author | paulson |
Thu, 08 Feb 2007 18:14:13 +0100 | |
changeset 22287 | 9985a79735c7 |
parent 22109 | 9188aed2c3ca |
child 22307 | bb31094b4879 |
permissions | -rw-r--r-- |
252
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1 |
(* Title: Pure/drule.ML |
0 | 2 |
ID: $Id$ |
252
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3 |
Author: Lawrence C Paulson, Cambridge University Computer Laboratory |
0 | 4 |
Copyright 1993 University of Cambridge |
5 |
||
3766 | 6 |
Derived rules and other operations on theorems. |
0 | 7 |
*) |
8 |
||
21578 | 9 |
infix 0 RS RSN RL RLN MRS MRL OF COMP INCR_COMP COMP_INCR; |
0 | 10 |
|
5903 | 11 |
signature BASIC_DRULE = |
3766 | 12 |
sig |
18179 | 13 |
val mk_implies: cterm * cterm -> cterm |
14 |
val list_implies: cterm list * cterm -> cterm |
|
15 |
val dest_implies: cterm -> cterm * cterm |
|
16 |
val dest_equals: cterm -> cterm * cterm |
|
20904 | 17 |
val dest_equals_lhs: cterm -> cterm |
20669 | 18 |
val dest_equals_rhs: cterm -> cterm |
18179 | 19 |
val strip_imp_prems: cterm -> cterm list |
20 |
val strip_imp_concl: cterm -> cterm |
|
21 |
val cprems_of: thm -> cterm list |
|
22 |
val cterm_fun: (term -> term) -> (cterm -> cterm) |
|
23 |
val ctyp_fun: (typ -> typ) -> (ctyp -> ctyp) |
|
18206 | 24 |
val read_insts: theory -> (indexname -> typ option) * (indexname -> sort option) -> |
25 |
(indexname -> typ option) * (indexname -> sort option) -> string list -> |
|
26 |
(indexname * string) list -> (ctyp * ctyp) list * (cterm * cterm) list |
|
4285 | 27 |
val types_sorts: thm -> (indexname-> typ option) * (indexname-> sort option) |
18179 | 28 |
val forall_intr_list: cterm list -> thm -> thm |
29 |
val forall_intr_frees: thm -> thm |
|
30 |
val forall_intr_vars: thm -> thm |
|
31 |
val forall_elim_list: cterm list -> thm -> thm |
|
32 |
val forall_elim_var: int -> thm -> thm |
|
33 |
val forall_elim_vars: int -> thm -> thm |
|
34 |
val gen_all: thm -> thm |
|
35 |
val lift_all: cterm -> thm -> thm |
|
36 |
val freeze_thaw: thm -> thm * (thm -> thm) |
|
15495
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37 |
val freeze_thaw_robust: thm -> thm * (int -> thm -> thm) |
18179 | 38 |
val implies_elim_list: thm -> thm list -> thm |
39 |
val implies_intr_list: cterm list -> thm -> thm |
|
18206 | 40 |
val instantiate: (ctyp * ctyp) list * (cterm * cterm) list -> thm -> thm |
21603 | 41 |
val zero_var_indexes_list: thm list -> thm list |
18179 | 42 |
val zero_var_indexes: thm -> thm |
43 |
val implies_intr_hyps: thm -> thm |
|
44 |
val standard: thm -> thm |
|
45 |
val standard': thm -> thm |
|
46 |
val rotate_prems: int -> thm -> thm |
|
47 |
val rearrange_prems: int list -> thm -> thm |
|
48 |
val RSN: thm * (int * thm) -> thm |
|
49 |
val RS: thm * thm -> thm |
|
50 |
val RLN: thm list * (int * thm list) -> thm list |
|
51 |
val RL: thm list * thm list -> thm list |
|
52 |
val MRS: thm list * thm -> thm |
|
53 |
val MRL: thm list list * thm list -> thm list |
|
54 |
val OF: thm * thm list -> thm |
|
55 |
val compose: thm * int * thm -> thm list |
|
56 |
val COMP: thm * thm -> thm |
|
21578 | 57 |
val INCR_COMP: thm * thm -> thm |
58 |
val COMP_INCR: thm * thm -> thm |
|
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59 |
val read_instantiate_sg: theory -> (string*string)list -> thm -> thm |
18179 | 60 |
val read_instantiate: (string*string)list -> thm -> thm |
61 |
val cterm_instantiate: (cterm*cterm)list -> thm -> thm |
|
62 |
val eq_thm_thy: thm * thm -> bool |
|
63 |
val eq_thm_prop: thm * thm -> bool |
|
19878 | 64 |
val equiv_thm: thm * thm -> bool |
18179 | 65 |
val size_of_thm: thm -> int |
66 |
val reflexive_thm: thm |
|
67 |
val symmetric_thm: thm |
|
68 |
val transitive_thm: thm |
|
69 |
val symmetric_fun: thm -> thm |
|
70 |
val extensional: thm -> thm |
|
18820 | 71 |
val equals_cong: thm |
18179 | 72 |
val imp_cong: thm |
73 |
val swap_prems_eq: thm |
|
74 |
val asm_rl: thm |
|
75 |
val cut_rl: thm |
|
76 |
val revcut_rl: thm |
|
77 |
val thin_rl: thm |
|
4285 | 78 |
val triv_forall_equality: thm |
19051 | 79 |
val distinct_prems_rl: thm |
18179 | 80 |
val swap_prems_rl: thm |
81 |
val equal_intr_rule: thm |
|
82 |
val equal_elim_rule1: thm |
|
19421 | 83 |
val equal_elim_rule2: thm |
18179 | 84 |
val instantiate': ctyp option list -> cterm option list -> thm -> thm |
5903 | 85 |
end; |
86 |
||
87 |
signature DRULE = |
|
88 |
sig |
|
89 |
include BASIC_DRULE |
|
19999 | 90 |
val generalize: string list * string list -> thm -> thm |
15949 | 91 |
val list_comb: cterm * cterm list -> cterm |
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|
92 |
val strip_comb: cterm -> cterm * cterm list |
15262 | 93 |
val strip_type: ctyp -> ctyp list * ctyp |
20904 | 94 |
val lhs_of: thm -> cterm |
95 |
val rhs_of: thm -> cterm |
|
15949 | 96 |
val beta_conv: cterm -> cterm -> cterm |
15875 | 97 |
val plain_prop_of: thm -> term |
20298 | 98 |
val fold_terms: (term -> 'a -> 'a) -> thm -> 'a -> 'a |
15669 | 99 |
val add_used: thm -> string list -> string list |
17713 | 100 |
val flexflex_unique: thm -> thm |
11975 | 101 |
val close_derivation: thm -> thm |
19421 | 102 |
val store_thm: bstring -> thm -> thm |
103 |
val store_standard_thm: bstring -> thm -> thm |
|
104 |
val store_thm_open: bstring -> thm -> thm |
|
105 |
val store_standard_thm_open: bstring -> thm -> thm |
|
11975 | 106 |
val compose_single: thm * int * thm -> thm |
12373 | 107 |
val add_rule: thm -> thm list -> thm list |
108 |
val del_rule: thm -> thm list -> thm list |
|
11975 | 109 |
val merge_rules: thm list * thm list -> thm list |
18468 | 110 |
val imp_cong_rule: thm -> thm -> thm |
15001
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
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parents:
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|
111 |
val beta_eta_conversion: cterm -> thm |
15925 | 112 |
val eta_long_conversion: cterm -> thm |
20861 | 113 |
val eta_contraction_rule: thm -> thm |
18468 | 114 |
val forall_conv: int -> (cterm -> thm) -> cterm -> thm |
115 |
val concl_conv: int -> (cterm -> thm) -> cterm -> thm |
|
116 |
val prems_conv: int -> (int -> cterm -> thm) -> cterm -> thm |
|
18179 | 117 |
val goals_conv: (int -> bool) -> (cterm -> thm) -> cterm -> thm |
118 |
val fconv_rule: (cterm -> thm) -> thm -> thm |
|
11975 | 119 |
val norm_hhf_eq: thm |
12800 | 120 |
val is_norm_hhf: term -> bool |
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121 |
val norm_hhf: theory -> term -> term |
20298 | 122 |
val norm_hhf_cterm: cterm -> cterm |
19878 | 123 |
val unvarify: thm -> thm |
18025 | 124 |
val protect: cterm -> cterm |
125 |
val protectI: thm |
|
126 |
val protectD: thm |
|
18179 | 127 |
val protect_cong: thm |
18025 | 128 |
val implies_intr_protected: cterm list -> thm -> thm |
19775 | 129 |
val termI: thm |
130 |
val mk_term: cterm -> thm |
|
131 |
val dest_term: thm -> cterm |
|
21519 | 132 |
val cterm_rule: (thm -> thm) -> cterm -> cterm |
20881 | 133 |
val term_rule: theory -> (thm -> thm) -> term -> term |
19523 | 134 |
val sort_triv: theory -> typ * sort -> thm list |
19504 | 135 |
val unconstrainTs: thm -> thm |
14081 | 136 |
val rename_bvars: (string * string) list -> thm -> thm |
137 |
val rename_bvars': string option list -> thm -> thm |
|
19124 | 138 |
val incr_indexes: thm -> thm -> thm |
139 |
val incr_indexes2: thm -> thm -> thm -> thm |
|
12297 | 140 |
val remdups_rl: thm |
18225 | 141 |
val multi_resolve: thm list -> thm -> thm Seq.seq |
142 |
val multi_resolves: thm list -> thm list -> thm Seq.seq |
|
13325 | 143 |
val abs_def: thm -> thm |
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wenzelm
parents:
15949
diff
changeset
|
144 |
val read_instantiate_sg': theory -> (indexname * string) list -> thm -> thm |
15797 | 145 |
val read_instantiate': (indexname * string) list -> thm -> thm |
3766 | 146 |
end; |
0 | 147 |
|
5903 | 148 |
structure Drule: DRULE = |
0 | 149 |
struct |
150 |
||
3991 | 151 |
|
16682 | 152 |
(** some cterm->cterm operations: faster than calling cterm_of! **) |
708
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
lcp
parents:
668
diff
changeset
|
153 |
|
2004
3411fe560611
New operations on cterms. Now same names as in Logic
paulson
parents:
1906
diff
changeset
|
154 |
fun dest_implies ct = |
16682 | 155 |
(case Thm.term_of ct of |
20669 | 156 |
Const ("==>", _) $ _ $ _ => Thm.dest_binop ct |
157 |
| _ => raise TERM ("dest_implies", [Thm.term_of ct])); |
|
1703
e22ad43bab5f
moved dest_cimplies to drule.ML; added adjust_maxidx
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parents:
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diff
changeset
|
158 |
|
10414 | 159 |
fun dest_equals ct = |
16682 | 160 |
(case Thm.term_of ct of |
20669 | 161 |
Const ("==", _) $ _ $ _ => Thm.dest_binop ct |
162 |
| _ => raise TERM ("dest_equals", [Thm.term_of ct])); |
|
163 |
||
20904 | 164 |
fun dest_equals_lhs ct = |
165 |
(case Thm.term_of ct of |
|
166 |
Const ("==", _) $ _ $ _ => #1 (Thm.dest_binop ct) |
|
167 |
| _ => raise TERM ("dest_equals_lhs", [Thm.term_of ct])); |
|
168 |
||
20669 | 169 |
fun dest_equals_rhs ct = |
170 |
(case Thm.term_of ct of |
|
171 |
Const ("==", _) $ _ $ _ => Thm.dest_arg ct |
|
172 |
| _ => raise TERM ("dest_equals_rhs", [Thm.term_of ct])); |
|
10414 | 173 |
|
20904 | 174 |
val lhs_of = dest_equals_lhs o Thm.cprop_of; |
175 |
val rhs_of = dest_equals_rhs o Thm.cprop_of; |
|
176 |
||
708
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
lcp
parents:
668
diff
changeset
|
177 |
(* A1==>...An==>B goes to [A1,...,An], where B is not an implication *) |
2004
3411fe560611
New operations on cterms. Now same names as in Logic
paulson
parents:
1906
diff
changeset
|
178 |
fun strip_imp_prems ct = |
20579 | 179 |
let val (cA, cB) = dest_implies ct |
180 |
in cA :: strip_imp_prems cB end |
|
181 |
handle TERM _ => []; |
|
708
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
lcp
parents:
668
diff
changeset
|
182 |
|
2004
3411fe560611
New operations on cterms. Now same names as in Logic
paulson
parents:
1906
diff
changeset
|
183 |
(* A1==>...An==>B goes to B, where B is not an implication *) |
3411fe560611
New operations on cterms. Now same names as in Logic
paulson
parents:
1906
diff
changeset
|
184 |
fun strip_imp_concl ct = |
20579 | 185 |
(case Thm.term_of ct of |
186 |
Const ("==>", _) $ _ $ _ => strip_imp_concl (Thm.dest_arg ct) |
|
187 |
| _ => ct); |
|
2004
3411fe560611
New operations on cterms. Now same names as in Logic
paulson
parents:
1906
diff
changeset
|
188 |
|
708
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
lcp
parents:
668
diff
changeset
|
189 |
(*The premises of a theorem, as a cterm list*) |
13659
3cf622f6b0b2
Removed obsolete functions dealing with flex-flex constraints.
berghofe
parents:
13650
diff
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|
190 |
val cprems_of = strip_imp_prems o cprop_of; |
708
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
lcp
parents:
668
diff
changeset
|
191 |
|
15797 | 192 |
fun cterm_fun f ct = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
193 |
let val {t, thy, ...} = Thm.rep_cterm ct |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
194 |
in Thm.cterm_of thy (f t) end; |
15797 | 195 |
|
196 |
fun ctyp_fun f cT = |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
197 |
let val {T, thy, ...} = Thm.rep_ctyp cT |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
198 |
in Thm.ctyp_of thy (f T) end; |
15797 | 199 |
|
19421 | 200 |
val cert = cterm_of ProtoPure.thy; |
9547 | 201 |
|
19421 | 202 |
val implies = cert Term.implies; |
19183 | 203 |
fun mk_implies (A, B) = Thm.capply (Thm.capply implies A) B; |
9547 | 204 |
|
205 |
(*cterm version of list_implies: [A1,...,An], B goes to [|A1;==>;An|]==>B *) |
|
206 |
fun list_implies([], B) = B |
|
207 |
| list_implies(A::AS, B) = mk_implies (A, list_implies(AS,B)); |
|
208 |
||
15949 | 209 |
(*cterm version of list_comb: maps (f, [t1,...,tn]) to f(t1,...,tn) *) |
210 |
fun list_comb (f, []) = f |
|
211 |
| list_comb (f, t::ts) = list_comb (Thm.capply f t, ts); |
|
212 |
||
12908
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
changeset
|
213 |
(*cterm version of strip_comb: maps f(t1,...,tn) to (f, [t1,...,tn]) *) |
18179 | 214 |
fun strip_comb ct = |
12908
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
changeset
|
215 |
let |
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
changeset
|
216 |
fun stripc (p as (ct, cts)) = |
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
changeset
|
217 |
let val (ct1, ct2) = Thm.dest_comb ct |
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
changeset
|
218 |
in stripc (ct1, ct2 :: cts) end handle CTERM _ => p |
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
changeset
|
219 |
in stripc (ct, []) end; |
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
changeset
|
220 |
|
15262 | 221 |
(* cterm version of strip_type: maps [T1,...,Tn]--->T to ([T1,T2,...,Tn], T) *) |
222 |
fun strip_type cT = (case Thm.typ_of cT of |
|
223 |
Type ("fun", _) => |
|
224 |
let |
|
225 |
val [cT1, cT2] = Thm.dest_ctyp cT; |
|
226 |
val (cTs, cT') = strip_type cT2 |
|
227 |
in (cT1 :: cTs, cT') end |
|
228 |
| _ => ([], cT)); |
|
229 |
||
15949 | 230 |
(*Beta-conversion for cterms, where x is an abstraction. Simply returns the rhs |
231 |
of the meta-equality returned by the beta_conversion rule.*) |
|
18179 | 232 |
fun beta_conv x y = |
20579 | 233 |
Thm.dest_arg (cprop_of (Thm.beta_conversion false (Thm.capply x y))); |
15949 | 234 |
|
15875 | 235 |
fun plain_prop_of raw_thm = |
236 |
let |
|
237 |
val thm = Thm.strip_shyps raw_thm; |
|
238 |
fun err msg = raise THM ("plain_prop_of: " ^ msg, 0, [thm]); |
|
239 |
val {hyps, prop, tpairs, ...} = Thm.rep_thm thm; |
|
240 |
in |
|
241 |
if not (null hyps) then |
|
242 |
err "theorem may not contain hypotheses" |
|
243 |
else if not (null (Thm.extra_shyps thm)) then |
|
244 |
err "theorem may not contain sort hypotheses" |
|
245 |
else if not (null tpairs) then |
|
246 |
err "theorem may not contain flex-flex pairs" |
|
247 |
else prop |
|
248 |
end; |
|
249 |
||
20298 | 250 |
fun fold_terms f th = |
251 |
let val {tpairs, prop, hyps, ...} = Thm.rep_thm th |
|
252 |
in fold (fn (t, u) => f t #> f u) tpairs #> f prop #> fold f hyps end; |
|
253 |
||
15875 | 254 |
|
708
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
lcp
parents:
668
diff
changeset
|
255 |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
256 |
(** reading of instantiations **) |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
257 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
258 |
fun absent ixn = |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
259 |
error("No such variable in term: " ^ Syntax.string_of_vname ixn); |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
260 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
261 |
fun inst_failure ixn = |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
262 |
error("Instantiation of " ^ Syntax.string_of_vname ixn ^ " fails"); |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
263 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
264 |
fun read_insts thy (rtypes,rsorts) (types,sorts) used insts = |
10403 | 265 |
let |
15442
3b75e1b22ff1
Added variants of instantiation functions that operate on pairs of type
berghofe
parents:
15262
diff
changeset
|
266 |
fun is_tv ((a, _), _) = |
3b75e1b22ff1
Added variants of instantiation functions that operate on pairs of type
berghofe
parents:
15262
diff
changeset
|
267 |
(case Symbol.explode a of "'" :: _ => true | _ => false); |
15570 | 268 |
val (tvs, vs) = List.partition is_tv insts; |
15797 | 269 |
fun sort_of ixn = case rsorts ixn of SOME S => S | NONE => absent ixn; |
15442
3b75e1b22ff1
Added variants of instantiation functions that operate on pairs of type
berghofe
parents:
15262
diff
changeset
|
270 |
fun readT (ixn, st) = |
15797 | 271 |
let val S = sort_of ixn; |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
272 |
val T = Sign.read_typ (thy,sorts) st; |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
273 |
in if Sign.typ_instance thy (T, TVar(ixn,S)) then (ixn,T) |
4281
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
274 |
else inst_failure ixn |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
275 |
end |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
276 |
val tye = map readT tvs; |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
277 |
fun mkty(ixn,st) = (case rtypes ixn of |
15531 | 278 |
SOME T => (ixn,(st,typ_subst_TVars tye T)) |
279 |
| NONE => absent ixn); |
|
4281
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
280 |
val ixnsTs = map mkty vs; |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
281 |
val ixns = map fst ixnsTs |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
282 |
and sTs = map snd ixnsTs |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
283 |
val (cts,tye2) = read_def_cterms(thy,types,sorts) used false sTs; |
4281
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
284 |
fun mkcVar(ixn,T) = |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
285 |
let val U = typ_subst_TVars tye2 T |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
286 |
in cterm_of thy (Var(ixn,U)) end |
4281
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
287 |
val ixnTs = ListPair.zip(ixns, map snd sTs) |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
288 |
in (map (fn (ixn, T) => (ctyp_of thy (TVar (ixn, sort_of ixn)), |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
289 |
ctyp_of thy T)) (tye2 @ tye), |
4281
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
290 |
ListPair.zip(map mkcVar ixnTs,cts)) |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
291 |
end; |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
292 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
293 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
294 |
(*** Find the type (sort) associated with a (T)Var or (T)Free in a term |
0 | 295 |
Used for establishing default types (of variables) and sorts (of |
296 |
type variables) when reading another term. |
|
297 |
Index -1 indicates that a (T)Free rather than a (T)Var is wanted. |
|
298 |
***) |
|
299 |
||
300 |
fun types_sorts thm = |
|
20329 | 301 |
let |
302 |
val vars = fold_terms Term.add_vars thm []; |
|
303 |
val frees = fold_terms Term.add_frees thm []; |
|
304 |
val tvars = fold_terms Term.add_tvars thm []; |
|
305 |
val tfrees = fold_terms Term.add_tfrees thm []; |
|
306 |
fun types (a, i) = |
|
307 |
if i < 0 then AList.lookup (op =) frees a else AList.lookup (op =) vars (a, i); |
|
308 |
fun sorts (a, i) = |
|
309 |
if i < 0 then AList.lookup (op =) tfrees a else AList.lookup (op =) tvars (a, i); |
|
310 |
in (types, sorts) end; |
|
0 | 311 |
|
20329 | 312 |
val add_used = |
313 |
(fold_terms o fold_types o fold_atyps) |
|
314 |
(fn TFree (a, _) => insert (op =) a |
|
315 |
| TVar ((a, _), _) => insert (op =) a |
|
316 |
| _ => I); |
|
15669 | 317 |
|
7636 | 318 |
|
9455 | 319 |
|
0 | 320 |
(** Standardization of rules **) |
321 |
||
19523 | 322 |
(* type classes and sorts *) |
323 |
||
324 |
fun sort_triv thy (T, S) = |
|
325 |
let |
|
326 |
val certT = Thm.ctyp_of thy; |
|
327 |
val cT = certT T; |
|
328 |
fun class_triv c = |
|
329 |
Thm.class_triv thy c |
|
330 |
|> Thm.instantiate ([(certT (TVar (("'a", 0), [c])), cT)], []); |
|
331 |
in map class_triv S end; |
|
332 |
||
19504 | 333 |
fun unconstrainTs th = |
20298 | 334 |
fold (Thm.unconstrainT o Thm.ctyp_of (Thm.theory_of_thm th) o TVar) |
335 |
(fold_terms Term.add_tvars th []) th; |
|
19504 | 336 |
|
19730 | 337 |
(*Generalization over a list of variables*) |
338 |
val forall_intr_list = fold_rev forall_intr; |
|
0 | 339 |
|
340 |
(*Generalization over all suitable Free variables*) |
|
341 |
fun forall_intr_frees th = |
|
19730 | 342 |
let |
343 |
val {prop, hyps, tpairs, thy,...} = rep_thm th; |
|
344 |
val fixed = fold Term.add_frees (Thm.terms_of_tpairs tpairs @ hyps) []; |
|
345 |
val frees = Term.fold_aterms (fn Free v => |
|
346 |
if member (op =) fixed v then I else insert (op =) v | _ => I) prop []; |
|
347 |
in fold (forall_intr o cterm_of thy o Free) frees th end; |
|
0 | 348 |
|
18535 | 349 |
(*Generalization over Vars -- canonical order*) |
350 |
fun forall_intr_vars th = |
|
20298 | 351 |
fold forall_intr |
352 |
(map (Thm.cterm_of (Thm.theory_of_thm th) o Var) (fold_terms Term.add_vars th [])) th; |
|
18535 | 353 |
|
7898 | 354 |
val forall_elim_var = PureThy.forall_elim_var; |
355 |
val forall_elim_vars = PureThy.forall_elim_vars; |
|
0 | 356 |
|
18025 | 357 |
fun outer_params t = |
20077
4fc9a4fef219
replaced Term.variant(list) by Name.variant(_list);
wenzelm
parents:
19999
diff
changeset
|
358 |
let val vs = Term.strip_all_vars t |
4fc9a4fef219
replaced Term.variant(list) by Name.variant(_list);
wenzelm
parents:
19999
diff
changeset
|
359 |
in Name.variant_list [] (map (Name.clean o #1) vs) ~~ map #2 vs end; |
18025 | 360 |
|
361 |
(*generalize outermost parameters*) |
|
362 |
fun gen_all th = |
|
12719
41e0d086f8b6
improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents:
12710
diff
changeset
|
363 |
let |
18025 | 364 |
val {thy, prop, maxidx, ...} = Thm.rep_thm th; |
365 |
val cert = Thm.cterm_of thy; |
|
366 |
fun elim (x, T) = Thm.forall_elim (cert (Var ((x, maxidx + 1), T))); |
|
367 |
in fold elim (outer_params prop) th end; |
|
368 |
||
369 |
(*lift vars wrt. outermost goal parameters |
|
18118 | 370 |
-- reverses the effect of gen_all modulo higher-order unification*) |
18025 | 371 |
fun lift_all goal th = |
372 |
let |
|
373 |
val thy = Theory.merge (Thm.theory_of_cterm goal, Thm.theory_of_thm th); |
|
374 |
val cert = Thm.cterm_of thy; |
|
19421 | 375 |
val maxidx = Thm.maxidx_of th; |
18025 | 376 |
val ps = outer_params (Thm.term_of goal) |
377 |
|> map (fn (x, T) => Var ((x, maxidx + 1), Logic.incr_tvar (maxidx + 1) T)); |
|
378 |
val Ts = map Term.fastype_of ps; |
|
20298 | 379 |
val inst = fold_terms Term.add_vars th [] |> map (fn (xi, T) => |
18025 | 380 |
(cert (Var (xi, T)), cert (Term.list_comb (Var (xi, Ts ---> T), ps)))); |
381 |
in |
|
382 |
th |> Thm.instantiate ([], inst) |
|
383 |
|> fold_rev (Thm.forall_intr o cert) ps |
|
384 |
end; |
|
385 |
||
19999 | 386 |
(*direct generalization*) |
387 |
fun generalize names th = Thm.generalize names (Thm.maxidx_of th + 1) th; |
|
9554 | 388 |
|
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
389 |
(*specialization over a list of cterms*) |
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
390 |
val forall_elim_list = fold forall_elim; |
0 | 391 |
|
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
392 |
(*maps A1,...,An |- B to [| A1;...;An |] ==> B*) |
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
393 |
val implies_intr_list = fold_rev implies_intr; |
0 | 394 |
|
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
395 |
(*maps [| A1;...;An |] ==> B and [A1,...,An] to B*) |
15570 | 396 |
fun implies_elim_list impth ths = Library.foldl (uncurry implies_elim) (impth,ths); |
0 | 397 |
|
398 |
(*Reset Var indexes to zero, renaming to preserve distinctness*) |
|
21603 | 399 |
fun zero_var_indexes_list [] = [] |
400 |
| zero_var_indexes_list ths = |
|
401 |
let |
|
402 |
val thy = Theory.merge_list (map Thm.theory_of_thm ths); |
|
403 |
val certT = Thm.ctyp_of thy and cert = Thm.cterm_of thy; |
|
404 |
val (instT, inst) = TermSubst.zero_var_indexes_inst (map Thm.full_prop_of ths); |
|
405 |
val cinstT = map (fn (v, T) => (certT (TVar v), certT T)) instT; |
|
406 |
val cinst = map (fn (v, t) => (cert (Var v), cert t)) inst; |
|
407 |
in map (Thm.adjust_maxidx_thm ~1 o Thm.instantiate (cinstT, cinst)) ths end; |
|
408 |
||
409 |
val zero_var_indexes = singleton zero_var_indexes_list; |
|
0 | 410 |
|
411 |
||
14394 | 412 |
(** Standard form of object-rule: no hypotheses, flexflex constraints, |
413 |
Frees, or outer quantifiers; all generality expressed by Vars of index 0.**) |
|
10515 | 414 |
|
16595 | 415 |
(*Discharge all hypotheses.*) |
416 |
fun implies_intr_hyps th = |
|
417 |
fold Thm.implies_intr (#hyps (Thm.crep_thm th)) th; |
|
418 |
||
14394 | 419 |
(*Squash a theorem's flexflex constraints provided it can be done uniquely. |
420 |
This step can lose information.*) |
|
14387
e96d5c42c4b0
Polymorphic treatment of binary arithmetic using axclasses
paulson
parents:
14340
diff
changeset
|
421 |
fun flexflex_unique th = |
17713 | 422 |
if null (tpairs_of th) then th else |
19861 | 423 |
case Seq.chop 2 (flexflex_rule th) of |
14387
e96d5c42c4b0
Polymorphic treatment of binary arithmetic using axclasses
paulson
parents:
14340
diff
changeset
|
424 |
([th],_) => th |
e96d5c42c4b0
Polymorphic treatment of binary arithmetic using axclasses
paulson
parents:
14340
diff
changeset
|
425 |
| ([],_) => raise THM("flexflex_unique: impossible constraints", 0, [th]) |
e96d5c42c4b0
Polymorphic treatment of binary arithmetic using axclasses
paulson
parents:
14340
diff
changeset
|
426 |
| _ => raise THM("flexflex_unique: multiple unifiers", 0, [th]); |
e96d5c42c4b0
Polymorphic treatment of binary arithmetic using axclasses
paulson
parents:
14340
diff
changeset
|
427 |
|
10515 | 428 |
fun close_derivation thm = |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21603
diff
changeset
|
429 |
if Thm.get_name thm = "" then Thm.put_name "" thm |
10515 | 430 |
else thm; |
431 |
||
21603 | 432 |
|
433 |
(* legacy standard operations *) |
|
434 |
||
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
435 |
val standard' = |
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
436 |
implies_intr_hyps |
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
437 |
#> forall_intr_frees |
19421 | 438 |
#> `Thm.maxidx_of |
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
439 |
#-> (fn maxidx => |
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
440 |
forall_elim_vars (maxidx + 1) |
20904 | 441 |
#> Thm.strip_shyps |
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
442 |
#> zero_var_indexes |
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
443 |
#> Thm.varifyT |
21600
222810ce6b05
*** bad commit -- reverted to previous version ***
wenzelm
parents:
21596
diff
changeset
|
444 |
#> Thm.compress); |
1218
59ed8ef1a3a1
modified pretty_thm, standard, eq_thm to handle shyps;
wenzelm
parents:
1194
diff
changeset
|
445 |
|
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
446 |
val standard = |
21600
222810ce6b05
*** bad commit -- reverted to previous version ***
wenzelm
parents:
21596
diff
changeset
|
447 |
flexflex_unique |
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
448 |
#> standard' |
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
449 |
#> close_derivation; |
11512
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
450 |
|
0 | 451 |
|
8328 | 452 |
(*Convert all Vars in a theorem to Frees. Also return a function for |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
453 |
reversing that operation. DOES NOT WORK FOR TYPE VARIABLES. |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
454 |
Similar code in type/freeze_thaw*) |
15495
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
455 |
|
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
456 |
fun freeze_thaw_robust th = |
19878 | 457 |
let val fth = Thm.freezeT th |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
458 |
val {prop, tpairs, thy, ...} = rep_thm fth |
15495
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
459 |
in |
15574
b1d1b5bfc464
Removed practically all references to Library.foldr.
skalberg
parents:
15570
diff
changeset
|
460 |
case foldr add_term_vars [] (prop :: Thm.terms_of_tpairs tpairs) of |
15495
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
461 |
[] => (fth, fn i => fn x => x) (*No vars: nothing to do!*) |
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
462 |
| vars => |
19753 | 463 |
let fun newName (Var(ix,_)) = (ix, gensym (string_of_indexname ix)) |
464 |
val alist = map newName vars |
|
15495
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
465 |
fun mk_inst (Var(v,T)) = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
466 |
(cterm_of thy (Var(v,T)), |
17325 | 467 |
cterm_of thy (Free(((the o AList.lookup (op =) alist) v), T))) |
15495
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
468 |
val insts = map mk_inst vars |
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
469 |
fun thaw i th' = (*i is non-negative increment for Var indexes*) |
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
470 |
th' |> forall_intr_list (map #2 insts) |
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
471 |
|> forall_elim_list (map (Thm.cterm_incr_indexes i o #1) insts) |
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
472 |
in (Thm.instantiate ([],insts) fth, thaw) end |
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
473 |
end; |
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
474 |
|
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
475 |
(*Basic version of the function above. No option to rename Vars apart in thaw. |
19999 | 476 |
The Frees created from Vars have nice names. FIXME: does not check for |
19753 | 477 |
clashes with variables in the assumptions, so delete and use freeze_thaw_robust instead?*) |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
478 |
fun freeze_thaw th = |
19878 | 479 |
let val fth = Thm.freezeT th |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
480 |
val {prop, tpairs, thy, ...} = rep_thm fth |
7248
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
481 |
in |
15574
b1d1b5bfc464
Removed practically all references to Library.foldr.
skalberg
parents:
15570
diff
changeset
|
482 |
case foldr add_term_vars [] (prop :: Thm.terms_of_tpairs tpairs) of |
7248
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
483 |
[] => (fth, fn x => x) |
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
484 |
| vars => |
8328 | 485 |
let fun newName (Var(ix,_), (pairs,used)) = |
20077
4fc9a4fef219
replaced Term.variant(list) by Name.variant(_list);
wenzelm
parents:
19999
diff
changeset
|
486 |
let val v = Name.variant used (string_of_indexname ix) |
8328 | 487 |
in ((ix,v)::pairs, v::used) end; |
15574
b1d1b5bfc464
Removed practically all references to Library.foldr.
skalberg
parents:
15570
diff
changeset
|
488 |
val (alist, _) = foldr newName ([], Library.foldr add_term_names |
b1d1b5bfc464
Removed practically all references to Library.foldr.
skalberg
parents:
15570
diff
changeset
|
489 |
(prop :: Thm.terms_of_tpairs tpairs, [])) vars |
8328 | 490 |
fun mk_inst (Var(v,T)) = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
491 |
(cterm_of thy (Var(v,T)), |
17325 | 492 |
cterm_of thy (Free(((the o AList.lookup (op =) alist) v), T))) |
8328 | 493 |
val insts = map mk_inst vars |
494 |
fun thaw th' = |
|
495 |
th' |> forall_intr_list (map #2 insts) |
|
496 |
|> forall_elim_list (map #1 insts) |
|
497 |
in (Thm.instantiate ([],insts) fth, thaw) end |
|
7248
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
498 |
end; |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
499 |
|
7248
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
500 |
(*Rotates a rule's premises to the left by k*) |
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
501 |
val rotate_prems = permute_prems 0; |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
502 |
|
11163 | 503 |
(* permute prems, where the i-th position in the argument list (counting from 0) |
504 |
gives the position within the original thm to be transferred to position i. |
|
505 |
Any remaining trailing positions are left unchanged. *) |
|
506 |
val rearrange_prems = let |
|
507 |
fun rearr new [] thm = thm |
|
11815 | 508 |
| rearr new (p::ps) thm = rearr (new+1) |
11163 | 509 |
(map (fn q => if new<=q andalso q<p then q+1 else q) ps) |
510 |
(permute_prems (new+1) (new-p) (permute_prems new (p-new) thm)) |
|
511 |
in rearr 0 end; |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
512 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
513 |
(*Resolution: exactly one resolvent must be produced.*) |
0 | 514 |
fun tha RSN (i,thb) = |
19861 | 515 |
case Seq.chop 2 (biresolution false [(false,tha)] i thb) of |
0 | 516 |
([th],_) => th |
517 |
| ([],_) => raise THM("RSN: no unifiers", i, [tha,thb]) |
|
518 |
| _ => raise THM("RSN: multiple unifiers", i, [tha,thb]); |
|
519 |
||
520 |
(*resolution: P==>Q, Q==>R gives P==>R. *) |
|
521 |
fun tha RS thb = tha RSN (1,thb); |
|
522 |
||
523 |
(*For joining lists of rules*) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
524 |
fun thas RLN (i,thbs) = |
0 | 525 |
let val resolve = biresolution false (map (pair false) thas) i |
4270 | 526 |
fun resb thb = Seq.list_of (resolve thb) handle THM _ => [] |
19482
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19421
diff
changeset
|
527 |
in maps resb thbs end; |
0 | 528 |
|
529 |
fun thas RL thbs = thas RLN (1,thbs); |
|
530 |
||
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
531 |
(*Resolve a list of rules against bottom_rl from right to left; |
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
532 |
makes proof trees*) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
533 |
fun rls MRS bottom_rl = |
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
534 |
let fun rs_aux i [] = bottom_rl |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
535 |
| rs_aux i (rl::rls) = rl RSN (i, rs_aux (i+1) rls) |
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
536 |
in rs_aux 1 rls end; |
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
537 |
|
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
538 |
(*As above, but for rule lists*) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
539 |
fun rlss MRL bottom_rls = |
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
540 |
let fun rs_aux i [] = bottom_rls |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
541 |
| rs_aux i (rls::rlss) = rls RLN (i, rs_aux (i+1) rlss) |
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
542 |
in rs_aux 1 rlss end; |
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
543 |
|
9288
06a55195741b
infix 'OF' is a version of 'MRS' with more appropriate argument order;
wenzelm
parents:
8605
diff
changeset
|
544 |
(*A version of MRS with more appropriate argument order*) |
06a55195741b
infix 'OF' is a version of 'MRS' with more appropriate argument order;
wenzelm
parents:
8605
diff
changeset
|
545 |
fun bottom_rl OF rls = rls MRS bottom_rl; |
06a55195741b
infix 'OF' is a version of 'MRS' with more appropriate argument order;
wenzelm
parents:
8605
diff
changeset
|
546 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
547 |
(*compose Q and [...,Qi,Q(i+1),...]==>R to [...,Q(i+1),...]==>R |
0 | 548 |
with no lifting or renaming! Q may contain ==> or meta-quants |
549 |
ALWAYS deletes premise i *) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
550 |
fun compose(tha,i,thb) = |
4270 | 551 |
Seq.list_of (bicompose false (false,tha,0) i thb); |
0 | 552 |
|
6946 | 553 |
fun compose_single (tha,i,thb) = |
554 |
(case compose (tha,i,thb) of |
|
555 |
[th] => th |
|
556 |
| _ => raise THM ("compose: unique result expected", i, [tha,thb])); |
|
557 |
||
0 | 558 |
(*compose Q and [Q1,Q2,...,Qk]==>R to [Q2,...,Qk]==>R getting unique result*) |
559 |
fun tha COMP thb = |
|
560 |
case compose(tha,1,thb) of |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
561 |
[th] => th |
0 | 562 |
| _ => raise THM("COMP", 1, [tha,thb]); |
563 |
||
13105
3d1e7a199bdc
use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents:
12908
diff
changeset
|
564 |
|
4016 | 565 |
(** theorem equality **) |
0 | 566 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
567 |
(*True if the two theorems have the same theory.*) |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
568 |
val eq_thm_thy = eq_thy o pairself Thm.theory_of_thm; |
13650
31bd2a8cdbe2
fixing the cut_tac method to work when there are no instantiations and the
paulson
parents:
13606
diff
changeset
|
569 |
|
31bd2a8cdbe2
fixing the cut_tac method to work when there are no instantiations and the
paulson
parents:
13606
diff
changeset
|
570 |
(*True if the two theorems have the same prop field, ignoring hyps, der, etc.*) |
16720 | 571 |
val eq_thm_prop = op aconv o pairself Thm.full_prop_of; |
0 | 572 |
|
573 |
(*Useful "distance" function for BEST_FIRST*) |
|
16720 | 574 |
val size_of_thm = size_of_term o Thm.full_prop_of; |
0 | 575 |
|
9829 | 576 |
(*maintain lists of theorems --- preserving canonical order*) |
18922 | 577 |
val del_rule = remove eq_thm_prop; |
578 |
fun add_rule th = cons th o del_rule th; |
|
579 |
val merge_rules = Library.merge eq_thm_prop; |
|
9829 | 580 |
|
19878 | 581 |
(*pattern equivalence*) |
582 |
fun equiv_thm ths = |
|
583 |
Pattern.equiv (Theory.merge (pairself Thm.theory_of_thm ths)) (pairself Thm.full_prop_of ths); |
|
1194
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
584 |
|
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
585 |
|
0 | 586 |
(*** Meta-Rewriting Rules ***) |
587 |
||
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
588 |
fun read_prop s = read_cterm ProtoPure.thy (s, propT); |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
589 |
|
9455 | 590 |
fun store_thm name thm = hd (PureThy.smart_store_thms (name, [thm])); |
591 |
fun store_standard_thm name thm = store_thm name (standard thm); |
|
12135 | 592 |
fun store_thm_open name thm = hd (PureThy.smart_store_thms_open (name, [thm])); |
593 |
fun store_standard_thm_open name thm = store_thm_open name (standard' thm); |
|
4016 | 594 |
|
0 | 595 |
val reflexive_thm = |
19421 | 596 |
let val cx = cert (Var(("x",0),TVar(("'a",0),[]))) |
12135 | 597 |
in store_standard_thm_open "reflexive" (Thm.reflexive cx) end; |
0 | 598 |
|
599 |
val symmetric_thm = |
|
14854 | 600 |
let val xy = read_prop "x == y" |
16595 | 601 |
in store_standard_thm_open "symmetric" (Thm.implies_intr xy (Thm.symmetric (Thm.assume xy))) end; |
0 | 602 |
|
603 |
val transitive_thm = |
|
14854 | 604 |
let val xy = read_prop "x == y" |
605 |
val yz = read_prop "y == z" |
|
0 | 606 |
val xythm = Thm.assume xy and yzthm = Thm.assume yz |
12135 | 607 |
in store_standard_thm_open "transitive" (Thm.implies_intr yz (Thm.transitive xythm yzthm)) end; |
0 | 608 |
|
4679 | 609 |
fun symmetric_fun thm = thm RS symmetric_thm; |
610 |
||
11512
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
611 |
fun extensional eq = |
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
612 |
let val eq' = |
20579 | 613 |
abstract_rule "x" (Thm.dest_arg (fst (dest_equals (cprop_of eq)))) eq |
11512
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
614 |
in equal_elim (eta_conversion (cprop_of eq')) eq' end; |
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
615 |
|
18820 | 616 |
val equals_cong = |
617 |
store_standard_thm_open "equals_cong" (Thm.reflexive (read_prop "x == y")); |
|
618 |
||
10414 | 619 |
val imp_cong = |
620 |
let |
|
621 |
val ABC = read_prop "PROP A ==> PROP B == PROP C" |
|
622 |
val AB = read_prop "PROP A ==> PROP B" |
|
623 |
val AC = read_prop "PROP A ==> PROP C" |
|
624 |
val A = read_prop "PROP A" |
|
625 |
in |
|
12135 | 626 |
store_standard_thm_open "imp_cong" (implies_intr ABC (equal_intr |
10414 | 627 |
(implies_intr AB (implies_intr A |
628 |
(equal_elim (implies_elim (assume ABC) (assume A)) |
|
629 |
(implies_elim (assume AB) (assume A))))) |
|
630 |
(implies_intr AC (implies_intr A |
|
631 |
(equal_elim (symmetric (implies_elim (assume ABC) (assume A))) |
|
632 |
(implies_elim (assume AC) (assume A))))))) |
|
633 |
end; |
|
634 |
||
635 |
val swap_prems_eq = |
|
636 |
let |
|
637 |
val ABC = read_prop "PROP A ==> PROP B ==> PROP C" |
|
638 |
val BAC = read_prop "PROP B ==> PROP A ==> PROP C" |
|
639 |
val A = read_prop "PROP A" |
|
640 |
val B = read_prop "PROP B" |
|
641 |
in |
|
12135 | 642 |
store_standard_thm_open "swap_prems_eq" (equal_intr |
10414 | 643 |
(implies_intr ABC (implies_intr B (implies_intr A |
644 |
(implies_elim (implies_elim (assume ABC) (assume A)) (assume B))))) |
|
645 |
(implies_intr BAC (implies_intr A (implies_intr B |
|
646 |
(implies_elim (implies_elim (assume BAC) (assume B)) (assume A)))))) |
|
647 |
end; |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
648 |
|
18468 | 649 |
val imp_cong_rule = combination o combination (reflexive implies); |
0 | 650 |
|
15001
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
651 |
local |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
652 |
val dest_eq = dest_equals o cprop_of |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
653 |
val rhs_of = snd o dest_eq |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
654 |
in |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
655 |
fun beta_eta_conversion t = |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
656 |
let val thm = beta_conversion true t |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
657 |
in transitive thm (eta_conversion (rhs_of thm)) end |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
658 |
end; |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
659 |
|
15925 | 660 |
fun eta_long_conversion ct = transitive (beta_eta_conversion ct) |
661 |
(symmetric (beta_eta_conversion (cterm_fun (Pattern.eta_long []) ct))); |
|
662 |
||
20861 | 663 |
(*Contract all eta-redexes in the theorem, lest they give rise to needless abstractions*) |
664 |
fun eta_contraction_rule th = |
|
665 |
equal_elim (eta_conversion (cprop_of th)) th; |
|
666 |
||
18337 | 667 |
val abs_def = |
668 |
let |
|
669 |
fun contract_lhs th = |
|
670 |
Thm.transitive (Thm.symmetric (beta_eta_conversion (fst (dest_equals (cprop_of th))))) th; |
|
18777 | 671 |
fun abstract cx th = Thm.abstract_rule |
672 |
(case Thm.term_of cx of Var ((x, _), _) => x | Free (x, _) => x | _ => "x") cx th |
|
673 |
handle THM _ => raise THM ("Malformed definitional equation", 0, [th]); |
|
18337 | 674 |
in |
675 |
contract_lhs |
|
676 |
#> `(snd o strip_comb o fst o dest_equals o cprop_of) |
|
677 |
#-> fold_rev abstract |
|
678 |
#> contract_lhs |
|
679 |
end; |
|
680 |
||
18468 | 681 |
(*rewrite B in !!x1 ... xn. B*) |
18251 | 682 |
fun forall_conv 0 cv ct = cv ct |
683 |
| forall_conv n cv ct = |
|
18468 | 684 |
(case try Thm.dest_comb ct of |
685 |
NONE => cv ct |
|
686 |
| SOME (A, B) => |
|
687 |
(case (term_of A, term_of B) of |
|
688 |
(Const ("all", _), Abs (x, _, _)) => |
|
689 |
let val (v, B') = Thm.dest_abs (SOME (gensym "all_")) B in |
|
690 |
Thm.combination (Thm.reflexive A) |
|
691 |
(Thm.abstract_rule x v (forall_conv (n - 1) cv B')) |
|
692 |
end |
|
693 |
| _ => cv ct)); |
|
694 |
||
695 |
(*rewrite B in A1 ==> ... ==> An ==> B*) |
|
696 |
fun concl_conv 0 cv ct = cv ct |
|
697 |
| concl_conv n cv ct = |
|
698 |
(case try dest_implies ct of |
|
699 |
NONE => cv ct |
|
700 |
| SOME (A, B) => imp_cong_rule (reflexive A) (concl_conv (n - 1) cv B)); |
|
15001
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
701 |
|
18468 | 702 |
(*rewrite the A's in A1 ==> ... ==> An ==> B*) |
703 |
fun prems_conv 0 _ = reflexive |
|
704 |
| prems_conv n cv = |
|
705 |
let |
|
706 |
fun conv i ct = |
|
707 |
if i = n + 1 then reflexive ct |
|
708 |
else |
|
709 |
(case try dest_implies ct of |
|
710 |
NONE => reflexive ct |
|
711 |
| SOME (A, B) => imp_cong_rule (cv i A) (conv (i + 1) B)); |
|
712 |
in conv 1 end; |
|
713 |
||
714 |
fun goals_conv pred cv = prems_conv ~1 (fn i => if pred i then cv else reflexive); |
|
15001
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
715 |
fun fconv_rule cv th = equal_elim (cv (cprop_of th)) th; |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
716 |
|
18468 | 717 |
|
15669 | 718 |
(*** Some useful meta-theorems ***) |
0 | 719 |
|
720 |
(*The rule V/V, obtains assumption solving for eresolve_tac*) |
|
12135 | 721 |
val asm_rl = store_standard_thm_open "asm_rl" (Thm.trivial (read_prop "PROP ?psi")); |
7380 | 722 |
val _ = store_thm "_" asm_rl; |
0 | 723 |
|
724 |
(*Meta-level cut rule: [| V==>W; V |] ==> W *) |
|
4016 | 725 |
val cut_rl = |
12135 | 726 |
store_standard_thm_open "cut_rl" |
9455 | 727 |
(Thm.trivial (read_prop "PROP ?psi ==> PROP ?theta")); |
0 | 728 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
729 |
(*Generalized elim rule for one conclusion; cut_rl with reversed premises: |
0 | 730 |
[| PROP V; PROP V ==> PROP W |] ==> PROP W *) |
731 |
val revcut_rl = |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
732 |
let val V = read_prop "PROP V" |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
733 |
and VW = read_prop "PROP V ==> PROP W"; |
4016 | 734 |
in |
12135 | 735 |
store_standard_thm_open "revcut_rl" |
4016 | 736 |
(implies_intr V (implies_intr VW (implies_elim (assume VW) (assume V)))) |
0 | 737 |
end; |
738 |
||
668 | 739 |
(*for deleting an unwanted assumption*) |
740 |
val thin_rl = |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
741 |
let val V = read_prop "PROP V" |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
742 |
and W = read_prop "PROP W"; |
12135 | 743 |
in store_standard_thm_open "thin_rl" (implies_intr V (implies_intr W (assume W))) end; |
668 | 744 |
|
0 | 745 |
(* (!!x. PROP ?V) == PROP ?V Allows removal of redundant parameters*) |
746 |
val triv_forall_equality = |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
747 |
let val V = read_prop "PROP V" |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
748 |
and QV = read_prop "!!x::'a. PROP V" |
19421 | 749 |
and x = cert (Free ("x", Term.aT [])); |
4016 | 750 |
in |
12135 | 751 |
store_standard_thm_open "triv_forall_equality" |
11512
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
752 |
(equal_intr (implies_intr QV (forall_elim x (assume QV))) |
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
753 |
(implies_intr V (forall_intr x (assume V)))) |
0 | 754 |
end; |
755 |
||
19051 | 756 |
(* (PROP ?Phi ==> PROP ?Phi ==> PROP ?Psi) ==> |
757 |
(PROP ?Phi ==> PROP ?Psi) |
|
758 |
*) |
|
759 |
val distinct_prems_rl = |
|
760 |
let |
|
761 |
val AAB = read_prop "PROP Phi ==> PROP Phi ==> PROP Psi" |
|
762 |
val A = read_prop "PROP Phi"; |
|
763 |
in |
|
764 |
store_standard_thm_open "distinct_prems_rl" |
|
765 |
(implies_intr_list [AAB, A] (implies_elim_list (assume AAB) [assume A, assume A])) |
|
766 |
end; |
|
767 |
||
1756 | 768 |
(* (PROP ?PhiA ==> PROP ?PhiB ==> PROP ?Psi) ==> |
769 |
(PROP ?PhiB ==> PROP ?PhiA ==> PROP ?Psi) |
|
770 |
`thm COMP swap_prems_rl' swaps the first two premises of `thm' |
|
771 |
*) |
|
772 |
val swap_prems_rl = |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
773 |
let val cmajor = read_prop "PROP PhiA ==> PROP PhiB ==> PROP Psi"; |
1756 | 774 |
val major = assume cmajor; |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
775 |
val cminor1 = read_prop "PROP PhiA"; |
1756 | 776 |
val minor1 = assume cminor1; |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
777 |
val cminor2 = read_prop "PROP PhiB"; |
1756 | 778 |
val minor2 = assume cminor2; |
12135 | 779 |
in store_standard_thm_open "swap_prems_rl" |
1756 | 780 |
(implies_intr cmajor (implies_intr cminor2 (implies_intr cminor1 |
781 |
(implies_elim (implies_elim major minor1) minor2)))) |
|
782 |
end; |
|
783 |
||
3653 | 784 |
(* [| PROP ?phi ==> PROP ?psi; PROP ?psi ==> PROP ?phi |] |
785 |
==> PROP ?phi == PROP ?psi |
|
8328 | 786 |
Introduction rule for == as a meta-theorem. |
3653 | 787 |
*) |
788 |
val equal_intr_rule = |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
789 |
let val PQ = read_prop "PROP phi ==> PROP psi" |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
790 |
and QP = read_prop "PROP psi ==> PROP phi" |
4016 | 791 |
in |
12135 | 792 |
store_standard_thm_open "equal_intr_rule" |
4016 | 793 |
(implies_intr PQ (implies_intr QP (equal_intr (assume PQ) (assume QP)))) |
3653 | 794 |
end; |
795 |
||
19421 | 796 |
(* PROP ?phi == PROP ?psi ==> PROP ?phi ==> PROP ?psi *) |
13368 | 797 |
val equal_elim_rule1 = |
798 |
let val eq = read_prop "PROP phi == PROP psi" |
|
799 |
and P = read_prop "PROP phi" |
|
800 |
in store_standard_thm_open "equal_elim_rule1" |
|
801 |
(Thm.equal_elim (assume eq) (assume P) |> implies_intr_list [eq, P]) |
|
802 |
end; |
|
4285 | 803 |
|
19421 | 804 |
(* PROP ?psi == PROP ?phi ==> PROP ?phi ==> PROP ?psi *) |
805 |
val equal_elim_rule2 = |
|
806 |
store_standard_thm_open "equal_elim_rule2" (symmetric_thm RS equal_elim_rule1); |
|
807 |
||
12297 | 808 |
(* "[| PROP ?phi; PROP ?phi; PROP ?psi |] ==> PROP ?psi" *) |
809 |
val remdups_rl = |
|
810 |
let val P = read_prop "PROP phi" and Q = read_prop "PROP psi"; |
|
811 |
in store_standard_thm_open "remdups_rl" (implies_intr_list [P, P, Q] (Thm.assume Q)) end; |
|
812 |
||
813 |
||
9554 | 814 |
(*(PROP ?phi ==> (!!x. PROP ?psi(x))) == (!!x. PROP ?phi ==> PROP ?psi(x)) |
12297 | 815 |
Rewrite rule for HHF normalization.*) |
9554 | 816 |
|
817 |
val norm_hhf_eq = |
|
818 |
let |
|
14854 | 819 |
val aT = TFree ("'a", []); |
9554 | 820 |
val all = Term.all aT; |
821 |
val x = Free ("x", aT); |
|
822 |
val phi = Free ("phi", propT); |
|
823 |
val psi = Free ("psi", aT --> propT); |
|
824 |
||
825 |
val cx = cert x; |
|
826 |
val cphi = cert phi; |
|
827 |
val lhs = cert (Logic.mk_implies (phi, all $ Abs ("x", aT, psi $ Bound 0))); |
|
828 |
val rhs = cert (all $ Abs ("x", aT, Logic.mk_implies (phi, psi $ Bound 0))); |
|
829 |
in |
|
830 |
Thm.equal_intr |
|
831 |
(Thm.implies_elim (Thm.assume lhs) (Thm.assume cphi) |
|
832 |
|> Thm.forall_elim cx |
|
833 |
|> Thm.implies_intr cphi |
|
834 |
|> Thm.forall_intr cx |
|
835 |
|> Thm.implies_intr lhs) |
|
836 |
(Thm.implies_elim |
|
837 |
(Thm.assume rhs |> Thm.forall_elim cx) (Thm.assume cphi) |
|
838 |
|> Thm.forall_intr cx |
|
839 |
|> Thm.implies_intr cphi |
|
840 |
|> Thm.implies_intr rhs) |
|
12135 | 841 |
|> store_standard_thm_open "norm_hhf_eq" |
9554 | 842 |
end; |
843 |
||
18179 | 844 |
val norm_hhf_prop = Logic.dest_equals (Thm.prop_of norm_hhf_eq); |
845 |
||
12800 | 846 |
fun is_norm_hhf tm = |
847 |
let |
|
848 |
fun is_norm (Const ("==>", _) $ _ $ (Const ("all", _) $ _)) = false |
|
849 |
| is_norm (t $ u) = is_norm t andalso is_norm u |
|
850 |
| is_norm (Abs (_, _, t)) = is_norm t |
|
851 |
| is_norm _ = true; |
|
18929 | 852 |
in is_norm (Envir.beta_eta_contract tm) end; |
12800 | 853 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
854 |
fun norm_hhf thy t = |
12800 | 855 |
if is_norm_hhf t then t |
18179 | 856 |
else Pattern.rewrite_term thy [norm_hhf_prop] [] t; |
857 |
||
20298 | 858 |
fun norm_hhf_cterm ct = |
859 |
if is_norm_hhf (Thm.term_of ct) then ct |
|
860 |
else cterm_fun (Pattern.rewrite_term (Thm.theory_of_cterm ct) [norm_hhf_prop] []) ct; |
|
861 |
||
12800 | 862 |
|
21603 | 863 |
(* var indexes *) |
864 |
||
865 |
fun incr_indexes th = Thm.incr_indexes (Thm.maxidx_of th + 1); |
|
866 |
||
867 |
fun incr_indexes2 th1 th2 = |
|
868 |
Thm.incr_indexes (Int.max (Thm.maxidx_of th1, Thm.maxidx_of th2) + 1); |
|
869 |
||
870 |
fun th1 INCR_COMP th2 = incr_indexes th2 th1 COMP th2; |
|
871 |
fun th1 COMP_INCR th2 = th1 COMP incr_indexes th1 th2; |
|
872 |
||
9554 | 873 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
874 |
(*** Instantiate theorem th, reading instantiations in theory thy ****) |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
875 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
876 |
(*Version that normalizes the result: Thm.instantiate no longer does that*) |
21603 | 877 |
fun instantiate instpair th = |
878 |
Thm.adjust_maxidx_thm ~1 (Thm.instantiate instpair th COMP_INCR asm_rl); |
|
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
879 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
880 |
fun read_instantiate_sg' thy sinsts th = |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
881 |
let val ts = types_sorts th; |
15669 | 882 |
val used = add_used th []; |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
883 |
in instantiate (read_insts thy ts ts used sinsts) th end; |
15797 | 884 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
885 |
fun read_instantiate_sg thy sinsts th = |
20298 | 886 |
read_instantiate_sg' thy (map (apfst Syntax.read_indexname) sinsts) th; |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
887 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
888 |
(*Instantiate theorem th, reading instantiations under theory of th*) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
889 |
fun read_instantiate sinsts th = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
890 |
read_instantiate_sg (Thm.theory_of_thm th) sinsts th; |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
891 |
|
15797 | 892 |
fun read_instantiate' sinsts th = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
893 |
read_instantiate_sg' (Thm.theory_of_thm th) sinsts th; |
15797 | 894 |
|
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
895 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
896 |
(*Left-to-right replacements: tpairs = [...,(vi,ti),...]. |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
897 |
Instantiates distinct Vars by terms, inferring type instantiations. *) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
898 |
local |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
899 |
fun add_types ((ct,cu), (thy,tye,maxidx)) = |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
900 |
let val {thy=thyt, t=t, T= T, maxidx=maxt,...} = rep_cterm ct |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
901 |
and {thy=thyu, t=u, T= U, maxidx=maxu,...} = rep_cterm cu; |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
902 |
val maxi = Int.max(maxidx, Int.max(maxt, maxu)); |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
903 |
val thy' = Theory.merge(thy, Theory.merge(thyt, thyu)) |
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
904 |
val (tye',maxi') = Sign.typ_unify thy' (T, U) (tye, maxi) |
10403 | 905 |
handle Type.TUNIFY => raise TYPE("Ill-typed instantiation", [T,U], [t,u]) |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
906 |
in (thy', tye', maxi') end; |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
907 |
in |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
908 |
fun cterm_instantiate ctpairs0 th = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
909 |
let val (thy,tye,_) = foldr add_types (Thm.theory_of_thm th, Vartab.empty, 0) ctpairs0 |
18179 | 910 |
fun instT(ct,cu) = |
22287
9985a79735c7
cterm_instantiate was calling a type instantiation function that works only for matching,
paulson
parents:
22109
diff
changeset
|
911 |
let val inst = cterm_of thy o Term.map_types (Envir.norm_type tye) o term_of |
14340
bc93ffa674cc
correction to cterm_instantiate by Christoph Leuth
paulson
parents:
14081
diff
changeset
|
912 |
in (inst ct, inst cu) end |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
913 |
fun ctyp2 (ixn, (S, T)) = (ctyp_of thy (TVar (ixn, S)), ctyp_of thy T) |
8406
a217b0cd304d
Type.unify and Type.typ_match now use Vartab instead of association lists.
berghofe
parents:
8365
diff
changeset
|
914 |
in instantiate (map ctyp2 (Vartab.dest tye), map instT ctpairs0) th end |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
915 |
handle TERM _ => |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
916 |
raise THM("cterm_instantiate: incompatible theories",0,[th]) |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
917 |
| TYPE (msg, _, _) => raise THM(msg, 0, [th]) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
918 |
end; |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
919 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
920 |
|
19878 | 921 |
(* global schematic variables *) |
922 |
||
923 |
fun unvarify th = |
|
924 |
let |
|
925 |
val thy = Thm.theory_of_thm th; |
|
926 |
val cert = Thm.cterm_of thy; |
|
927 |
val certT = Thm.ctyp_of thy; |
|
928 |
||
929 |
val prop = Thm.full_prop_of th; |
|
930 |
val _ = map Logic.unvarify (prop :: Thm.hyps_of th) |
|
931 |
handle TERM (msg, _) => raise THM (msg, 0, [th]); |
|
932 |
||
933 |
val instT0 = rev (Term.add_tvars prop []) |> map (fn v as ((a, _), S) => (v, TFree (a, S))); |
|
934 |
val instT = map (fn (v, T) => (certT (TVar v), certT T)) instT0; |
|
935 |
val inst = rev (Term.add_vars prop []) |> map (fn ((a, i), T) => |
|
20509 | 936 |
let val T' = TermSubst.instantiateT instT0 T |
19878 | 937 |
in (cert (Var ((a, i), T')), cert (Free ((a, T')))) end); |
938 |
in Thm.instantiate (instT, inst) th end; |
|
939 |
||
940 |
||
19775 | 941 |
(** protected propositions and embedded terms **) |
4789 | 942 |
|
943 |
local |
|
18025 | 944 |
val A = cert (Free ("A", propT)); |
19878 | 945 |
val prop_def = unvarify ProtoPure.prop_def; |
946 |
val term_def = unvarify ProtoPure.term_def; |
|
4789 | 947 |
in |
18025 | 948 |
val protect = Thm.capply (cert Logic.protectC); |
21437 | 949 |
val protectI = store_thm "protectI" (PureThy.kind_rule Thm.internalK (standard |
18025 | 950 |
(Thm.equal_elim (Thm.symmetric prop_def) (Thm.assume A)))); |
21437 | 951 |
val protectD = store_thm "protectD" (PureThy.kind_rule Thm.internalK (standard |
18025 | 952 |
(Thm.equal_elim prop_def (Thm.assume (protect A))))); |
18179 | 953 |
val protect_cong = store_standard_thm_open "protect_cong" (Thm.reflexive (protect A)); |
19775 | 954 |
|
21437 | 955 |
val termI = store_thm "termI" (PureThy.kind_rule Thm.internalK (standard |
19775 | 956 |
(Thm.equal_elim (Thm.symmetric term_def) (Thm.forall_intr A (Thm.trivial A))))); |
4789 | 957 |
end; |
958 |
||
18025 | 959 |
fun implies_intr_protected asms th = |
18118 | 960 |
let val asms' = map protect asms in |
961 |
implies_elim_list |
|
962 |
(implies_intr_list asms th) |
|
963 |
(map (fn asm' => Thm.assume asm' RS protectD) asms') |
|
964 |
|> implies_intr_list asms' |
|
965 |
end; |
|
11815 | 966 |
|
19775 | 967 |
fun mk_term ct = |
968 |
let |
|
969 |
val {thy, T, ...} = Thm.rep_cterm ct; |
|
970 |
val cert = Thm.cterm_of thy; |
|
971 |
val certT = Thm.ctyp_of thy; |
|
972 |
val a = certT (TVar (("'a", 0), [])); |
|
973 |
val x = cert (Var (("x", 0), T)); |
|
974 |
in Thm.instantiate ([(a, certT T)], [(x, ct)]) termI end; |
|
975 |
||
976 |
fun dest_term th = |
|
21566 | 977 |
let val cprop = strip_imp_concl (Thm.cprop_of th) in |
19775 | 978 |
if can Logic.dest_term (Thm.term_of cprop) then |
20579 | 979 |
Thm.dest_arg cprop |
19775 | 980 |
else raise THM ("dest_term", 0, [th]) |
981 |
end; |
|
982 |
||
21519 | 983 |
fun cterm_rule f = dest_term o f o mk_term; |
984 |
fun term_rule thy f t = Thm.term_of (cterm_rule f (Thm.cterm_of thy t)); |
|
20881 | 985 |
|
19775 | 986 |
|
4789 | 987 |
|
5688 | 988 |
(** variations on instantiate **) |
4285 | 989 |
|
990 |
(* instantiate by left-to-right occurrence of variables *) |
|
991 |
||
992 |
fun instantiate' cTs cts thm = |
|
993 |
let |
|
994 |
fun err msg = |
|
995 |
raise TYPE ("instantiate': " ^ msg, |
|
19482
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19421
diff
changeset
|
996 |
map_filter (Option.map Thm.typ_of) cTs, |
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19421
diff
changeset
|
997 |
map_filter (Option.map Thm.term_of) cts); |
4285 | 998 |
|
999 |
fun inst_of (v, ct) = |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
1000 |
(Thm.cterm_of (Thm.theory_of_cterm ct) (Var v), ct) |
4285 | 1001 |
handle TYPE (msg, _, _) => err msg; |
1002 |
||
15797 | 1003 |
fun tyinst_of (v, cT) = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
1004 |
(Thm.ctyp_of (Thm.theory_of_ctyp cT) (TVar v), cT) |
15797 | 1005 |
handle TYPE (msg, _, _) => err msg; |
1006 |
||
20298 | 1007 |
fun zip_vars xs ys = |
1008 |
zip_options xs ys handle Library.UnequalLengths => |
|
1009 |
err "more instantiations than variables in thm"; |
|
4285 | 1010 |
|
1011 |
(*instantiate types first!*) |
|
1012 |
val thm' = |
|
1013 |
if forall is_none cTs then thm |
|
20298 | 1014 |
else Thm.instantiate |
1015 |
(map tyinst_of (zip_vars (rev (fold_terms Term.add_tvars thm [])) cTs), []) thm; |
|
20579 | 1016 |
val thm'' = |
4285 | 1017 |
if forall is_none cts then thm' |
20298 | 1018 |
else Thm.instantiate |
1019 |
([], map inst_of (zip_vars (rev (fold_terms Term.add_vars thm' [])) cts)) thm'; |
|
1020 |
in thm'' end; |
|
4285 | 1021 |
|
1022 |
||
14081 | 1023 |
|
1024 |
(** renaming of bound variables **) |
|
1025 |
||
1026 |
(* replace bound variables x_i in thm by y_i *) |
|
1027 |
(* where vs = [(x_1, y_1), ..., (x_n, y_n)] *) |
|
1028 |
||
1029 |
fun rename_bvars [] thm = thm |
|
1030 |
| rename_bvars vs thm = |
|
1031 |
let |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
1032 |
val {thy, prop, ...} = rep_thm thm; |
17325 | 1033 |
fun ren (Abs (x, T, t)) = Abs (AList.lookup (op =) vs x |> the_default x, T, ren t) |
14081 | 1034 |
| ren (t $ u) = ren t $ ren u |
1035 |
| ren t = t; |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
1036 |
in equal_elim (reflexive (cterm_of thy (ren prop))) thm end; |
14081 | 1037 |
|
1038 |
||
1039 |
(* renaming in left-to-right order *) |
|
1040 |
||
1041 |
fun rename_bvars' xs thm = |
|
1042 |
let |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
1043 |
val {thy, prop, ...} = rep_thm thm; |
14081 | 1044 |
fun rename [] t = ([], t) |
1045 |
| rename (x' :: xs) (Abs (x, T, t)) = |
|
1046 |
let val (xs', t') = rename xs t |
|
18929 | 1047 |
in (xs', Abs (the_default x x', T, t')) end |
14081 | 1048 |
| rename xs (t $ u) = |
1049 |
let |
|
1050 |
val (xs', t') = rename xs t; |
|
1051 |
val (xs'', u') = rename xs' u |
|
1052 |
in (xs'', t' $ u') end |
|
1053 |
| rename xs t = (xs, t); |
|
1054 |
in case rename xs prop of |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
1055 |
([], prop') => equal_elim (reflexive (cterm_of thy prop')) thm |
14081 | 1056 |
| _ => error "More names than abstractions in theorem" |
1057 |
end; |
|
1058 |
||
1059 |
||
11975 | 1060 |
|
18225 | 1061 |
(** multi_resolve **) |
1062 |
||
1063 |
local |
|
1064 |
||
1065 |
fun res th i rule = |
|
1066 |
Thm.biresolution false [(false, th)] i rule handle THM _ => Seq.empty; |
|
1067 |
||
1068 |
fun multi_res _ [] rule = Seq.single rule |
|
1069 |
| multi_res i (th :: ths) rule = Seq.maps (res th i) (multi_res (i + 1) ths rule); |
|
1070 |
||
1071 |
in |
|
1072 |
||
1073 |
val multi_resolve = multi_res 1; |
|
1074 |
fun multi_resolves facts rules = Seq.maps (multi_resolve facts) (Seq.of_list rules); |
|
1075 |
||
1076 |
end; |
|
1077 |
||
11975 | 1078 |
end; |
5903 | 1079 |
|
1080 |
structure BasicDrule: BASIC_DRULE = Drule; |
|
1081 |
open BasicDrule; |