)
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   372
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   373
type tag = string * string list;
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   374
22237
bb9b1c8a8a95 old-fashioned abstype ctyp/cterm/thm prevents accidental equality tests;
wenzelm
parents: 21975
diff changeset
   375
abstype thm = Thm of
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   376
 {thy_ref: theory_ref,         (*dynamic reference to theory*)
11518
5f2616a1c10a Replaced old derivations by proof terms.
berghofe
parents: 10767
diff changeset
   377
  der: bool * Pt.proof,        (*derivation*)
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   378
  tags: tag list,              (*additional annotations/comments*)
3967
edd5ff9371f8 sg_ref: automatic adjustment of thms of draft theories;
wenzelm
parents: 3895
diff changeset
   379
  maxidx: int,                 (*maximum index of any Var or TVar*)
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   380
  shyps: sort list,            (*sort hypotheses as ordered list*)
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   381
  hyps: term list,             (*hypotheses as ordered list*)
13658
c9ad3e64ddcf Changed handling of flex-flex constraints: now stored in separate
berghofe
parents: 13642
diff changeset
   382
  tpairs: (term * term) list,  (*flex-flex pairs*)
22237
bb9b1c8a8a95 old-fashioned abstype ctyp/cterm/thm prevents accidental equality tests;
wenzelm
parents: 21975
diff changeset
   383
  prop: term}                  (*conclusion*)
bb9b1c8a8a95 old-fashioned abstype ctyp/cterm/thm prevents accidental equality tests;
wenzelm
parents: 21975
diff changeset
   384
with
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   385
22365
ce62a5f6954c moved some non-kernel material to more_thm.ML;
wenzelm
parents: 22237
diff changeset
   386
(*attributes subsume any kind of rules or context modifiers*)
ce62a5f6954c moved some non-kernel material to more_thm.ML;
wenzelm
parents: 22237
diff changeset
   387
type attribute = Context.generic * thm -> Context.generic * thm;
ce62a5f6954c moved some non-kernel material to more_thm.ML;
wenzelm
parents: 22237
diff changeset
   388
16725
597830f91930 added full_prop_of: includes tpairs;
wenzelm
parents: 16711
diff changeset
   389
(*errors involving theorems*)
597830f91930 added full_prop_of: includes tpairs;
wenzelm
parents: 16711
diff changeset
   390
exception THM of string * int * thm list;
13658
c9ad3e64ddcf Changed handling of flex-flex constraints: now stored in separate
berghofe
parents: 13642
diff changeset
   391
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   392
fun rep_thm (Thm {thy_ref, der, tags, maxidx, shyps, hyps, tpairs, prop}) =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   393
  let val thy = Theory.deref thy_ref in
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   394
   {thy = thy, sign = thy, der = der, tags = tags, maxidx = maxidx,
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   395
    shyps = shyps, hyps = hyps, tpairs = tpairs, prop = prop}
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   396
  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   397
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   398
(*version of rep_thm returning cterms instead of terms*)
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   399
fun crep_thm (Thm {thy_ref, der, tags, maxidx, shyps, hyps, tpairs, prop}) =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   400
  let
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   401
    val thy = Theory.deref thy_ref;
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   402
    fun cterm max t = Cterm {thy_ref = thy_ref, t = t, T = propT, maxidx = max, sorts = shyps};
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   403
  in
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   404
   {thy = thy, sign = thy, der = der, tags = tags, maxidx = maxidx, shyps = shyps,
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   405
    hyps = map (cterm ~1) hyps,
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   406
    tpairs = map (pairself (cterm maxidx)) tpairs,
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   407
    prop = cterm maxidx prop}
1517
d2f865740d8e added cabs and crep_thm
clasohm
parents: 1516
diff changeset
   408
  end;
d2f865740d8e added cabs and crep_thm
clasohm
parents: 1516
diff changeset
   409
16725
597830f91930 added full_prop_of: includes tpairs;
wenzelm
parents: 16711
diff changeset
   410
fun terms_of_tpairs tpairs = fold_rev (fn (t, u) => cons t o cons u) tpairs [];
597830f91930 added full_prop_of: includes tpairs;
wenzelm
parents: 16711
diff changeset
   411
597830f91930 added full_prop_of: includes tpairs;
wenzelm
parents: 16711
diff changeset
   412
fun eq_tpairs ((t, u), (t', u')) = t aconv t' andalso u aconv u';
18944
7d2ed9063477 union_tpairs: Library.merge;
wenzelm
parents: 18733
diff changeset
   413
fun union_tpairs ts us = Library.merge eq_tpairs (ts, us);
16884
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
   414
val maxidx_tpairs = fold (fn (t, u) => Term.maxidx_term t #> Term.maxidx_term u);
16725
597830f91930 added full_prop_of: includes tpairs;
wenzelm
parents: 16711
diff changeset
   415
597830f91930 added full_prop_of: includes tpairs;
wenzelm
parents: 16711
diff changeset
   416
fun attach_tpairs tpairs prop =
597830f91930 added full_prop_of: includes tpairs;
wenzelm
parents: 16711
diff changeset
   417
  Logic.list_implies (map Logic.mk_equals tpairs, prop);
597830f91930 added full_prop_of: includes tpairs;
wenzelm
parents: 16711
diff changeset
   418
597830f91930 added full_prop_of: includes tpairs;
wenzelm
parents: 16711
diff changeset
   419
fun full_prop_of (Thm {tpairs, prop, ...}) = attach_tpairs tpairs prop;
16945
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   420
22365
ce62a5f6954c moved some non-kernel material to more_thm.ML;
wenzelm
parents: 22237
diff changeset
   421
val union_hyps = OrdList.union Term.fast_term_ord;
ce62a5f6954c moved some non-kernel material to more_thm.ML;
wenzelm
parents: 22237
diff changeset
   422
16945
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   423
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   424
(* merge theories of cterms/thms; raise exception if incompatible *)
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   425
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   426
fun merge_thys1 (Cterm {thy_ref = r1, ...}) (th as Thm {thy_ref = r2, ...}) =
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   427
  Theory.merge_refs (r1, r2) handle TERM (msg, _) => raise THM (msg, 0, [th]);
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   428
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   429
fun merge_thys2 (th1 as Thm {thy_ref = r1, ...}) (th2 as Thm {thy_ref = r2, ...}) =
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   430
  Theory.merge_refs (r1, r2) handle TERM (msg, _) => raise THM (msg, 0, [th1, th2]);
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   431
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   432
22365
ce62a5f6954c moved some non-kernel material to more_thm.ML;
wenzelm
parents: 22237
diff changeset
   433
(* basic components *)
16135
c66545fe72bf added eq_thms;
wenzelm
parents: 16024
diff changeset
   434
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   435
fun theory_of_thm (Thm {thy_ref, ...}) = Theory.deref thy_ref;
19429
e425e74b01af added maxidx_of;
wenzelm
parents: 19305
diff changeset
   436
fun maxidx_of (Thm {maxidx, ...}) = maxidx;
19910
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
   437
fun maxidx_thm th i = Int.max (maxidx_of th, i);
19881
47937afefdc9 added hyps_of;
wenzelm
parents: 19861
diff changeset
   438
fun hyps_of (Thm {hyps, ...}) = hyps;
12803
37131c76dff6 added prop_of: thm -> term (at last!);
wenzelm
parents: 12500
diff changeset
   439
fun prop_of (Thm {prop, ...}) = prop;
13528
d14fb18343cb added proof_of;
wenzelm
parents: 12982
diff changeset
   440
fun proof_of (Thm {der = (_, proof), ...}) = proof;
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   441
fun tpairs_of (Thm {tpairs, ...}) = tpairs;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   442
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   443
val concl_of = Logic.strip_imp_concl o prop_of;
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   444
val prems_of = Logic.strip_imp_prems o prop_of;
21576
8c11b1ce2f05 simplified Logic.count_prems;
wenzelm
parents: 21437
diff changeset
   445
val nprems_of = Logic.count_prems o prop_of;
19305
5c16895d548b avoid polymorphic equality;
wenzelm
parents: 19230
diff changeset
   446
fun no_prems th = nprems_of th = 0;
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   447
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   448
fun major_prem_of th =
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   449
  (case prems_of th of
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   450
    prem :: _ => Logic.strip_assums_concl prem
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   451
  | [] => raise THM ("major_prem_of: rule with no premises", 0, [th]));
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   452
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   453
(*the statement of any thm is a cterm*)
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   454
fun cprop_of (Thm {thy_ref, maxidx, shyps, prop, ...}) =
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   455
  Cterm {thy_ref = thy_ref, maxidx = maxidx, T = propT, t = prop, sorts = shyps};
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   456
18145
6757627acf59 renamed Thm.cgoal_of to Thm.cprem_of;
wenzelm
parents: 18127
diff changeset
   457
fun cprem_of (th as Thm {thy_ref, maxidx, shyps, prop, ...}) i =
18035
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
   458
  Cterm {thy_ref = thy_ref, maxidx = maxidx, T = propT, sorts = shyps,
18145
6757627acf59 renamed Thm.cgoal_of to Thm.cprem_of;
wenzelm
parents: 18127
diff changeset
   459
    t = Logic.nth_prem (i, prop) handle TERM _ => raise THM ("cprem_of", i, [th])};
18035
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
   460
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   461
(*explicit transfer to a super theory*)
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   462
fun transfer thy' thm =
3895
b2463861c86a added transfer: theory -> thm -> thm;
wenzelm
parents: 3893
diff changeset
   463
  let
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   464
    val Thm {thy_ref, der, tags, maxidx, shyps, hyps, tpairs, prop} = thm;
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   465
    val thy = Theory.deref thy_ref;
3895
b2463861c86a added transfer: theory -> thm -> thm;
wenzelm
parents: 3893
diff changeset
   466
  in
16945
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   467
    if not (subthy (thy, thy')) then
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   468
      raise THM ("transfer: not a super theory", 0, [thm])
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   469
    else if eq_thy (thy, thy') then thm
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   470
    else
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   471
      Thm {thy_ref = Theory.self_ref thy',
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   472
        der = der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   473
        tags = tags,
16945
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   474
        maxidx = maxidx,
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   475
        shyps = shyps,
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   476
        hyps = hyps,
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   477
        tpairs = tpairs,
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   478
        prop = prop}
3895
b2463861c86a added transfer: theory -> thm -> thm;
wenzelm
parents: 3893
diff changeset
   479
  end;
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   480
16945
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   481
(*explicit weakening: maps |- B to A |- B*)
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   482
fun weaken raw_ct th =
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   483
  let
20261
af51389aa756 adjust_maxidx: pass explicit lower bound;
wenzelm
parents: 20071
diff changeset
   484
    val ct as Cterm {t = A, T, sorts, maxidx = maxidxA, ...} = adjust_maxidx_cterm ~1 raw_ct;
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   485
    val Thm {der, tags, maxidx, shyps, hyps, tpairs, prop, ...} = th;
16945
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   486
  in
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   487
    if T <> propT then
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   488
      raise THM ("weaken: assumptions must have type prop", 0, [])
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   489
    else if maxidxA <> ~1 then
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   490
      raise THM ("weaken: assumptions may not contain schematic variables", maxidxA, [])
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   491
    else
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   492
      Thm {thy_ref = merge_thys1 ct th,
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   493
        der = der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   494
        tags = tags,
16945
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   495
        maxidx = maxidx,
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   496
        shyps = Sorts.union sorts shyps,
22365
ce62a5f6954c moved some non-kernel material to more_thm.ML;
wenzelm
parents: 22237
diff changeset
   497
        hyps = OrdList.insert Term.fast_term_ord A hyps,
16945
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   498
        tpairs = tpairs,
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   499
        prop = prop}
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   500
  end;
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   501
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   502
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   503
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   504
(** sort contexts of theorems **)
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   505
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   506
fun present_sorts (Thm {hyps, tpairs, prop, ...}) =
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   507
  fold (fn (t, u) => Sorts.insert_term t o Sorts.insert_term u) tpairs
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   508
    (Sorts.insert_terms hyps (Sorts.insert_term prop []));
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   509
7642
40d912f78db8 removed implies_intr_shyps;
wenzelm
parents: 7534
diff changeset
   510
(*remove extra sorts that are non-empty by virtue of type signature information*)
40d912f78db8 removed implies_intr_shyps;
wenzelm
parents: 7534
diff changeset
   511
fun strip_shyps (thm as Thm {shyps = [], ...}) = thm
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   512
  | strip_shyps (thm as Thm {thy_ref, der, tags, maxidx, shyps, hyps, tpairs, prop}) =
7642
40d912f78db8 removed implies_intr_shyps;
wenzelm
parents: 7534
diff changeset
   513
      let
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   514
        val thy = Theory.deref thy_ref;
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   515
        val shyps' =
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   516
          if Sign.all_sorts_nonempty thy then []
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   517
          else
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   518
            let
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   519
              val present = present_sorts thm;
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   520
              val extra = Sorts.subtract present shyps;
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   521
              val witnessed = map #2 (Sign.witness_sorts thy present extra);
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   522
            in Sorts.subtract witnessed shyps end;
7642
40d912f78db8 removed implies_intr_shyps;
wenzelm
parents: 7534
diff changeset
   523
      in
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   524
        Thm {thy_ref = thy_ref, der = der, tags = tags, maxidx = maxidx,
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   525
          shyps = shyps', hyps = hyps, tpairs = tpairs, prop = prop}
7642
40d912f78db8 removed implies_intr_shyps;
wenzelm
parents: 7534
diff changeset
   526
      end;
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   527
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   528
(*dangling sort constraints of a thm*)
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   529
fun extra_shyps (th as Thm {shyps, ...}) = Sorts.subtract (present_sorts th) shyps;
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   530
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   531
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   532
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   533
(** Axioms **)
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   534
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   535
(*look up the named axiom in the theory or its ancestors*)
15672
32aea1e31eb8 added get_axiom_i, invoke_oracle_i;
wenzelm
parents: 15574
diff changeset
   536
fun get_axiom_i theory name =
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   537
  let
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   538
    fun get_ax thy =
17412
e26cb20ef0cc TableFun/Symtab: curried lookup and update;
wenzelm
parents: 17345
diff changeset
   539
      Symtab.lookup (#2 (#axioms (Theory.rep_theory thy))) name
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   540
      |> Option.map (fn prop =>
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   541
          Thm {thy_ref = Theory.self_ref thy,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   542
            der = Pt.infer_derivs' I (false, Pt.axm_proof name prop),
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   543
            tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   544
            maxidx = maxidx_of_term prop,
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   545
            shyps = may_insert_term_sorts thy prop [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   546
            hyps = [],
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   547
            tpairs = [],
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   548
            prop = prop});
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   549
  in
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   550
    (case get_first get_ax (theory :: Theory.ancestors_of theory) of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15454
diff changeset
   551
      SOME thm => thm
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15454
diff changeset
   552
    | NONE => raise THEORY ("No axiom " ^ quote name, [theory]))
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   553
  end;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   554
16352
d7f9978e5752 axioms: NameSpace.table;
wenzelm
parents: 16287
diff changeset
   555
fun get_axiom thy =
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
   556
  get_axiom_i thy o NameSpace.intern (Theory.axiom_space thy);
15672
32aea1e31eb8 added get_axiom_i, invoke_oracle_i;
wenzelm
parents: 15574
diff changeset
   557
20884
e57588ae7500 added def_name_optional;
wenzelm
parents: 20815
diff changeset
   558
fun def_name c = c ^ "_def";
e57588ae7500 added def_name_optional;
wenzelm
parents: 20815
diff changeset
   559
e57588ae7500 added def_name_optional;
wenzelm
parents: 20815
diff changeset
   560
fun def_name_optional c "" = def_name c
e57588ae7500 added def_name_optional;
wenzelm
parents: 20815
diff changeset
   561
  | def_name_optional _ name = name;
e57588ae7500 added def_name_optional;
wenzelm
parents: 20815
diff changeset
   562
6368
ba5e97a20b12 added def_name;
wenzelm
parents: 6089
diff changeset
   563
fun get_def thy = get_axiom thy o def_name;
4847
ea7d7a65e4e9 tuned get_ax (uses ancestry);
wenzelm
parents: 4820
diff changeset
   564
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   565
776
df8f91c0e57c improved axioms_of: returns thms as the manual says;
wenzelm
parents: 721
diff changeset
   566
(*return additional axioms of this theory node*)
df8f91c0e57c improved axioms_of: returns thms as the manual says;
wenzelm
parents: 721
diff changeset
   567
fun axioms_of thy =
df8f91c0e57c improved axioms_of: returns thms as the manual says;
wenzelm
parents: 721
diff changeset
   568
  map (fn (s, _) => (s, get_axiom thy s))
16352
d7f9978e5752 axioms: NameSpace.table;
wenzelm
parents: 16287
diff changeset
   569
    (Symtab.dest (#2 (#axioms (Theory.rep_theory thy))));
776
df8f91c0e57c improved axioms_of: returns thms as the manual says;
wenzelm
parents: 721
diff changeset
   570
6089
4d2d5556b4f9 signature BASIC_THM;
wenzelm
parents: 5624
diff changeset
   571
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   572
(* official name and additional tags *)
6089
4d2d5556b4f9 signature BASIC_THM;
wenzelm
parents: 5624
diff changeset
   573
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   574
fun get_name (Thm {hyps, prop, der = (_, prf), ...}) =
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   575
  Pt.get_name hyps prop prf;
4018
09b77900af0f added name_of_thm;
wenzelm
parents: 3994
diff changeset
   576
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   577
fun put_name name (Thm {thy_ref, der = (ora, prf), tags, maxidx, shyps, hyps, tpairs = [], prop}) =
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   578
      Thm {thy_ref = thy_ref,
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   579
        der = (ora, Pt.thm_proof (Theory.deref thy_ref) name hyps prop prf),
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   580
        tags = tags, maxidx = maxidx, shyps = shyps, hyps = hyps, tpairs = [], prop = prop}
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   581
  | put_name _ thm = raise THM ("name_thm: unsolved flex-flex constraints", 0, [thm]);
6089
4d2d5556b4f9 signature BASIC_THM;
wenzelm
parents: 5624
diff changeset
   582
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   583
val get_tags = #tags o rep_thm;
6089
4d2d5556b4f9 signature BASIC_THM;
wenzelm
parents: 5624
diff changeset
   584
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   585
fun map_tags f (Thm {thy_ref, der, tags, maxidx, shyps, hyps, tpairs, prop}) =
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   586
  Thm {thy_ref = thy_ref, der = der, tags = f tags, maxidx = maxidx,
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   587
    shyps = shyps, hyps = hyps, tpairs = tpairs, prop = prop};
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   588
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   589
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   590
(*Compression of theorems -- a separate rule, not integrated with the others,
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   591
  as it could be slow.*)
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   592
fun compress (Thm {thy_ref, der, tags, maxidx, shyps, hyps, tpairs, prop}) =
16991
39f5760f72d7 Compress.term;
wenzelm
parents: 16945
diff changeset
   593
  let val thy = Theory.deref thy_ref in
39f5760f72d7 Compress.term;
wenzelm
parents: 16945
diff changeset
   594
    Thm {thy_ref = thy_ref,
39f5760f72d7 Compress.term;
wenzelm
parents: 16945
diff changeset
   595
      der = der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   596
      tags = tags,
16991
39f5760f72d7 Compress.term;
wenzelm
parents: 16945
diff changeset
   597
      maxidx = maxidx,
39f5760f72d7 Compress.term;
wenzelm
parents: 16945
diff changeset
   598
      shyps = shyps,
39f5760f72d7 Compress.term;
wenzelm
parents: 16945
diff changeset
   599
      hyps = map (Compress.term thy) hyps,
39f5760f72d7 Compress.term;
wenzelm
parents: 16945
diff changeset
   600
      tpairs = map (pairself (Compress.term thy)) tpairs,
39f5760f72d7 Compress.term;
wenzelm
parents: 16945
diff changeset
   601
      prop = Compress.term thy prop}
39f5760f72d7 Compress.term;
wenzelm
parents: 16945
diff changeset
   602
  end;
16945
5d3ae25673a8 added weaken, adjust_maxidx_thm;
wenzelm
parents: 16884
diff changeset
   603
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   604
fun adjust_maxidx_thm i (th as Thm {thy_ref, der, tags, maxidx, shyps, hyps, tpairs, prop}) =
20261
af51389aa756 adjust_maxidx: pass explicit lower bound;
wenzelm
parents: 20071
diff changeset
   605
  if maxidx = i then th
af51389aa756 adjust_maxidx: pass explicit lower bound;
wenzelm
parents: 20071
diff changeset
   606
  else if maxidx < i then
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   607
    Thm {maxidx = i, thy_ref = thy_ref, der = der, tags = tags, shyps = shyps,
20261
af51389aa756 adjust_maxidx: pass explicit lower bound;
wenzelm
parents: 20071
diff changeset
   608
      hyps = hyps, tpairs = tpairs, prop = prop}
af51389aa756 adjust_maxidx: pass explicit lower bound;
wenzelm
parents: 20071
diff changeset
   609
  else
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   610
    Thm {maxidx = Int.max (maxidx_tpairs tpairs (maxidx_of_term prop), i), thy_ref = thy_ref,
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   611
      der = der, tags = tags, shyps = shyps, hyps = hyps, tpairs = tpairs, prop = prop};
564
eec3a9222b50 added inferT_axm;
wenzelm
parents: 480
diff changeset
   612
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   613
2509
0a7169d89b7a added termless parameter;
wenzelm
parents: 2386
diff changeset
   614
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   615
(*** Meta rules ***)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   616
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   617
(** primitive rules **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   618
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   619
(*The assumption rule A |- A*)
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   620
fun assume raw_ct =
20261
af51389aa756 adjust_maxidx: pass explicit lower bound;
wenzelm
parents: 20071
diff changeset
   621
  let val Cterm {thy_ref, t = prop, T, maxidx, sorts} = adjust_maxidx_cterm ~1 raw_ct in
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   622
    if T <> propT then
19230
3342e7554b77 Shortened the exception messages from assume.
mengj
parents: 19012
diff changeset
   623
      raise THM ("assume: prop", 0, [])
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   624
    else if maxidx <> ~1 then
19230
3342e7554b77 Shortened the exception messages from assume.
mengj
parents: 19012
diff changeset
   625
      raise THM ("assume: variables", maxidx, [])
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   626
    else Thm {thy_ref = thy_ref,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   627
      der = Pt.infer_derivs' I (false, Pt.Hyp prop),
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   628
      tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   629
      maxidx = ~1,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   630
      shyps = sorts,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   631
      hyps = [prop],
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   632
      tpairs = [],
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   633
      prop = prop}
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   634
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   635
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   636
(*Implication introduction
3529
31186470665f tuned warning;
wenzelm
parents: 3410
diff changeset
   637
    [A]
31186470665f tuned warning;
wenzelm
parents: 3410
diff changeset
   638
     :
31186470665f tuned warning;
wenzelm
parents: 3410
diff changeset
   639
     B
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   640
  -------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   641
  A ==> B
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   642
*)
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   643
fun implies_intr
16679
abd1461fa288 dest_ctyp: raise exception for non-constructor;
wenzelm
parents: 16656
diff changeset
   644
    (ct as Cterm {t = A, T, maxidx = maxidxA, sorts, ...})
abd1461fa288 dest_ctyp: raise exception for non-constructor;
wenzelm
parents: 16656
diff changeset
   645
    (th as Thm {der, maxidx, hyps, shyps, tpairs, prop, ...}) =
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   646
  if T <> propT then
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   647
    raise THM ("implies_intr: assumptions must have type prop", 0, [th])
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   648
  else
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   649
    Thm {thy_ref = merge_thys1 ct th,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   650
      der = Pt.infer_derivs' (Pt.implies_intr_proof A) der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   651
      tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   652
      maxidx = Int.max (maxidxA, maxidx),
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   653
      shyps = Sorts.union sorts shyps,
22365
ce62a5f6954c moved some non-kernel material to more_thm.ML;
wenzelm
parents: 22237
diff changeset
   654
      hyps = OrdList.remove Term.fast_term_ord A hyps,
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   655
      tpairs = tpairs,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   656
      prop = implies $ A $ prop};
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   657
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   658
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   659
(*Implication elimination
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   660
  A ==> B    A
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   661
  ------------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   662
        B
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   663
*)
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   664
fun implies_elim thAB thA =
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   665
  let
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   666
    val Thm {maxidx = maxA, der = derA, hyps = hypsA, shyps = shypsA, tpairs = tpairsA,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   667
      prop = propA, ...} = thA
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   668
    and Thm {der, maxidx, hyps, shyps, tpairs, prop, ...} = thAB;
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   669
    fun err () = raise THM ("implies_elim: major premise", 0, [thAB, thA]);
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   670
  in
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   671
    case prop of
20512
a041c2afb52e ctyp: maintain maxidx;
wenzelm
parents: 20348
diff changeset
   672
      Const ("==>", _) $ A $ B =>
a041c2afb52e ctyp: maintain maxidx;
wenzelm
parents: 20348
diff changeset
   673
        if A aconv propA then
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   674
          Thm {thy_ref = merge_thys2 thAB thA,
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   675
            der = Pt.infer_derivs (curry Pt.%%) der derA,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   676
            tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   677
            maxidx = Int.max (maxA, maxidx),
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   678
            shyps = Sorts.union shypsA shyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   679
            hyps = union_hyps hypsA hyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   680
            tpairs = union_tpairs tpairsA tpairs,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   681
            prop = B}
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   682
        else err ()
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   683
    | _ => err ()
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   684
  end;
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   685
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   686
(*Forall introduction.  The Free or Var x must not be free in the hypotheses.
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   687
    [x]
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   688
     :
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   689
     A
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   690
  ------
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   691
  !!x. A
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   692
*)
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   693
fun forall_intr
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   694
    (ct as Cterm {t = x, T, sorts, ...})
16679
abd1461fa288 dest_ctyp: raise exception for non-constructor;
wenzelm
parents: 16656
diff changeset
   695
    (th as Thm {der, maxidx, shyps, hyps, tpairs, prop, ...}) =
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   696
  let
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   697
    fun result a =
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   698
      Thm {thy_ref = merge_thys1 ct th,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   699
        der = Pt.infer_derivs' (Pt.forall_intr_proof x a) der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   700
        tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   701
        maxidx = maxidx,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   702
        shyps = Sorts.union sorts shyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   703
        hyps = hyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   704
        tpairs = tpairs,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   705
        prop = all T $ Abs (a, T, abstract_over (x, prop))};
21798
a1399df6ecf3 tuned error messages;
wenzelm
parents: 21646
diff changeset
   706
    fun check_occs a x ts =
16847
8fc160b12e73 invoke_oracle: do not keep theory value, but theory_ref;
wenzelm
parents: 16725
diff changeset
   707
      if exists (fn t => Logic.occs (x, t)) ts then
21798
a1399df6ecf3 tuned error messages;
wenzelm
parents: 21646
diff changeset
   708
        raise THM ("forall_intr: variable " ^ quote a ^ " free in assumptions", 0, [th])
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   709
      else ();
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   710
  in
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   711
    case x of
21798
a1399df6ecf3 tuned error messages;
wenzelm
parents: 21646
diff changeset
   712
      Free (a, _) => (check_occs a x hyps; check_occs a x (terms_of_tpairs tpairs); result a)
a1399df6ecf3 tuned error messages;
wenzelm
parents: 21646
diff changeset
   713
    | Var ((a, _), _) => (check_occs a x (terms_of_tpairs tpairs); result a)
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   714
    | _ => raise THM ("forall_intr: not a variable", 0, [th])
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   715
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   716
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   717
(*Forall elimination
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   718
  !!x. A
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   719
  ------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   720
  A[t/x]
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   721
*)
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   722
fun forall_elim
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   723
    (ct as Cterm {t, T, maxidx = maxt, sorts, ...})
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   724
    (th as Thm {der, maxidx, shyps, hyps, tpairs, prop, ...}) =
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   725
  (case prop of
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   726
    Const ("all", Type ("fun", [Type ("fun", [qary, _]), _])) $ A =>
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   727
      if T <> qary then
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   728
        raise THM ("forall_elim: type mismatch", 0, [th])
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   729
      else
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   730
        Thm {thy_ref = merge_thys1 ct th,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   731
          der = Pt.infer_derivs' (Pt.% o rpair (SOME t)) der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   732
          tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   733
          maxidx = Int.max (maxidx, maxt),
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   734
          shyps = Sorts.union sorts shyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   735
          hyps = hyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   736
          tpairs = tpairs,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   737
          prop = Term.betapply (A, t)}
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   738
  | _ => raise THM ("forall_elim: not quantified", 0, [th]));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   739
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   740
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   741
(* Equality *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   742
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   743
(*Reflexivity
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   744
  t == t
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   745
*)
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   746
fun reflexive (ct as Cterm {thy_ref, t, T, maxidx, sorts}) =
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   747
  Thm {thy_ref = thy_ref,
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   748
    der = Pt.infer_derivs' I (false, Pt.reflexive),
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   749
    tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   750
    maxidx = maxidx,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   751
    shyps = sorts,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   752
    hyps = [],
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   753
    tpairs = [],
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   754
    prop = Logic.mk_equals (t, t)};
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   755
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   756
(*Symmetry
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   757
  t == u
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   758
  ------
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   759
  u == t
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   760
*)
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   761
fun symmetric (th as Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop, ...}) =
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   762
  (case prop of
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   763
    (eq as Const ("==", Type (_, [T, _]))) $ t $ u =>
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   764
      Thm {thy_ref = thy_ref,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   765
        der = Pt.infer_derivs' Pt.symmetric der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   766
        tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   767
        maxidx = maxidx,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   768
        shyps = shyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   769
        hyps = hyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   770
        tpairs = tpairs,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   771
        prop = eq $ u $ t}
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   772
    | _ => raise THM ("symmetric", 0, [th]));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   773
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   774
(*Transitivity
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   775
  t1 == u    u == t2
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   776
  ------------------
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   777
       t1 == t2
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   778
*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   779
fun transitive th1 th2 =
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   780
  let
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   781
    val Thm {der = der1, maxidx = max1, hyps = hyps1, shyps = shyps1, tpairs = tpairs1,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   782
      prop = prop1, ...} = th1
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   783
    and Thm {der = der2, maxidx = max2, hyps = hyps2, shyps = shyps2, tpairs = tpairs2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   784
      prop = prop2, ...} = th2;
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   785
    fun err msg = raise THM ("transitive: " ^ msg, 0, [th1, th2]);
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   786
  in
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   787
    case (prop1, prop2) of
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   788
      ((eq as Const ("==", Type (_, [T, _]))) $ t1 $ u, Const ("==", _) $ u' $ t2) =>
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   789
        if not (u aconv u') then err "middle term"
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   790
        else
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   791
          Thm {thy_ref = merge_thys2 th1 th2,
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   792
            der = Pt.infer_derivs (Pt.transitive u T) der1 der2,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   793
            tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   794
            maxidx = Int.max (max1, max2),
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   795
            shyps = Sorts.union shyps1 shyps2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   796
            hyps = union_hyps hyps1 hyps2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   797
            tpairs = union_tpairs tpairs1 tpairs2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   798
            prop = eq $ t1 $ t2}
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   799
     | _ =>  err "premises"
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   800
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   801
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   802
(*Beta-conversion
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   803
  (%x. t)(u) == t[u/x]
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   804
  fully beta-reduces the term if full = true
10416
5b33e732e459 - Moved rewriting functions to meta_simplifier.ML
berghofe
parents: 10348
diff changeset
   805
*)
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   806
fun beta_conversion full (Cterm {thy_ref, t, T, maxidx, sorts}) =
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   807
  let val t' =
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   808
    if full then Envir.beta_norm t
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   809
    else
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   810
      (case t of Abs (_, _, bodt) $ u => subst_bound (u, bodt)
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   811
      | _ => raise THM ("beta_conversion: not a redex", 0, []));
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   812
  in
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   813
    Thm {thy_ref = thy_ref,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   814
      der = Pt.infer_derivs' I (false, Pt.reflexive),
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   815
      tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   816
      maxidx = maxidx,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   817
      shyps = sorts,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   818
      hyps = [],
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   819
      tpairs = [],
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   820
      prop = Logic.mk_equals (t, t')}
10416
5b33e732e459 - Moved rewriting functions to meta_simplifier.ML
berghofe
parents: 10348
diff changeset
   821
  end;
5b33e732e459 - Moved rewriting functions to meta_simplifier.ML
berghofe
parents: 10348
diff changeset
   822
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   823
fun eta_conversion (Cterm {thy_ref, t, T, maxidx, sorts}) =
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   824
  Thm {thy_ref = thy_ref,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   825
    der = Pt.infer_derivs' I (false, Pt.reflexive),
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   826
    tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   827
    maxidx = maxidx,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   828
    shyps = sorts,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   829
    hyps = [],
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   830
    tpairs = [],
18944
7d2ed9063477 union_tpairs: Library.merge;
wenzelm
parents: 18733
diff changeset
   831
    prop = Logic.mk_equals (t, Envir.eta_contract t)};
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   832
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   833
(*The abstraction rule.  The Free or Var x must not be free in the hypotheses.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   834
  The bound variable will be named "a" (since x will be something like x320)
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   835
      t == u
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   836
  --------------
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   837
  %x. t == %x. u
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   838
*)
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   839
fun abstract_rule a
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   840
    (Cterm {t = x, T, sorts, ...})
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   841
    (th as Thm {thy_ref, der, maxidx, hyps, shyps, tpairs, prop, ...}) =
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   842
  let
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   843
    val (t, u) = Logic.dest_equals prop
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   844
      handle TERM _ => raise THM ("abstract_rule: premise not an equality", 0, [th]);
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   845
    val result =
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   846
      Thm {thy_ref = thy_ref,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   847
        der = Pt.infer_derivs' (Pt.abstract_rule x a) der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   848
        tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   849
        maxidx = maxidx,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   850
        shyps = Sorts.union sorts shyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   851
        hyps = hyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   852
        tpairs = tpairs,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   853
        prop = Logic.mk_equals
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   854
          (Abs (a, T, abstract_over (x, t)), Abs (a, T, abstract_over (x, u)))};
21798
a1399df6ecf3 tuned error messages;
wenzelm
parents: 21646
diff changeset
   855
    fun check_occs a x ts =
16847
8fc160b12e73 invoke_oracle: do not keep theory value, but theory_ref;
wenzelm
parents: 16725
diff changeset
   856
      if exists (fn t => Logic.occs (x, t)) ts then
21798
a1399df6ecf3 tuned error messages;
wenzelm
parents: 21646
diff changeset
   857
        raise THM ("abstract_rule: variable " ^ quote a ^ " free in assumptions", 0, [th])
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   858
      else ();
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   859
  in
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   860
    case x of
21798
a1399df6ecf3 tuned error messages;
wenzelm
parents: 21646
diff changeset
   861
      Free (a, _) => (check_occs a x hyps; check_occs a x (terms_of_tpairs tpairs); result)
a1399df6ecf3 tuned error messages;
wenzelm
parents: 21646
diff changeset
   862
    | Var ((a, _), _) => (check_occs a x (terms_of_tpairs tpairs); result)
a1399df6ecf3 tuned error messages;
wenzelm
parents: 21646
diff changeset
   863
    | _ => raise THM ("abstract_rule: not a variable", 0, [th])
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   864
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   865
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   866
(*The combination rule
3529
31186470665f tuned warning;
wenzelm
parents: 3410
diff changeset
   867
  f == g  t == u
31186470665f tuned warning;
wenzelm
parents: 3410
diff changeset
   868
  --------------
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   869
    f t == g u
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   870
*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   871
fun combination th1 th2 =
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   872
  let
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   873
    val Thm {der = der1, maxidx = max1, shyps = shyps1, hyps = hyps1, tpairs = tpairs1,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   874
      prop = prop1, ...} = th1
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   875
    and Thm {der = der2, maxidx = max2, shyps = shyps2, hyps = hyps2, tpairs = tpairs2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   876
      prop = prop2, ...} = th2;
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   877
    fun chktypes fT tT =
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   878
      (case fT of
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   879
        Type ("fun", [T1, T2]) =>
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   880
          if T1 <> tT then
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   881
            raise THM ("combination: types", 0, [th1, th2])
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   882
          else ()
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   883
      | _ => raise THM ("combination: not function type", 0, [th1, th2]));
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   884
  in
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   885
    case (prop1, prop2) of
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   886
      (Const ("==", Type ("fun", [fT, _])) $ f $ g,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   887
       Const ("==", Type ("fun", [tT, _])) $ t $ u) =>
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   888
        (chktypes fT tT;
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   889
          Thm {thy_ref = merge_thys2 th1 th2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   890
            der = Pt.infer_derivs (Pt.combination f g t u fT) der1 der2,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   891
            tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   892
            maxidx = Int.max (max1, max2),
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   893
            shyps = Sorts.union shyps1 shyps2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   894
            hyps = union_hyps hyps1 hyps2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   895
            tpairs = union_tpairs tpairs1 tpairs2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   896
            prop = Logic.mk_equals (f $ t, g $ u)})
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   897
     | _ => raise THM ("combination: premises", 0, [th1, th2])
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   898
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   899
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   900
(*Equality introduction
3529
31186470665f tuned warning;
wenzelm
parents: 3410
diff changeset
   901
  A ==> B  B ==> A
31186470665f tuned warning;
wenzelm
parents: 3410
diff changeset
   902
  ----------------
31186470665f tuned warning;
wenzelm
parents: 3410
diff changeset
   903
       A == B
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   904
*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   905
fun equal_intr th1 th2 =
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   906
  let
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   907
    val Thm {der = der1, maxidx = max1, shyps = shyps1, hyps = hyps1, tpairs = tpairs1,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   908
      prop = prop1, ...} = th1
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   909
    and Thm {der = der2, maxidx = max2, shyps = shyps2, hyps = hyps2, tpairs = tpairs2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   910
      prop = prop2, ...} = th2;
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   911
    fun err msg = raise THM ("equal_intr: " ^ msg, 0, [th1, th2]);
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   912
  in
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   913
    case (prop1, prop2) of
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   914
      (Const("==>", _) $ A $ B, Const("==>", _) $ B' $ A') =>
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   915
        if A aconv A' andalso B aconv B' then
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   916
          Thm {thy_ref = merge_thys2 th1 th2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   917
            der = Pt.infer_derivs (Pt.equal_intr A B) der1 der2,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   918
            tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   919
            maxidx = Int.max (max1, max2),
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   920
            shyps = Sorts.union shyps1 shyps2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   921
            hyps = union_hyps hyps1 hyps2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   922
            tpairs = union_tpairs tpairs1 tpairs2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   923
            prop = Logic.mk_equals (A, B)}
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   924
        else err "not equal"
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   925
    | _ =>  err "premises"
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   926
  end;
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   927
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   928
(*The equal propositions rule
3529
31186470665f tuned warning;
wenzelm
parents: 3410
diff changeset
   929
  A == B  A
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   930
  ---------
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   931
      B
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   932
*)
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   933
fun equal_elim th1 th2 =
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   934
  let
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   935
    val Thm {der = der1, maxidx = max1, shyps = shyps1, hyps = hyps1,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   936
      tpairs = tpairs1, prop = prop1, ...} = th1
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   937
    and Thm {der = der2, maxidx = max2, shyps = shyps2, hyps = hyps2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   938
      tpairs = tpairs2, prop = prop2, ...} = th2;
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   939
    fun err msg = raise THM ("equal_elim: " ^ msg, 0, [th1, th2]);
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   940
  in
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   941
    case prop1 of
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   942
      Const ("==", _) $ A $ B =>
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   943
        if prop2 aconv A then
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   944
          Thm {thy_ref = merge_thys2 th1 th2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   945
            der = Pt.infer_derivs (Pt.equal_elim A B) der1 der2,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   946
            tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   947
            maxidx = Int.max (max1, max2),
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   948
            shyps = Sorts.union shyps1 shyps2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   949
            hyps = union_hyps hyps1 hyps2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   950
            tpairs = union_tpairs tpairs1 tpairs2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   951
            prop = B}
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   952
        else err "not equal"
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   953
     | _ =>  err"major premise"
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
   954
  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   955
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   956
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   957
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   958
(**** Derived rules ****)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   959
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   960
(*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
   961
  Instantiates the theorem and deletes trivial tpairs.
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   962
  Resulting sequence may contain multiple elements if the tpairs are
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   963
    not all flex-flex. *)
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   964
fun flexflex_rule (th as Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop, ...}) =
19861
620d90091788 tuned Seq/Envir/Unify interfaces;
wenzelm
parents: 19525
diff changeset
   965
  Unify.smash_unifiers (Theory.deref thy_ref) tpairs (Envir.empty maxidx)
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   966
  |> Seq.map (fn env =>
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   967
      if Envir.is_empty env then th
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   968
      else
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   969
        let
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   970
          val tpairs' = tpairs |> map (pairself (Envir.norm_term env))
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   971
            (*remove trivial tpairs, of the form t==t*)
16884
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
   972
            |> filter_out (op aconv);
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   973
          val prop' = Envir.norm_term env prop;
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   974
        in
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   975
          Thm {thy_ref = thy_ref,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   976
            der = Pt.infer_derivs' (Pt.norm_proof' env) der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   977
            tags = [],
16711
2c1f9640b744 tuned maxidx;
wenzelm
parents: 16679
diff changeset
   978
            maxidx = maxidx_tpairs tpairs' (maxidx_of_term prop'),
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
   979
            shyps = may_insert_env_sorts (Theory.deref thy_ref) env shyps,
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   980
            hyps = hyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   981
            tpairs = tpairs',
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   982
            prop = prop'}
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   983
        end);
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
   984
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   985
19910
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
   986
(*Generalization of fixed variables
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
   987
           A
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
   988
  --------------------
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
   989
  A[?'a/'a, ?x/x, ...]
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
   990
*)
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
   991
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
   992
fun generalize ([], []) _ th = th
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
   993
  | generalize (tfrees, frees) idx th =
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
   994
      let
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
   995
        val Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop, ...} = th;
19910
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
   996
        val _ = idx <= maxidx andalso raise THM ("generalize: bad index", idx, [th]);
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
   997
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
   998
        val bad_type = if null tfrees then K false else
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
   999
          Term.exists_subtype (fn TFree (a, _) => member (op =) tfrees a | _ => false);
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1000
        fun bad_term (Free (x, T)) = bad_type T orelse member (op =) frees x
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1001
          | bad_term (Var (_, T)) = bad_type T
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1002
          | bad_term (Const (_, T)) = bad_type T
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1003
          | bad_term (Abs (_, T, t)) = bad_type T orelse bad_term t
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1004
          | bad_term (t $ u) = bad_term t orelse bad_term u
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1005
          | bad_term (Bound _) = false;
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1006
        val _ = exists bad_term hyps andalso
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1007
          raise THM ("generalize: variable free in assumptions", 0, [th]);
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1008
20512
a041c2afb52e ctyp: maintain maxidx;
wenzelm
parents: 20348
diff changeset
  1009
        val gen = TermSubst.generalize (tfrees, frees) idx;
19910
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1010
        val prop' = gen prop;
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1011
        val tpairs' = map (pairself gen) tpairs;
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1012
        val maxidx' = maxidx_tpairs tpairs' (maxidx_of_term prop');
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1013
      in
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1014
        Thm {
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1015
          thy_ref = thy_ref,
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1016
          der = Pt.infer_derivs' (Pt.generalize (tfrees, frees) idx) der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
  1017
          tags = [],
19910
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1018
          maxidx = maxidx',
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1019
          shyps = shyps,
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1020
          hyps = hyps,
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1021
          tpairs = tpairs',
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1022
          prop = prop'}
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1023
      end;
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1024
2b4a222fef3c added generalize rule;
wenzelm
parents: 19881
diff changeset
  1025
22584
d0f0f37ec346 improved exception CTERM;
wenzelm
parents: 22573
diff changeset
  1026
(*Instantiation of schematic variables
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
  1027
           A
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
  1028
  --------------------
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
  1029
  A[t1/v1, ..., tn/vn]
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
  1030
*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1031
6928
9b4cd97b459d improved error msgs of instantiate;
wenzelm
parents: 6899
diff changeset
  1032
local
9b4cd97b459d improved error msgs of instantiate;
wenzelm
parents: 6899
diff changeset
  1033
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
  1034
fun pretty_typing thy t T =
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
  1035
  Pretty.block [Sign.pretty_term thy t, Pretty.str " ::", Pretty.brk 1, Sign.pretty_typ thy T];
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15672
diff changeset
  1036
16884
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1037
fun add_inst (ct, cu) (thy_ref, sorts) =
6928
9b4cd97b459d improved error msgs of instantiate;
wenzelm
parents: 6899
diff changeset
  1038
  let
16884
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1039
    val Cterm {t = t, T = T, ...} = ct
20512
a041c2afb52e ctyp: maintain maxidx;
wenzelm
parents: 20348
diff changeset
  1040
    and Cterm {t = u, T = U, sorts = sorts_u, maxidx = maxidx_u, ...} = cu;
16884
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1041
    val thy_ref' = Theory.merge_refs (thy_ref, merge_thys0 ct cu);
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1042
    val sorts' = Sorts.union sorts_u sorts;
3967
edd5ff9371f8 sg_ref: automatic adjustment of thms of draft theories;
wenzelm
parents: 3895
diff changeset
  1043
  in
16884
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1044
    (case t of Var v =>
20512
a041c2afb52e ctyp: maintain maxidx;
wenzelm
parents: 20348
diff changeset
  1045
      if T = U then ((v, (u, maxidx_u)), (thy_ref', sorts'))
16884
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1046
      else raise TYPE (Pretty.string_of (Pretty.block
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1047
       [Pretty.str "instantiate: type conflict",
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1048
        Pretty.fbrk, pretty_typing (Theory.deref thy_ref') t T,
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1049
        Pretty.fbrk, pretty_typing (Theory.deref thy_ref') u U]), [T, U], [t, u])
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1050
    | _ => raise TYPE (Pretty.string_of (Pretty.block
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1051
       [Pretty.str "instantiate: not a variable",
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1052
        Pretty.fbrk, Sign.pretty_term (Theory.deref thy_ref') t]), [], [t]))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1053
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1054
16884
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1055
fun add_instT (cT, cU) (thy_ref, sorts) =
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
  1056
  let
16884
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1057
    val Ctyp {T, thy_ref = thy_ref1, ...} = cT
20512
a041c2afb52e ctyp: maintain maxidx;
wenzelm
parents: 20348
diff changeset
  1058
    and Ctyp {T = U, thy_ref = thy_ref2, sorts = sorts_U, maxidx = maxidx_U, ...} = cU;
16884
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1059
    val thy_ref' = Theory.merge_refs (thy_ref, Theory.merge_refs (thy_ref1, thy_ref2));
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1060
    val thy' = Theory.deref thy_ref';
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1061
    val sorts' = Sorts.union sorts_U sorts;
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
  1062
  in
16884
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1063
    (case T of TVar (v as (_, S)) =>
20512
a041c2afb52e ctyp: maintain maxidx;
wenzelm
parents: 20348
diff changeset
  1064
      if Sign.of_sort thy' (U, S) then ((v, (U, maxidx_U)), (thy_ref', sorts'))
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
  1065
      else raise TYPE ("Type not of sort " ^ Sign.string_of_sort thy' S, [U], [])
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
  1066
    | _ => raise TYPE (Pretty.string_of (Pretty.block
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15672
diff changeset
  1067
        [Pretty.str "instantiate: not a type variable",
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
  1068
         Pretty.fbrk, Sign.pretty_typ thy' T]), [T], []))
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
  1069
  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1070
6928
9b4cd97b459d improved error msgs of instantiate;
wenzelm
parents: 6899
diff changeset
  1071
in
9b4cd97b459d improved error msgs of instantiate;
wenzelm
parents: 6899
diff changeset
  1072
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1073
(*Left-to-right replacements: ctpairs = [..., (vi, ti), ...].
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1074
  Instantiates distinct Vars by terms of same type.
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1075
  Does NOT normalize the resulting theorem!*)
1529
09d9ad015269 Addition of proof objects
paulson
parents: 1517
diff changeset
  1076
fun instantiate ([], []) th = th
16884
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1077
  | instantiate (instT, inst) th =
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
  1078
      let
16884
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1079
        val Thm {thy_ref, der, hyps, shyps, tpairs, prop, ...} = th;
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1080
        val (inst', (instT', (thy_ref', shyps'))) =
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1081
          (thy_ref, shyps) |> fold_map add_inst inst ||> fold_map add_instT instT;
20512
a041c2afb52e ctyp: maintain maxidx;
wenzelm
parents: 20348
diff changeset
  1082
        val subst = TermSubst.instantiate_maxidx (instT', inst');
a041c2afb52e ctyp: maintain maxidx;
wenzelm
parents: 20348
diff changeset
  1083
        val (prop', maxidx1) = subst prop ~1;
a041c2afb52e ctyp: maintain maxidx;
wenzelm
parents: 20348
diff changeset
  1084
        val (tpairs', maxidx') =
a041c2afb52e ctyp: maintain maxidx;
wenzelm
parents: 20348
diff changeset
  1085
          fold_map (fn (t, u) => fn i => subst t i ||>> subst u) tpairs maxidx1;
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
  1086
      in
20545
4c1068697159 instantiate: omit has_duplicates check, which is irrelevant for soundness;
wenzelm
parents: 20512
diff changeset
  1087
        Thm {thy_ref = thy_ref',
4c1068697159 instantiate: omit has_duplicates check, which is irrelevant for soundness;
wenzelm
parents: 20512
diff changeset
  1088
          der = Pt.infer_derivs' (fn d =>
4c1068697159 instantiate: omit has_duplicates check, which is irrelevant for soundness;
wenzelm
parents: 20512
diff changeset
  1089
            Pt.instantiate (map (apsnd #1) instT', map (apsnd #1) inst') d) der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
  1090
          tags = [],
20545
4c1068697159 instantiate: omit has_duplicates check, which is irrelevant for soundness;
wenzelm
parents: 20512
diff changeset
  1091
          maxidx = maxidx',
4c1068697159 instantiate: omit has_duplicates check, which is irrelevant for soundness;
wenzelm
parents: 20512
diff changeset
  1092
          shyps = shyps',
4c1068697159 instantiate: omit has_duplicates check, which is irrelevant for soundness;
wenzelm
parents: 20512
diff changeset
  1093
          hyps = hyps,
4c1068697159 instantiate: omit has_duplicates check, which is irrelevant for soundness;
wenzelm
parents: 20512
diff changeset
  1094
          tpairs = tpairs',
4c1068697159 instantiate: omit has_duplicates check, which is irrelevant for soundness;
wenzelm
parents: 20512
diff changeset
  1095
          prop = prop'}
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
  1096
      end
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
  1097
      handle TYPE (msg, _, _) => raise THM (msg, 0, [th]);
6928
9b4cd97b459d improved error msgs of instantiate;
wenzelm
parents: 6899
diff changeset
  1098
22584
d0f0f37ec346 improved exception CTERM;
wenzelm
parents: 22573
diff changeset
  1099
fun instantiate_cterm ([], []) ct = ct
d0f0f37ec346 improved exception CTERM;
wenzelm
parents: 22573
diff changeset
  1100
  | instantiate_cterm (instT, inst) ct =
d0f0f37ec346 improved exception CTERM;
wenzelm
parents: 22573
diff changeset
  1101
      let
d0f0f37ec346 improved exception CTERM;
wenzelm
parents: 22573
diff changeset
  1102
        val Cterm {thy_ref, t, T, sorts, ...} = ct;
d0f0f37ec346 improved exception CTERM;
wenzelm
parents: 22573
diff changeset
  1103
        val (inst', (instT', (thy_ref', sorts'))) =
d0f0f37ec346 improved exception CTERM;
wenzelm
parents: 22573
diff changeset
  1104
          (thy_ref, sorts) |> fold_map add_inst inst ||> fold_map add_instT instT;
d0f0f37ec346 improved exception CTERM;
wenzelm
parents: 22573
diff changeset
  1105
        val subst = TermSubst.instantiate_maxidx (instT', inst');
d0f0f37ec346 improved exception CTERM;
wenzelm
parents: 22573
diff changeset
  1106
        val substT = TermSubst.instantiateT_maxidx instT';
d0f0f37ec346 improved exception CTERM;
wenzelm
parents: 22573
diff changeset
  1107
        val (t', maxidx1) = subst t ~1;
d0f0f37ec346 improved exception CTERM;
wenzelm
parents: 22573
diff changeset
  1108
        val (T', maxidx') = substT T maxidx1;
d0f0f37ec346 improved exception CTERM;
wenzelm
parents: 22573
diff changeset
  1109
      in Cterm {thy_ref = thy_ref', t = t', T = T', sorts = sorts', maxidx = maxidx'} end
d0f0f37ec346 improved exception CTERM;
wenzelm
parents: 22573
diff changeset
  1110
      handle TYPE (msg, _, _) => raise CTERM (msg, [ct]);
d0f0f37ec346 improved exception CTERM;
wenzelm
parents: 22573
diff changeset
  1111
6928
9b4cd97b459d improved error msgs of instantiate;
wenzelm
parents: 6899
diff changeset
  1112
end;
9b4cd97b459d improved error msgs of instantiate;
wenzelm
parents: 6899
diff changeset
  1113
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1114
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1115
(*The trivial implication A ==> A, justified by assume and forall rules.
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1116
  A can contain Vars, not so for assume!*)
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1117
fun trivial (Cterm {thy_ref, t =A, T, maxidx, sorts}) =
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1118
  if T <> propT then
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1119
    raise THM ("trivial: the term must have type prop", 0, [])
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1120
  else
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1121
    Thm {thy_ref = thy_ref,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1122
      der = Pt.infer_derivs' I (false, Pt.AbsP ("H", NONE, Pt.PBound 0)),
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
  1123
      tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1124
      maxidx = maxidx,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1125
      shyps = sorts,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1126
      hyps = [],
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1127
      tpairs = [],
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1128
      prop = implies $ A $ A};
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1129
1503
7dba648ee25c Elimination of fully-functorial style.
paulson
parents: 1495
diff changeset
  1130
(*Axiom-scheme reflecting signature contents: "OFCLASS(?'a::c, c_class)" *)
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
  1131
fun class_triv thy c =
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1132
  let val Cterm {thy_ref, t, maxidx, sorts, ...} =
19525
0cd0bf32ac58 class_triv: Sign.certify_class;
wenzelm
parents: 19505
diff changeset
  1133
    cterm_of thy (Logic.mk_inclass (TVar (("'a", 0), [c]), Sign.certify_class thy c))
6368
ba5e97a20b12 added def_name;
wenzelm
parents: 6089
diff changeset
  1134
      handle TERM (msg, _) => raise THM ("class_triv: " ^ msg, 0, []);
399
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
  1135
  in
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1136
    Thm {thy_ref = thy_ref,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1137
      der = Pt.infer_derivs' I (false, Pt.PAxm ("ProtoPure.class_triv:" ^ c, t, SOME [])),
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
  1138
      tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1139
      maxidx = maxidx,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1140
      shyps = sorts,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1141
      hyps = [],
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1142
      tpairs = [],
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1143
      prop = t}
399
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
  1144
  end;
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
  1145
19505
0b345cf953c4 added unconstrainT;
wenzelm
parents: 19475
diff changeset
  1146
(*Internalize sort constraints of type variable*)
0b345cf953c4 added unconstrainT;
wenzelm
parents: 19475
diff changeset
  1147
fun unconstrainT
0b345cf953c4 added unconstrainT;
wenzelm
parents: 19475
diff changeset
  1148
    (Ctyp {thy_ref = thy_ref1, T, ...})
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
  1149
    (th as Thm {thy_ref = thy_ref2, der, maxidx, shyps, hyps, tpairs, prop, ...}) =
19505
0b345cf953c4 added unconstrainT;
wenzelm
parents: 19475
diff changeset
  1150
  let
0b345cf953c4 added unconstrainT;
wenzelm
parents: 19475
diff changeset
  1151
    val ((x, i), S) = Term.dest_TVar T handle TYPE _ =>
0b345cf953c4 added unconstrainT;
wenzelm
parents: 19475
diff changeset
  1152
      raise THM ("unconstrainT: not a type variable", 0, [th]);
0b345cf953c4 added unconstrainT;
wenzelm
parents: 19475
diff changeset
  1153
    val T' = TVar ((x, i), []);
20548
8ef25fe585a8 renamed Term.map_term_types to Term.map_types (cf. Term.fold_types);
wenzelm
parents: 20545
diff changeset
  1154
    val unconstrain = Term.map_types (Term.map_atyps (fn U => if U = T then T' else U));
19505
0b345cf953c4 added unconstrainT;
wenzelm
parents: 19475
diff changeset
  1155
    val constraints = map (curry Logic.mk_inclass T') S;
0b345cf953c4 added unconstrainT;
wenzelm
parents: 19475
diff changeset
  1156
  in
0b345cf953c4 added unconstrainT;
wenzelm
parents: 19475
diff changeset
  1157
    Thm {thy_ref = Theory.merge_refs (thy_ref1, thy_ref2),
0b345cf953c4 added unconstrainT;
wenzelm
parents: 19475
diff changeset
  1158
      der = Pt.infer_derivs' I (false, Pt.PAxm ("ProtoPure.unconstrainT", prop, SOME [])),
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
  1159
      tags = [],
19505
0b345cf953c4 added unconstrainT;
wenzelm
parents: 19475
diff changeset
  1160
      maxidx = Int.max (maxidx, i),
0b345cf953c4 added unconstrainT;
wenzelm
parents: 19475
diff changeset
  1161
      shyps = Sorts.remove_sort S shyps,
0b345cf953c4 added unconstrainT;
wenzelm
parents: 19475
diff changeset
  1162
      hyps = hyps,
0b345cf953c4 added unconstrainT;
wenzelm
parents: 19475
diff changeset
  1163
      tpairs = map (pairself unconstrain) tpairs,
0b345cf953c4 added unconstrainT;
wenzelm
parents: 19475
diff changeset
  1164
      prop = Logic.list_implies (constraints, unconstrain prop)}
0b345cf953c4 added unconstrainT;
wenzelm
parents: 19475
diff changeset
  1165
  end;
399
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
  1166
6786
0af1797d5315 varifyT': observe additional 'fixed' tfrees;
wenzelm
parents: 6539
diff changeset
  1167
(* Replace all TFrees not fixed or in the hyps by new TVars *)
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
  1168
fun varifyT' fixed (Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop, ...}) =
12500
0a6667d65e9b varifyT' returns newly introduces variables;
wenzelm
parents: 11692
diff changeset
  1169
  let
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15672
diff changeset
  1170
    val tfrees = foldr add_term_tfrees fixed hyps;
13658
c9ad3e64ddcf Changed handling of flex-flex constraints: now stored in separate
berghofe
parents: 13642
diff changeset
  1171
    val prop1 = attach_tpairs tpairs prop;
21116
be58cded79da fixed type signature of Type.varify
haftmann
parents: 20972
diff changeset
  1172
    val (al, prop2) = Type.varify tfrees prop1;
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1173
    val (ts, prop3) = Logic.strip_prems (length tpairs, [], prop2);
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1174
  in
18127
9f03d8a9a81b Thm.varifyT': natural argument order;
wenzelm
parents: 18035
diff changeset
  1175
    (al, Thm {thy_ref = thy_ref,
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1176
      der = Pt.infer_derivs' (Pt.varify_proof prop tfrees) der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
  1177
      tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1178
      maxidx = Int.max (0, maxidx),
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1179
      shyps = shyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1180
      hyps = hyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1181
      tpairs = rev (map Logic.dest_equals ts),
18127
9f03d8a9a81b Thm.varifyT': natural argument order;
wenzelm
parents: 18035
diff changeset
  1182
      prop = prop3})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1183
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1184
18127
9f03d8a9a81b Thm.varifyT': natural argument order;
wenzelm
parents: 18035
diff changeset
  1185
val varifyT = #2 o varifyT' [];
6786
0af1797d5315 varifyT': observe additional 'fixed' tfrees;
wenzelm
parents: 6539
diff changeset
  1186
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1187
(* Replace all TVars by new TFrees *)
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
  1188
fun freezeT (Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop, ...}) =
13658
c9ad3e64ddcf Changed handling of flex-flex constraints: now stored in separate
berghofe
parents: 13642
diff changeset
  1189
  let
c9ad3e64ddcf Changed handling of flex-flex constraints: now stored in separate
berghofe
parents: 13642
diff changeset
  1190
    val prop1 = attach_tpairs tpairs prop;
16287
7a03b4b4df67 Type.freeze;
wenzelm
parents: 16135
diff changeset
  1191
    val prop2 = Type.freeze prop1;
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1192
    val (ts, prop3) = Logic.strip_prems (length tpairs, [], prop2);
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1193
  in
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1194
    Thm {thy_ref = thy_ref,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1195
      der = Pt.infer_derivs' (Pt.freezeT prop1) der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
  1196
      tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1197
      maxidx = maxidx_of_term prop2,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1198
      shyps = shyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1199
      hyps = hyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1200
      tpairs = rev (map Logic.dest_equals ts),
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1201
      prop = prop3}
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
  1202
  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1203
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1204
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1205
(*** Inference rules for tactics ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1206
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1207
(*Destruct proof state into constraints, other goals, goal(i), rest *)
13658
c9ad3e64ddcf Changed handling of flex-flex constraints: now stored in separate
berghofe
parents: 13642
diff changeset
  1208
fun dest_state (state as Thm{prop,tpairs,...}, i) =
c9ad3e64ddcf Changed handling of flex-flex constraints: now stored in separate
berghofe
parents: 13642
diff changeset
  1209
  (case  Logic.strip_prems(i, [], prop) of
c9ad3e64ddcf Changed handling of flex-flex constraints: now stored in separate
berghofe
parents: 13642
diff changeset
  1210
      (B::rBs, C) => (tpairs, rev rBs, B, C)
c9ad3e64ddcf Changed handling of flex-flex constraints: now stored in separate
berghofe
parents: 13642
diff changeset
  1211
    | _ => raise THM("dest_state", i, [state]))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1212
  handle TERM _ => raise THM("dest_state", i, [state]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1213
309
3751567696bf restored the signature constraint :THM
lcp
parents: 305
diff changeset
  1214
(*Increment variables and parameters of orule as required for
18035
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
  1215
  resolution with a goal.*)
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
  1216
fun lift_rule goal orule =
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1217
  let
18035
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
  1218
    val Cterm {t = gprop, T, maxidx = gmax, sorts, ...} = goal;
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
  1219
    val inc = gmax + 1;
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
  1220
    val lift_abs = Logic.lift_abs inc gprop;
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
  1221
    val lift_all = Logic.lift_all inc gprop;
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
  1222
    val Thm {der, maxidx, shyps, hyps, tpairs, prop, ...} = orule;
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1223
    val (As, B) = Logic.strip_horn prop;
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1224
  in
18035
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
  1225
    if T <> propT then raise THM ("lift_rule: the term must have type prop", 0, [])
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
  1226
    else
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
  1227
      Thm {thy_ref = merge_thys1 goal orule,
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
  1228
        der = Pt.infer_derivs' (Pt.lift_proof gprop inc prop) der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
  1229
        tags = [],
18035
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
  1230
        maxidx = maxidx + inc,
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
  1231
        shyps = Sorts.union shyps sorts,  (*sic!*)
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
  1232
        hyps = hyps,
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
  1233
        tpairs = map (pairself lift_abs) tpairs,
eaae44affc9e added cgoal_of;
wenzelm
parents: 17868
diff changeset
  1234
        prop = Logic.list_implies (map lift_all As, lift_all B)}
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1235
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1236
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
  1237
fun incr_indexes i (thm as Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop, ...}) =
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1238
  if i < 0 then raise THM ("negative increment", 0, [thm])
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1239
  else if i = 0 then thm
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1240
  else
16425
2427be27cc60 accomodate identification of type Sign.sg and theory;
wenzelm
parents: 16352
diff changeset
  1241
    Thm {thy_ref = thy_ref,
16884
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1242
      der = Pt.infer_derivs'
1678a796b6b2 tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents: 16847
diff changeset
  1243
        (Pt.map_proof_terms (Logic.incr_indexes ([], i)) (Logic.incr_tvar i)) der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
  1244
      tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1245
      maxidx = maxidx + i,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1246
      shyps = shyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1247
      hyps = hyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1248
      tpairs = map (pairself (Logic.incr_indexes ([], i))) tpairs,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1249
      prop = Logic.incr_indexes ([], i) prop};
10416
5b33e732e459 - Moved rewriting functions to meta_simplifier.ML
berghofe
parents: 10348
diff changeset
  1250
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1251
(*Solve subgoal Bi of proof state B1...Bn/C by assumption. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1252
fun assumption i state =
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1253
  let
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1254
    val Thm {thy_ref, der, maxidx, shyps, hyps, prop, ...} = state;
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
  1255
    val thy = Theory.deref thy_ref;
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1256
    val (tpairs, Bs, Bi, C) = dest_state (state, i);
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1257
    fun newth n (env as Envir.Envir {maxidx, ...}, tpairs) =
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1258
      Thm {thy_ref = thy_ref,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1259
        der = Pt.infer_derivs'
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1260
          ((if Envir.is_empty env then I else (Pt.norm_proof' env)) o
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1261
            Pt.assumption_proof Bs Bi n) der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
  1262
        tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1263
        maxidx = maxidx,
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
  1264
        shyps = may_insert_env_sorts thy env shyps,
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1265
        hyps = hyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1266
        tpairs =
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1267
          if Envir.is_empty env then tpairs
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1268
          else map (pairself (Envir.norm_term env)) tpairs,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1269
        prop =
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1270
          if Envir.is_empty env then (*avoid wasted normalizations*)
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1271
            Logic.list_implies (Bs, C)
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1272
          else (*normalize the new rule fully*)
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1273
            Envir.norm_term env (Logic.list_implies (Bs, C))};
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1274
    fun addprfs [] _ = Seq.empty
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1275
      | addprfs ((t, u) :: apairs) n = Seq.make (fn () => Seq.pull
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1276
          (Seq.mapp (newth n)
16656
18b0cb22057d ctyp: added 'sorts' field;
wenzelm
parents: 16601
diff changeset
  1277
            (Unify.unifiers (thy, Envir.empty maxidx, (t, u) :: tpairs))
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1278
            (addprfs apairs (n + 1))))
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1279
  in addprfs (Logic.assum_pairs (~1, Bi)) 1 end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1280
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1281
(*Solve subgoal Bi of proof state B1...Bn/C by assumption.
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1282
  Checks if Bi's conclusion is alpha-convertible to one of its assumptions*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1283
fun eq_assumption i state =
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1284
  let
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1285
    val Thm {thy_ref, der, maxidx, shyps, hyps, prop, ...} = state;
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1286
    val (tpairs, Bs, Bi, C) = dest_state (state, i);
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1287
  in
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1288
    (case find_index (op aconv) (Logic.assum_pairs (~1, Bi)) of
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1289
      ~1 => raise THM ("eq_assumption", 0, [state])
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1290
    | n =>
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1291
        Thm {thy_ref = thy_ref,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1292
          der = Pt.infer_derivs' (Pt.assumption_proof Bs Bi (n + 1)) der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
  1293
          tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1294
          maxidx = maxidx,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1295
          shyps = shyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1296
          hyps = hyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1297
          tpairs = tpairs,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1298
          prop = Logic.list_implies (Bs, C)})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1299
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1300
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1301
2671
510d94c71dda Introduction of rotate_rule
paulson
parents: 2626
diff changeset
  1302
(*For rotate_tac: fast rotation of assumptions of subgoal i*)
510d94c71dda Introduction of rotate_rule
paulson
parents: 2626
diff changeset
  1303
fun rotate_rule k i state =
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1304
  let
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1305
    val Thm {thy_ref, der, maxidx, shyps, hyps, prop, ...} = state;
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1306
    val (tpairs, Bs, Bi, C) = dest_state (state, i);
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1307
    val params = Term.strip_all_vars Bi
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1308
    and rest   = Term.strip_all_body Bi;
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1309
    val asms   = Logic.strip_imp_prems rest
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1310
    and concl  = Logic.strip_imp_concl rest;
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1311
    val n = length asms;
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1312
    val m = if k < 0 then n + k else k;
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1313
    val Bi' =
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1314
      if 0 = m orelse m = n then Bi
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1315
      else if 0 < m andalso m < n then
19012
wenzelm
parents: 18969
diff changeset
  1316
        let val (ps, qs) = chop m asms
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1317
        in list_all (params, Logic.list_implies (qs @ ps, concl)) end
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1318
      else raise THM ("rotate_rule", k, [state]);
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1319
  in
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1320
    Thm {thy_ref = thy_ref,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1321
      der = Pt.infer_derivs' (Pt.rotate_proof Bs Bi m) der,
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21576
diff changeset
  1322
      tags = [],
16601
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1323
      maxidx = maxidx,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1324
      shyps = shyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1325
      hyps = hyps,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset
  1326
      tpairs = tpairs,
ee8eefade568 more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents: 16425
diff changeset