author | wenzelm |
Mon, 06 Feb 2006 20:59:11 +0100 | |
changeset 18944 | 7d2ed9063477 |
parent 18733 | 0508c8017839 |
child 18969 | 49aa2c8791ba |
permissions | -rw-r--r-- |
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(* Title: Pure/thm.ML |
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ID: $Id$ |
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Author: Lawrence C Paulson, Cambridge University Computer Laboratory |
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Copyright 1994 University of Cambridge |
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The 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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||
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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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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 |
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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 sign_of_cterm: cterm -> theory (*obsolete*) |
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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 adjust_maxidx: cterm -> 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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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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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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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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type attribute (* = Context.generic * thm -> Context.generic * thm *) |
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val eq_thm: thm * thm -> bool |
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val eq_thms: thm list * thm list -> bool |
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val theory_of_thm: thm -> theory |
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val sign_of_thm: thm -> theory (*obsolete*) |
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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 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 instantiate: (ctyp * ctyp) list * (cterm * cterm) list -> thm -> thm |
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val trivial: cterm -> thm |
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val class_triv: theory -> class -> thm |
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val varifyT: thm -> thm |
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val varifyT': (string * sort) list -> thm -> ((string * sort) * indexname) list * thm |
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val freezeT: 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_abs: string option -> cterm -> cterm * cterm |
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val capply: cterm -> cterm -> cterm |
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val cabs: cterm -> cterm -> cterm |
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val major_prem_of: thm -> term |
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val no_prems: thm -> bool |
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val rule_attribute: (Context.generic -> thm -> thm) -> attribute |
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val declaration_attribute: (thm -> Context.generic -> Context.generic) -> attribute |
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val theory_attributes: attribute list -> theory * thm -> theory * thm |
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val proof_attributes: attribute list -> Context.proof * thm -> Context.proof * thm |
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val no_attributes: 'a -> 'a * 'b list |
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val simple_fact: 'a -> ('a * 'b list) list |
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val terms_of_tpairs: (term * term) list -> term list |
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val full_prop_of: thm -> term |
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val get_name_tags: thm -> string * tag list |
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val put_name_tags: string * tag list -> thm -> thm |
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val name_of_thm: thm -> string |
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val tags_of_thm: thm -> tag list |
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val name_thm: string * thm -> thm |
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val compress: thm -> thm |
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val adjust_maxidx_thm: 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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end; |
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||
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structure Thm: THM = |
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struct |
250 | 167 |
|
16656 | 168 |
|
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169 |
(*** Certified terms and types ***) |
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|
16656 | 171 |
(** collect occurrences of sorts -- unless all sorts non-empty **) |
172 |
||
16679 | 173 |
fun may_insert_typ_sorts thy T = if Sign.all_sorts_nonempty thy then I else Sorts.insert_typ T; |
174 |
fun may_insert_term_sorts thy t = if Sign.all_sorts_nonempty thy then I else Sorts.insert_term t; |
|
16656 | 175 |
|
176 |
(*NB: type unification may invent new sorts*) |
|
177 |
fun may_insert_env_sorts thy (env as Envir.Envir {iTs, ...}) = |
|
178 |
if Sign.all_sorts_nonempty thy then I |
|
179 |
else Vartab.fold (fn (_, (_, T)) => Sorts.insert_typ T) iTs; |
|
180 |
||
181 |
||
182 |
||
250 | 183 |
(** certified types **) |
184 |
||
16656 | 185 |
datatype ctyp = Ctyp of {thy_ref: theory_ref, T: typ, sorts: sort list}; |
250 | 186 |
|
16656 | 187 |
fun rep_ctyp (Ctyp {thy_ref, T, sorts}) = |
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188 |
let val thy = Theory.deref thy_ref |
16656 | 189 |
in {thy = thy, sign = thy, T = T, sorts = sorts} end; |
250 | 190 |
|
16656 | 191 |
fun theory_of_ctyp (Ctyp {thy_ref, ...}) = Theory.deref thy_ref; |
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192 |
|
250 | 193 |
fun typ_of (Ctyp {T, ...}) = T; |
194 |
||
16656 | 195 |
fun ctyp_of thy raw_T = |
196 |
let val T = Sign.certify_typ thy raw_T |
|
197 |
in Ctyp {thy_ref = Theory.self_ref thy, T = T, sorts = may_insert_typ_sorts thy T []} end; |
|
250 | 198 |
|
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199 |
fun read_ctyp thy s = |
16656 | 200 |
let val T = Sign.read_typ (thy, K NONE) s |
201 |
in Ctyp {thy_ref = Theory.self_ref thy, T = T, sorts = may_insert_typ_sorts thy T []} end; |
|
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202 |
|
16656 | 203 |
fun dest_ctyp (Ctyp {thy_ref, T = Type (s, Ts), sorts}) = |
204 |
map (fn T => Ctyp {thy_ref = thy_ref, T = T, sorts = sorts}) Ts |
|
16679 | 205 |
| dest_ctyp cT = raise TYPE ("dest_ctyp", [typ_of cT], []); |
15087 | 206 |
|
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|
207 |
|
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|
208 |
|
250 | 209 |
(** certified terms **) |
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|
210 |
|
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211 |
(*certified terms with checked typ, maxidx, and sorts*) |
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datatype cterm = Cterm of |
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213 |
{thy_ref: theory_ref, |
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214 |
t: term, |
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T: typ, |
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maxidx: int, |
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217 |
sorts: sort list}; |
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218 |
|
16679 | 219 |
exception CTERM of string; |
220 |
||
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221 |
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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223 |
in {thy = thy, sign = thy, t = t, T = T, maxidx = maxidx, sorts = sorts} end; |
229
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|
224 |
|
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225 |
fun crep_cterm (Cterm {thy_ref, t, T, maxidx, sorts}) = |
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let val thy = Theory.deref thy_ref in |
16656 | 227 |
{thy = thy, sign = thy, t = t, T = Ctyp {thy_ref = thy_ref, T = T, sorts = sorts}, |
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maxidx = maxidx, sorts = sorts} |
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229 |
end; |
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230 |
|
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231 |
fun theory_of_cterm (Cterm {thy_ref, ...}) = Theory.deref thy_ref; |
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232 |
val sign_of_cterm = theory_of_cterm; |
9461 | 233 |
|
250 | 234 |
fun term_of (Cterm {t, ...}) = t; |
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235 |
|
16656 | 236 |
fun ctyp_of_term (Cterm {thy_ref, T, sorts, ...}) = |
237 |
Ctyp {thy_ref = thy_ref, T = T, sorts = sorts}; |
|
2671 | 238 |
|
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239 |
fun cterm_of thy tm = |
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240 |
let |
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val (t, T, maxidx) = Sign.certify_term (Sign.pp thy) thy tm; |
16656 | 242 |
val sorts = may_insert_term_sorts thy t []; |
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243 |
in Cterm {thy_ref = Theory.self_ref thy, t = t, T = T, maxidx = maxidx, sorts = sorts} end; |
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|
244 |
|
16656 | 245 |
fun merge_thys0 (Cterm {thy_ref = r1, ...}) (Cterm {thy_ref = r2, ...}) = |
246 |
Theory.merge_refs (r1, r2); |
|
247 |
||
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248 |
(*Destruct application in cterms*) |
16679 | 249 |
fun dest_comb (Cterm {t = t $ u, T, thy_ref, maxidx, sorts}) = |
250 |
let val A = Term.argument_type_of t in |
|
251 |
(Cterm {t = t, T = A --> T, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts}, |
|
252 |
Cterm {t = u, T = A, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts}) |
|
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|
253 |
end |
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|
254 |
| dest_comb _ = raise CTERM "dest_comb"; |
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|
255 |
|
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clasohm
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|
256 |
(*Destruct abstraction in cterms*) |
16679 | 257 |
fun dest_abs a (Cterm {t = Abs (x, T, t), T = Type ("fun", [_, U]), thy_ref, maxidx, sorts}) = |
18944 | 258 |
let val (y', t') = Term.dest_abs (the_default x a, T, t) in |
16679 | 259 |
(Cterm {t = Free (y', T), T = T, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts}, |
260 |
Cterm {t = t', T = U, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts}) |
|
1493
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|
261 |
end |
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|
262 |
| dest_abs _ _ = raise CTERM "dest_abs"; |
1493
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clasohm
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changeset
|
263 |
|
2147 | 264 |
(*Makes maxidx precise: it is often too big*) |
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|
265 |
fun adjust_maxidx (ct as Cterm {thy_ref, t, T, maxidx, sorts}) = |
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|
266 |
if maxidx = ~1 then ct |
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|
267 |
else Cterm {thy_ref = thy_ref, t = t, T = T, maxidx = maxidx_of_term t, sorts = sorts}; |
1703
e22ad43bab5f
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clasohm
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|
268 |
|
1516
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clasohm
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|
269 |
(*Form cterm out of a function and an argument*) |
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270 |
fun capply |
16656 | 271 |
(cf as Cterm {t = f, T = Type ("fun", [dty, rty]), maxidx = maxidx1, sorts = sorts1, ...}) |
272 |
(cx as Cterm {t = x, T, maxidx = maxidx2, sorts = sorts2, ...}) = |
|
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273 |
if T = dty then |
16656 | 274 |
Cterm {thy_ref = merge_thys0 cf cx, |
275 |
t = f $ x, |
|
276 |
T = rty, |
|
277 |
maxidx = Int.max (maxidx1, maxidx2), |
|
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|
278 |
sorts = Sorts.union sorts1 sorts2} |
1516
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clasohm
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|
279 |
else raise CTERM "capply: types don't agree" |
96286c4e32de
removed mk_prop; added capply; simplified dest_abs
clasohm
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changeset
|
280 |
| capply _ _ = raise CTERM "capply: first arg is not a function" |
250 | 281 |
|
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|
282 |
fun cabs |
16656 | 283 |
(ct1 as Cterm {t = t1, T = T1, maxidx = maxidx1, sorts = sorts1, ...}) |
284 |
(ct2 as Cterm {t = t2, T = T2, maxidx = maxidx2, sorts = sorts2, ...}) = |
|
18944 | 285 |
let val t = lambda t1 t2 handle TERM _ => raise CTERM "cabs: malformed first argument" in |
16656 | 286 |
Cterm {thy_ref = merge_thys0 ct1 ct2, |
287 |
t = t, T = T1 --> T2, |
|
288 |
maxidx = Int.max (maxidx1, maxidx2), |
|
289 |
sorts = Sorts.union sorts1 sorts2} |
|
16601
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|
290 |
end; |
229
4002c4cd450c
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lcp
parents:
225
diff
changeset
|
291 |
|
10416
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berghofe
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|
292 |
(*Matching of cterms*) |
16656 | 293 |
fun gen_cterm_match match |
294 |
(ct1 as Cterm {t = t1, maxidx = maxidx1, sorts = sorts1, ...}, |
|
295 |
ct2 as Cterm {t = t2, maxidx = maxidx2, sorts = sorts2, ...}) = |
|
10416
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berghofe
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changeset
|
296 |
let |
16656 | 297 |
val thy_ref = merge_thys0 ct1 ct2; |
18184 | 298 |
val (Tinsts, tinsts) = match (Theory.deref thy_ref) (t1, t2) (Vartab.empty, Vartab.empty); |
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|
299 |
val maxidx = Int.max (maxidx1, maxidx2); |
16601
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changeset
|
300 |
val sorts = Sorts.union sorts1 sorts2; |
16656 | 301 |
fun mk_cTinst (ixn, (S, T)) = |
302 |
(Ctyp {T = TVar (ixn, S), thy_ref = thy_ref, sorts = sorts}, |
|
303 |
Ctyp {T = T, thy_ref = thy_ref, sorts = sorts}); |
|
304 |
fun mk_ctinst (ixn, (T, t)) = |
|
16601
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wenzelm
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diff
changeset
|
305 |
let val T = Envir.typ_subst_TVars Tinsts T in |
16656 | 306 |
(Cterm {t = Var (ixn, T), T = T, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts}, |
307 |
Cterm {t = t, T = T, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts}) |
|
10416
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
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diff
changeset
|
308 |
end; |
16656 | 309 |
in (Vartab.fold (cons o mk_cTinst) Tinsts [], Vartab.fold (cons o mk_ctinst) tinsts []) end; |
10416
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berghofe
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diff
changeset
|
310 |
|
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
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diff
changeset
|
311 |
val cterm_match = gen_cterm_match Pattern.match; |
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
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diff
changeset
|
312 |
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
|
313 |
|
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
314 |
(*Incrementing indexes*) |
16601
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wenzelm
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changeset
|
315 |
fun cterm_incr_indexes i (ct as Cterm {thy_ref, t, T, maxidx, sorts}) = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
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|
316 |
if i < 0 then raise CTERM "negative increment" |
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|
317 |
else if i = 0 then ct |
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wenzelm
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changeset
|
318 |
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
|
319 |
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
|
320 |
|
2509 | 321 |
|
322 |
||
574 | 323 |
(** read cterms **) (*exception ERROR*) |
250 | 324 |
|
4281
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
325 |
(*read terms, infer types, certify terms*) |
16425
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wenzelm
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diff
changeset
|
326 |
fun read_def_cterms (thy, types, sorts) used freeze sTs = |
250 | 327 |
let |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
328 |
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
|
329 |
val cts = map (cterm_of thy) ts' |
2979 | 330 |
handle TYPE (msg, _, _) => error msg |
2386 | 331 |
| TERM (msg, _) => error msg; |
4281
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
332 |
in (cts, tye) end; |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
333 |
|
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
334 |
(*read term, infer types, certify term*) |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
335 |
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
|
336 |
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
|
337 |
in (ct,tye) end; |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
225
diff
changeset
|
338 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
339 |
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
|
340 |
|
250 | 341 |
|
6089 | 342 |
(*tags provide additional comment, apart from the axiom/theorem name*) |
343 |
type tag = string * string list; |
|
344 |
||
2509 | 345 |
|
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
346 |
(*** Meta theorems ***) |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
225
diff
changeset
|
347 |
|
11518 | 348 |
structure Pt = Proofterm; |
349 |
||
0 | 350 |
datatype thm = Thm of |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
351 |
{thy_ref: theory_ref, (*dynamic reference to theory*) |
11518 | 352 |
der: bool * Pt.proof, (*derivation*) |
3967
edd5ff9371f8
sg_ref: automatic adjustment of thms of draft theories;
wenzelm
parents:
3895
diff
changeset
|
353 |
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
|
354 |
shyps: sort list, (*sort hypotheses as ordered list*) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
355 |
hyps: term list, (*hypotheses as ordered list*) |
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
356 |
tpairs: (term * term) list, (*flex-flex pairs*) |
3967
edd5ff9371f8
sg_ref: automatic adjustment of thms of draft theories;
wenzelm
parents:
3895
diff
changeset
|
357 |
prop: term}; (*conclusion*) |
0 | 358 |
|
16725 | 359 |
(*errors involving theorems*) |
360 |
exception THM of string * int * thm list; |
|
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
361 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
362 |
fun rep_thm (Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop}) = |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
363 |
let val thy = Theory.deref thy_ref in |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
364 |
{thy = thy, sign = thy, der = der, maxidx = maxidx, |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
365 |
shyps = shyps, hyps = hyps, tpairs = tpairs, prop = prop} |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
366 |
end; |
0 | 367 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
368 |
(*version of rep_thm returning cterms instead of terms*) |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
369 |
fun crep_thm (Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop}) = |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
370 |
let |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
371 |
val thy = Theory.deref thy_ref; |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
372 |
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
|
373 |
in |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
374 |
{thy = thy, sign = thy, der = der, maxidx = maxidx, shyps = shyps, |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
375 |
hyps = map (cterm ~1) hyps, |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
376 |
tpairs = map (pairself (cterm maxidx)) tpairs, |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
377 |
prop = cterm maxidx prop} |
1517 | 378 |
end; |
379 |
||
16725 | 380 |
fun terms_of_tpairs tpairs = fold_rev (fn (t, u) => cons t o cons u) tpairs []; |
381 |
||
382 |
fun eq_tpairs ((t, u), (t', u')) = t aconv t' andalso u aconv u'; |
|
18944 | 383 |
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
|
384 |
val maxidx_tpairs = fold (fn (t, u) => Term.maxidx_term t #> Term.maxidx_term u); |
16725 | 385 |
|
386 |
fun attach_tpairs tpairs prop = |
|
387 |
Logic.list_implies (map Logic.mk_equals tpairs, prop); |
|
388 |
||
389 |
fun full_prop_of (Thm {tpairs, prop, ...}) = attach_tpairs tpairs prop; |
|
16945 | 390 |
|
391 |
||
392 |
(* merge theories of cterms/thms; raise exception if incompatible *) |
|
393 |
||
394 |
fun merge_thys1 (Cterm {thy_ref = r1, ...}) (th as Thm {thy_ref = r2, ...}) = |
|
395 |
Theory.merge_refs (r1, r2) handle TERM (msg, _) => raise THM (msg, 0, [th]); |
|
396 |
||
397 |
fun merge_thys2 (th1 as Thm {thy_ref = r1, ...}) (th2 as Thm {thy_ref = r2, ...}) = |
|
398 |
Theory.merge_refs (r1, r2) handle TERM (msg, _) => raise THM (msg, 0, [th1, th2]); |
|
399 |
||
0 | 400 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
401 |
(*attributes subsume any kind of rules or context modifiers*) |
18733 | 402 |
type attribute = Context.generic * thm -> Context.generic * thm; |
403 |
||
404 |
fun rule_attribute f (x, th) = (x, f x th); |
|
405 |
fun declaration_attribute f (x, th) = (f th x, th); |
|
406 |
||
407 |
fun apply_attributes mk dest = |
|
408 |
let |
|
409 |
fun app [] = I |
|
410 |
| app ((f: attribute) :: fs) = fn (x, th) => f (mk x, th) |>> dest |> app fs; |
|
411 |
in app end; |
|
412 |
||
413 |
val theory_attributes = apply_attributes Context.Theory Context.the_theory; |
|
414 |
val proof_attributes = apply_attributes Context.Proof Context.the_proof; |
|
17708 | 415 |
|
6089 | 416 |
fun no_attributes x = (x, []); |
17345 | 417 |
fun simple_fact x = [(x, [])]; |
6089 | 418 |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
419 |
|
16656 | 420 |
(* hyps *) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
421 |
|
16945 | 422 |
val insert_hyps = OrdList.insert Term.fast_term_ord; |
16679 | 423 |
val remove_hyps = OrdList.remove Term.fast_term_ord; |
424 |
val union_hyps = OrdList.union Term.fast_term_ord; |
|
425 |
val eq_set_hyps = OrdList.eq_set Term.fast_term_ord; |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
426 |
|
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
427 |
|
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
428 |
(* eq_thm(s) *) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
429 |
|
3994 | 430 |
fun eq_thm (th1, th2) = |
431 |
let |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
432 |
val {thy = thy1, shyps = shyps1, hyps = hyps1, tpairs = tpairs1, prop = prop1, ...} = |
9031 | 433 |
rep_thm th1; |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
434 |
val {thy = thy2, shyps = shyps2, hyps = hyps2, tpairs = tpairs2, prop = prop2, ...} = |
9031 | 435 |
rep_thm th2; |
3994 | 436 |
in |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
437 |
Context.joinable (thy1, thy2) andalso |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
438 |
Sorts.eq_set (shyps1, shyps2) andalso |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
439 |
eq_set_hyps (hyps1, hyps2) andalso |
16656 | 440 |
equal_lists eq_tpairs (tpairs1, tpairs2) andalso |
3994 | 441 |
prop1 aconv prop2 |
442 |
end; |
|
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
443 |
|
16135 | 444 |
val eq_thms = Library.equal_lists eq_thm; |
445 |
||
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
446 |
fun theory_of_thm (Thm {thy_ref, ...}) = Theory.deref thy_ref; |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
447 |
val sign_of_thm = theory_of_thm; |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
448 |
|
12803 | 449 |
fun prop_of (Thm {prop, ...}) = prop; |
13528 | 450 |
fun proof_of (Thm {der = (_, proof), ...}) = proof; |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
451 |
fun tpairs_of (Thm {tpairs, ...}) = tpairs; |
0 | 452 |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
453 |
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
|
454 |
val prems_of = Logic.strip_imp_prems o prop_of; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
455 |
fun nprems_of th = Logic.count_prems (prop_of th, 0); |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
456 |
val no_prems = equal 0 o nprems_of; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
457 |
|
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
458 |
fun major_prem_of th = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
459 |
(case prems_of th of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
460 |
prem :: _ => Logic.strip_assums_concl prem |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
461 |
| [] => 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
|
462 |
|
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
463 |
(*the statement of any thm is a cterm*) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
464 |
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
|
465 |
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
|
466 |
|
18145 | 467 |
fun cprem_of (th as Thm {thy_ref, maxidx, shyps, prop, ...}) i = |
18035 | 468 |
Cterm {thy_ref = thy_ref, maxidx = maxidx, T = propT, sorts = shyps, |
18145 | 469 |
t = Logic.nth_prem (i, prop) handle TERM _ => raise THM ("cprem_of", i, [th])}; |
18035 | 470 |
|
16656 | 471 |
(*explicit transfer to a super theory*) |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
472 |
fun transfer thy' thm = |
3895 | 473 |
let |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
474 |
val Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop} = thm; |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
475 |
val thy = Theory.deref thy_ref; |
3895 | 476 |
in |
16945 | 477 |
if not (subthy (thy, thy')) then |
478 |
raise THM ("transfer: not a super theory", 0, [thm]) |
|
479 |
else if eq_thy (thy, thy') then thm |
|
480 |
else |
|
481 |
Thm {thy_ref = Theory.self_ref thy', |
|
482 |
der = der, |
|
483 |
maxidx = maxidx, |
|
484 |
shyps = shyps, |
|
485 |
hyps = hyps, |
|
486 |
tpairs = tpairs, |
|
487 |
prop = prop} |
|
3895 | 488 |
end; |
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
489 |
|
16945 | 490 |
(*explicit weakening: maps |- B to A |- B*) |
491 |
fun weaken raw_ct th = |
|
492 |
let |
|
493 |
val ct as Cterm {t = A, T, sorts, maxidx = maxidxA, ...} = adjust_maxidx raw_ct; |
|
494 |
val Thm {der, maxidx, shyps, hyps, tpairs, prop, ...} = th; |
|
495 |
in |
|
496 |
if T <> propT then |
|
497 |
raise THM ("weaken: assumptions must have type prop", 0, []) |
|
498 |
else if maxidxA <> ~1 then |
|
499 |
raise THM ("weaken: assumptions may not contain schematic variables", maxidxA, []) |
|
500 |
else |
|
501 |
Thm {thy_ref = merge_thys1 ct th, |
|
502 |
der = der, |
|
503 |
maxidx = maxidx, |
|
504 |
shyps = Sorts.union sorts shyps, |
|
505 |
hyps = insert_hyps A hyps, |
|
506 |
tpairs = tpairs, |
|
507 |
prop = prop} |
|
508 |
end; |
|
16656 | 509 |
|
510 |
||
0 | 511 |
|
1238 | 512 |
(** sort contexts of theorems **) |
513 |
||
16656 | 514 |
fun present_sorts (Thm {hyps, tpairs, prop, ...}) = |
515 |
fold (fn (t, u) => Sorts.insert_term t o Sorts.insert_term u) tpairs |
|
516 |
(Sorts.insert_terms hyps (Sorts.insert_term prop [])); |
|
1238 | 517 |
|
7642 | 518 |
(*remove extra sorts that are non-empty by virtue of type signature information*) |
519 |
fun strip_shyps (thm as Thm {shyps = [], ...}) = thm |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
520 |
| strip_shyps (thm as Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop}) = |
7642 | 521 |
let |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
522 |
val thy = Theory.deref thy_ref; |
16656 | 523 |
val shyps' = |
524 |
if Sign.all_sorts_nonempty thy then [] |
|
525 |
else |
|
526 |
let |
|
527 |
val present = present_sorts thm; |
|
528 |
val extra = Sorts.subtract present shyps; |
|
529 |
val witnessed = map #2 (Sign.witness_sorts thy present extra); |
|
530 |
in Sorts.subtract witnessed shyps end; |
|
7642 | 531 |
in |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
532 |
Thm {thy_ref = thy_ref, der = der, maxidx = maxidx, |
16656 | 533 |
shyps = shyps', hyps = hyps, tpairs = tpairs, prop = prop} |
7642 | 534 |
end; |
1238 | 535 |
|
16656 | 536 |
(*dangling sort constraints of a thm*) |
537 |
fun extra_shyps (th as Thm {shyps, ...}) = Sorts.subtract (present_sorts th) shyps; |
|
538 |
||
1238 | 539 |
|
540 |
||
1529 | 541 |
(** Axioms **) |
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
542 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
543 |
(*look up the named axiom in the theory or its ancestors*) |
15672 | 544 |
fun get_axiom_i theory name = |
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
545 |
let |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
546 |
fun get_ax thy = |
17412 | 547 |
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
|
548 |
|> Option.map (fn prop => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
549 |
Thm {thy_ref = Theory.self_ref thy, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
550 |
der = Pt.infer_derivs' I (false, Pt.axm_proof name prop), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
551 |
maxidx = maxidx_of_term prop, |
16656 | 552 |
shyps = may_insert_term_sorts thy prop [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
553 |
hyps = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
554 |
tpairs = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
555 |
prop = prop}); |
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
556 |
in |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
557 |
(case get_first get_ax (theory :: Theory.ancestors_of theory) of |
15531 | 558 |
SOME thm => thm |
559 |
| NONE => raise THEORY ("No axiom " ^ quote name, [theory])) |
|
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
560 |
end; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
561 |
|
16352 | 562 |
fun get_axiom thy = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
563 |
get_axiom_i thy o NameSpace.intern (Theory.axiom_space thy); |
15672 | 564 |
|
6368 | 565 |
fun def_name name = name ^ "_def"; |
566 |
fun get_def thy = get_axiom thy o def_name; |
|
4847 | 567 |
|
1529 | 568 |
|
776
df8f91c0e57c
improved axioms_of: returns thms as the manual says;
wenzelm
parents:
721
diff
changeset
|
569 |
(*return additional axioms of this theory node*) |
df8f91c0e57c
improved axioms_of: returns thms as the manual says;
wenzelm
parents:
721
diff
changeset
|
570 |
fun axioms_of thy = |
df8f91c0e57c
improved axioms_of: returns thms as the manual says;
wenzelm
parents:
721
diff
changeset
|
571 |
map (fn (s, _) => (s, get_axiom thy s)) |
16352 | 572 |
(Symtab.dest (#2 (#axioms (Theory.rep_theory thy)))); |
776
df8f91c0e57c
improved axioms_of: returns thms as the manual says;
wenzelm
parents:
721
diff
changeset
|
573 |
|
6089 | 574 |
|
575 |
(* name and tags -- make proof objects more readable *) |
|
576 |
||
12923 | 577 |
fun get_name_tags (Thm {hyps, prop, der = (_, prf), ...}) = |
578 |
Pt.get_name_tags hyps prop prf; |
|
4018 | 579 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
580 |
fun put_name_tags x (Thm {thy_ref, der = (ora, prf), maxidx, |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
581 |
shyps, hyps, tpairs = [], prop}) = Thm {thy_ref = thy_ref, |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
582 |
der = (ora, Pt.thm_proof (Theory.deref thy_ref) x hyps prop prf), |
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
583 |
maxidx = maxidx, shyps = shyps, hyps = hyps, tpairs = [], prop = prop} |
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
584 |
| put_name_tags _ thm = |
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
585 |
raise THM ("put_name_tags: unsolved flex-flex constraints", 0, [thm]); |
6089 | 586 |
|
587 |
val name_of_thm = #1 o get_name_tags; |
|
588 |
val tags_of_thm = #2 o get_name_tags; |
|
589 |
||
590 |
fun name_thm (name, thm) = put_name_tags (name, tags_of_thm thm) thm; |
|
0 | 591 |
|
592 |
||
1529 | 593 |
(*Compression of theorems -- a separate rule, not integrated with the others, |
594 |
as it could be slow.*) |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
595 |
fun compress (Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop}) = |
16991 | 596 |
let val thy = Theory.deref thy_ref in |
597 |
Thm {thy_ref = thy_ref, |
|
598 |
der = der, |
|
599 |
maxidx = maxidx, |
|
600 |
shyps = shyps, |
|
601 |
hyps = map (Compress.term thy) hyps, |
|
602 |
tpairs = map (pairself (Compress.term thy)) tpairs, |
|
603 |
prop = Compress.term thy prop} |
|
604 |
end; |
|
16945 | 605 |
|
606 |
fun adjust_maxidx_thm (Thm {thy_ref, der, shyps, hyps, tpairs, prop, ...}) = |
|
607 |
Thm {thy_ref = thy_ref, |
|
608 |
der = der, |
|
609 |
maxidx = maxidx_tpairs tpairs (maxidx_of_term prop), |
|
610 |
shyps = shyps, |
|
611 |
hyps = hyps, |
|
612 |
tpairs = tpairs, |
|
613 |
prop = prop}; |
|
564 | 614 |
|
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
615 |
|
2509 | 616 |
|
1529 | 617 |
(*** Meta rules ***) |
0 | 618 |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
619 |
(** primitive rules **) |
0 | 620 |
|
16656 | 621 |
(*The assumption rule A |- A*) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
622 |
fun assume raw_ct = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
623 |
let val Cterm {thy_ref, t = prop, T, maxidx, sorts} = adjust_maxidx raw_ct in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
624 |
if T <> propT then |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
625 |
raise THM ("assume: assumptions must have type prop", 0, []) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
626 |
else if maxidx <> ~1 then |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
627 |
raise THM ("assume: assumptions may not contain schematic variables", maxidx, []) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
628 |
else Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
629 |
der = Pt.infer_derivs' I (false, Pt.Hyp prop), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
630 |
maxidx = ~1, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
631 |
shyps = sorts, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
632 |
hyps = [prop], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
633 |
tpairs = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
634 |
prop = prop} |
0 | 635 |
end; |
636 |
||
1220 | 637 |
(*Implication introduction |
3529 | 638 |
[A] |
639 |
: |
|
640 |
B |
|
1220 | 641 |
------- |
642 |
A ==> B |
|
643 |
*) |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
644 |
fun implies_intr |
16679 | 645 |
(ct as Cterm {t = A, T, maxidx = maxidxA, sorts, ...}) |
646 |
(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
|
647 |
if T <> propT then |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
648 |
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
|
649 |
else |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
650 |
Thm {thy_ref = merge_thys1 ct th, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
651 |
der = Pt.infer_derivs' (Pt.implies_intr_proof A) der, |
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, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
654 |
hyps = remove_hyps A hyps, |
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 | 657 |
|
1529 | 658 |
|
1220 | 659 |
(*Implication elimination |
660 |
A ==> B A |
|
661 |
------------ |
|
662 |
B |
|
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 |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
672 |
imp $ A $ B => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
673 |
if imp = Term.implies andalso A aconv propA then |
16656 | 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, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
676 |
maxidx = Int.max (maxA, maxidx), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
677 |
shyps = Sorts.union shypsA shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
678 |
hyps = union_hyps hypsA hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
679 |
tpairs = union_tpairs tpairsA tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
680 |
prop = B} |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
681 |
else err () |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
682 |
| _ => err () |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
683 |
end; |
250 | 684 |
|
1220 | 685 |
(*Forall introduction. The Free or Var x must not be free in the hypotheses. |
16656 | 686 |
[x] |
687 |
: |
|
688 |
A |
|
689 |
------ |
|
690 |
!!x. A |
|
1220 | 691 |
*) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
692 |
fun forall_intr |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
693 |
(ct as Cterm {t = x, T, sorts, ...}) |
16679 | 694 |
(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
|
695 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
696 |
fun result a = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
697 |
Thm {thy_ref = merge_thys1 ct th, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
698 |
der = Pt.infer_derivs' (Pt.forall_intr_proof x a) der, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
699 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
700 |
shyps = Sorts.union sorts shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
701 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
702 |
tpairs = tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
703 |
prop = all T $ Abs (a, T, abstract_over (x, prop))}; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
704 |
fun check_occs x ts = |
16847
8fc160b12e73
invoke_oracle: do not keep theory value, but theory_ref;
wenzelm
parents:
16725
diff
changeset
|
705 |
if exists (fn t => Logic.occs (x, t)) ts then |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
706 |
raise THM("forall_intr: variable free in assumptions", 0, [th]) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
707 |
else (); |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
708 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
709 |
case x of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
710 |
Free (a, _) => (check_occs x hyps; check_occs x (terms_of_tpairs tpairs); result a) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
711 |
| Var ((a, _), _) => (check_occs x (terms_of_tpairs tpairs); result a) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
712 |
| _ => raise THM ("forall_intr: not a variable", 0, [th]) |
0 | 713 |
end; |
714 |
||
1220 | 715 |
(*Forall elimination |
16656 | 716 |
!!x. A |
1220 | 717 |
------ |
718 |
A[t/x] |
|
719 |
*) |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
720 |
fun forall_elim |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
721 |
(ct as Cterm {t, T, maxidx = maxt, sorts, ...}) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
722 |
(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
|
723 |
(case prop of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
724 |
Const ("all", Type ("fun", [Type ("fun", [qary, _]), _])) $ A => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
725 |
if T <> qary then |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
726 |
raise THM ("forall_elim: type mismatch", 0, [th]) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
727 |
else |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
728 |
Thm {thy_ref = merge_thys1 ct th, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
729 |
der = Pt.infer_derivs' (Pt.% o rpair (SOME t)) der, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
730 |
maxidx = Int.max (maxidx, maxt), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
731 |
shyps = Sorts.union sorts shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
732 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
733 |
tpairs = tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
734 |
prop = Term.betapply (A, t)} |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
735 |
| _ => raise THM ("forall_elim: not quantified", 0, [th])); |
0 | 736 |
|
737 |
||
1220 | 738 |
(* Equality *) |
0 | 739 |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
740 |
(*Reflexivity |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
741 |
t == t |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
742 |
*) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
743 |
fun reflexive (ct as Cterm {thy_ref, t, T, maxidx, sorts}) = |
16656 | 744 |
Thm {thy_ref = thy_ref, |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
745 |
der = Pt.infer_derivs' I (false, Pt.reflexive), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
746 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
747 |
shyps = sorts, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
748 |
hyps = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
749 |
tpairs = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
750 |
prop = Logic.mk_equals (t, t)}; |
0 | 751 |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
752 |
(*Symmetry |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
753 |
t == u |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
754 |
------ |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
755 |
u == t |
1220 | 756 |
*) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
757 |
fun symmetric (th as Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop}) = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
758 |
(case prop of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
759 |
(eq as Const ("==", Type (_, [T, _]))) $ t $ u => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
760 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
761 |
der = Pt.infer_derivs' Pt.symmetric der, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
762 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
763 |
shyps = shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
764 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
765 |
tpairs = tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
766 |
prop = eq $ u $ t} |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
767 |
| _ => raise THM ("symmetric", 0, [th])); |
0 | 768 |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
769 |
(*Transitivity |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
770 |
t1 == u u == t2 |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
771 |
------------------ |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
772 |
t1 == t2 |
1220 | 773 |
*) |
0 | 774 |
fun transitive th1 th2 = |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
775 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
776 |
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
|
777 |
prop = prop1, ...} = th1 |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
778 |
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
|
779 |
prop = prop2, ...} = th2; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
780 |
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
|
781 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
782 |
case (prop1, prop2) of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
783 |
((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
|
784 |
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
|
785 |
else |
16656 | 786 |
Thm {thy_ref = merge_thys2 th1 th2, |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
787 |
der = Pt.infer_derivs (Pt.transitive u T) der1 der2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
788 |
maxidx = Int.max (max1, max2), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
789 |
shyps = Sorts.union shyps1 shyps2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
790 |
hyps = union_hyps hyps1 hyps2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
791 |
tpairs = union_tpairs tpairs1 tpairs2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
792 |
prop = eq $ t1 $ t2} |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
793 |
| _ => err "premises" |
0 | 794 |
end; |
795 |
||
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
796 |
(*Beta-conversion |
16656 | 797 |
(%x. t)(u) == t[u/x] |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
798 |
fully beta-reduces the term if full = true |
10416
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
799 |
*) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
800 |
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
|
801 |
let val t' = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
802 |
if full then Envir.beta_norm t |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
803 |
else |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
804 |
(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
|
805 |
| _ => raise THM ("beta_conversion: not a redex", 0, [])); |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
806 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
807 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
808 |
der = Pt.infer_derivs' I (false, Pt.reflexive), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
809 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
810 |
shyps = sorts, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
811 |
hyps = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
812 |
tpairs = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
813 |
prop = Logic.mk_equals (t, t')} |
10416
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
814 |
end; |
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
815 |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
816 |
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
|
817 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
818 |
der = Pt.infer_derivs' I (false, Pt.reflexive), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
819 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
820 |
shyps = sorts, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
821 |
hyps = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
822 |
tpairs = [], |
18944 | 823 |
prop = Logic.mk_equals (t, Envir.eta_contract t)}; |
0 | 824 |
|
825 |
(*The abstraction rule. The Free or Var x must not be free in the hypotheses. |
|
826 |
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
|
827 |
t == u |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
828 |
-------------- |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
829 |
%x. t == %x. u |
1220 | 830 |
*) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
831 |
fun abstract_rule a |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
832 |
(Cterm {t = x, T, sorts, ...}) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
833 |
(th as Thm {thy_ref, der, maxidx, hyps, shyps, tpairs, prop}) = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
834 |
let |
17708 | 835 |
val string_of = Sign.string_of_term (Theory.deref thy_ref); |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
836 |
val (t, u) = Logic.dest_equals prop |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
837 |
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
|
838 |
val result = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
839 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
840 |
der = Pt.infer_derivs' (Pt.abstract_rule x a) der, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
841 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
842 |
shyps = Sorts.union sorts shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
843 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
844 |
tpairs = tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
845 |
prop = Logic.mk_equals |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
846 |
(Abs (a, T, abstract_over (x, t)), Abs (a, T, abstract_over (x, u)))}; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
847 |
fun check_occs x ts = |
16847
8fc160b12e73
invoke_oracle: do not keep theory value, but theory_ref;
wenzelm
parents:
16725
diff
changeset
|
848 |
if exists (fn t => Logic.occs (x, t)) ts then |
17708 | 849 |
raise THM ("abstract_rule: variable free in assumptions " ^ string_of x, 0, [th]) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
850 |
else (); |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
851 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
852 |
case x of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
853 |
Free _ => (check_occs x hyps; check_occs x (terms_of_tpairs tpairs); result) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
854 |
| Var _ => (check_occs x (terms_of_tpairs tpairs); result) |
17708 | 855 |
| _ => raise THM ("abstract_rule: not a variable " ^ string_of x, 0, [th]) |
0 | 856 |
end; |
857 |
||
858 |
(*The combination rule |
|
3529 | 859 |
f == g t == u |
860 |
-------------- |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
861 |
f t == g u |
1220 | 862 |
*) |
0 | 863 |
fun combination th1 th2 = |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
864 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
865 |
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
|
866 |
prop = prop1, ...} = th1 |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
867 |
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
|
868 |
prop = prop2, ...} = th2; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
869 |
fun chktypes fT tT = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
870 |
(case fT of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
871 |
Type ("fun", [T1, T2]) => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
872 |
if T1 <> tT then |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
873 |
raise THM ("combination: types", 0, [th1, th2]) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
874 |
else () |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
875 |
| _ => 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
|
876 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
877 |
case (prop1, prop2) of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
878 |
(Const ("==", Type ("fun", [fT, _])) $ f $ g, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
879 |
Const ("==", Type ("fun", [tT, _])) $ t $ u) => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
880 |
(chktypes fT tT; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
881 |
Thm {thy_ref = merge_thys2 th1 th2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
882 |
der = Pt.infer_derivs (Pt.combination f g t u fT) der1 der2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
883 |
maxidx = Int.max (max1, max2), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
884 |
shyps = Sorts.union shyps1 shyps2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
885 |
hyps = union_hyps hyps1 hyps2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
886 |
tpairs = union_tpairs tpairs1 tpairs2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
887 |
prop = Logic.mk_equals (f $ t, g $ u)}) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
888 |
| _ => raise THM ("combination: premises", 0, [th1, th2]) |
0 | 889 |
end; |
890 |
||
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
891 |
(*Equality introduction |
3529 | 892 |
A ==> B B ==> A |
893 |
---------------- |
|
894 |
A == B |
|
1220 | 895 |
*) |
0 | 896 |
fun equal_intr th1 th2 = |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
897 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
898 |
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
|
899 |
prop = prop1, ...} = th1 |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
900 |
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
|
901 |
prop = prop2, ...} = th2; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
902 |
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
|
903 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
904 |
case (prop1, prop2) of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
905 |
(Const("==>", _) $ A $ B, Const("==>", _) $ B' $ A') => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
906 |
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
|
907 |
Thm {thy_ref = merge_thys2 th1 th2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
908 |
der = Pt.infer_derivs (Pt.equal_intr A B) der1 der2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
909 |
maxidx = Int.max (max1, max2), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
910 |
shyps = Sorts.union shyps1 shyps2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
911 |
hyps = union_hyps hyps1 hyps2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
912 |
tpairs = union_tpairs tpairs1 tpairs2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
913 |
prop = Logic.mk_equals (A, B)} |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
914 |
else err "not equal" |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
915 |
| _ => err "premises" |
1529 | 916 |
end; |
917 |
||
918 |
(*The equal propositions rule |
|
3529 | 919 |
A == B A |
1529 | 920 |
--------- |
921 |
B |
|
922 |
*) |
|
923 |
fun equal_elim th1 th2 = |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
924 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
925 |
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
|
926 |
tpairs = tpairs1, prop = prop1, ...} = th1 |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
927 |
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
|
928 |
tpairs = tpairs2, prop = prop2, ...} = th2; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
929 |
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
|
930 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
931 |
case prop1 of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
932 |
Const ("==", _) $ A $ B => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
933 |
if prop2 aconv A then |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
934 |
Thm {thy_ref = merge_thys2 th1 th2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
935 |
der = Pt.infer_derivs (Pt.equal_elim A B) der1 der2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
936 |
maxidx = Int.max (max1, max2), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
937 |
shyps = Sorts.union shyps1 shyps2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
938 |
hyps = union_hyps hyps1 hyps2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
939 |
tpairs = union_tpairs tpairs1 tpairs2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
940 |
prop = B} |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
941 |
else err "not equal" |
1529 | 942 |
| _ => err"major premise" |
943 |
end; |
|
0 | 944 |
|
1220 | 945 |
|
946 |
||
0 | 947 |
(**** Derived rules ****) |
948 |
||
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
949 |
(*Smash unifies the list of term pairs leaving no flex-flex pairs. |
250 | 950 |
Instantiates the theorem and deletes trivial tpairs. |
0 | 951 |
Resulting sequence may contain multiple elements if the tpairs are |
952 |
not all flex-flex. *) |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
953 |
fun flexflex_rule (th as Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop}) = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
954 |
Unify.smash_unifiers (Theory.deref thy_ref, Envir.empty maxidx, tpairs) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
955 |
|> Seq.map (fn env => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
956 |
if Envir.is_empty env then th |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
957 |
else |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
958 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
959 |
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
|
960 |
(*remove trivial tpairs, of the form t==t*) |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
961 |
|> filter_out (op aconv); |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
962 |
val prop' = Envir.norm_term env prop; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
963 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
964 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
965 |
der = Pt.infer_derivs' (Pt.norm_proof' env) der, |
16711 | 966 |
maxidx = maxidx_tpairs tpairs' (maxidx_of_term prop'), |
16656 | 967 |
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
|
968 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
969 |
tpairs = tpairs', |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
970 |
prop = prop'} |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
971 |
end); |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
972 |
|
0 | 973 |
|
974 |
(*Instantiation of Vars |
|
16656 | 975 |
A |
976 |
-------------------- |
|
977 |
A[t1/v1, ..., tn/vn] |
|
1220 | 978 |
*) |
0 | 979 |
|
6928 | 980 |
local |
981 |
||
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
982 |
fun pretty_typing thy t T = |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
983 |
Pretty.block [Sign.pretty_term thy t, Pretty.str " ::", Pretty.brk 1, Sign.pretty_typ thy T]; |
15797 | 984 |
|
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
985 |
fun add_inst (ct, cu) (thy_ref, sorts) = |
6928 | 986 |
let |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
987 |
val Cterm {t = t, T = T, ...} = ct |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
988 |
and Cterm {t = u, T = U, sorts = sorts_u, ...} = cu; |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
989 |
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
|
990 |
val sorts' = Sorts.union sorts_u sorts; |
3967
edd5ff9371f8
sg_ref: automatic adjustment of thms of draft theories;
wenzelm
parents:
3895
diff
changeset
|
991 |
in |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
992 |
(case t of Var v => |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
993 |
if T = U then ((v, u), (thy_ref', sorts')) |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
994 |
else raise TYPE (Pretty.string_of (Pretty.block |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
995 |
[Pretty.str "instantiate: type conflict", |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
996 |
Pretty.fbrk, pretty_typing (Theory.deref thy_ref') t T, |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
997 |
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
|
998 |
| _ => raise TYPE (Pretty.string_of (Pretty.block |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
999 |
[Pretty.str "instantiate: not a variable", |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1000 |
Pretty.fbrk, Sign.pretty_term (Theory.deref thy_ref') t]), [], [t])) |
0 | 1001 |
end; |
1002 |
||
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1003 |
fun add_instT (cT, cU) (thy_ref, sorts) = |
16656 | 1004 |
let |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1005 |
val Ctyp {T, thy_ref = thy_ref1, ...} = cT |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1006 |
and Ctyp {T = U, thy_ref = thy_ref2, sorts = sorts_U, ...} = cU; |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1007 |
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
|
1008 |
val thy' = Theory.deref thy_ref'; |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1009 |
val sorts' = Sorts.union sorts_U sorts; |
16656 | 1010 |
in |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1011 |
(case T of TVar (v as (_, S)) => |
17203 | 1012 |
if Sign.of_sort thy' (U, S) then ((v, U), (thy_ref', sorts')) |
16656 | 1013 |
else raise TYPE ("Type not of sort " ^ Sign.string_of_sort thy' S, [U], []) |
1014 |
| _ => raise TYPE (Pretty.string_of (Pretty.block |
|
15797 | 1015 |
[Pretty.str "instantiate: not a type variable", |
16656 | 1016 |
Pretty.fbrk, Sign.pretty_typ thy' T]), [T], [])) |
1017 |
end; |
|
0 | 1018 |
|
6928 | 1019 |
in |
1020 |
||
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1021 |
(*Left-to-right replacements: ctpairs = [..., (vi, ti), ...]. |
0 | 1022 |
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
|
1023 |
Does NOT normalize the resulting theorem!*) |
1529 | 1024 |
fun instantiate ([], []) th = th |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1025 |
| instantiate (instT, inst) th = |
16656 | 1026 |
let |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1027 |
val Thm {thy_ref, der, hyps, shyps, tpairs, prop, ...} = th; |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1028 |
val (inst', (instT', (thy_ref', shyps'))) = |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1029 |
(thy_ref, shyps) |> fold_map add_inst inst ||> fold_map add_instT instT; |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1030 |
val subst = Term.instantiate (instT', inst'); |
16656 | 1031 |
val prop' = subst prop; |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1032 |
val tpairs' = map (pairself subst) tpairs; |
16656 | 1033 |
in |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1034 |
if has_duplicates (fn ((v, _), (v', _)) => Term.eq_var (v, v')) inst' then |
16656 | 1035 |
raise THM ("instantiate: variables not distinct", 0, [th]) |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1036 |
else if has_duplicates (fn ((v, _), (v', _)) => Term.eq_tvar (v, v')) instT' then |
16656 | 1037 |
raise THM ("instantiate: type variables not distinct", 0, [th]) |
1038 |
else |
|
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1039 |
Thm {thy_ref = thy_ref', |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1040 |
der = Pt.infer_derivs' (Pt.instantiate (instT', inst')) der, |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1041 |
maxidx = maxidx_tpairs tpairs' (maxidx_of_term prop'), |
16656 | 1042 |
shyps = shyps', |
1043 |
hyps = hyps, |
|
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1044 |
tpairs = tpairs', |
16656 | 1045 |
prop = prop'} |
1046 |
end |
|
1047 |
handle TYPE (msg, _, _) => raise THM (msg, 0, [th]); |
|
6928 | 1048 |
|
1049 |
end; |
|
1050 |
||
0 | 1051 |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1052 |
(*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
|
1053 |
A can contain Vars, not so for assume!*) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1054 |
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
|
1055 |
if T <> propT then |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1056 |
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
|
1057 |
else |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1058 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1059 |
der = Pt.infer_derivs' I (false, Pt.AbsP ("H", NONE, Pt.PBound 0)), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1060 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1061 |
shyps = sorts, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1062 |
hyps = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1063 |
tpairs = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1064 |
prop = implies $ A $ A}; |
0 | 1065 |
|
1503 | 1066 |
(*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
|
1067 |
fun class_triv thy c = |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1068 |
let val Cterm {thy_ref, t, maxidx, sorts, ...} = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1069 |
cterm_of thy (Logic.mk_inclass (TVar (("'a", 0), [c]), c)) |
6368 | 1070 |
handle TERM (msg, _) => raise THM ("class_triv: " ^ msg, 0, []); |
399
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents:
387
diff
changeset
|
1071 |
in |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1072 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1073 |
der = Pt.infer_derivs' I (false, Pt.PAxm ("ProtoPure.class_triv:" ^ c, t, SOME [])), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1074 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1075 |
shyps = sorts, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1076 |
hyps = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1077 |
tpairs = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1078 |
prop = t} |
399
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents:
387
diff
changeset
|
1079 |
end; |
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents:
387
diff
changeset
|
1080 |
|
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents:
387
diff
changeset
|
1081 |
|
6786 | 1082 |
(* Replace all TFrees not fixed or in the hyps by new TVars *) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1083 |
fun varifyT' fixed (Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop}) = |
12500 | 1084 |
let |
15797 | 1085 |
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
|
1086 |
val prop1 = attach_tpairs tpairs prop; |
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1087 |
val (prop2, al) = Type.varify (prop1, tfrees); |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1088 |
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
|
1089 |
in |
18127 | 1090 |
(al, Thm {thy_ref = thy_ref, |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1091 |
der = Pt.infer_derivs' (Pt.varify_proof prop tfrees) der, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1092 |
maxidx = Int.max (0, maxidx), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1093 |
shyps = shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1094 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1095 |
tpairs = rev (map Logic.dest_equals ts), |
18127 | 1096 |
prop = prop3}) |
0 | 1097 |
end; |
1098 |
||
18127 | 1099 |
val varifyT = #2 o varifyT' []; |
6786 | 1100 |
|
0 | 1101 |
(* Replace all TVars by new TFrees *) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1102 |
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
|
1103 |
let |
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1104 |
val prop1 = attach_tpairs tpairs prop; |
16287 | 1105 |
val prop2 = Type.freeze prop1; |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1106 |
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
|
1107 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1108 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1109 |
der = Pt.infer_derivs' (Pt.freezeT prop1) der, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1110 |
maxidx = maxidx_of_term prop2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1111 |
shyps = shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1112 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1113 |
tpairs = rev (map Logic.dest_equals ts), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1114 |
prop = prop3} |
1220 | 1115 |
end; |
0 | 1116 |
|
1117 |
||
1118 |
(*** Inference rules for tactics ***) |
|
1119 |
||
1120 |
(*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
|
1121 |
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
|
1122 |
(case Logic.strip_prems(i, [], prop) of |
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1123 |
(B::rBs, C) => (tpairs, rev rBs, B, C) |
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1124 |
| _ => raise THM("dest_state", i, [state])) |
0 | 1125 |
handle TERM _ => raise THM("dest_state", i, [state]); |
1126 |
||
309 | 1127 |
(*Increment variables and parameters of orule as required for |
18035 | 1128 |
resolution with a goal.*) |
1129 |
fun lift_rule goal orule = |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1130 |
let |
18035 | 1131 |
val Cterm {t = gprop, T, maxidx = gmax, sorts, ...} = goal; |
1132 |
val inc = gmax + 1; |
|
1133 |
val lift_abs = Logic.lift_abs inc gprop; |
|
1134 |
val lift_all = Logic.lift_all inc gprop; |
|
1135 |
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
|
1136 |
val (As, B) = Logic.strip_horn prop; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1137 |
in |
18035 | 1138 |
if T <> propT then raise THM ("lift_rule: the term must have type prop", 0, []) |
1139 |
else |
|
1140 |
Thm {thy_ref = merge_thys1 goal orule, |
|
1141 |
der = Pt.infer_derivs' (Pt.lift_proof gprop inc prop) der, |
|
1142 |
maxidx = maxidx + inc, |
|
1143 |
shyps = Sorts.union shyps sorts, (*sic!*) |
|
1144 |
hyps = hyps, |
|
1145 |
tpairs = map (pairself lift_abs) tpairs, |
|
1146 |
prop = Logic.list_implies (map lift_all As, lift_all B)} |
|
0 | 1147 |
end; |
1148 |
||
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1149 |
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
|
1150 |
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
|
1151 |
else if i = 0 then thm |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1152 |
else |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1153 |
Thm {thy_ref = thy_ref, |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1154 |
der = Pt.infer_derivs' |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1155 |
(Pt.map_proof_terms (Logic.incr_indexes ([], i)) (Logic.incr_tvar i)) der, |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1156 |
maxidx = maxidx + i, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1157 |
shyps = shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1158 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1159 |
tpairs = map (pairself (Logic.incr_indexes ([], i))) tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1160 |
prop = Logic.incr_indexes ([], i) prop}; |
10416
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
1161 |
|
0 | 1162 |
(*Solve subgoal Bi of proof state B1...Bn/C by assumption. *) |
1163 |
fun assumption i state = |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1164 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1165 |
val Thm {thy_ref, der, maxidx, shyps, hyps, prop, ...} = state; |
16656 | 1166 |
val thy = Theory.deref thy_ref; |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1167 |
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
|
1168 |
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
|
1169 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1170 |
der = Pt.infer_derivs' |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1171 |
((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
|
1172 |
Pt.assumption_proof Bs Bi n) der, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1173 |
maxidx = maxidx, |
16656 | 1174 |
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
|
1175 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1176 |
tpairs = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1177 |
if Envir.is_empty env then tpairs |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1178 |
else map (pairself (Envir.norm_term env)) tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1179 |
prop = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1180 |
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
|
1181 |
Logic.list_implies (Bs, C) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1182 |
else (*normalize the new rule fully*) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1183 |
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
|
1184 |
fun addprfs [] _ = Seq.empty |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1185 |
| 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
|
1186 |
(Seq.mapp (newth n) |
16656 | 1187 |
(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
|
1188 |
(addprfs apairs (n + 1)))) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1189 |
in addprfs (Logic.assum_pairs (~1, Bi)) 1 end; |
0 | 1190 |
|
250 | 1191 |
(*Solve subgoal Bi of proof state B1...Bn/C by assumption. |
0 | 1192 |
Checks if Bi's conclusion is alpha-convertible to one of its assumptions*) |
1193 |
fun eq_assumption i state = |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1194 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1195 |
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
|
1196 |
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
|
1197 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1198 |
(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
|
1199 |
~1 => raise THM ("eq_assumption", 0, [state]) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1200 |
| n => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1201 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1202 |
der = Pt.infer_derivs' (Pt.assumption_proof Bs Bi (n + 1)) der, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1203 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1204 |
shyps = shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1205 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1206 |
tpairs = tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1207 |
prop = Logic.list_implies (Bs, C)}) |
0 | 1208 |
end; |
1209 |
||
1210 |
||
2671 | 1211 |
(*For rotate_tac: fast rotation of assumptions of subgoal i*) |
1212 |
fun rotate_rule k i state = |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1213 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1214 |
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
|
1215 |
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
|
1216 |
val params = Term.strip_all_vars Bi |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1217 |
and rest = Term.strip_all_body Bi; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1218 |
val asms = Logic.strip_imp_prems rest |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1219 |
and concl = Logic.strip_imp_concl rest; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1220 |
val n = length asms; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1221 |
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
|
1222 |
val Bi' = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1223 |
if 0 = m orelse m = n then Bi |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1224 |
else if 0 < m andalso m < n then |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1225 |
let val (ps, qs) = splitAt (m, asms) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1226 |
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
|
1227 |
else raise THM ("rotate_rule", k, [state]); |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1228 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1229 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1230 |
der = Pt.infer_derivs' (Pt.rotate_proof Bs Bi m) der, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1231 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1232 |
shyps = shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1233 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1234 |
tpairs = tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1235 |
prop = Logic.list_implies (Bs @ [Bi'], C)} |
2671 | 1236 |
end; |
1237 |
||
1238 |
||
7248
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
7070
diff
changeset
|
1239 |
(*Rotates a rule's premises to the left by k, leaving the first j premises |
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
7070
diff
changeset
|
1240 |
unchanged. Does nothing if k=0 or if k equals n-j, where n is the |
16656 | 1241 |
number of premises. Useful with etac and underlies defer_tac*) |
7248
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
7070
diff
changeset
|
1242 |
fun permute_prems j k rl = |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1243 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1244 |
val Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop} = rl; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1245 |
val prems = Logic.strip_imp_prems prop |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1246 |
and concl = Logic.strip_imp_concl prop; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1247 |
val moved_prems = List.drop (prems, j) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1248 |
and fixed_prems = List.take (prems, j) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1249 |
handle Subscript => raise THM ("permute_prems: j", j, [rl]); |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1250 |
val n_j = length moved_prems; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1251 |
val m = if k < 0 then n_j + k else k; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1252 |
val prop' = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1253 |
if 0 = m orelse m = n_j then prop |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1254 |
else if 0 < m andalso m < n_j then |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1255 |
let val (ps, qs) = splitAt (m, moved_prems) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1256 |
in Logic.list_implies (fixed_prems @ qs @ ps, concl) end |
16725 | 1257 |
else raise THM ("permute_prems: k", k, [rl]); |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1258 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1259 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1260 |
der = Pt.infer_derivs' (Pt.permute_prems_prf prems j m) der, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1261 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1262 |
shyps = shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1263 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1264 |
tpairs = tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1265 |
prop = prop'} |
7248
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
7070
diff
changeset
|
1266 |
end; |
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
7070
diff
changeset
|
1267 |
|
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
7070
diff
changeset
|
1268 |
|
0 | 1269 |
(** User renaming of parameters in a subgoal **) |
1270 |
||
1271 |
(*Calls error rather than raising an exception because it is intended |
|
1272 |
for top-level use -- exception handling would not make sense here. |
|
1273 |
The names in cs, if distinct, are used for the innermost parameters; |
|
17868 | 1274 |
preceding parameters may be renamed to make all params distinct.*) |
0 | 1275 |
fun rename_params_rule (cs, i) state = |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1276 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1277 |
val Thm {thy_ref, der, maxidx, shyps, hyps, ...} = state; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1278 |
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
|
1279 |
val iparams = map #1 (Logic.strip_params Bi); |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1280 |
val short = length iparams - length cs; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1281 |
val newnames = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1282 |
if short < 0 then error "More names than abstractions!" |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1283 |
else variantlist (Library.take (short, iparams), cs) @ cs; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1284 |
val freenames = map (#1 o dest_Free) (term_frees Bi); |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1285 |
val newBi = Logic.list_rename_params (newnames, Bi); |
250 | 1286 |
in |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1287 |
case findrep cs of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1288 |
c :: _ => (warning ("Can't rename. Bound variables not distinct: " ^ c); state) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1289 |
| [] => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1290 |
(case cs inter_string freenames of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1291 |
a :: _ => (warning ("Can't rename. Bound/Free variable clash: " ^ a); state) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1292 |
| [] => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1293 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1294 |
der = der, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1295 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1296 |
shyps = shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1297 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1298 |
tpairs = tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1299 |
prop = Logic.list_implies (Bs @ [newBi], C)}) |
0 | 1300 |
end; |
1301 |
||
12982 | 1302 |
|
0 | 1303 |
(*** Preservation of bound variable names ***) |
1304 |
||
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1305 |
fun rename_boundvars pat obj (thm as Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop}) = |
12982 | 1306 |
(case Term.rename_abs pat obj prop of |
15531 | 1307 |
NONE => thm |
1308 |
| SOME prop' => Thm |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1309 |
{thy_ref = thy_ref, |
12982 | 1310 |
der = der, |
1311 |
maxidx = maxidx, |
|
1312 |
hyps = hyps, |
|
1313 |
shyps = shyps, |
|
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1314 |
tpairs = tpairs, |
12982 | 1315 |
prop = prop'}); |
10416
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
1316 |
|
0 | 1317 |
|
16656 | 1318 |
(* strip_apply f (A, B) strips off all assumptions/parameters from A |
0 | 1319 |
introduced by lifting over B, and applies f to remaining part of A*) |
1320 |
fun strip_apply f = |
|
1321 |
let fun strip(Const("==>",_)$ A1 $ B1, |
|
250 | 1322 |
Const("==>",_)$ _ $ B2) = implies $ A1 $ strip(B1,B2) |
1323 |
| strip((c as Const("all",_)) $ Abs(a,T,t1), |
|
1324 |
Const("all",_) $ Abs(_,_,t2)) = c$Abs(a,T,strip(t1,t2)) |
|
1325 |
| strip(A,_) = f A |
|
0 | 1326 |
in strip end; |
1327 |
||
1328 |
(*Use the alist to rename all bound variables and some unknowns in a term |
|
1329 |
dpairs = current disagreement pairs; tpairs = permanent ones (flexflex); |
|
1330 |
Preserves unknowns in tpairs and on lhs of dpairs. *) |
|
1331 |
fun rename_bvs([],_,_,_) = I |
|
1332 |
| rename_bvs(al,dpairs,tpairs,B) = |
|
15574
b1d1b5bfc464
Removed practically all references to Library.foldr.
skalberg
parents:
15570
diff
changeset
|
1333 |
let val vars = foldr add_term_vars [] |
b1d1b5bfc464
Removed practically all references to Library.foldr.
skalberg
parents:
15570
diff
changeset
|
1334 |
(map fst dpairs @ map fst tpairs @ map snd tpairs) |
250 | 1335 |
(*unknowns appearing elsewhere be preserved!*) |
1336 |
val vids = map (#1 o #1 o dest_Var) vars; |
|
1337 |
fun rename(t as Var((x,i),T)) = |
|
17184 | 1338 |
(case AList.lookup (op =) al x of |
15531 | 1339 |
SOME(y) => if x mem_string vids orelse y mem_string vids then t |
250 | 1340 |
else Var((y,i),T) |
15531 | 1341 |
| NONE=> t) |
0 | 1342 |
| rename(Abs(x,T,t)) = |
18944 | 1343 |
Abs (the_default x (AList.lookup (op =) al x), T, rename t) |
0 | 1344 |
| rename(f$t) = rename f $ rename t |
1345 |
| rename(t) = t; |
|
250 | 1346 |
fun strip_ren Ai = strip_apply rename (Ai,B) |
0 | 1347 |
in strip_ren end; |
1348 |
||
1349 |
(*Function to rename bounds/unknowns in the argument, lifted over B*) |
|
1350 |
fun rename_bvars(dpairs, tpairs, B) = |
|
15574
b1d1b5bfc464
Removed practically all references to Library.foldr.
skalberg
parents:
15570
diff
changeset
|
1351 |
rename_bvs(foldr Term.match_bvars [] dpairs, dpairs, tpairs, B); |
0 | 1352 |
|
1353 |
||
1354 |
(*** RESOLUTION ***) |
|
1355 |
||
721
479832ff2d29
Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents:
678
diff
changeset
|
1356 |
(** Lifting optimizations **) |
479832ff2d29
Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents:
678
diff
changeset
|
1357 |
|
0 | 1358 |
(*strip off pairs of assumptions/parameters in parallel -- they are |
1359 |
identical because of lifting*) |
|
250 | 1360 |
fun strip_assums2 (Const("==>", _) $ _ $ B1, |
1361 |
Const("==>", _) $ _ $ B2) = strip_assums2 (B1,B2) |
|
0 | 1362 |
| strip_assums2 (Const("all",_)$Abs(a,T,t1), |
250 | 1363 |
Const("all",_)$Abs(_,_,t2)) = |
0 | 1364 |
let val (B1,B2) = strip_assums2 (t1,t2) |
1365 |
in (Abs(a,T,B1), Abs(a,T,B2)) end |
|
1366 |
| strip_assums2 BB = BB; |
|
1367 |
||
1368 |
||
721
479832ff2d29
Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents:
678
diff
changeset
|
1369 |
(*Faster normalization: skip assumptions that were lifted over*) |
479832ff2d29
Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents:
678
diff
changeset
|
1370 |
fun norm_term_skip env 0 t = Envir.norm_term env t |
479832ff2d29
Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents:
678
diff
changeset
|
1371 |
| norm_term_skip env n (Const("all",_)$Abs(a,T,t)) = |
479832ff2d29
Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents:
678
diff
changeset
|
1372 |
let val Envir.Envir{iTs, ...} = env |
15797 | 1373 |
val T' = Envir.typ_subst_TVars iTs T |
1238 | 1374 |
(*Must instantiate types of parameters because they are flattened; |
721
479832ff2d29
Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents:
678
diff
changeset
|
1375 |
this could be a NEW parameter*) |
479832ff2d29
Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents:
678
diff
changeset
|
1376 |
in all T' $ Abs(a, T', norm_term_skip env n t) end |
479832ff2d29
Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents:
678
diff
changeset
|
1377 |
| norm_term_skip env n (Const("==>", _) $ A $ B) = |
1238 | 1378 |
implies $ A $ norm_term_skip env (n-1) B |
721
479832ff2d29
Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents:
678
diff
changeset
|
1379 |
| norm_term_skip env n t = error"norm_term_skip: too few assumptions??"; |
479832ff2d29
Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents:
678
diff
changeset
|
1380 |
|
479832ff2d29
Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents:
678
diff
changeset
|
1381 |
|
0 | 1382 |
(*Composition of object rule r=(A1...Am/B) with proof state s=(B1...Bn/C) |
250 | 1383 |
Unifies B with Bi, replacing subgoal i (1 <= i <= n) |
0 | 1384 |
If match then forbid instantiations in proof state |
1385 |
If lifted then shorten the dpair using strip_assums2. |
|
1386 |
If eres_flg then simultaneously proves A1 by assumption. |
|
250 | 1387 |
nsubgoal is the number of new subgoals (written m above). |
0 | 1388 |
Curried so that resolution calls dest_state only once. |
1389 |
*) |
|
4270 | 1390 |
local exception COMPOSE |
0 | 1391 |
in |
18486 | 1392 |
fun bicompose_aux flatten match (state, (stpairs, Bs, Bi, C), lifted) |
0 | 1393 |
(eres_flg, orule, nsubgoal) = |
1529 | 1394 |
let val Thm{der=sder, maxidx=smax, shyps=sshyps, hyps=shyps, ...} = state |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1395 |
and Thm{der=rder, maxidx=rmax, shyps=rshyps, hyps=rhyps, |
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1396 |
tpairs=rtpairs, prop=rprop,...} = orule |
1529 | 1397 |
(*How many hyps to skip over during normalization*) |
1238 | 1398 |
and nlift = Logic.count_prems(strip_all_body Bi, |
1399 |
if eres_flg then ~1 else 0) |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1400 |
val thy_ref = merge_thys2 state orule; |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1401 |
val thy = Theory.deref thy_ref; |
0 | 1402 |
(** Add new theorem with prop = '[| Bs; As |] ==> C' to thq **) |
11518 | 1403 |
fun addth A (As, oldAs, rder', n) ((env as Envir.Envir {maxidx, ...}, tpairs), thq) = |
250 | 1404 |
let val normt = Envir.norm_term env; |
1405 |
(*perform minimal copying here by examining env*) |
|
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1406 |
val (ntpairs, normp) = |
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1407 |
if Envir.is_empty env then (tpairs, (Bs @ As, C)) |
250 | 1408 |
else |
1409 |
let val ntps = map (pairself normt) tpairs |
|
2147 | 1410 |
in if Envir.above (smax, env) then |
1238 | 1411 |
(*no assignments in state; normalize the rule only*) |
1412 |
if lifted |
|
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1413 |
then (ntps, (Bs @ map (norm_term_skip env nlift) As, C)) |
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1414 |
else (ntps, (Bs @ map normt As, C)) |
1529 | 1415 |
else if match then raise COMPOSE |
250 | 1416 |
else (*normalize the new rule fully*) |
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1417 |
(ntps, (map normt (Bs @ As), normt C)) |
250 | 1418 |
end |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1419 |
val th = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1420 |
Thm{thy_ref = thy_ref, |
11518 | 1421 |
der = Pt.infer_derivs |
1422 |
((if Envir.is_empty env then I |
|
1423 |
else if Envir.above (smax, env) then |
|
1424 |
(fn f => fn der => f (Pt.norm_proof' env der)) |
|
1425 |
else |
|
1426 |
curry op oo (Pt.norm_proof' env)) |
|
18486 | 1427 |
(Pt.bicompose_proof flatten Bs oldAs As A n)) rder' sder, |
2386 | 1428 |
maxidx = maxidx, |
16656 | 1429 |
shyps = may_insert_env_sorts thy env (Sorts.union rshyps sshyps), |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1430 |
hyps = union_hyps rhyps shyps, |
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1431 |
tpairs = ntpairs, |
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1432 |
prop = Logic.list_implies normp} |
11518 | 1433 |
in Seq.cons(th, thq) end handle COMPOSE => thq; |
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1434 |
val (rAs,B) = Logic.strip_prems(nsubgoal, [], rprop) |
0 | 1435 |
handle TERM _ => raise THM("bicompose: rule", 0, [orule,state]); |
1436 |
(*Modify assumptions, deleting n-th if n>0 for e-resolution*) |
|
1437 |
fun newAs(As0, n, dpairs, tpairs) = |
|
11518 | 1438 |
let val (As1, rder') = |
1439 |
if !Logic.auto_rename orelse not lifted then (As0, rder) |
|
1440 |
else (map (rename_bvars(dpairs,tpairs,B)) As0, |
|
1441 |
Pt.infer_derivs' (Pt.map_proof_terms |
|
1442 |
(rename_bvars (dpairs, tpairs, Bound 0)) I) rder); |
|
18486 | 1443 |
in (map (if flatten then (Logic.flatten_params n) else I) As1, As1, rder', n) |
250 | 1444 |
handle TERM _ => |
1445 |
raise THM("bicompose: 1st premise", 0, [orule]) |
|
0 | 1446 |
end; |
2147 | 1447 |
val env = Envir.empty(Int.max(rmax,smax)); |
0 | 1448 |
val BBi = if lifted then strip_assums2(B,Bi) else (B,Bi); |
1449 |
val dpairs = BBi :: (rtpairs@stpairs); |
|
1450 |
(*elim-resolution: try each assumption in turn. Initially n=1*) |
|
11518 | 1451 |
fun tryasms (_, _, _, []) = Seq.empty |
1452 |
| tryasms (A, As, n, (t,u)::apairs) = |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1453 |
(case Seq.pull(Unify.unifiers(thy, env, (t,u)::dpairs)) of |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1454 |
NONE => tryasms (A, As, n+1, apairs) |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1455 |
| cell as SOME((_,tpairs),_) => |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1456 |
Seq.it_right (addth A (newAs(As, n, [BBi,(u,t)], tpairs))) |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1457 |
(Seq.make(fn()=> cell), |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1458 |
Seq.make(fn()=> Seq.pull (tryasms(A, As, n+1, apairs))))) |
0 | 1459 |
fun eres [] = raise THM("bicompose: no premises", 0, [orule,state]) |
15531 | 1460 |
| eres (A1::As) = tryasms(SOME A1, As, 1, Logic.assum_pairs(nlift+1,A1)) |
0 | 1461 |
(*ordinary resolution*) |
15531 | 1462 |
fun res(NONE) = Seq.empty |
1463 |
| res(cell as SOME((_,tpairs),_)) = |
|
1464 |
Seq.it_right (addth NONE (newAs(rev rAs, 0, [BBi], tpairs))) |
|
4270 | 1465 |
(Seq.make (fn()=> cell), Seq.empty) |
0 | 1466 |
in if eres_flg then eres(rev rAs) |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1467 |
else res(Seq.pull(Unify.unifiers(thy, env, dpairs))) |
0 | 1468 |
end; |
7528 | 1469 |
end; |
0 | 1470 |
|
18501
915105af2e80
turned bicompose_no_flatten into compose_no_flatten, without elimination;
wenzelm
parents:
18486
diff
changeset
|
1471 |
fun compose_no_flatten match (orule, nsubgoal) i state = |
915105af2e80
turned bicompose_no_flatten into compose_no_flatten, without elimination;
wenzelm
parents:
18486
diff
changeset
|
1472 |
bicompose_aux false match (state, dest_state (state, i), false) (false, orule, nsubgoal); |
0 | 1473 |
|
18501
915105af2e80
turned bicompose_no_flatten into compose_no_flatten, without elimination;
wenzelm
parents:
18486
diff
changeset
|
1474 |
fun bicompose match arg i state = |
915105af2e80
turned bicompose_no_flatten into compose_no_flatten, without elimination;
wenzelm
parents:
18486
diff
changeset
|
1475 |
bicompose_aux true match (state, dest_state (state,i), false) arg; |
0 | 1476 |
|
1477 |
(*Quick test whether rule is resolvable with the subgoal with hyps Hs |
|
1478 |
and conclusion B. If eres_flg then checks 1st premise of rule also*) |
|
1479 |
fun could_bires (Hs, B, eres_flg, rule) = |
|
16847
8fc160b12e73
invoke_oracle: do not keep theory value, but theory_ref;
wenzelm
parents:
16725
diff
changeset
|
1480 |
let fun could_reshyp (A1::_) = exists (fn H => could_unify (A1, H)) Hs |
250 | 1481 |
| could_reshyp [] = false; (*no premise -- illegal*) |
1482 |
in could_unify(concl_of rule, B) andalso |
|
1483 |
(not eres_flg orelse could_reshyp (prems_of rule)) |
|
0 | 1484 |
end; |
1485 |
||
1486 |
(*Bi-resolution of a state with a list of (flag,rule) pairs. |
|
1487 |
Puts the rule above: rule/state. Renames vars in the rules. *) |
|
250 | 1488 |
fun biresolution match brules i state = |
18035 | 1489 |
let val (stpairs, Bs, Bi, C) = dest_state(state,i); |
18145 | 1490 |
val lift = lift_rule (cprem_of state i); |
250 | 1491 |
val B = Logic.strip_assums_concl Bi; |
1492 |
val Hs = Logic.strip_assums_hyp Bi; |
|
18486 | 1493 |
val comp = bicompose_aux true match (state, (stpairs, Bs, Bi, C), true); |
4270 | 1494 |
fun res [] = Seq.empty |
250 | 1495 |
| res ((eres_flg, rule)::brules) = |
13642
a3d97348ceb6
added failure trace information to pattern unification
nipkow
parents:
13629
diff
changeset
|
1496 |
if !Pattern.trace_unify_fail orelse |
a3d97348ceb6
added failure trace information to pattern unification
nipkow
parents:
13629
diff
changeset
|
1497 |
could_bires (Hs, B, eres_flg, rule) |
4270 | 1498 |
then Seq.make (*delay processing remainder till needed*) |
15531 | 1499 |
(fn()=> SOME(comp (eres_flg, lift rule, nprems_of rule), |
250 | 1500 |
res brules)) |
1501 |
else res brules |
|
4270 | 1502 |
in Seq.flat (res brules) end; |
0 | 1503 |
|
1504 |
||
2509 | 1505 |
(*** Oracles ***) |
1506 |
||
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1507 |
fun invoke_oracle_i thy1 name = |
3812 | 1508 |
let |
1509 |
val oracle = |
|
17412 | 1510 |
(case Symtab.lookup (#2 (#oracles (Theory.rep_theory thy1))) name of |
15531 | 1511 |
NONE => raise THM ("Unknown oracle: " ^ name, 0, []) |
1512 |
| SOME (f, _) => f); |
|
16847
8fc160b12e73
invoke_oracle: do not keep theory value, but theory_ref;
wenzelm
parents:
16725
diff
changeset
|
1513 |
val thy_ref1 = Theory.self_ref thy1; |
3812 | 1514 |
in |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1515 |
fn (thy2, data) => |
3812 | 1516 |
let |
16847
8fc160b12e73
invoke_oracle: do not keep theory value, but theory_ref;
wenzelm
parents:
16725
diff
changeset
|
1517 |
val thy' = Theory.merge (Theory.deref thy_ref1, thy2); |
14828 | 1518 |
val (prop, T, maxidx) = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1519 |
Sign.certify_term (Sign.pp thy') thy' (oracle (thy', data)); |
3812 | 1520 |
in |
1521 |
if T <> propT then |
|
1522 |
raise THM ("Oracle's result must have type prop: " ^ name, 0, []) |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1523 |
else |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1524 |
Thm {thy_ref = Theory.self_ref thy', |
11518 | 1525 |
der = (true, Pt.oracle_proof name prop), |
3812 | 1526 |
maxidx = maxidx, |
16656 | 1527 |
shyps = may_insert_term_sorts thy' prop [], |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1528 |
hyps = [], |
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1529 |
tpairs = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1530 |
prop = prop} |
3812 | 1531 |
end |
1532 |
end; |
|
1533 |
||
15672 | 1534 |
fun invoke_oracle thy = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1535 |
invoke_oracle_i thy o NameSpace.intern (Theory.oracle_space thy); |
15672 | 1536 |
|
0 | 1537 |
end; |
1503 | 1538 |
|
6089 | 1539 |
structure BasicThm: BASIC_THM = Thm; |
1540 |
open BasicThm; |