author | wenzelm |
Sat, 14 Apr 2007 17:35:52 +0200 | |
changeset 22675 | acf10be7dcca |
parent 22596 | d0d2af4db18f |
child 22685 | fc4ef3807fb9 |
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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T: typ, |
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maxidx: int, |
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sorts: sort list} |
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val theory_of_ctyp: ctyp -> theory |
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val typ_of: ctyp -> typ |
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val ctyp_of: theory -> typ -> ctyp |
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val read_ctyp: theory -> string -> ctyp |
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(*certified terms*) |
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type cterm |
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exception CTERM of string * cterm list |
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val rep_cterm: cterm -> |
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{thy: theory, |
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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 -> {thy: theory, t: term, T: ctyp, maxidx: int, sorts: sort list} |
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val theory_of_cterm: cterm -> theory |
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val term_of: cterm -> term |
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val cterm_of: theory -> term -> cterm |
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val ctyp_of_term: cterm -> ctyp |
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val read_cterm: theory -> string * typ -> cterm |
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val read_def_cterm: |
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theory * (indexname -> typ option) * (indexname -> sort option) -> |
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string list -> bool -> string * typ -> cterm * (indexname * typ) list |
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val read_def_cterms: |
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theory * (indexname -> typ option) * (indexname -> sort option) -> |
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string list -> bool -> (string * typ)list |
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-> cterm list * (indexname * typ)list |
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type tag (* = string * string list *) |
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(*meta theorems*) |
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type thm |
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type attribute (* = Context.generic * thm -> Context.generic * thm *) |
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val rep_thm: thm -> |
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{thy: theory, |
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der: bool * Proofterm.proof, |
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tags: tag list, |
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maxidx: int, |
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shyps: sort list, |
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hyps: term list, |
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tpairs: (term * term) list, |
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prop: term} |
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val crep_thm: thm -> |
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{thy: theory, |
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der: bool * Proofterm.proof, |
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tags: tag list, |
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maxidx: int, |
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shyps: sort list, |
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hyps: cterm list, |
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tpairs: (cterm * cterm) list, |
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prop: cterm} |
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exception THM of string * int * thm list |
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val theory_of_thm: thm -> theory |
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val prop_of: thm -> term |
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val proof_of: thm -> Proofterm.proof |
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val tpairs_of: thm -> (term * term) list |
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val concl_of: thm -> term |
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val prems_of: thm -> term list |
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val nprems_of: thm -> int |
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val cprop_of: thm -> cterm |
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val cprem_of: thm -> int -> cterm |
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val transfer: theory -> thm -> thm |
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val weaken: cterm -> thm -> thm |
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val extra_shyps: thm -> sort list |
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val strip_shyps: thm -> thm |
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val get_axiom_i: theory -> string -> thm |
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val get_axiom: theory -> xstring -> thm |
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val def_name: string -> string |
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val def_name_optional: string -> string -> string |
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val get_def: theory -> xstring -> thm |
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val axioms_of: theory -> (string * thm) list |
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(*meta rules*) |
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val assume: cterm -> thm |
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val implies_intr: cterm -> thm -> thm |
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val implies_elim: thm -> thm -> thm |
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val forall_intr: cterm -> thm -> thm |
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val forall_elim: cterm -> thm -> thm |
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val reflexive: cterm -> thm |
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val symmetric: thm -> thm |
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val transitive: thm -> thm -> thm |
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val beta_conversion: bool -> cterm -> thm |
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val eta_conversion: cterm -> thm |
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val abstract_rule: string -> cterm -> thm -> thm |
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val combination: thm -> thm -> thm |
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val equal_intr: thm -> thm -> thm |
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val equal_elim: thm -> thm -> thm |
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val flexflex_rule: thm -> thm Seq.seq |
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val generalize: string list * string list -> int -> thm -> thm |
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val instantiate: (ctyp * ctyp) list * (cterm * cterm) list -> thm -> thm |
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val instantiate_cterm: (ctyp * ctyp) list * (cterm * cterm) list -> cterm -> cterm |
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val trivial: cterm -> thm |
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val class_triv: theory -> class -> thm |
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val unconstrainT: ctyp -> thm -> thm |
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val dest_state: thm * int -> (term * term) list * term list * term * term |
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val lift_rule: cterm -> thm -> thm |
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val incr_indexes: int -> thm -> thm |
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val assumption: int -> thm -> thm Seq.seq |
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val eq_assumption: int -> thm -> thm |
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val rotate_rule: int -> int -> thm -> thm |
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val permute_prems: int -> int -> thm -> thm |
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val rename_params_rule: string list * int -> thm -> thm |
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val compose_no_flatten: bool -> thm * int -> int -> thm -> thm Seq.seq |
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val bicompose: bool -> bool * thm * int -> int -> thm -> thm Seq.seq |
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val biresolution: bool -> (bool * thm) list -> int -> thm -> thm Seq.seq |
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val invoke_oracle: theory -> xstring -> theory * Object.T -> thm |
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val invoke_oracle_i: theory -> string -> theory * Object.T -> thm |
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end; |
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signature THM = |
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sig |
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include BASIC_THM |
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val dest_ctyp: ctyp -> ctyp list |
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val dest_comb: cterm -> cterm * cterm |
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val dest_arg: cterm -> cterm |
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val dest_binop: cterm -> cterm * cterm |
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val dest_abs: string option -> cterm -> cterm * cterm |
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val adjust_maxidx_cterm: int -> cterm -> cterm |
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val capply: cterm -> cterm -> cterm |
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val cabs: cterm -> cterm -> cterm |
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val major_prem_of: thm -> term |
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val no_prems: thm -> bool |
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val terms_of_tpairs: (term * term) list -> term list |
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val maxidx_of: thm -> int |
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val maxidx_thm: thm -> int -> int |
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val hyps_of: thm -> term list |
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val full_prop_of: thm -> term |
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val get_name: thm -> string |
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val put_name: string -> thm -> thm |
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val get_tags: thm -> tag list |
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val map_tags: (tag list -> tag list) -> thm -> thm |
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val compress: thm -> thm |
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val adjust_maxidx_thm: int -> thm -> thm |
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val rename_boundvars: term -> term -> thm -> thm |
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val cterm_match: cterm * cterm -> (ctyp * ctyp) list * (cterm * cterm) list |
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val cterm_first_order_match: cterm * cterm -> (ctyp * ctyp) list * (cterm * cterm) list |
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val cterm_incr_indexes: int -> cterm -> cterm |
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val varifyT: thm -> thm |
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val varifyT': (string * sort) list -> thm -> ((string * sort) * indexname) list * thm |
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val freezeT: thm -> thm |
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end; |
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||
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structure Thm: THM = |
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struct |
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structure Pt = Proofterm; |
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(*** Certified terms and types ***) |
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(** collect occurrences of sorts -- unless all sorts non-empty **) |
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||
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fun may_insert_typ_sorts thy T = if Sign.all_sorts_nonempty thy then I else Sorts.insert_typ T; |
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fun may_insert_term_sorts thy t = if Sign.all_sorts_nonempty thy then I else Sorts.insert_term t; |
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16656 | 173 |
|
174 |
(*NB: type unification may invent new sorts*) |
|
175 |
fun may_insert_env_sorts thy (env as Envir.Envir {iTs, ...}) = |
|
176 |
if Sign.all_sorts_nonempty thy then I |
|
177 |
else Vartab.fold (fn (_, (_, T)) => Sorts.insert_typ T) iTs; |
|
178 |
||
179 |
||
180 |
||
250 | 181 |
(** certified types **) |
182 |
||
22237
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old-fashioned abstype ctyp/cterm/thm prevents accidental equality tests;
wenzelm
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diff
changeset
|
183 |
abstype ctyp = Ctyp of |
20512 | 184 |
{thy_ref: theory_ref, |
185 |
T: typ, |
|
186 |
maxidx: int, |
|
22237
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wenzelm
parents:
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diff
changeset
|
187 |
sorts: sort list} |
bb9b1c8a8a95
old-fashioned abstype ctyp/cterm/thm prevents accidental equality tests;
wenzelm
parents:
21975
diff
changeset
|
188 |
with |
250 | 189 |
|
20512 | 190 |
fun rep_ctyp (Ctyp {thy_ref, T, maxidx, sorts}) = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
191 |
let val thy = Theory.deref thy_ref |
22596 | 192 |
in {thy = thy, T = T, maxidx = maxidx, sorts = sorts} end; |
250 | 193 |
|
16656 | 194 |
fun theory_of_ctyp (Ctyp {thy_ref, ...}) = Theory.deref thy_ref; |
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accomodate identification of type Sign.sg and theory;
wenzelm
parents:
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diff
changeset
|
195 |
|
250 | 196 |
fun typ_of (Ctyp {T, ...}) = T; |
197 |
||
16656 | 198 |
fun ctyp_of thy raw_T = |
20512 | 199 |
let val T = Sign.certify_typ thy raw_T in |
200 |
Ctyp {thy_ref = Theory.self_ref thy, T = T, |
|
201 |
maxidx = Term.maxidx_of_typ T, sorts = may_insert_typ_sorts thy T []} |
|
202 |
end; |
|
250 | 203 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
204 |
fun read_ctyp thy s = |
20512 | 205 |
let val T = Sign.read_typ (thy, K NONE) s in |
206 |
Ctyp {thy_ref = Theory.self_ref thy, T = T, |
|
207 |
maxidx = Term.maxidx_of_typ T, sorts = may_insert_typ_sorts thy T []} |
|
208 |
end; |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
225
diff
changeset
|
209 |
|
20512 | 210 |
fun dest_ctyp (Ctyp {thy_ref, T = Type (s, Ts), maxidx, sorts}) = |
211 |
map (fn T => Ctyp {thy_ref = thy_ref, T = T, maxidx = maxidx, sorts = sorts}) Ts |
|
16679 | 212 |
| dest_ctyp cT = raise TYPE ("dest_ctyp", [typ_of cT], []); |
15087 | 213 |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
225
diff
changeset
|
214 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
225
diff
changeset
|
215 |
|
250 | 216 |
(** certified terms **) |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
225
diff
changeset
|
217 |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
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changeset
|
218 |
(*certified terms with checked typ, maxidx, and sorts*) |
22237
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old-fashioned abstype ctyp/cterm/thm prevents accidental equality tests;
wenzelm
parents:
21975
diff
changeset
|
219 |
abstype cterm = Cterm of |
16601
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more efficient treatment of shyps and hyps (use ordered lists);
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parents:
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changeset
|
220 |
{thy_ref: theory_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
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diff
changeset
|
221 |
t: term, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
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changeset
|
222 |
T: typ, |
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parents:
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changeset
|
223 |
maxidx: int, |
22237
bb9b1c8a8a95
old-fashioned abstype ctyp/cterm/thm prevents accidental equality tests;
wenzelm
parents:
21975
diff
changeset
|
224 |
sorts: sort list} |
bb9b1c8a8a95
old-fashioned abstype ctyp/cterm/thm prevents accidental equality tests;
wenzelm
parents:
21975
diff
changeset
|
225 |
with |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
226 |
|
22584 | 227 |
exception CTERM of string * cterm list; |
16679 | 228 |
|
16601
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wenzelm
parents:
16425
diff
changeset
|
229 |
fun rep_cterm (Cterm {thy_ref, t, T, maxidx, sorts}) = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
230 |
let val thy = Theory.deref thy_ref |
22596 | 231 |
in {thy = thy, t = t, T = T, maxidx = maxidx, sorts = sorts} end; |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
225
diff
changeset
|
232 |
|
16601
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wenzelm
parents:
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diff
changeset
|
233 |
fun crep_cterm (Cterm {thy_ref, t, T, maxidx, sorts}) = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
234 |
let val thy = Theory.deref thy_ref in |
22596 | 235 |
{thy = thy, t = t, |
20512 | 236 |
T = Ctyp {thy_ref = thy_ref, T = T, maxidx = maxidx, sorts = sorts}, |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
237 |
maxidx = maxidx, sorts = sorts} |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
238 |
end; |
3967
edd5ff9371f8
sg_ref: automatic adjustment of thms of draft theories;
wenzelm
parents:
3895
diff
changeset
|
239 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
240 |
fun theory_of_cterm (Cterm {thy_ref, ...}) = Theory.deref thy_ref; |
250 | 241 |
fun term_of (Cterm {t, ...}) = t; |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
225
diff
changeset
|
242 |
|
20512 | 243 |
fun ctyp_of_term (Cterm {thy_ref, T, maxidx, sorts, ...}) = |
244 |
Ctyp {thy_ref = thy_ref, T = T, maxidx = maxidx, sorts = sorts}; |
|
2671 | 245 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
246 |
fun cterm_of thy tm = |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
247 |
let |
18969 | 248 |
val (t, T, maxidx) = Sign.certify_term thy tm; |
16656 | 249 |
val sorts = may_insert_term_sorts thy t []; |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
250 |
in Cterm {thy_ref = Theory.self_ref thy, t = t, T = T, maxidx = maxidx, sorts = sorts} end; |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
225
diff
changeset
|
251 |
|
20057 | 252 |
fun merge_thys0 (Cterm {thy_ref = r1, t = t1, ...}) (Cterm {thy_ref = r2, t = t2, ...}) = |
253 |
Theory.merge_refs (r1, r2) handle TERM (msg, _) => raise TERM (msg, [t1, t2]); |
|
16656 | 254 |
|
20580
6fb75df09253
added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents:
20548
diff
changeset
|
255 |
|
22584 | 256 |
fun dest_comb (ct as Cterm {t = t $ u, T, thy_ref, maxidx, sorts}) = |
16679 | 257 |
let val A = Term.argument_type_of t in |
258 |
(Cterm {t = t, T = A --> T, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts}, |
|
259 |
Cterm {t = u, T = A, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts}) |
|
1493
e936723cb94d
added dest_comb, dest_abs and mk_prop for manipulating cterms
clasohm
parents:
1460
diff
changeset
|
260 |
end |
22584 | 261 |
| dest_comb ct = raise CTERM ("dest_comb", [ct]); |
1493
e936723cb94d
added dest_comb, dest_abs and mk_prop for manipulating cterms
clasohm
parents:
1460
diff
changeset
|
262 |
|
22584 | 263 |
fun dest_arg (ct as Cterm {t = t $ u, T, thy_ref, maxidx, sorts}) = |
20580
6fb75df09253
added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents:
20548
diff
changeset
|
264 |
let val A = Term.argument_type_of t in |
6fb75df09253
added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents:
20548
diff
changeset
|
265 |
Cterm {t = u, T = A, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts} |
6fb75df09253
added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents:
20548
diff
changeset
|
266 |
end |
22584 | 267 |
| dest_arg ct = raise CTERM ("dest_arg", [ct]); |
20580
6fb75df09253
added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents:
20548
diff
changeset
|
268 |
|
22584 | 269 |
fun dest_binop (ct as Cterm {t = tm, T = _, thy_ref, maxidx, sorts}) = |
20673 | 270 |
let fun cterm t T = Cterm {t = t, T = T, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts} in |
271 |
(case tm of |
|
272 |
Const (_, Type ("fun", [A, Type ("fun", [B, _])])) $ a $ b => (cterm a A, cterm b B) |
|
273 |
| Free (_, Type ("fun", [A, Type ("fun", [B, _])])) $ a $ b => (cterm a A, cterm b B) |
|
274 |
| Var (_, Type ("fun", [A, Type ("fun", [B, _])])) $ a $ b => (cterm a A, cterm b B) |
|
22584 | 275 |
| _ => raise CTERM ("dest_binop", [ct])) |
20673 | 276 |
end; |
277 |
||
22584 | 278 |
fun dest_abs a (ct as |
279 |
Cterm {t = Abs (x, T, t), T = Type ("fun", [_, U]), thy_ref, maxidx, sorts}) = |
|
18944 | 280 |
let val (y', t') = Term.dest_abs (the_default x a, T, t) in |
16679 | 281 |
(Cterm {t = Free (y', T), T = T, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts}, |
282 |
Cterm {t = t', T = U, thy_ref = thy_ref, maxidx = maxidx, sorts = sorts}) |
|
1493
e936723cb94d
added dest_comb, dest_abs and mk_prop for manipulating cterms
clasohm
parents:
1460
diff
changeset
|
283 |
end |
22584 | 284 |
| dest_abs _ ct = raise CTERM ("dest_abs", [ct]); |
1493
e936723cb94d
added dest_comb, dest_abs and mk_prop for manipulating cterms
clasohm
parents:
1460
diff
changeset
|
285 |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
286 |
fun capply |
16656 | 287 |
(cf as Cterm {t = f, T = Type ("fun", [dty, rty]), maxidx = maxidx1, sorts = sorts1, ...}) |
288 |
(cx as Cterm {t = x, T, maxidx = maxidx2, sorts = sorts2, ...}) = |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
289 |
if T = dty then |
16656 | 290 |
Cterm {thy_ref = merge_thys0 cf cx, |
291 |
t = f $ x, |
|
292 |
T = rty, |
|
293 |
maxidx = Int.max (maxidx1, maxidx2), |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
294 |
sorts = Sorts.union sorts1 sorts2} |
22584 | 295 |
else raise CTERM ("capply: types don't agree", [cf, cx]) |
296 |
| capply cf cx = raise CTERM ("capply: first arg is not a function", [cf, cx]); |
|
250 | 297 |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
298 |
fun cabs |
16656 | 299 |
(ct1 as Cterm {t = t1, T = T1, maxidx = maxidx1, sorts = sorts1, ...}) |
300 |
(ct2 as Cterm {t = t2, T = T2, maxidx = maxidx2, sorts = sorts2, ...}) = |
|
21975
1152dc45d591
Term.lambda: abstract over arbitrary closed terms;
wenzelm
parents:
21798
diff
changeset
|
301 |
let val t = Term.lambda t1 t2 in |
16656 | 302 |
Cterm {thy_ref = merge_thys0 ct1 ct2, |
303 |
t = t, T = T1 --> T2, |
|
304 |
maxidx = Int.max (maxidx1, maxidx2), |
|
305 |
sorts = Sorts.union sorts1 sorts2} |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
306 |
end; |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
225
diff
changeset
|
307 |
|
20580
6fb75df09253
added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents:
20548
diff
changeset
|
308 |
|
6fb75df09253
added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents:
20548
diff
changeset
|
309 |
fun adjust_maxidx_cterm i (ct as Cterm {thy_ref, t, T, maxidx, sorts}) = |
6fb75df09253
added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents:
20548
diff
changeset
|
310 |
if maxidx = i then ct |
6fb75df09253
added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents:
20548
diff
changeset
|
311 |
else if maxidx < i then |
6fb75df09253
added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents:
20548
diff
changeset
|
312 |
Cterm {maxidx = i, thy_ref = thy_ref, t = t, T = T, sorts = sorts} |
6fb75df09253
added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents:
20548
diff
changeset
|
313 |
else |
6fb75df09253
added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents:
20548
diff
changeset
|
314 |
Cterm {maxidx = Int.max (maxidx_of_term t, i), thy_ref = thy_ref, t = t, T = T, sorts = sorts}; |
6fb75df09253
added dest_arg, i.e. a tuned version of #2 o dest_comb;
wenzelm
parents:
20548
diff
changeset
|
315 |
|
10416
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
316 |
(*Matching of cterms*) |
16656 | 317 |
fun gen_cterm_match match |
20512 | 318 |
(ct1 as Cterm {t = t1, sorts = sorts1, ...}, |
20815 | 319 |
ct2 as Cterm {t = t2, sorts = sorts2, maxidx = maxidx2, ...}) = |
10416
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
320 |
let |
16656 | 321 |
val thy_ref = merge_thys0 ct1 ct2; |
18184 | 322 |
val (Tinsts, tinsts) = match (Theory.deref thy_ref) (t1, t2) (Vartab.empty, Vartab.empty); |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
323 |
val sorts = Sorts.union sorts1 sorts2; |
20512 | 324 |
fun mk_cTinst ((a, i), (S, T)) = |
325 |
(Ctyp {T = TVar ((a, i), S), thy_ref = thy_ref, maxidx = i, sorts = sorts}, |
|
20815 | 326 |
Ctyp {T = T, thy_ref = thy_ref, maxidx = maxidx2, sorts = sorts}); |
20512 | 327 |
fun mk_ctinst ((x, i), (T, t)) = |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
328 |
let val T = Envir.typ_subst_TVars Tinsts T in |
20512 | 329 |
(Cterm {t = Var ((x, i), T), T = T, thy_ref = thy_ref, maxidx = i, sorts = sorts}, |
20815 | 330 |
Cterm {t = t, T = T, thy_ref = thy_ref, maxidx = maxidx2, sorts = sorts}) |
10416
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
331 |
end; |
16656 | 332 |
in (Vartab.fold (cons o mk_cTinst) Tinsts [], Vartab.fold (cons o mk_ctinst) tinsts []) end; |
10416
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
333 |
|
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
334 |
val cterm_match = gen_cterm_match Pattern.match; |
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
335 |
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
|
336 |
|
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
337 |
(*Incrementing indexes*) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
338 |
fun cterm_incr_indexes i (ct as Cterm {thy_ref, t, T, maxidx, sorts}) = |
22584 | 339 |
if i < 0 then raise CTERM ("negative increment", [ct]) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
340 |
else if i = 0 then ct |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
341 |
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
|
342 |
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
|
343 |
|
2509 | 344 |
|
345 |
||
574 | 346 |
(** read cterms **) (*exception ERROR*) |
250 | 347 |
|
4281
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
348 |
(*read terms, infer types, certify terms*) |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
349 |
fun read_def_cterms (thy, types, sorts) used freeze sTs = |
250 | 350 |
let |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
351 |
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
|
352 |
val cts = map (cterm_of thy) ts' |
2979 | 353 |
handle TYPE (msg, _, _) => error msg |
2386 | 354 |
| TERM (msg, _) => error msg; |
4281
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
355 |
in (cts, tye) end; |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
356 |
|
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
357 |
(*read term, infer types, certify term*) |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
358 |
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
|
359 |
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
|
360 |
in (ct,tye) end; |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
225
diff
changeset
|
361 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
362 |
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
|
363 |
|
250 | 364 |
|
2509 | 365 |
|
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
366 |
(*** Meta theorems ***) |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
225
diff
changeset
|
367 |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
368 |
type tag = string * string list; |
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
369 |
|
22237
bb9b1c8a8a95
old-fashioned abstype ctyp/cterm/thm prevents accidental equality tests;
wenzelm
parents:
21975
diff
changeset
|
370 |
abstype thm = Thm of |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
371 |
{thy_ref: theory_ref, (*dynamic reference to theory*) |
11518 | 372 |
der: bool * Pt.proof, (*derivation*) |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
373 |
tags: tag list, (*additional annotations/comments*) |
3967
edd5ff9371f8
sg_ref: automatic adjustment of thms of draft theories;
wenzelm
parents:
3895
diff
changeset
|
374 |
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
|
375 |
shyps: sort list, (*sort hypotheses as ordered list*) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
376 |
hyps: term list, (*hypotheses as ordered list*) |
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
377 |
tpairs: (term * term) list, (*flex-flex pairs*) |
22237
bb9b1c8a8a95
old-fashioned abstype ctyp/cterm/thm prevents accidental equality tests;
wenzelm
parents:
21975
diff
changeset
|
378 |
prop: term} (*conclusion*) |
bb9b1c8a8a95
old-fashioned abstype ctyp/cterm/thm prevents accidental equality tests;
wenzelm
parents:
21975
diff
changeset
|
379 |
with |
0 | 380 |
|
22365 | 381 |
(*attributes subsume any kind of rules or context modifiers*) |
382 |
type attribute = Context.generic * thm -> Context.generic * thm; |
|
383 |
||
16725 | 384 |
(*errors involving theorems*) |
385 |
exception THM of string * int * thm list; |
|
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
386 |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
387 |
fun rep_thm (Thm {thy_ref, der, tags, maxidx, shyps, hyps, tpairs, prop}) = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
388 |
let val thy = Theory.deref thy_ref in |
22596 | 389 |
{thy = thy, der = der, tags = tags, maxidx = maxidx, |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
390 |
shyps = shyps, hyps = hyps, tpairs = tpairs, prop = prop} |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
391 |
end; |
0 | 392 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
393 |
(*version of rep_thm returning cterms instead of terms*) |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
394 |
fun crep_thm (Thm {thy_ref, der, tags, maxidx, shyps, hyps, tpairs, prop}) = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
395 |
let |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
396 |
val thy = Theory.deref thy_ref; |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
397 |
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
|
398 |
in |
22596 | 399 |
{thy = thy, der = der, tags = tags, maxidx = maxidx, shyps = shyps, |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
400 |
hyps = map (cterm ~1) hyps, |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
401 |
tpairs = map (pairself (cterm maxidx)) tpairs, |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
402 |
prop = cterm maxidx prop} |
1517 | 403 |
end; |
404 |
||
16725 | 405 |
fun terms_of_tpairs tpairs = fold_rev (fn (t, u) => cons t o cons u) tpairs []; |
406 |
||
407 |
fun eq_tpairs ((t, u), (t', u')) = t aconv t' andalso u aconv u'; |
|
18944 | 408 |
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
|
409 |
val maxidx_tpairs = fold (fn (t, u) => Term.maxidx_term t #> Term.maxidx_term u); |
16725 | 410 |
|
411 |
fun attach_tpairs tpairs prop = |
|
412 |
Logic.list_implies (map Logic.mk_equals tpairs, prop); |
|
413 |
||
414 |
fun full_prop_of (Thm {tpairs, prop, ...}) = attach_tpairs tpairs prop; |
|
16945 | 415 |
|
22365 | 416 |
val union_hyps = OrdList.union Term.fast_term_ord; |
417 |
||
16945 | 418 |
|
419 |
(* merge theories of cterms/thms; raise exception if incompatible *) |
|
420 |
||
421 |
fun merge_thys1 (Cterm {thy_ref = r1, ...}) (th as Thm {thy_ref = r2, ...}) = |
|
422 |
Theory.merge_refs (r1, r2) handle TERM (msg, _) => raise THM (msg, 0, [th]); |
|
423 |
||
424 |
fun merge_thys2 (th1 as Thm {thy_ref = r1, ...}) (th2 as Thm {thy_ref = r2, ...}) = |
|
425 |
Theory.merge_refs (r1, r2) handle TERM (msg, _) => raise THM (msg, 0, [th1, th2]); |
|
426 |
||
0 | 427 |
|
22365 | 428 |
(* basic components *) |
16135 | 429 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
430 |
fun theory_of_thm (Thm {thy_ref, ...}) = Theory.deref thy_ref; |
19429 | 431 |
fun maxidx_of (Thm {maxidx, ...}) = maxidx; |
19910 | 432 |
fun maxidx_thm th i = Int.max (maxidx_of th, i); |
19881 | 433 |
fun hyps_of (Thm {hyps, ...}) = hyps; |
12803 | 434 |
fun prop_of (Thm {prop, ...}) = prop; |
13528 | 435 |
fun proof_of (Thm {der = (_, proof), ...}) = proof; |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
436 |
fun tpairs_of (Thm {tpairs, ...}) = tpairs; |
0 | 437 |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
438 |
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
|
439 |
val prems_of = Logic.strip_imp_prems o prop_of; |
21576 | 440 |
val nprems_of = Logic.count_prems o prop_of; |
19305 | 441 |
fun no_prems th = nprems_of th = 0; |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
442 |
|
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
443 |
fun major_prem_of th = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
444 |
(case prems_of th of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
445 |
prem :: _ => Logic.strip_assums_concl prem |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
446 |
| [] => 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
|
447 |
|
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
448 |
(*the statement of any thm is a cterm*) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
449 |
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
|
450 |
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
|
451 |
|
18145 | 452 |
fun cprem_of (th as Thm {thy_ref, maxidx, shyps, prop, ...}) i = |
18035 | 453 |
Cterm {thy_ref = thy_ref, maxidx = maxidx, T = propT, sorts = shyps, |
18145 | 454 |
t = Logic.nth_prem (i, prop) handle TERM _ => raise THM ("cprem_of", i, [th])}; |
18035 | 455 |
|
16656 | 456 |
(*explicit transfer to a super theory*) |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
457 |
fun transfer thy' thm = |
3895 | 458 |
let |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
459 |
val Thm {thy_ref, der, tags, maxidx, shyps, hyps, tpairs, prop} = thm; |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
460 |
val thy = Theory.deref thy_ref; |
3895 | 461 |
in |
16945 | 462 |
if not (subthy (thy, thy')) then |
463 |
raise THM ("transfer: not a super theory", 0, [thm]) |
|
464 |
else if eq_thy (thy, thy') then thm |
|
465 |
else |
|
466 |
Thm {thy_ref = Theory.self_ref thy', |
|
467 |
der = der, |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
468 |
tags = tags, |
16945 | 469 |
maxidx = maxidx, |
470 |
shyps = shyps, |
|
471 |
hyps = hyps, |
|
472 |
tpairs = tpairs, |
|
473 |
prop = prop} |
|
3895 | 474 |
end; |
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
475 |
|
16945 | 476 |
(*explicit weakening: maps |- B to A |- B*) |
477 |
fun weaken raw_ct th = |
|
478 |
let |
|
20261 | 479 |
val ct as Cterm {t = A, T, sorts, maxidx = maxidxA, ...} = adjust_maxidx_cterm ~1 raw_ct; |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
480 |
val Thm {der, tags, maxidx, shyps, hyps, tpairs, prop, ...} = th; |
16945 | 481 |
in |
482 |
if T <> propT then |
|
483 |
raise THM ("weaken: assumptions must have type prop", 0, []) |
|
484 |
else if maxidxA <> ~1 then |
|
485 |
raise THM ("weaken: assumptions may not contain schematic variables", maxidxA, []) |
|
486 |
else |
|
487 |
Thm {thy_ref = merge_thys1 ct th, |
|
488 |
der = der, |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
489 |
tags = tags, |
16945 | 490 |
maxidx = maxidx, |
491 |
shyps = Sorts.union sorts shyps, |
|
22365 | 492 |
hyps = OrdList.insert Term.fast_term_ord A hyps, |
16945 | 493 |
tpairs = tpairs, |
494 |
prop = prop} |
|
495 |
end; |
|
16656 | 496 |
|
497 |
||
0 | 498 |
|
1238 | 499 |
(** sort contexts of theorems **) |
500 |
||
16656 | 501 |
fun present_sorts (Thm {hyps, tpairs, prop, ...}) = |
502 |
fold (fn (t, u) => Sorts.insert_term t o Sorts.insert_term u) tpairs |
|
503 |
(Sorts.insert_terms hyps (Sorts.insert_term prop [])); |
|
1238 | 504 |
|
7642 | 505 |
(*remove extra sorts that are non-empty by virtue of type signature information*) |
506 |
fun strip_shyps (thm as Thm {shyps = [], ...}) = thm |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
507 |
| strip_shyps (thm as Thm {thy_ref, der, tags, maxidx, shyps, hyps, tpairs, prop}) = |
7642 | 508 |
let |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
509 |
val thy = Theory.deref thy_ref; |
16656 | 510 |
val shyps' = |
511 |
if Sign.all_sorts_nonempty thy then [] |
|
512 |
else |
|
513 |
let |
|
514 |
val present = present_sorts thm; |
|
515 |
val extra = Sorts.subtract present shyps; |
|
516 |
val witnessed = map #2 (Sign.witness_sorts thy present extra); |
|
517 |
in Sorts.subtract witnessed shyps end; |
|
7642 | 518 |
in |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
519 |
Thm {thy_ref = thy_ref, der = der, tags = tags, maxidx = maxidx, |
16656 | 520 |
shyps = shyps', hyps = hyps, tpairs = tpairs, prop = prop} |
7642 | 521 |
end; |
1238 | 522 |
|
16656 | 523 |
(*dangling sort constraints of a thm*) |
524 |
fun extra_shyps (th as Thm {shyps, ...}) = Sorts.subtract (present_sorts th) shyps; |
|
525 |
||
1238 | 526 |
|
527 |
||
1529 | 528 |
(** Axioms **) |
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
529 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
530 |
(*look up the named axiom in the theory or its ancestors*) |
15672 | 531 |
fun get_axiom_i theory name = |
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
532 |
let |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
533 |
fun get_ax thy = |
17412 | 534 |
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
|
535 |
|> Option.map (fn prop => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
536 |
Thm {thy_ref = Theory.self_ref thy, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
537 |
der = Pt.infer_derivs' I (false, Pt.axm_proof name prop), |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
538 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
539 |
maxidx = maxidx_of_term prop, |
16656 | 540 |
shyps = may_insert_term_sorts thy prop [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
541 |
hyps = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
542 |
tpairs = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
543 |
prop = prop}); |
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
544 |
in |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
545 |
(case get_first get_ax (theory :: Theory.ancestors_of theory) of |
15531 | 546 |
SOME thm => thm |
547 |
| NONE => raise THEORY ("No axiom " ^ quote name, [theory])) |
|
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
548 |
end; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
549 |
|
16352 | 550 |
fun get_axiom thy = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
551 |
get_axiom_i thy o NameSpace.intern (Theory.axiom_space thy); |
15672 | 552 |
|
20884 | 553 |
fun def_name c = c ^ "_def"; |
554 |
||
555 |
fun def_name_optional c "" = def_name c |
|
556 |
| def_name_optional _ name = name; |
|
557 |
||
6368 | 558 |
fun get_def thy = get_axiom thy o def_name; |
4847 | 559 |
|
1529 | 560 |
|
776
df8f91c0e57c
improved axioms_of: returns thms as the manual says;
wenzelm
parents:
721
diff
changeset
|
561 |
(*return additional axioms of this theory node*) |
df8f91c0e57c
improved axioms_of: returns thms as the manual says;
wenzelm
parents:
721
diff
changeset
|
562 |
fun axioms_of thy = |
df8f91c0e57c
improved axioms_of: returns thms as the manual says;
wenzelm
parents:
721
diff
changeset
|
563 |
map (fn (s, _) => (s, get_axiom thy s)) |
16352 | 564 |
(Symtab.dest (#2 (#axioms (Theory.rep_theory thy)))); |
776
df8f91c0e57c
improved axioms_of: returns thms as the manual says;
wenzelm
parents:
721
diff
changeset
|
565 |
|
6089 | 566 |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
567 |
(* official name and additional tags *) |
6089 | 568 |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
569 |
fun get_name (Thm {hyps, prop, der = (_, prf), ...}) = |
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
570 |
Pt.get_name hyps prop prf; |
4018 | 571 |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
572 |
fun put_name name (Thm {thy_ref, der = (ora, prf), tags, maxidx, shyps, hyps, tpairs = [], prop}) = |
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
573 |
Thm {thy_ref = thy_ref, |
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
574 |
der = (ora, Pt.thm_proof (Theory.deref thy_ref) name hyps prop prf), |
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
575 |
tags = tags, maxidx = maxidx, shyps = shyps, hyps = hyps, tpairs = [], prop = prop} |
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
576 |
| put_name _ thm = raise THM ("name_thm: unsolved flex-flex constraints", 0, [thm]); |
6089 | 577 |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
578 |
val get_tags = #tags o rep_thm; |
6089 | 579 |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
580 |
fun map_tags f (Thm {thy_ref, der, tags, maxidx, shyps, hyps, tpairs, prop}) = |
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
581 |
Thm {thy_ref = thy_ref, der = der, tags = f tags, maxidx = maxidx, |
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
582 |
shyps = shyps, hyps = hyps, tpairs = tpairs, prop = prop}; |
0 | 583 |
|
584 |
||
1529 | 585 |
(*Compression of theorems -- a separate rule, not integrated with the others, |
586 |
as it could be slow.*) |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
587 |
fun compress (Thm {thy_ref, der, tags, maxidx, shyps, hyps, tpairs, prop}) = |
16991 | 588 |
let val thy = Theory.deref thy_ref in |
589 |
Thm {thy_ref = thy_ref, |
|
590 |
der = der, |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
591 |
tags = tags, |
16991 | 592 |
maxidx = maxidx, |
593 |
shyps = shyps, |
|
594 |
hyps = map (Compress.term thy) hyps, |
|
595 |
tpairs = map (pairself (Compress.term thy)) tpairs, |
|
596 |
prop = Compress.term thy prop} |
|
597 |
end; |
|
16945 | 598 |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
599 |
fun adjust_maxidx_thm i (th as Thm {thy_ref, der, tags, maxidx, shyps, hyps, tpairs, prop}) = |
20261 | 600 |
if maxidx = i then th |
601 |
else if maxidx < i then |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
602 |
Thm {maxidx = i, thy_ref = thy_ref, der = der, tags = tags, shyps = shyps, |
20261 | 603 |
hyps = hyps, tpairs = tpairs, prop = prop} |
604 |
else |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
605 |
Thm {maxidx = Int.max (maxidx_tpairs tpairs (maxidx_of_term prop), i), thy_ref = thy_ref, |
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
606 |
der = der, tags = tags, shyps = shyps, hyps = hyps, tpairs = tpairs, prop = prop}; |
564 | 607 |
|
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
608 |
|
2509 | 609 |
|
1529 | 610 |
(*** Meta rules ***) |
0 | 611 |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
612 |
(** primitive rules **) |
0 | 613 |
|
16656 | 614 |
(*The assumption rule A |- A*) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
615 |
fun assume raw_ct = |
20261 | 616 |
let val Cterm {thy_ref, t = prop, T, maxidx, sorts} = adjust_maxidx_cterm ~1 raw_ct in |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
617 |
if T <> propT then |
19230 | 618 |
raise THM ("assume: prop", 0, []) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
619 |
else if maxidx <> ~1 then |
19230 | 620 |
raise THM ("assume: variables", maxidx, []) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
621 |
else Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
622 |
der = Pt.infer_derivs' I (false, Pt.Hyp prop), |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
623 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
624 |
maxidx = ~1, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
625 |
shyps = sorts, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
626 |
hyps = [prop], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
627 |
tpairs = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
628 |
prop = prop} |
0 | 629 |
end; |
630 |
||
1220 | 631 |
(*Implication introduction |
3529 | 632 |
[A] |
633 |
: |
|
634 |
B |
|
1220 | 635 |
------- |
636 |
A ==> B |
|
637 |
*) |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
638 |
fun implies_intr |
16679 | 639 |
(ct as Cterm {t = A, T, maxidx = maxidxA, sorts, ...}) |
640 |
(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
|
641 |
if T <> propT then |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
642 |
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
|
643 |
else |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
644 |
Thm {thy_ref = merge_thys1 ct th, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
645 |
der = Pt.infer_derivs' (Pt.implies_intr_proof A) der, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
646 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
647 |
maxidx = Int.max (maxidxA, maxidx), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
648 |
shyps = Sorts.union sorts shyps, |
22365 | 649 |
hyps = OrdList.remove Term.fast_term_ord A hyps, |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
650 |
tpairs = tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
651 |
prop = implies $ A $ prop}; |
0 | 652 |
|
1529 | 653 |
|
1220 | 654 |
(*Implication elimination |
655 |
A ==> B A |
|
656 |
------------ |
|
657 |
B |
|
658 |
*) |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
659 |
fun implies_elim thAB thA = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
660 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
661 |
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
|
662 |
prop = propA, ...} = thA |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
663 |
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
|
664 |
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
|
665 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
666 |
case prop of |
20512 | 667 |
Const ("==>", _) $ A $ B => |
668 |
if A aconv propA then |
|
16656 | 669 |
Thm {thy_ref = merge_thys2 thAB thA, |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
670 |
der = Pt.infer_derivs (curry Pt.%%) der derA, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
671 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
672 |
maxidx = Int.max (maxA, maxidx), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
673 |
shyps = Sorts.union shypsA shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
674 |
hyps = union_hyps hypsA hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
675 |
tpairs = union_tpairs tpairsA tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
676 |
prop = B} |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
677 |
else err () |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
678 |
| _ => err () |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
679 |
end; |
250 | 680 |
|
1220 | 681 |
(*Forall introduction. The Free or Var x must not be free in the hypotheses. |
16656 | 682 |
[x] |
683 |
: |
|
684 |
A |
|
685 |
------ |
|
686 |
!!x. A |
|
1220 | 687 |
*) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
688 |
fun forall_intr |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
689 |
(ct as Cterm {t = x, T, sorts, ...}) |
16679 | 690 |
(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
|
691 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
692 |
fun result a = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
693 |
Thm {thy_ref = merge_thys1 ct th, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
694 |
der = Pt.infer_derivs' (Pt.forall_intr_proof x a) der, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
695 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
696 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
697 |
shyps = Sorts.union sorts shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
698 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
699 |
tpairs = tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
700 |
prop = all T $ Abs (a, T, abstract_over (x, prop))}; |
21798 | 701 |
fun check_occs a x ts = |
16847
8fc160b12e73
invoke_oracle: do not keep theory value, but theory_ref;
wenzelm
parents:
16725
diff
changeset
|
702 |
if exists (fn t => Logic.occs (x, t)) ts then |
21798 | 703 |
raise THM ("forall_intr: variable " ^ quote a ^ " free in assumptions", 0, [th]) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
704 |
else (); |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
705 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
706 |
case x of |
21798 | 707 |
Free (a, _) => (check_occs a x hyps; check_occs a x (terms_of_tpairs tpairs); result a) |
708 |
| Var ((a, _), _) => (check_occs a x (terms_of_tpairs tpairs); result a) |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
709 |
| _ => raise THM ("forall_intr: not a variable", 0, [th]) |
0 | 710 |
end; |
711 |
||
1220 | 712 |
(*Forall elimination |
16656 | 713 |
!!x. A |
1220 | 714 |
------ |
715 |
A[t/x] |
|
716 |
*) |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
717 |
fun forall_elim |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
718 |
(ct as Cterm {t, T, maxidx = maxt, sorts, ...}) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
719 |
(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
|
720 |
(case prop of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
721 |
Const ("all", Type ("fun", [Type ("fun", [qary, _]), _])) $ A => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
722 |
if T <> qary then |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
723 |
raise THM ("forall_elim: type mismatch", 0, [th]) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
724 |
else |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
725 |
Thm {thy_ref = merge_thys1 ct th, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
726 |
der = Pt.infer_derivs' (Pt.% o rpair (SOME t)) der, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
727 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
728 |
maxidx = Int.max (maxidx, maxt), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
729 |
shyps = Sorts.union sorts shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
730 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
731 |
tpairs = tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
732 |
prop = Term.betapply (A, t)} |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
733 |
| _ => raise THM ("forall_elim: not quantified", 0, [th])); |
0 | 734 |
|
735 |
||
1220 | 736 |
(* Equality *) |
0 | 737 |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
738 |
(*Reflexivity |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
739 |
t == t |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
740 |
*) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
741 |
fun reflexive (ct as Cterm {thy_ref, t, T, maxidx, sorts}) = |
16656 | 742 |
Thm {thy_ref = thy_ref, |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
743 |
der = Pt.infer_derivs' I (false, Pt.reflexive), |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
744 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
745 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
746 |
shyps = sorts, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
747 |
hyps = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
748 |
tpairs = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
749 |
prop = Logic.mk_equals (t, t)}; |
0 | 750 |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
751 |
(*Symmetry |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
752 |
t == u |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
753 |
------ |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
754 |
u == t |
1220 | 755 |
*) |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
756 |
fun symmetric (th as Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop, ...}) = |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
757 |
(case prop of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
758 |
(eq as Const ("==", Type (_, [T, _]))) $ t $ u => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
759 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
760 |
der = Pt.infer_derivs' Pt.symmetric der, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
761 |
tags = [], |
16601
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, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
788 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
789 |
maxidx = Int.max (max1, max2), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
790 |
shyps = Sorts.union shyps1 shyps2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
791 |
hyps = union_hyps hyps1 hyps2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
792 |
tpairs = union_tpairs tpairs1 tpairs2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
793 |
prop = eq $ t1 $ t2} |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
794 |
| _ => err "premises" |
0 | 795 |
end; |
796 |
||
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
797 |
(*Beta-conversion |
16656 | 798 |
(%x. t)(u) == t[u/x] |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
799 |
fully beta-reduces the term if full = true |
10416
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
800 |
*) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
801 |
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
|
802 |
let val t' = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
803 |
if full then Envir.beta_norm t |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
804 |
else |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
805 |
(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
|
806 |
| _ => raise THM ("beta_conversion: not a redex", 0, [])); |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
807 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
808 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
809 |
der = Pt.infer_derivs' I (false, Pt.reflexive), |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
810 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
811 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
812 |
shyps = sorts, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
813 |
hyps = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
814 |
tpairs = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
815 |
prop = Logic.mk_equals (t, t')} |
10416
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
816 |
end; |
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
817 |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
818 |
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
|
819 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
820 |
der = Pt.infer_derivs' I (false, Pt.reflexive), |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
821 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
822 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
823 |
shyps = sorts, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
824 |
hyps = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
825 |
tpairs = [], |
18944 | 826 |
prop = Logic.mk_equals (t, Envir.eta_contract t)}; |
0 | 827 |
|
828 |
(*The abstraction rule. The Free or Var x must not be free in the hypotheses. |
|
829 |
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
|
830 |
t == u |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
831 |
-------------- |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
832 |
%x. t == %x. u |
1220 | 833 |
*) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
834 |
fun abstract_rule a |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
835 |
(Cterm {t = x, T, sorts, ...}) |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
836 |
(th as Thm {thy_ref, der, maxidx, hyps, shyps, tpairs, prop, ...}) = |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
837 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
838 |
val (t, u) = Logic.dest_equals prop |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
839 |
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
|
840 |
val result = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
841 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
842 |
der = Pt.infer_derivs' (Pt.abstract_rule x a) der, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
843 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
844 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
845 |
shyps = Sorts.union sorts shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
846 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
847 |
tpairs = tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
848 |
prop = Logic.mk_equals |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
849 |
(Abs (a, T, abstract_over (x, t)), Abs (a, T, abstract_over (x, u)))}; |
21798 | 850 |
fun check_occs a x ts = |
16847
8fc160b12e73
invoke_oracle: do not keep theory value, but theory_ref;
wenzelm
parents:
16725
diff
changeset
|
851 |
if exists (fn t => Logic.occs (x, t)) ts then |
21798 | 852 |
raise THM ("abstract_rule: variable " ^ quote a ^ " free in assumptions", 0, [th]) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
853 |
else (); |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
854 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
855 |
case x of |
21798 | 856 |
Free (a, _) => (check_occs a x hyps; check_occs a x (terms_of_tpairs tpairs); result) |
857 |
| Var ((a, _), _) => (check_occs a x (terms_of_tpairs tpairs); result) |
|
858 |
| _ => raise THM ("abstract_rule: not a variable", 0, [th]) |
|
0 | 859 |
end; |
860 |
||
861 |
(*The combination rule |
|
3529 | 862 |
f == g t == u |
863 |
-------------- |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
864 |
f t == g u |
1220 | 865 |
*) |
0 | 866 |
fun combination th1 th2 = |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
867 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
868 |
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
|
869 |
prop = prop1, ...} = th1 |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
870 |
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
|
871 |
prop = prop2, ...} = th2; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
872 |
fun chktypes fT tT = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
873 |
(case fT of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
874 |
Type ("fun", [T1, T2]) => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
875 |
if T1 <> tT then |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
876 |
raise THM ("combination: types", 0, [th1, th2]) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
877 |
else () |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
878 |
| _ => 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
|
879 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
880 |
case (prop1, prop2) of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
881 |
(Const ("==", Type ("fun", [fT, _])) $ f $ g, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
882 |
Const ("==", Type ("fun", [tT, _])) $ t $ u) => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
883 |
(chktypes fT tT; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
884 |
Thm {thy_ref = merge_thys2 th1 th2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
885 |
der = Pt.infer_derivs (Pt.combination f g t u fT) der1 der2, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
886 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
887 |
maxidx = Int.max (max1, max2), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
888 |
shyps = Sorts.union shyps1 shyps2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
889 |
hyps = union_hyps hyps1 hyps2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
890 |
tpairs = union_tpairs tpairs1 tpairs2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
891 |
prop = Logic.mk_equals (f $ t, g $ u)}) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
892 |
| _ => raise THM ("combination: premises", 0, [th1, th2]) |
0 | 893 |
end; |
894 |
||
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
895 |
(*Equality introduction |
3529 | 896 |
A ==> B B ==> A |
897 |
---------------- |
|
898 |
A == B |
|
1220 | 899 |
*) |
0 | 900 |
fun equal_intr th1 th2 = |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
901 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
902 |
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
|
903 |
prop = prop1, ...} = th1 |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
904 |
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
|
905 |
prop = prop2, ...} = th2; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
906 |
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
|
907 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
908 |
case (prop1, prop2) of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
909 |
(Const("==>", _) $ A $ B, Const("==>", _) $ B' $ A') => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
910 |
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
|
911 |
Thm {thy_ref = merge_thys2 th1 th2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
912 |
der = Pt.infer_derivs (Pt.equal_intr A B) der1 der2, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
913 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
914 |
maxidx = Int.max (max1, max2), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
915 |
shyps = Sorts.union shyps1 shyps2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
916 |
hyps = union_hyps hyps1 hyps2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
917 |
tpairs = union_tpairs tpairs1 tpairs2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
918 |
prop = Logic.mk_equals (A, B)} |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
919 |
else err "not equal" |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
920 |
| _ => err "premises" |
1529 | 921 |
end; |
922 |
||
923 |
(*The equal propositions rule |
|
3529 | 924 |
A == B A |
1529 | 925 |
--------- |
926 |
B |
|
927 |
*) |
|
928 |
fun equal_elim th1 th2 = |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
929 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
930 |
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
|
931 |
tpairs = tpairs1, prop = prop1, ...} = th1 |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
932 |
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
|
933 |
tpairs = tpairs2, prop = prop2, ...} = th2; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
934 |
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
|
935 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
936 |
case prop1 of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
937 |
Const ("==", _) $ A $ B => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
938 |
if prop2 aconv A then |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
939 |
Thm {thy_ref = merge_thys2 th1 th2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
940 |
der = Pt.infer_derivs (Pt.equal_elim A B) der1 der2, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
941 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
942 |
maxidx = Int.max (max1, max2), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
943 |
shyps = Sorts.union shyps1 shyps2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
944 |
hyps = union_hyps hyps1 hyps2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
945 |
tpairs = union_tpairs tpairs1 tpairs2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
946 |
prop = B} |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
947 |
else err "not equal" |
1529 | 948 |
| _ => err"major premise" |
949 |
end; |
|
0 | 950 |
|
1220 | 951 |
|
952 |
||
0 | 953 |
(**** Derived rules ****) |
954 |
||
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
955 |
(*Smash unifies the list of term pairs leaving no flex-flex pairs. |
250 | 956 |
Instantiates the theorem and deletes trivial tpairs. |
0 | 957 |
Resulting sequence may contain multiple elements if the tpairs are |
958 |
not all flex-flex. *) |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
959 |
fun flexflex_rule (th as Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop, ...}) = |
19861 | 960 |
Unify.smash_unifiers (Theory.deref thy_ref) tpairs (Envir.empty maxidx) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
961 |
|> Seq.map (fn env => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
962 |
if Envir.is_empty env then th |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
963 |
else |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
964 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
965 |
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
|
966 |
(*remove trivial tpairs, of the form t==t*) |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
967 |
|> filter_out (op aconv); |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
968 |
val prop' = Envir.norm_term env prop; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
969 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
970 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
971 |
der = Pt.infer_derivs' (Pt.norm_proof' env) der, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
972 |
tags = [], |
16711 | 973 |
maxidx = maxidx_tpairs tpairs' (maxidx_of_term prop'), |
16656 | 974 |
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
|
975 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
976 |
tpairs = tpairs', |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
977 |
prop = prop'} |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
978 |
end); |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
979 |
|
0 | 980 |
|
19910 | 981 |
(*Generalization of fixed variables |
982 |
A |
|
983 |
-------------------- |
|
984 |
A[?'a/'a, ?x/x, ...] |
|
985 |
*) |
|
986 |
||
987 |
fun generalize ([], []) _ th = th |
|
988 |
| generalize (tfrees, frees) idx th = |
|
989 |
let |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
990 |
val Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop, ...} = th; |
19910 | 991 |
val _ = idx <= maxidx andalso raise THM ("generalize: bad index", idx, [th]); |
992 |
||
993 |
val bad_type = if null tfrees then K false else |
|
994 |
Term.exists_subtype (fn TFree (a, _) => member (op =) tfrees a | _ => false); |
|
995 |
fun bad_term (Free (x, T)) = bad_type T orelse member (op =) frees x |
|
996 |
| bad_term (Var (_, T)) = bad_type T |
|
997 |
| bad_term (Const (_, T)) = bad_type T |
|
998 |
| bad_term (Abs (_, T, t)) = bad_type T orelse bad_term t |
|
999 |
| bad_term (t $ u) = bad_term t orelse bad_term u |
|
1000 |
| bad_term (Bound _) = false; |
|
1001 |
val _ = exists bad_term hyps andalso |
|
1002 |
raise THM ("generalize: variable free in assumptions", 0, [th]); |
|
1003 |
||
20512 | 1004 |
val gen = TermSubst.generalize (tfrees, frees) idx; |
19910 | 1005 |
val prop' = gen prop; |
1006 |
val tpairs' = map (pairself gen) tpairs; |
|
1007 |
val maxidx' = maxidx_tpairs tpairs' (maxidx_of_term prop'); |
|
1008 |
in |
|
1009 |
Thm { |
|
1010 |
thy_ref = thy_ref, |
|
1011 |
der = Pt.infer_derivs' (Pt.generalize (tfrees, frees) idx) der, |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1012 |
tags = [], |
19910 | 1013 |
maxidx = maxidx', |
1014 |
shyps = shyps, |
|
1015 |
hyps = hyps, |
|
1016 |
tpairs = tpairs', |
|
1017 |
prop = prop'} |
|
1018 |
end; |
|
1019 |
||
1020 |
||
22584 | 1021 |
(*Instantiation of schematic variables |
16656 | 1022 |
A |
1023 |
-------------------- |
|
1024 |
A[t1/v1, ..., tn/vn] |
|
1220 | 1025 |
*) |
0 | 1026 |
|
6928 | 1027 |
local |
1028 |
||
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1029 |
fun pretty_typing thy t T = |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1030 |
Pretty.block [Sign.pretty_term thy t, Pretty.str " ::", Pretty.brk 1, Sign.pretty_typ thy T]; |
15797 | 1031 |
|
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1032 |
fun add_inst (ct, cu) (thy_ref, sorts) = |
6928 | 1033 |
let |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1034 |
val Cterm {t = t, T = T, ...} = ct |
20512 | 1035 |
and Cterm {t = u, T = U, sorts = sorts_u, maxidx = maxidx_u, ...} = cu; |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1036 |
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
|
1037 |
val sorts' = Sorts.union sorts_u sorts; |
3967
edd5ff9371f8
sg_ref: automatic adjustment of thms of draft theories;
wenzelm
parents:
3895
diff
changeset
|
1038 |
in |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1039 |
(case t of Var v => |
20512 | 1040 |
if T = U then ((v, (u, maxidx_u)), (thy_ref', sorts')) |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1041 |
else raise TYPE (Pretty.string_of (Pretty.block |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1042 |
[Pretty.str "instantiate: type conflict", |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1043 |
Pretty.fbrk, pretty_typing (Theory.deref thy_ref') t T, |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1044 |
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
|
1045 |
| _ => raise TYPE (Pretty.string_of (Pretty.block |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1046 |
[Pretty.str "instantiate: not a variable", |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1047 |
Pretty.fbrk, Sign.pretty_term (Theory.deref thy_ref') t]), [], [t])) |
0 | 1048 |
end; |
1049 |
||
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1050 |
fun add_instT (cT, cU) (thy_ref, sorts) = |
16656 | 1051 |
let |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1052 |
val Ctyp {T, thy_ref = thy_ref1, ...} = cT |
20512 | 1053 |
and Ctyp {T = U, thy_ref = thy_ref2, sorts = sorts_U, maxidx = maxidx_U, ...} = cU; |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1054 |
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
|
1055 |
val thy' = Theory.deref thy_ref'; |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1056 |
val sorts' = Sorts.union sorts_U sorts; |
16656 | 1057 |
in |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1058 |
(case T of TVar (v as (_, S)) => |
20512 | 1059 |
if Sign.of_sort thy' (U, S) then ((v, (U, maxidx_U)), (thy_ref', sorts')) |
16656 | 1060 |
else raise TYPE ("Type not of sort " ^ Sign.string_of_sort thy' S, [U], []) |
1061 |
| _ => raise TYPE (Pretty.string_of (Pretty.block |
|
15797 | 1062 |
[Pretty.str "instantiate: not a type variable", |
16656 | 1063 |
Pretty.fbrk, Sign.pretty_typ thy' T]), [T], [])) |
1064 |
end; |
|
0 | 1065 |
|
6928 | 1066 |
in |
1067 |
||
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1068 |
(*Left-to-right replacements: ctpairs = [..., (vi, ti), ...]. |
0 | 1069 |
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
|
1070 |
Does NOT normalize the resulting theorem!*) |
1529 | 1071 |
fun instantiate ([], []) th = th |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1072 |
| instantiate (instT, inst) th = |
16656 | 1073 |
let |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1074 |
val Thm {thy_ref, der, hyps, shyps, tpairs, prop, ...} = th; |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1075 |
val (inst', (instT', (thy_ref', shyps'))) = |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1076 |
(thy_ref, shyps) |> fold_map add_inst inst ||> fold_map add_instT instT; |
20512 | 1077 |
val subst = TermSubst.instantiate_maxidx (instT', inst'); |
1078 |
val (prop', maxidx1) = subst prop ~1; |
|
1079 |
val (tpairs', maxidx') = |
|
1080 |
fold_map (fn (t, u) => fn i => subst t i ||>> subst u) tpairs maxidx1; |
|
16656 | 1081 |
in |
20545
4c1068697159
instantiate: omit has_duplicates check, which is irrelevant for soundness;
wenzelm
parents:
20512
diff
changeset
|
1082 |
Thm {thy_ref = thy_ref', |
4c1068697159
instantiate: omit has_duplicates check, which is irrelevant for soundness;
wenzelm
parents:
20512
diff
changeset
|
1083 |
der = Pt.infer_derivs' (fn d => |
4c1068697159
instantiate: omit has_duplicates check, which is irrelevant for soundness;
wenzelm
parents:
20512
diff
changeset
|
1084 |
Pt.instantiate (map (apsnd #1) instT', map (apsnd #1) inst') d) der, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1085 |
tags = [], |
20545
4c1068697159
instantiate: omit has_duplicates check, which is irrelevant for soundness;
wenzelm
parents:
20512
diff
changeset
|
1086 |
maxidx = maxidx', |
4c1068697159
instantiate: omit has_duplicates check, which is irrelevant for soundness;
wenzelm
parents:
20512
diff
changeset
|
1087 |
shyps = shyps', |
4c1068697159
instantiate: omit has_duplicates check, which is irrelevant for soundness;
wenzelm
parents:
20512
diff
changeset
|
1088 |
hyps = hyps, |
4c1068697159
instantiate: omit has_duplicates check, which is irrelevant for soundness;
wenzelm
parents:
20512
diff
changeset
|
1089 |
tpairs = tpairs', |
4c1068697159
instantiate: omit has_duplicates check, which is irrelevant for soundness;
wenzelm
parents:
20512
diff
changeset
|
1090 |
prop = prop'} |
16656 | 1091 |
end |
1092 |
handle TYPE (msg, _, _) => raise THM (msg, 0, [th]); |
|
6928 | 1093 |
|
22584 | 1094 |
fun instantiate_cterm ([], []) ct = ct |
1095 |
| instantiate_cterm (instT, inst) ct = |
|
1096 |
let |
|
1097 |
val Cterm {thy_ref, t, T, sorts, ...} = ct; |
|
1098 |
val (inst', (instT', (thy_ref', sorts'))) = |
|
1099 |
(thy_ref, sorts) |> fold_map add_inst inst ||> fold_map add_instT instT; |
|
1100 |
val subst = TermSubst.instantiate_maxidx (instT', inst'); |
|
1101 |
val substT = TermSubst.instantiateT_maxidx instT'; |
|
1102 |
val (t', maxidx1) = subst t ~1; |
|
1103 |
val (T', maxidx') = substT T maxidx1; |
|
1104 |
in Cterm {thy_ref = thy_ref', t = t', T = T', sorts = sorts', maxidx = maxidx'} end |
|
1105 |
handle TYPE (msg, _, _) => raise CTERM (msg, [ct]); |
|
1106 |
||
6928 | 1107 |
end; |
1108 |
||
0 | 1109 |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1110 |
(*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
|
1111 |
A can contain Vars, not so for assume!*) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1112 |
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
|
1113 |
if T <> propT then |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1114 |
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
|
1115 |
else |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1116 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1117 |
der = Pt.infer_derivs' I (false, Pt.AbsP ("H", NONE, Pt.PBound 0)), |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1118 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1119 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1120 |
shyps = sorts, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1121 |
hyps = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1122 |
tpairs = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1123 |
prop = implies $ A $ A}; |
0 | 1124 |
|
1503 | 1125 |
(*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
|
1126 |
fun class_triv thy c = |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1127 |
let val Cterm {thy_ref, t, maxidx, sorts, ...} = |
19525 | 1128 |
cterm_of thy (Logic.mk_inclass (TVar (("'a", 0), [c]), Sign.certify_class thy c)) |
6368 | 1129 |
handle TERM (msg, _) => raise THM ("class_triv: " ^ msg, 0, []); |
399
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents:
387
diff
changeset
|
1130 |
in |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1131 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1132 |
der = Pt.infer_derivs' I (false, Pt.PAxm ("ProtoPure.class_triv:" ^ c, t, SOME [])), |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1133 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1134 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1135 |
shyps = sorts, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1136 |
hyps = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1137 |
tpairs = [], |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1138 |
prop = t} |
399
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents:
387
diff
changeset
|
1139 |
end; |
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents:
387
diff
changeset
|
1140 |
|
19505 | 1141 |
(*Internalize sort constraints of type variable*) |
1142 |
fun unconstrainT |
|
1143 |
(Ctyp {thy_ref = thy_ref1, T, ...}) |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1144 |
(th as Thm {thy_ref = thy_ref2, der, maxidx, shyps, hyps, tpairs, prop, ...}) = |
19505 | 1145 |
let |
1146 |
val ((x, i), S) = Term.dest_TVar T handle TYPE _ => |
|
1147 |
raise THM ("unconstrainT: not a type variable", 0, [th]); |
|
1148 |
val T' = TVar ((x, i), []); |
|
20548
8ef25fe585a8
renamed Term.map_term_types to Term.map_types (cf. Term.fold_types);
wenzelm
parents:
20545
diff
changeset
|
1149 |
val unconstrain = Term.map_types (Term.map_atyps (fn U => if U = T then T' else U)); |
19505 | 1150 |
val constraints = map (curry Logic.mk_inclass T') S; |
1151 |
in |
|
1152 |
Thm {thy_ref = Theory.merge_refs (thy_ref1, thy_ref2), |
|
1153 |
der = Pt.infer_derivs' I (false, Pt.PAxm ("ProtoPure.unconstrainT", prop, SOME [])), |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1154 |
tags = [], |
19505 | 1155 |
maxidx = Int.max (maxidx, i), |
1156 |
shyps = Sorts.remove_sort S shyps, |
|
1157 |
hyps = hyps, |
|
1158 |
tpairs = map (pairself unconstrain) tpairs, |
|
1159 |
prop = Logic.list_implies (constraints, unconstrain prop)} |
|
1160 |
end; |
|
399
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents:
387
diff
changeset
|
1161 |
|
6786 | 1162 |
(* Replace all TFrees not fixed or in the hyps by new TVars *) |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1163 |
fun varifyT' fixed (Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop, ...}) = |
12500 | 1164 |
let |
15797 | 1165 |
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
|
1166 |
val prop1 = attach_tpairs tpairs prop; |
21116 | 1167 |
val (al, prop2) = Type.varify tfrees prop1; |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1168 |
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
|
1169 |
in |
18127 | 1170 |
(al, Thm {thy_ref = thy_ref, |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1171 |
der = Pt.infer_derivs' (Pt.varify_proof prop tfrees) der, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1172 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1173 |
maxidx = Int.max (0, maxidx), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1174 |
shyps = shyps, |
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 = rev (map Logic.dest_equals ts), |
18127 | 1177 |
prop = prop3}) |
0 | 1178 |
end; |
1179 |
||
18127 | 1180 |
val varifyT = #2 o varifyT' []; |
6786 | 1181 |
|
0 | 1182 |
(* Replace all TVars by new TFrees *) |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1183 |
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
|
1184 |
let |
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1185 |
val prop1 = attach_tpairs tpairs prop; |
16287 | 1186 |
val prop2 = Type.freeze prop1; |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1187 |
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
|
1188 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1189 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1190 |
der = Pt.infer_derivs' (Pt.freezeT prop1) der, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1191 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1192 |
maxidx = maxidx_of_term prop2, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1193 |
shyps = shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1194 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1195 |
tpairs = rev (map Logic.dest_equals ts), |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1196 |
prop = prop3} |
1220 | 1197 |
end; |
0 | 1198 |
|
1199 |
||
1200 |
(*** Inference rules for tactics ***) |
|
1201 |
||
1202 |
(*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
|
1203 |
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
|
1204 |
(case Logic.strip_prems(i, [], prop) of |
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1205 |
(B::rBs, C) => (tpairs, rev rBs, B, C) |
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1206 |
| _ => raise THM("dest_state", i, [state])) |
0 | 1207 |
handle TERM _ => raise THM("dest_state", i, [state]); |
1208 |
||
309 | 1209 |
(*Increment variables and parameters of orule as required for |
18035 | 1210 |
resolution with a goal.*) |
1211 |
fun lift_rule goal orule = |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1212 |
let |
18035 | 1213 |
val Cterm {t = gprop, T, maxidx = gmax, sorts, ...} = goal; |
1214 |
val inc = gmax + 1; |
|
1215 |
val lift_abs = Logic.lift_abs inc gprop; |
|
1216 |
val lift_all = Logic.lift_all inc gprop; |
|
1217 |
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
|
1218 |
val (As, B) = Logic.strip_horn prop; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1219 |
in |
18035 | 1220 |
if T <> propT then raise THM ("lift_rule: the term must have type prop", 0, []) |
1221 |
else |
|
1222 |
Thm {thy_ref = merge_thys1 goal orule, |
|
1223 |
der = Pt.infer_derivs' (Pt.lift_proof gprop inc prop) der, |
|
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1224 |
tags = [], |
18035 | 1225 |
maxidx = maxidx + inc, |
1226 |
shyps = Sorts.union shyps sorts, (*sic!*) |
|
1227 |
hyps = hyps, |
|
1228 |
tpairs = map (pairself lift_abs) tpairs, |
|
1229 |
prop = Logic.list_implies (map lift_all As, lift_all B)} |
|
0 | 1230 |
end; |
1231 |
||
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1232 |
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
|
1233 |
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
|
1234 |
else if i = 0 then thm |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1235 |
else |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1236 |
Thm {thy_ref = thy_ref, |
16884
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1237 |
der = Pt.infer_derivs' |
1678a796b6b2
tuned instantiate (avoid subst_atomic, subst_atomic_types);
wenzelm
parents:
16847
diff
changeset
|
1238 |
(Pt.map_proof_terms (Logic.incr_indexes ([], i)) (Logic.incr_tvar i)) der, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1239 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1240 |
maxidx = maxidx + i, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1241 |
shyps = shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1242 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1243 |
tpairs = map (pairself (Logic.incr_indexes ([], i))) tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1244 |
prop = Logic.incr_indexes ([], i) prop}; |
10416
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
1245 |
|
0 | 1246 |
(*Solve subgoal Bi of proof state B1...Bn/C by assumption. *) |
1247 |
fun assumption i state = |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1248 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1249 |
val Thm {thy_ref, der, maxidx, shyps, hyps, prop, ...} = state; |
16656 | 1250 |
val thy = Theory.deref thy_ref; |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1251 |
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
|
1252 |
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
|
1253 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1254 |
der = Pt.infer_derivs' |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1255 |
((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
|
1256 |
Pt.assumption_proof Bs Bi n) der, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1257 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1258 |
maxidx = maxidx, |
16656 | 1259 |
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
|
1260 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1261 |
tpairs = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1262 |
if Envir.is_empty env then tpairs |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1263 |
else map (pairself (Envir.norm_term env)) tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1264 |
prop = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1265 |
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
|
1266 |
Logic.list_implies (Bs, C) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1267 |
else (*normalize the new rule fully*) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1268 |
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
|
1269 |
fun addprfs [] _ = Seq.empty |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1270 |
| 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
|
1271 |
(Seq.mapp (newth n) |
16656 | 1272 |
(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
|
1273 |
(addprfs apairs (n + 1)))) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1274 |
in addprfs (Logic.assum_pairs (~1, Bi)) 1 end; |
0 | 1275 |
|
250 | 1276 |
(*Solve subgoal Bi of proof state B1...Bn/C by assumption. |
0 | 1277 |
Checks if Bi's conclusion is alpha-convertible to one of its assumptions*) |
1278 |
fun eq_assumption i state = |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1279 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1280 |
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
|
1281 |
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
|
1282 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1283 |
(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
|
1284 |
~1 => raise THM ("eq_assumption", 0, [state]) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1285 |
| n => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1286 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1287 |
der = Pt.infer_derivs' (Pt.assumption_proof Bs Bi (n + 1)) der, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1288 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1289 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1290 |
shyps = shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1291 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1292 |
tpairs = tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1293 |
prop = Logic.list_implies (Bs, C)}) |
0 | 1294 |
end; |
1295 |
||
1296 |
||
2671 | 1297 |
(*For rotate_tac: fast rotation of assumptions of subgoal i*) |
1298 |
fun rotate_rule k i state = |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1299 |
let |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1300 |
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
|
1301 |
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
|
1302 |
val params = Term.strip_all_vars Bi |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1303 |
and rest = Term.strip_all_body Bi; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1304 |
val asms = Logic.strip_imp_prems rest |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1305 |
and concl = Logic.strip_imp_concl rest; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1306 |
val n = length asms; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1307 |
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
|
1308 |
val Bi' = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1309 |
if 0 = m orelse m = n then Bi |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1310 |
else if 0 < m andalso m < n then |
19012 | 1311 |
let val (ps, qs) = chop m asms |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1312 |
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
|
1313 |
else raise THM ("rotate_rule", k, [state]); |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1314 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1315 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1316 |
der = Pt.infer_derivs' (Pt.rotate_proof Bs Bi m) der, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1317 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1318 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1319 |
shyps = shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1320 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1321 |
tpairs = tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1322 |
prop = Logic.list_implies (Bs @ [Bi'], C)} |
2671 | 1323 |
end; |
1324 |
||
1325 |
||
7248
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
7070
diff
changeset
|
1326 |
(*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
|
1327 |
unchanged. Does nothing if k=0 or if k equals n-j, where n is the |
16656 | 1328 |
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
|
1329 |
fun permute_prems j k rl = |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1330 |
let |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1331 |
val Thm {thy_ref, der, maxidx, shyps, hyps, tpairs, prop, ...} = rl; |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1332 |
val prems = Logic.strip_imp_prems prop |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1333 |
and concl = Logic.strip_imp_concl prop; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1334 |
val moved_prems = List.drop (prems, j) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1335 |
and fixed_prems = List.take (prems, j) |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1336 |
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
|
1337 |
val n_j = length moved_prems; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1338 |
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
|
1339 |
val prop' = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1340 |
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
|
1341 |
else if 0 < m andalso m < n_j then |
19012 | 1342 |
let val (ps, qs) = chop m moved_prems |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1343 |
in Logic.list_implies (fixed_prems @ qs @ ps, concl) end |
16725 | 1344 |
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
|
1345 |
in |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1346 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1347 |
der = Pt.infer_derivs' (Pt.permute_prems_prf prems j m) der, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1348 |
tags = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1349 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1350 |
shyps = shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1351 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1352 |
tpairs = tpairs, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1353 |
prop = prop'} |
7248
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
7070
diff
changeset
|
1354 |
end; |
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
7070
diff
changeset
|
1355 |
|
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
7070
diff
changeset
|
1356 |
|
0 | 1357 |
(** User renaming of parameters in a subgoal **) |
1358 |
||
1359 |
(*Calls error rather than raising an exception because it is intended |
|
1360 |
for top-level use -- exception handling would not make sense here. |
|
1361 |
The names in cs, if distinct, are used for the innermost parameters; |
|
17868 | 1362 |
preceding parameters may be renamed to make all params distinct.*) |
0 | 1363 |
fun rename_params_rule (cs, i) state = |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1364 |
let |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1365 |
val Thm {thy_ref, der, tags, maxidx, shyps, hyps, ...} = state; |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1366 |
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
|
1367 |
val iparams = map #1 (Logic.strip_params Bi); |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1368 |
val short = length iparams - length cs; |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1369 |
val newnames = |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1370 |
if short < 0 then error "More names than abstractions!" |
20071
8f3e1ddb50e6
replaced Term.variant(list) by Name.variant(_list);
wenzelm
parents:
20057
diff
changeset
|
1371 |
else Name.variant_list cs (Library.take (short, iparams)) @ cs; |
20330 | 1372 |
val freenames = Term.fold_aterms (fn Free (x, _) => insert (op =) x | _ => I) Bi []; |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1373 |
val newBi = Logic.list_rename_params (newnames, Bi); |
250 | 1374 |
in |
21182 | 1375 |
(case duplicates (op =) cs of |
1376 |
a :: _ => (warning ("Can't rename. Bound variables not distinct: " ^ a); state) |
|
1377 |
| [] => |
|
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1378 |
(case cs inter_string freenames of |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1379 |
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
|
1380 |
| [] => |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1381 |
Thm {thy_ref = thy_ref, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1382 |
der = der, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1383 |
tags = tags, |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1384 |
maxidx = maxidx, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1385 |
shyps = shyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1386 |
hyps = hyps, |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1387 |
tpairs = tpairs, |
21182 | 1388 |
prop = Logic.list_implies (Bs @ [newBi], C)})) |
0 | 1389 |
end; |
1390 |
||
12982 | 1391 |
|
0 | 1392 |
(*** Preservation of bound variable names ***) |
1393 |
||
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1394 |
fun rename_boundvars pat obj (thm as Thm {thy_ref, der, tags, maxidx, shyps, hyps, tpairs, prop}) = |
12982 | 1395 |
(case Term.rename_abs pat obj prop of |
15531 | 1396 |
NONE => thm |
1397 |
| SOME prop' => Thm |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1398 |
{thy_ref = thy_ref, |
12982 | 1399 |
der = der, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1400 |
tags = tags, |
12982 | 1401 |
maxidx = maxidx, |
1402 |
hyps = hyps, |
|
1403 |
shyps = shyps, |
|
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1404 |
tpairs = tpairs, |
12982 | 1405 |
prop = prop'}); |
10416
5b33e732e459
- Moved rewriting functions to meta_simplifier.ML
berghofe
parents:
10348
diff
changeset
|
1406 |
|
0 | 1407 |
|
16656 | 1408 |
(* strip_apply f (A, B) strips off all assumptions/parameters from A |
0 | 1409 |
introduced by lifting over B, and applies f to remaining part of A*) |
1410 |
fun strip_apply f = |
|
1411 |
let fun strip(Const("==>",_)$ A1 $ B1, |
|
250 | 1412 |
Const("==>",_)$ _ $ B2) = implies $ A1 $ strip(B1,B2) |
1413 |
| strip((c as Const("all",_)) $ Abs(a,T,t1), |
|
1414 |
Const("all",_) $ Abs(_,_,t2)) = c$Abs(a,T,strip(t1,t2)) |
|
1415 |
| strip(A,_) = f A |
|
0 | 1416 |
in strip end; |
1417 |
||
1418 |
(*Use the alist to rename all bound variables and some unknowns in a term |
|
1419 |
dpairs = current disagreement pairs; tpairs = permanent ones (flexflex); |
|
1420 |
Preserves unknowns in tpairs and on lhs of dpairs. *) |
|
1421 |
fun rename_bvs([],_,_,_) = I |
|
1422 |
| rename_bvs(al,dpairs,tpairs,B) = |
|
20330 | 1423 |
let |
1424 |
val add_var = fold_aterms (fn Var ((x, _), _) => insert (op =) x | _ => I); |
|
1425 |
val vids = [] |
|
1426 |
|> fold (add_var o fst) dpairs |
|
1427 |
|> fold (add_var o fst) tpairs |
|
1428 |
|> fold (add_var o snd) tpairs; |
|
250 | 1429 |
(*unknowns appearing elsewhere be preserved!*) |
1430 |
fun rename(t as Var((x,i),T)) = |
|
20330 | 1431 |
(case AList.lookup (op =) al x of |
1432 |
SOME y => |
|
1433 |
if member (op =) vids x orelse member (op =) vids y then t |
|
1434 |
else Var((y,i),T) |
|
1435 |
| NONE=> t) |
|
0 | 1436 |
| rename(Abs(x,T,t)) = |
18944 | 1437 |
Abs (the_default x (AList.lookup (op =) al x), T, rename t) |
0 | 1438 |
| rename(f$t) = rename f $ rename t |
1439 |
| rename(t) = t; |
|
250 | 1440 |
fun strip_ren Ai = strip_apply rename (Ai,B) |
20330 | 1441 |
in strip_ren end; |
0 | 1442 |
|
1443 |
(*Function to rename bounds/unknowns in the argument, lifted over B*) |
|
1444 |
fun rename_bvars(dpairs, tpairs, B) = |
|
15574
b1d1b5bfc464
Removed practically all references to Library.foldr.
skalberg
parents:
15570
diff
changeset
|
1445 |
rename_bvs(foldr Term.match_bvars [] dpairs, dpairs, tpairs, B); |
0 | 1446 |
|
1447 |
||
1448 |
(*** RESOLUTION ***) |
|
1449 |
||
721
479832ff2d29
Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents:
678
diff
changeset
|
1450 |
(** Lifting optimizations **) |
479832ff2d29
Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents:
678
diff
changeset
|
1451 |
|
0 | 1452 |
(*strip off pairs of assumptions/parameters in parallel -- they are |
1453 |
identical because of lifting*) |
|
250 | 1454 |
fun strip_assums2 (Const("==>", _) $ _ $ B1, |
1455 |
Const("==>", _) $ _ $ B2) = strip_assums2 (B1,B2) |
|
0 | 1456 |
| strip_assums2 (Const("all",_)$Abs(a,T,t1), |
250 | 1457 |
Const("all",_)$Abs(_,_,t2)) = |
0 | 1458 |
let val (B1,B2) = strip_assums2 (t1,t2) |
1459 |
in (Abs(a,T,B1), Abs(a,T,B2)) end |
|
1460 |
| strip_assums2 BB = BB; |
|
1461 |
||
1462 |
||
721
479832ff2d29
Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents:
678
diff
changeset
|
1463 |
(*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
|
1464 |
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
|
1465 |
| 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
|
1466 |
let val Envir.Envir{iTs, ...} = env |
15797 | 1467 |
val T' = Envir.typ_subst_TVars iTs T |
1238 | 1468 |
(*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
|
1469 |
this could be a NEW parameter*) |
479832ff2d29
Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents:
678
diff
changeset
|
1470 |
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
|
1471 |
| norm_term_skip env n (Const("==>", _) $ A $ B) = |
1238 | 1472 |
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
|
1473 |
| 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
|
1474 |
|
479832ff2d29
Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents:
678
diff
changeset
|
1475 |
|
0 | 1476 |
(*Composition of object rule r=(A1...Am/B) with proof state s=(B1...Bn/C) |
250 | 1477 |
Unifies B with Bi, replacing subgoal i (1 <= i <= n) |
0 | 1478 |
If match then forbid instantiations in proof state |
1479 |
If lifted then shorten the dpair using strip_assums2. |
|
1480 |
If eres_flg then simultaneously proves A1 by assumption. |
|
250 | 1481 |
nsubgoal is the number of new subgoals (written m above). |
0 | 1482 |
Curried so that resolution calls dest_state only once. |
1483 |
*) |
|
4270 | 1484 |
local exception COMPOSE |
0 | 1485 |
in |
18486 | 1486 |
fun bicompose_aux flatten match (state, (stpairs, Bs, Bi, C), lifted) |
0 | 1487 |
(eres_flg, orule, nsubgoal) = |
1529 | 1488 |
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
|
1489 |
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
|
1490 |
tpairs=rtpairs, prop=rprop,...} = orule |
1529 | 1491 |
(*How many hyps to skip over during normalization*) |
21576 | 1492 |
and nlift = Logic.count_prems (strip_all_body Bi) + (if eres_flg then ~1 else 0) |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1493 |
val thy_ref = merge_thys2 state orule; |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1494 |
val thy = Theory.deref thy_ref; |
0 | 1495 |
(** Add new theorem with prop = '[| Bs; As |] ==> C' to thq **) |
11518 | 1496 |
fun addth A (As, oldAs, rder', n) ((env as Envir.Envir {maxidx, ...}, tpairs), thq) = |
250 | 1497 |
let val normt = Envir.norm_term env; |
1498 |
(*perform minimal copying here by examining env*) |
|
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1499 |
val (ntpairs, normp) = |
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1500 |
if Envir.is_empty env then (tpairs, (Bs @ As, C)) |
250 | 1501 |
else |
1502 |
let val ntps = map (pairself normt) tpairs |
|
19861 | 1503 |
in if Envir.above env smax then |
1238 | 1504 |
(*no assignments in state; normalize the rule only*) |
1505 |
if lifted |
|
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1506 |
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
|
1507 |
else (ntps, (Bs @ map normt As, C)) |
1529 | 1508 |
else if match then raise COMPOSE |
250 | 1509 |
else (*normalize the new rule fully*) |
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1510 |
(ntps, (map normt (Bs @ As), normt C)) |
250 | 1511 |
end |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1512 |
val th = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1513 |
Thm{thy_ref = thy_ref, |
11518 | 1514 |
der = Pt.infer_derivs |
1515 |
((if Envir.is_empty env then I |
|
19861 | 1516 |
else if Envir.above env smax then |
11518 | 1517 |
(fn f => fn der => f (Pt.norm_proof' env der)) |
1518 |
else |
|
1519 |
curry op oo (Pt.norm_proof' env)) |
|
18486 | 1520 |
(Pt.bicompose_proof flatten Bs oldAs As A n)) rder' sder, |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1521 |
tags = [], |
2386 | 1522 |
maxidx = maxidx, |
16656 | 1523 |
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
|
1524 |
hyps = union_hyps rhyps shyps, |
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1525 |
tpairs = ntpairs, |
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1526 |
prop = Logic.list_implies normp} |
19475 | 1527 |
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
|
1528 |
val (rAs,B) = Logic.strip_prems(nsubgoal, [], rprop) |
0 | 1529 |
handle TERM _ => raise THM("bicompose: rule", 0, [orule,state]); |
1530 |
(*Modify assumptions, deleting n-th if n>0 for e-resolution*) |
|
1531 |
fun newAs(As0, n, dpairs, tpairs) = |
|
11518 | 1532 |
let val (As1, rder') = |
1533 |
if !Logic.auto_rename orelse not lifted then (As0, rder) |
|
1534 |
else (map (rename_bvars(dpairs,tpairs,B)) As0, |
|
1535 |
Pt.infer_derivs' (Pt.map_proof_terms |
|
1536 |
(rename_bvars (dpairs, tpairs, Bound 0)) I) rder); |
|
18486 | 1537 |
in (map (if flatten then (Logic.flatten_params n) else I) As1, As1, rder', n) |
250 | 1538 |
handle TERM _ => |
1539 |
raise THM("bicompose: 1st premise", 0, [orule]) |
|
0 | 1540 |
end; |
2147 | 1541 |
val env = Envir.empty(Int.max(rmax,smax)); |
0 | 1542 |
val BBi = if lifted then strip_assums2(B,Bi) else (B,Bi); |
1543 |
val dpairs = BBi :: (rtpairs@stpairs); |
|
1544 |
(*elim-resolution: try each assumption in turn. Initially n=1*) |
|
11518 | 1545 |
fun tryasms (_, _, _, []) = Seq.empty |
1546 |
| tryasms (A, As, n, (t,u)::apairs) = |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1547 |
(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
|
1548 |
NONE => tryasms (A, As, n+1, apairs) |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1549 |
| cell as SOME((_,tpairs),_) => |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1550 |
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
|
1551 |
(Seq.make(fn()=> cell), |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1552 |
Seq.make(fn()=> Seq.pull (tryasms(A, As, n+1, apairs))))) |
0 | 1553 |
fun eres [] = raise THM("bicompose: no premises", 0, [orule,state]) |
15531 | 1554 |
| eres (A1::As) = tryasms(SOME A1, As, 1, Logic.assum_pairs(nlift+1,A1)) |
0 | 1555 |
(*ordinary resolution*) |
15531 | 1556 |
fun res(NONE) = Seq.empty |
1557 |
| res(cell as SOME((_,tpairs),_)) = |
|
1558 |
Seq.it_right (addth NONE (newAs(rev rAs, 0, [BBi], tpairs))) |
|
4270 | 1559 |
(Seq.make (fn()=> cell), Seq.empty) |
0 | 1560 |
in if eres_flg then eres(rev rAs) |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1561 |
else res(Seq.pull(Unify.unifiers(thy, env, dpairs))) |
0 | 1562 |
end; |
7528 | 1563 |
end; |
0 | 1564 |
|
18501
915105af2e80
turned bicompose_no_flatten into compose_no_flatten, without elimination;
wenzelm
parents:
18486
diff
changeset
|
1565 |
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
|
1566 |
bicompose_aux false match (state, dest_state (state, i), false) (false, orule, nsubgoal); |
0 | 1567 |
|
18501
915105af2e80
turned bicompose_no_flatten into compose_no_flatten, without elimination;
wenzelm
parents:
18486
diff
changeset
|
1568 |
fun bicompose match arg i state = |
915105af2e80
turned bicompose_no_flatten into compose_no_flatten, without elimination;
wenzelm
parents:
18486
diff
changeset
|
1569 |
bicompose_aux true match (state, dest_state (state,i), false) arg; |
0 | 1570 |
|
1571 |
(*Quick test whether rule is resolvable with the subgoal with hyps Hs |
|
1572 |
and conclusion B. If eres_flg then checks 1st premise of rule also*) |
|
1573 |
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
|
1574 |
let fun could_reshyp (A1::_) = exists (fn H => could_unify (A1, H)) Hs |
250 | 1575 |
| could_reshyp [] = false; (*no premise -- illegal*) |
1576 |
in could_unify(concl_of rule, B) andalso |
|
1577 |
(not eres_flg orelse could_reshyp (prems_of rule)) |
|
0 | 1578 |
end; |
1579 |
||
1580 |
(*Bi-resolution of a state with a list of (flag,rule) pairs. |
|
1581 |
Puts the rule above: rule/state. Renames vars in the rules. *) |
|
250 | 1582 |
fun biresolution match brules i state = |
18035 | 1583 |
let val (stpairs, Bs, Bi, C) = dest_state(state,i); |
18145 | 1584 |
val lift = lift_rule (cprem_of state i); |
250 | 1585 |
val B = Logic.strip_assums_concl Bi; |
1586 |
val Hs = Logic.strip_assums_hyp Bi; |
|
22573 | 1587 |
val compose = bicompose_aux true match (state, (stpairs, Bs, Bi, C), true); |
4270 | 1588 |
fun res [] = Seq.empty |
250 | 1589 |
| res ((eres_flg, rule)::brules) = |
13642
a3d97348ceb6
added failure trace information to pattern unification
nipkow
parents:
13629
diff
changeset
|
1590 |
if !Pattern.trace_unify_fail orelse |
a3d97348ceb6
added failure trace information to pattern unification
nipkow
parents:
13629
diff
changeset
|
1591 |
could_bires (Hs, B, eres_flg, rule) |
4270 | 1592 |
then Seq.make (*delay processing remainder till needed*) |
22573 | 1593 |
(fn()=> SOME(compose (eres_flg, lift rule, nprems_of rule), |
250 | 1594 |
res brules)) |
1595 |
else res brules |
|
4270 | 1596 |
in Seq.flat (res brules) end; |
0 | 1597 |
|
1598 |
||
2509 | 1599 |
(*** Oracles ***) |
1600 |
||
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1601 |
fun invoke_oracle_i thy1 name = |
3812 | 1602 |
let |
1603 |
val oracle = |
|
17412 | 1604 |
(case Symtab.lookup (#2 (#oracles (Theory.rep_theory thy1))) name of |
15531 | 1605 |
NONE => raise THM ("Unknown oracle: " ^ name, 0, []) |
1606 |
| SOME (f, _) => f); |
|
16847
8fc160b12e73
invoke_oracle: do not keep theory value, but theory_ref;
wenzelm
parents:
16725
diff
changeset
|
1607 |
val thy_ref1 = Theory.self_ref thy1; |
3812 | 1608 |
in |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1609 |
fn (thy2, data) => |
3812 | 1610 |
let |
16847
8fc160b12e73
invoke_oracle: do not keep theory value, but theory_ref;
wenzelm
parents:
16725
diff
changeset
|
1611 |
val thy' = Theory.merge (Theory.deref thy_ref1, thy2); |
18969 | 1612 |
val (prop, T, maxidx) = Sign.certify_term thy' (oracle (thy', data)); |
3812 | 1613 |
in |
1614 |
if T <> propT then |
|
1615 |
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
|
1616 |
else |
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1617 |
Thm {thy_ref = Theory.self_ref thy', |
11518 | 1618 |
der = (true, Pt.oracle_proof name prop), |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21576
diff
changeset
|
1619 |
tags = [], |
3812 | 1620 |
maxidx = maxidx, |
16656 | 1621 |
shyps = may_insert_term_sorts thy' prop [], |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1622 |
hyps = [], |
13658
c9ad3e64ddcf
Changed handling of flex-flex constraints: now stored in separate
berghofe
parents:
13642
diff
changeset
|
1623 |
tpairs = [], |
16601
ee8eefade568
more efficient treatment of shyps and hyps (use ordered lists);
wenzelm
parents:
16425
diff
changeset
|
1624 |
prop = prop} |
3812 | 1625 |
end |
1626 |
end; |
|
1627 |
||
15672 | 1628 |
fun invoke_oracle thy = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
16352
diff
changeset
|
1629 |
invoke_oracle_i thy o NameSpace.intern (Theory.oracle_space thy); |
15672 | 1630 |
|
22237
bb9b1c8a8a95
old-fashioned abstype ctyp/cterm/thm prevents accidental equality tests;
wenzelm
parents:
21975
diff
changeset
|
1631 |
|
bb9b1c8a8a95
old-fashioned abstype ctyp/cterm/thm prevents accidental equality tests;
wenzelm
parents:
21975
diff
changeset
|
1632 |
end; |
bb9b1c8a8a95
old-fashioned abstype ctyp/cterm/thm prevents accidental equality tests;
wenzelm
parents:
21975
diff
changeset
|
1633 |
end; |
bb9b1c8a8a95
old-fashioned abstype ctyp/cterm/thm prevents accidental equality tests;
wenzelm
parents:
21975
diff
changeset
|
1634 |
end; |
0 | 1635 |
end; |
1503 | 1636 |
|
6089 | 1637 |
structure BasicThm: BASIC_THM = Thm; |
1638 |
open BasicThm; |