author | wenzelm |
Sat, 05 Nov 2011 20:32:12 +0100 | |
changeset 45348 | 6976920b709c |
parent 45347 | 66566a5df4be |
child 46186 | 9ae331a1d8c5 |
permissions | -rw-r--r-- |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
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diff
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1 |
(* Title: Pure/drule.ML |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
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|
2 |
Author: Lawrence C Paulson, Cambridge University Computer Laboratory |
0 | 3 |
|
3766 | 4 |
Derived rules and other operations on theorems. |
0 | 5 |
*) |
6 |
||
21578 | 7 |
infix 0 RS RSN RL RLN MRS MRL OF COMP INCR_COMP COMP_INCR; |
0 | 8 |
|
5903 | 9 |
signature BASIC_DRULE = |
3766 | 10 |
sig |
18179 | 11 |
val mk_implies: cterm * cterm -> cterm |
12 |
val list_implies: cterm list * cterm -> cterm |
|
13 |
val strip_imp_prems: cterm -> cterm list |
|
14 |
val strip_imp_concl: cterm -> cterm |
|
15 |
val cprems_of: thm -> cterm list |
|
16 |
val cterm_fun: (term -> term) -> (cterm -> cterm) |
|
17 |
val ctyp_fun: (typ -> typ) -> (ctyp -> ctyp) |
|
18 |
val forall_intr_list: cterm list -> thm -> thm |
|
19 |
val forall_intr_vars: thm -> thm |
|
20 |
val forall_elim_list: cterm list -> thm -> thm |
|
21 |
val gen_all: thm -> thm |
|
22 |
val lift_all: cterm -> thm -> thm |
|
33832 | 23 |
val legacy_freeze_thaw: thm -> thm * (thm -> thm) |
24 |
val legacy_freeze_thaw_robust: thm -> thm * (int -> thm -> thm) |
|
18179 | 25 |
val implies_elim_list: thm -> thm list -> thm |
26 |
val implies_intr_list: cterm list -> thm -> thm |
|
43333
2bdec7f430d3
renamed Drule.instantiate to Drule.instantiate_normalize to emphasize its meaning as opposed to plain Thm.instantiate;
wenzelm
parents:
43330
diff
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|
27 |
val instantiate_normalize: (ctyp * ctyp) list * (cterm * cterm) list -> thm -> thm |
21603 | 28 |
val zero_var_indexes_list: thm list -> thm list |
18179 | 29 |
val zero_var_indexes: thm -> thm |
30 |
val implies_intr_hyps: thm -> thm |
|
31 |
val rotate_prems: int -> thm -> thm |
|
32 |
val rearrange_prems: int list -> thm -> thm |
|
33 |
val RSN: thm * (int * thm) -> thm |
|
34 |
val RS: thm * thm -> thm |
|
35 |
val RLN: thm list * (int * thm list) -> thm list |
|
36 |
val RL: thm list * thm list -> thm list |
|
37 |
val MRS: thm list * thm -> thm |
|
38 |
val MRL: thm list list * thm list -> thm list |
|
39 |
val OF: thm * thm list -> thm |
|
40 |
val compose: thm * int * thm -> thm list |
|
41 |
val COMP: thm * thm -> thm |
|
21578 | 42 |
val INCR_COMP: thm * thm -> thm |
43 |
val COMP_INCR: thm * thm -> thm |
|
18179 | 44 |
val cterm_instantiate: (cterm*cterm)list -> thm -> thm |
45 |
val size_of_thm: thm -> int |
|
46 |
val reflexive_thm: thm |
|
47 |
val symmetric_thm: thm |
|
48 |
val transitive_thm: thm |
|
49 |
val symmetric_fun: thm -> thm |
|
50 |
val extensional: thm -> thm |
|
18820 | 51 |
val equals_cong: thm |
18179 | 52 |
val imp_cong: thm |
53 |
val swap_prems_eq: thm |
|
54 |
val asm_rl: thm |
|
55 |
val cut_rl: thm |
|
56 |
val revcut_rl: thm |
|
57 |
val thin_rl: thm |
|
4285 | 58 |
val triv_forall_equality: thm |
19051 | 59 |
val distinct_prems_rl: thm |
18179 | 60 |
val swap_prems_rl: thm |
61 |
val equal_intr_rule: thm |
|
62 |
val equal_elim_rule1: thm |
|
19421 | 63 |
val equal_elim_rule2: thm |
18179 | 64 |
val instantiate': ctyp option list -> cterm option list -> thm -> thm |
5903 | 65 |
end; |
66 |
||
67 |
signature DRULE = |
|
68 |
sig |
|
69 |
include BASIC_DRULE |
|
19999 | 70 |
val generalize: string list * string list -> thm -> thm |
15949 | 71 |
val list_comb: cterm * cterm list -> cterm |
12908
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
changeset
|
72 |
val strip_comb: cterm -> cterm * cterm list |
15262 | 73 |
val strip_type: ctyp -> ctyp list * ctyp |
15949 | 74 |
val beta_conv: cterm -> cterm -> cterm |
27156 | 75 |
val types_sorts: thm -> (indexname-> typ option) * (indexname-> sort option) |
17713 | 76 |
val flexflex_unique: thm -> thm |
35021
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
77 |
val export_without_context: thm -> thm |
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
78 |
val export_without_context_open: thm -> thm |
33277 | 79 |
val store_thm: binding -> thm -> thm |
80 |
val store_standard_thm: binding -> thm -> thm |
|
81 |
val store_thm_open: binding -> thm -> thm |
|
82 |
val store_standard_thm_open: binding -> thm -> thm |
|
11975 | 83 |
val compose_single: thm * int * thm -> thm |
18468 | 84 |
val imp_cong_rule: thm -> thm -> thm |
22939 | 85 |
val arg_cong_rule: cterm -> thm -> thm |
23568 | 86 |
val binop_cong_rule: cterm -> thm -> thm -> thm |
22939 | 87 |
val fun_cong_rule: thm -> cterm -> thm |
15001
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
88 |
val beta_eta_conversion: cterm -> thm |
15925 | 89 |
val eta_long_conversion: cterm -> thm |
20861 | 90 |
val eta_contraction_rule: thm -> thm |
11975 | 91 |
val norm_hhf_eq: thm |
28618
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
92 |
val norm_hhf_eqs: thm list |
12800 | 93 |
val is_norm_hhf: term -> bool |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
94 |
val norm_hhf: theory -> term -> term |
20298 | 95 |
val norm_hhf_cterm: cterm -> cterm |
18025 | 96 |
val protect: cterm -> cterm |
97 |
val protectI: thm |
|
98 |
val protectD: thm |
|
18179 | 99 |
val protect_cong: thm |
18025 | 100 |
val implies_intr_protected: cterm list -> thm -> thm |
19775 | 101 |
val termI: thm |
102 |
val mk_term: cterm -> thm |
|
103 |
val dest_term: thm -> cterm |
|
21519 | 104 |
val cterm_rule: (thm -> thm) -> cterm -> cterm |
20881 | 105 |
val term_rule: theory -> (thm -> thm) -> term -> term |
24005 | 106 |
val dummy_thm: thm |
28618
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
107 |
val sort_constraintI: thm |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
108 |
val sort_constraint_eq: thm |
23423 | 109 |
val with_subgoal: int -> (thm -> thm) -> thm -> thm |
29344 | 110 |
val comp_no_flatten: thm * int -> int -> thm -> thm |
14081 | 111 |
val rename_bvars: (string * string) list -> thm -> thm |
112 |
val rename_bvars': string option list -> thm -> thm |
|
19124 | 113 |
val incr_indexes: thm -> thm -> thm |
114 |
val incr_indexes2: thm -> thm -> thm -> thm |
|
12297 | 115 |
val remdups_rl: thm |
18225 | 116 |
val multi_resolve: thm list -> thm -> thm Seq.seq |
117 |
val multi_resolves: thm list -> thm list -> thm Seq.seq |
|
13325 | 118 |
val abs_def: thm -> thm |
3766 | 119 |
end; |
0 | 120 |
|
5903 | 121 |
structure Drule: DRULE = |
0 | 122 |
struct |
123 |
||
3991 | 124 |
|
16682 | 125 |
(** 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
|
126 |
|
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
lcp
parents:
668
diff
changeset
|
127 |
(* 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
|
128 |
fun strip_imp_prems ct = |
22906
195b7515911a
moved some operations to more_thm.ML and conv.ML;
wenzelm
parents:
22695
diff
changeset
|
129 |
let val (cA, cB) = Thm.dest_implies ct |
20579 | 130 |
in cA :: strip_imp_prems cB end |
131 |
handle TERM _ => []; |
|
708
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
lcp
parents:
668
diff
changeset
|
132 |
|
2004
3411fe560611
New operations on cterms. Now same names as in Logic
paulson
parents:
1906
diff
changeset
|
133 |
(* 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
|
134 |
fun strip_imp_concl ct = |
20579 | 135 |
(case Thm.term_of ct of |
136 |
Const ("==>", _) $ _ $ _ => strip_imp_concl (Thm.dest_arg ct) |
|
137 |
| _ => ct); |
|
2004
3411fe560611
New operations on cterms. Now same names as in Logic
paulson
parents:
1906
diff
changeset
|
138 |
|
708
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
lcp
parents:
668
diff
changeset
|
139 |
(*The premises of a theorem, as a cterm list*) |
13659
3cf622f6b0b2
Removed obsolete functions dealing with flex-flex constraints.
berghofe
parents:
13650
diff
changeset
|
140 |
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
|
141 |
|
26627
dac6d56b7c8d
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26487
diff
changeset
|
142 |
fun cterm_fun f ct = Thm.cterm_of (Thm.theory_of_cterm ct) (f (Thm.term_of ct)); |
dac6d56b7c8d
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26487
diff
changeset
|
143 |
fun ctyp_fun f cT = Thm.ctyp_of (Thm.theory_of_ctyp cT) (f (Thm.typ_of cT)); |
15797 | 144 |
|
26487 | 145 |
fun certify t = Thm.cterm_of (Context.the_theory (Context.the_thread_data ())) t; |
9547 | 146 |
|
27333 | 147 |
val implies = certify Logic.implies; |
19183 | 148 |
fun mk_implies (A, B) = Thm.capply (Thm.capply implies A) B; |
9547 | 149 |
|
150 |
(*cterm version of list_implies: [A1,...,An], B goes to [|A1;==>;An|]==>B *) |
|
151 |
fun list_implies([], B) = B |
|
152 |
| list_implies(A::AS, B) = mk_implies (A, list_implies(AS,B)); |
|
153 |
||
15949 | 154 |
(*cterm version of list_comb: maps (f, [t1,...,tn]) to f(t1,...,tn) *) |
155 |
fun list_comb (f, []) = f |
|
156 |
| list_comb (f, t::ts) = list_comb (Thm.capply f t, ts); |
|
157 |
||
12908
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
changeset
|
158 |
(*cterm version of strip_comb: maps f(t1,...,tn) to (f, [t1,...,tn]) *) |
18179 | 159 |
fun strip_comb ct = |
12908
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
changeset
|
160 |
let |
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
changeset
|
161 |
fun stripc (p as (ct, cts)) = |
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
changeset
|
162 |
let val (ct1, ct2) = Thm.dest_comb ct |
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
changeset
|
163 |
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
|
164 |
in stripc (ct, []) end; |
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
changeset
|
165 |
|
15262 | 166 |
(* cterm version of strip_type: maps [T1,...,Tn]--->T to ([T1,T2,...,Tn], T) *) |
167 |
fun strip_type cT = (case Thm.typ_of cT of |
|
168 |
Type ("fun", _) => |
|
169 |
let |
|
170 |
val [cT1, cT2] = Thm.dest_ctyp cT; |
|
171 |
val (cTs, cT') = strip_type cT2 |
|
172 |
in (cT1 :: cTs, cT') end |
|
173 |
| _ => ([], cT)); |
|
174 |
||
15949 | 175 |
(*Beta-conversion for cterms, where x is an abstraction. Simply returns the rhs |
176 |
of the meta-equality returned by the beta_conversion rule.*) |
|
18179 | 177 |
fun beta_conv x y = |
20579 | 178 |
Thm.dest_arg (cprop_of (Thm.beta_conversion false (Thm.capply x y))); |
15949 | 179 |
|
15875 | 180 |
|
708
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
lcp
parents:
668
diff
changeset
|
181 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
182 |
(*** Find the type (sort) associated with a (T)Var or (T)Free in a term |
0 | 183 |
Used for establishing default types (of variables) and sorts (of |
184 |
type variables) when reading another term. |
|
185 |
Index -1 indicates that a (T)Free rather than a (T)Var is wanted. |
|
186 |
***) |
|
187 |
||
188 |
fun types_sorts thm = |
|
20329 | 189 |
let |
22695
17073e9b94f2
moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents:
22681
diff
changeset
|
190 |
val vars = Thm.fold_terms Term.add_vars thm []; |
17073e9b94f2
moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents:
22681
diff
changeset
|
191 |
val frees = Thm.fold_terms Term.add_frees thm []; |
17073e9b94f2
moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents:
22681
diff
changeset
|
192 |
val tvars = Thm.fold_terms Term.add_tvars thm []; |
17073e9b94f2
moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents:
22681
diff
changeset
|
193 |
val tfrees = Thm.fold_terms Term.add_tfrees thm []; |
20329 | 194 |
fun types (a, i) = |
195 |
if i < 0 then AList.lookup (op =) frees a else AList.lookup (op =) vars (a, i); |
|
196 |
fun sorts (a, i) = |
|
197 |
if i < 0 then AList.lookup (op =) tfrees a else AList.lookup (op =) tvars (a, i); |
|
198 |
in (types, sorts) end; |
|
0 | 199 |
|
15669 | 200 |
|
7636 | 201 |
|
9455 | 202 |
|
0 | 203 |
(** Standardization of rules **) |
204 |
||
19730 | 205 |
(*Generalization over a list of variables*) |
36944 | 206 |
val forall_intr_list = fold_rev Thm.forall_intr; |
0 | 207 |
|
18535 | 208 |
(*Generalization over Vars -- canonical order*) |
209 |
fun forall_intr_vars th = |
|
36944 | 210 |
fold Thm.forall_intr |
22695
17073e9b94f2
moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents:
22681
diff
changeset
|
211 |
(map (Thm.cterm_of (Thm.theory_of_thm th) o Var) (Thm.fold_terms Term.add_vars th [])) th; |
18535 | 212 |
|
18025 | 213 |
fun outer_params t = |
20077
4fc9a4fef219
replaced Term.variant(list) by Name.variant(_list);
wenzelm
parents:
19999
diff
changeset
|
214 |
let val vs = Term.strip_all_vars t |
4fc9a4fef219
replaced Term.variant(list) by Name.variant(_list);
wenzelm
parents:
19999
diff
changeset
|
215 |
in Name.variant_list [] (map (Name.clean o #1) vs) ~~ map #2 vs end; |
18025 | 216 |
|
217 |
(*generalize outermost parameters*) |
|
218 |
fun gen_all th = |
|
12719
41e0d086f8b6
improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents:
12710
diff
changeset
|
219 |
let |
26627
dac6d56b7c8d
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26487
diff
changeset
|
220 |
val thy = Thm.theory_of_thm th; |
dac6d56b7c8d
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26487
diff
changeset
|
221 |
val {prop, maxidx, ...} = Thm.rep_thm th; |
18025 | 222 |
val cert = Thm.cterm_of thy; |
223 |
fun elim (x, T) = Thm.forall_elim (cert (Var ((x, maxidx + 1), T))); |
|
224 |
in fold elim (outer_params prop) th end; |
|
225 |
||
226 |
(*lift vars wrt. outermost goal parameters |
|
18118 | 227 |
-- reverses the effect of gen_all modulo higher-order unification*) |
18025 | 228 |
fun lift_all goal th = |
229 |
let |
|
230 |
val thy = Theory.merge (Thm.theory_of_cterm goal, Thm.theory_of_thm th); |
|
231 |
val cert = Thm.cterm_of thy; |
|
19421 | 232 |
val maxidx = Thm.maxidx_of th; |
18025 | 233 |
val ps = outer_params (Thm.term_of goal) |
234 |
|> map (fn (x, T) => Var ((x, maxidx + 1), Logic.incr_tvar (maxidx + 1) T)); |
|
235 |
val Ts = map Term.fastype_of ps; |
|
22695
17073e9b94f2
moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents:
22681
diff
changeset
|
236 |
val inst = Thm.fold_terms Term.add_vars th [] |> map (fn (xi, T) => |
18025 | 237 |
(cert (Var (xi, T)), cert (Term.list_comb (Var (xi, Ts ---> T), ps)))); |
238 |
in |
|
239 |
th |> Thm.instantiate ([], inst) |
|
240 |
|> fold_rev (Thm.forall_intr o cert) ps |
|
241 |
end; |
|
242 |
||
19999 | 243 |
(*direct generalization*) |
244 |
fun generalize names th = Thm.generalize names (Thm.maxidx_of th + 1) th; |
|
9554 | 245 |
|
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
246 |
(*specialization over a list of cterms*) |
36944 | 247 |
val forall_elim_list = fold Thm.forall_elim; |
0 | 248 |
|
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
249 |
(*maps A1,...,An |- B to [| A1;...;An |] ==> B*) |
36944 | 250 |
val implies_intr_list = fold_rev Thm.implies_intr; |
0 | 251 |
|
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
252 |
(*maps [| A1;...;An |] ==> B and [A1,...,An] to B*) |
24978
159b0f4dd1e9
moved Drule.unvarify to Thm.unvarify (cf. more_thm.ML);
wenzelm
parents:
24947
diff
changeset
|
253 |
fun implies_elim_list impth ths = fold Thm.elim_implies ths impth; |
0 | 254 |
|
255 |
(*Reset Var indexes to zero, renaming to preserve distinctness*) |
|
21603 | 256 |
fun zero_var_indexes_list [] = [] |
257 |
| zero_var_indexes_list ths = |
|
258 |
let |
|
259 |
val thy = Theory.merge_list (map Thm.theory_of_thm ths); |
|
260 |
val certT = Thm.ctyp_of thy and cert = Thm.cterm_of thy; |
|
31977 | 261 |
val (instT, inst) = Term_Subst.zero_var_indexes_inst (map Thm.full_prop_of ths); |
21603 | 262 |
val cinstT = map (fn (v, T) => (certT (TVar v), certT T)) instT; |
263 |
val cinst = map (fn (v, t) => (cert (Var v), cert t)) inst; |
|
264 |
in map (Thm.adjust_maxidx_thm ~1 o Thm.instantiate (cinstT, cinst)) ths end; |
|
265 |
||
266 |
val zero_var_indexes = singleton zero_var_indexes_list; |
|
0 | 267 |
|
268 |
||
14394 | 269 |
(** Standard form of object-rule: no hypotheses, flexflex constraints, |
270 |
Frees, or outer quantifiers; all generality expressed by Vars of index 0.**) |
|
10515 | 271 |
|
16595 | 272 |
(*Discharge all hypotheses.*) |
273 |
fun implies_intr_hyps th = |
|
274 |
fold Thm.implies_intr (#hyps (Thm.crep_thm th)) th; |
|
275 |
||
14394 | 276 |
(*Squash a theorem's flexflex constraints provided it can be done uniquely. |
277 |
This step can lose information.*) |
|
14387
e96d5c42c4b0
Polymorphic treatment of binary arithmetic using axclasses
paulson
parents:
14340
diff
changeset
|
278 |
fun flexflex_unique th = |
38709 | 279 |
if null (Thm.tpairs_of th) then th else |
36944 | 280 |
case distinct Thm.eq_thm (Seq.list_of (Thm.flexflex_rule th)) of |
23439 | 281 |
[th] => th |
282 |
| [] => raise THM("flexflex_unique: impossible constraints", 0, [th]) |
|
283 |
| _ => raise THM("flexflex_unique: multiple unifiers", 0, [th]); |
|
14387
e96d5c42c4b0
Polymorphic treatment of binary arithmetic using axclasses
paulson
parents:
14340
diff
changeset
|
284 |
|
21603 | 285 |
|
35021
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
286 |
(* old-style export without context *) |
21603 | 287 |
|
35021
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
288 |
val export_without_context_open = |
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
289 |
implies_intr_hyps |
35985
0bbf0d2348f9
moved Drule.forall_intr_frees to Thm.forall_intr_frees (in more_thm.ML, which is loaded before pure_thy.ML);
wenzelm
parents:
35897
diff
changeset
|
290 |
#> Thm.forall_intr_frees |
19421 | 291 |
#> `Thm.maxidx_of |
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
292 |
#-> (fn maxidx => |
26653 | 293 |
Thm.forall_elim_vars (maxidx + 1) |
20904 | 294 |
#> Thm.strip_shyps |
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
295 |
#> zero_var_indexes |
35845
e5980f0ad025
renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents:
35237
diff
changeset
|
296 |
#> Thm.varifyT_global); |
1218
59ed8ef1a3a1
modified pretty_thm, standard, eq_thm to handle shyps;
wenzelm
parents:
1194
diff
changeset
|
297 |
|
35021
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
298 |
val export_without_context = |
21600
222810ce6b05
*** bad commit -- reverted to previous version ***
wenzelm
parents:
21596
diff
changeset
|
299 |
flexflex_unique |
35021
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
300 |
#> export_without_context_open |
26627
dac6d56b7c8d
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26487
diff
changeset
|
301 |
#> Thm.close_derivation; |
11512
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
302 |
|
0 | 303 |
|
8328 | 304 |
(*Convert all Vars in a theorem to Frees. Also return a function for |
44117
88a5a8f44d15
avoid OldTerm operations -- with subtle changes of semantics;
wenzelm
parents:
43559
diff
changeset
|
305 |
reversing that operation. DOES NOT WORK FOR TYPE VARIABLES.*) |
15495
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
306 |
|
33832 | 307 |
fun legacy_freeze_thaw_robust th = |
36615
88756a5a92fc
renamed Thm.freezeT to Thm.legacy_freezeT -- it is based on Type.legacy_freeze;
wenzelm
parents:
36330
diff
changeset
|
308 |
let val fth = Thm.legacy_freezeT th |
26627
dac6d56b7c8d
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26487
diff
changeset
|
309 |
val thy = Thm.theory_of_thm fth |
15495
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
310 |
in |
44117
88a5a8f44d15
avoid OldTerm operations -- with subtle changes of semantics;
wenzelm
parents:
43559
diff
changeset
|
311 |
case Thm.fold_terms Term.add_vars fth [] of |
15495
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
312 |
[] => (fth, fn i => fn x => x) (*No vars: nothing to do!*) |
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
313 |
| vars => |
44117
88a5a8f44d15
avoid OldTerm operations -- with subtle changes of semantics;
wenzelm
parents:
43559
diff
changeset
|
314 |
let fun newName (ix,_) = (ix, legacy_gensym (string_of_indexname ix)) |
19753 | 315 |
val alist = map newName vars |
44117
88a5a8f44d15
avoid OldTerm operations -- with subtle changes of semantics;
wenzelm
parents:
43559
diff
changeset
|
316 |
fun mk_inst (v,T) = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
317 |
(cterm_of thy (Var(v,T)), |
17325 | 318 |
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
|
319 |
val insts = map mk_inst vars |
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
320 |
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
|
321 |
th' |> forall_intr_list (map #2 insts) |
22906
195b7515911a
moved some operations to more_thm.ML and conv.ML;
wenzelm
parents:
22695
diff
changeset
|
322 |
|> forall_elim_list (map (Thm.incr_indexes_cterm i o #1) insts) |
15495
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
323 |
in (Thm.instantiate ([],insts) fth, thaw) end |
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
324 |
end; |
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
325 |
|
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
326 |
(*Basic version of the function above. No option to rename Vars apart in thaw. |
33832 | 327 |
The Frees created from Vars have nice names.*) |
328 |
fun legacy_freeze_thaw th = |
|
36615
88756a5a92fc
renamed Thm.freezeT to Thm.legacy_freezeT -- it is based on Type.legacy_freeze;
wenzelm
parents:
36330
diff
changeset
|
329 |
let val fth = Thm.legacy_freezeT th |
26627
dac6d56b7c8d
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26487
diff
changeset
|
330 |
val thy = Thm.theory_of_thm fth |
7248
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
331 |
in |
44117
88a5a8f44d15
avoid OldTerm operations -- with subtle changes of semantics;
wenzelm
parents:
43559
diff
changeset
|
332 |
case Thm.fold_terms Term.add_vars fth [] of |
7248
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
333 |
[] => (fth, fn x => x) |
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
334 |
| vars => |
44117
88a5a8f44d15
avoid OldTerm operations -- with subtle changes of semantics;
wenzelm
parents:
43559
diff
changeset
|
335 |
let fun newName (ix, _) (pairs, used) = |
43324
2b47822868e4
discontinued Name.variant to emphasize that this is old-style / indirect;
wenzelm
parents:
42471
diff
changeset
|
336 |
let val v = singleton (Name.variant_list used) (string_of_indexname ix) |
8328 | 337 |
in ((ix,v)::pairs, v::used) end; |
44117
88a5a8f44d15
avoid OldTerm operations -- with subtle changes of semantics;
wenzelm
parents:
43559
diff
changeset
|
338 |
val (alist, _) = |
88a5a8f44d15
avoid OldTerm operations -- with subtle changes of semantics;
wenzelm
parents:
43559
diff
changeset
|
339 |
fold_rev newName vars ([], Thm.fold_terms Term.add_free_names fth []) |
88a5a8f44d15
avoid OldTerm operations -- with subtle changes of semantics;
wenzelm
parents:
43559
diff
changeset
|
340 |
fun mk_inst (v, T) = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
341 |
(cterm_of thy (Var(v,T)), |
17325 | 342 |
cterm_of thy (Free(((the o AList.lookup (op =) alist) v), T))) |
8328 | 343 |
val insts = map mk_inst vars |
344 |
fun thaw th' = |
|
345 |
th' |> forall_intr_list (map #2 insts) |
|
346 |
|> forall_elim_list (map #1 insts) |
|
347 |
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
|
348 |
end; |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
349 |
|
7248
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
350 |
(*Rotates a rule's premises to the left by k*) |
23537 | 351 |
fun rotate_prems 0 = I |
31945 | 352 |
| rotate_prems k = Thm.permute_prems 0 k; |
23537 | 353 |
|
23423 | 354 |
fun with_subgoal i f = rotate_prems (i - 1) #> f #> rotate_prems (1 - i); |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
355 |
|
31945 | 356 |
(*Permute prems, where the i-th position in the argument list (counting from 0) |
357 |
gives the position within the original thm to be transferred to position i. |
|
358 |
Any remaining trailing positions are left unchanged.*) |
|
359 |
val rearrange_prems = |
|
360 |
let |
|
361 |
fun rearr new [] thm = thm |
|
362 |
| rearr new (p :: ps) thm = |
|
363 |
rearr (new + 1) |
|
364 |
(map (fn q => if new <= q andalso q < p then q + 1 else q) ps) |
|
365 |
(Thm.permute_prems (new + 1) (new - p) (Thm.permute_prems new (p - new) thm)) |
|
11163 | 366 |
in rearr 0 end; |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
367 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
368 |
(*Resolution: exactly one resolvent must be produced.*) |
0 | 369 |
fun tha RSN (i,thb) = |
31945 | 370 |
case Seq.chop 2 (Thm.biresolution false [(false,tha)] i thb) of |
0 | 371 |
([th],_) => th |
372 |
| ([],_) => raise THM("RSN: no unifiers", i, [tha,thb]) |
|
373 |
| _ => raise THM("RSN: multiple unifiers", i, [tha,thb]); |
|
374 |
||
375 |
(*resolution: P==>Q, Q==>R gives P==>R. *) |
|
376 |
fun tha RS thb = tha RSN (1,thb); |
|
377 |
||
378 |
(*For joining lists of rules*) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
379 |
fun thas RLN (i,thbs) = |
31945 | 380 |
let val resolve = Thm.biresolution false (map (pair false) thas) i |
4270 | 381 |
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
|
382 |
in maps resb thbs end; |
0 | 383 |
|
384 |
fun thas RL thbs = thas RLN (1,thbs); |
|
385 |
||
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
386 |
(*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
|
387 |
makes proof trees*) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
388 |
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
|
389 |
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
|
390 |
| 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
|
391 |
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
|
392 |
|
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
393 |
(*As above, but for rule lists*) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
394 |
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
|
395 |
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
|
396 |
| 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
|
397 |
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
|
398 |
|
9288
06a55195741b
infix 'OF' is a version of 'MRS' with more appropriate argument order;
wenzelm
parents:
8605
diff
changeset
|
399 |
(*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
|
400 |
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
|
401 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
402 |
(*compose Q and [...,Qi,Q(i+1),...]==>R to [...,Q(i+1),...]==>R |
0 | 403 |
with no lifting or renaming! Q may contain ==> or meta-quants |
404 |
ALWAYS deletes premise i *) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
405 |
fun compose(tha,i,thb) = |
31945 | 406 |
distinct Thm.eq_thm (Seq.list_of (Thm.bicompose false (false,tha,0) i thb)); |
0 | 407 |
|
6946 | 408 |
fun compose_single (tha,i,thb) = |
24426 | 409 |
case compose (tha,i,thb) of |
6946 | 410 |
[th] => th |
24426 | 411 |
| _ => raise THM ("compose: unique result expected", i, [tha,thb]); |
6946 | 412 |
|
0 | 413 |
(*compose Q and [Q1,Q2,...,Qk]==>R to [Q2,...,Qk]==>R getting unique result*) |
414 |
fun tha COMP thb = |
|
24426 | 415 |
case compose(tha,1,thb) of |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
416 |
[th] => th |
0 | 417 |
| _ => raise THM("COMP", 1, [tha,thb]); |
418 |
||
13105
3d1e7a199bdc
use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents:
12908
diff
changeset
|
419 |
|
4016 | 420 |
(** theorem equality **) |
0 | 421 |
|
422 |
(*Useful "distance" function for BEST_FIRST*) |
|
16720 | 423 |
val size_of_thm = size_of_term o Thm.full_prop_of; |
0 | 424 |
|
1194
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
425 |
|
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
426 |
|
0 | 427 |
(*** Meta-Rewriting Rules ***) |
428 |
||
33384 | 429 |
val read_prop = certify o Simple_Syntax.read_prop; |
26487 | 430 |
|
431 |
fun store_thm name th = |
|
39557
fe5722fce758
renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents:
38709
diff
changeset
|
432 |
Context.>>> (Context.map_theory_result (Global_Theory.store_thm (name, th))); |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
433 |
|
26487 | 434 |
fun store_thm_open name th = |
39557
fe5722fce758
renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents:
38709
diff
changeset
|
435 |
Context.>>> (Context.map_theory_result (Global_Theory.store_thm_open (name, th))); |
26487 | 436 |
|
35021
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
437 |
fun store_standard_thm name th = store_thm name (export_without_context th); |
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
438 |
fun store_standard_thm_open name thm = store_thm_open name (export_without_context_open thm); |
4016 | 439 |
|
0 | 440 |
val reflexive_thm = |
26487 | 441 |
let val cx = certify (Var(("x",0),TVar(("'a",0),[]))) |
33277 | 442 |
in store_standard_thm_open (Binding.name "reflexive") (Thm.reflexive cx) end; |
0 | 443 |
|
444 |
val symmetric_thm = |
|
33277 | 445 |
let |
446 |
val xy = read_prop "x::'a == y::'a"; |
|
447 |
val thm = Thm.implies_intr xy (Thm.symmetric (Thm.assume xy)); |
|
448 |
in store_standard_thm_open (Binding.name "symmetric") thm end; |
|
0 | 449 |
|
450 |
val transitive_thm = |
|
33277 | 451 |
let |
452 |
val xy = read_prop "x::'a == y::'a"; |
|
453 |
val yz = read_prop "y::'a == z::'a"; |
|
454 |
val xythm = Thm.assume xy; |
|
455 |
val yzthm = Thm.assume yz; |
|
456 |
val thm = Thm.implies_intr yz (Thm.transitive xythm yzthm); |
|
457 |
in store_standard_thm_open (Binding.name "transitive") thm end; |
|
0 | 458 |
|
4679 | 459 |
fun symmetric_fun thm = thm RS symmetric_thm; |
460 |
||
11512
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
461 |
fun extensional eq = |
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
462 |
let val eq' = |
36944 | 463 |
Thm.abstract_rule "x" (Thm.dest_arg (fst (Thm.dest_equals (cprop_of eq)))) eq |
464 |
in Thm.equal_elim (Thm.eta_conversion (cprop_of eq')) eq' end; |
|
11512
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
465 |
|
18820 | 466 |
val equals_cong = |
33277 | 467 |
store_standard_thm_open (Binding.name "equals_cong") |
468 |
(Thm.reflexive (read_prop "x::'a == y::'a")); |
|
18820 | 469 |
|
10414 | 470 |
val imp_cong = |
471 |
let |
|
24241 | 472 |
val ABC = read_prop "A ==> B::prop == C::prop" |
473 |
val AB = read_prop "A ==> B" |
|
474 |
val AC = read_prop "A ==> C" |
|
475 |
val A = read_prop "A" |
|
10414 | 476 |
in |
36944 | 477 |
store_standard_thm_open (Binding.name "imp_cong") (Thm.implies_intr ABC (Thm.equal_intr |
478 |
(Thm.implies_intr AB (Thm.implies_intr A |
|
479 |
(Thm.equal_elim (Thm.implies_elim (Thm.assume ABC) (Thm.assume A)) |
|
480 |
(Thm.implies_elim (Thm.assume AB) (Thm.assume A))))) |
|
481 |
(Thm.implies_intr AC (Thm.implies_intr A |
|
482 |
(Thm.equal_elim (Thm.symmetric (Thm.implies_elim (Thm.assume ABC) (Thm.assume A))) |
|
483 |
(Thm.implies_elim (Thm.assume AC) (Thm.assume A))))))) |
|
10414 | 484 |
end; |
485 |
||
486 |
val swap_prems_eq = |
|
487 |
let |
|
24241 | 488 |
val ABC = read_prop "A ==> B ==> C" |
489 |
val BAC = read_prop "B ==> A ==> C" |
|
490 |
val A = read_prop "A" |
|
491 |
val B = read_prop "B" |
|
10414 | 492 |
in |
33277 | 493 |
store_standard_thm_open (Binding.name "swap_prems_eq") |
36944 | 494 |
(Thm.equal_intr |
495 |
(Thm.implies_intr ABC (Thm.implies_intr B (Thm.implies_intr A |
|
496 |
(Thm.implies_elim (Thm.implies_elim (Thm.assume ABC) (Thm.assume A)) (Thm.assume B))))) |
|
497 |
(Thm.implies_intr BAC (Thm.implies_intr A (Thm.implies_intr B |
|
498 |
(Thm.implies_elim (Thm.implies_elim (Thm.assume BAC) (Thm.assume B)) (Thm.assume A)))))) |
|
10414 | 499 |
end; |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
500 |
|
22938 | 501 |
val imp_cong_rule = Thm.combination o Thm.combination (Thm.reflexive implies); |
502 |
||
23537 | 503 |
fun arg_cong_rule ct th = Thm.combination (Thm.reflexive ct) th; (*AP_TERM in LCF/HOL*) |
504 |
fun fun_cong_rule th ct = Thm.combination th (Thm.reflexive ct); (*AP_THM in LCF/HOL*) |
|
23568 | 505 |
fun binop_cong_rule ct th1 th2 = Thm.combination (arg_cong_rule ct th1) th2; |
0 | 506 |
|
15001
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
507 |
local |
22906
195b7515911a
moved some operations to more_thm.ML and conv.ML;
wenzelm
parents:
22695
diff
changeset
|
508 |
val dest_eq = Thm.dest_equals o cprop_of |
15001
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
509 |
val rhs_of = snd o dest_eq |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
510 |
in |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
511 |
fun beta_eta_conversion t = |
36944 | 512 |
let val thm = Thm.beta_conversion true t |
513 |
in Thm.transitive thm (Thm.eta_conversion (rhs_of thm)) end |
|
15001
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
514 |
end; |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
515 |
|
36944 | 516 |
fun eta_long_conversion ct = |
517 |
Thm.transitive |
|
518 |
(beta_eta_conversion ct) |
|
519 |
(Thm.symmetric (beta_eta_conversion (cterm_fun (Pattern.eta_long []) ct))); |
|
15925 | 520 |
|
20861 | 521 |
(*Contract all eta-redexes in the theorem, lest they give rise to needless abstractions*) |
522 |
fun eta_contraction_rule th = |
|
36944 | 523 |
Thm.equal_elim (Thm.eta_conversion (cprop_of th)) th; |
20861 | 524 |
|
24947
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
525 |
|
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
526 |
(* abs_def *) |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
527 |
|
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
528 |
(* |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
529 |
f ?x1 ... ?xn == u |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
530 |
-------------------- |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
531 |
f == %x1 ... xn. u |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
532 |
*) |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
533 |
|
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
534 |
local |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
535 |
|
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
536 |
fun contract_lhs th = |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
537 |
Thm.transitive (Thm.symmetric (beta_eta_conversion |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
538 |
(fst (Thm.dest_equals (cprop_of th))))) th; |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
539 |
|
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
540 |
fun var_args ct = |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
541 |
(case try Thm.dest_comb ct of |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
542 |
SOME (f, arg) => |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
543 |
(case Thm.term_of arg of |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
544 |
Var ((x, _), _) => update (eq_snd (op aconvc)) (x, arg) (var_args f) |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
545 |
| _ => []) |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
546 |
| NONE => []); |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
547 |
|
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
548 |
in |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
549 |
|
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
550 |
fun abs_def th = |
18337 | 551 |
let |
24947
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
552 |
val th' = contract_lhs th; |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
553 |
val args = var_args (Thm.lhs_of th'); |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
554 |
in contract_lhs (fold (uncurry Thm.abstract_rule) args th') end; |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
555 |
|
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
556 |
end; |
b7e990e1706a
improved abs_def: only abstract over outermost (unique) Vars;
wenzelm
parents:
24848
diff
changeset
|
557 |
|
18337 | 558 |
|
18468 | 559 |
|
15669 | 560 |
(*** Some useful meta-theorems ***) |
0 | 561 |
|
562 |
(*The rule V/V, obtains assumption solving for eresolve_tac*) |
|
33277 | 563 |
val asm_rl = store_standard_thm_open (Binding.name "asm_rl") (Thm.trivial (read_prop "?psi")); |
0 | 564 |
|
565 |
(*Meta-level cut rule: [| V==>W; V |] ==> W *) |
|
4016 | 566 |
val cut_rl = |
33277 | 567 |
store_standard_thm_open (Binding.name "cut_rl") |
24241 | 568 |
(Thm.trivial (read_prop "?psi ==> ?theta")); |
0 | 569 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
570 |
(*Generalized elim rule for one conclusion; cut_rl with reversed premises: |
0 | 571 |
[| PROP V; PROP V ==> PROP W |] ==> PROP W *) |
572 |
val revcut_rl = |
|
33277 | 573 |
let |
574 |
val V = read_prop "V"; |
|
575 |
val VW = read_prop "V ==> W"; |
|
4016 | 576 |
in |
33277 | 577 |
store_standard_thm_open (Binding.name "revcut_rl") |
36944 | 578 |
(Thm.implies_intr V (Thm.implies_intr VW (Thm.implies_elim (Thm.assume VW) (Thm.assume V)))) |
0 | 579 |
end; |
580 |
||
668 | 581 |
(*for deleting an unwanted assumption*) |
582 |
val thin_rl = |
|
33277 | 583 |
let |
584 |
val V = read_prop "V"; |
|
585 |
val W = read_prop "W"; |
|
36944 | 586 |
val thm = Thm.implies_intr V (Thm.implies_intr W (Thm.assume W)); |
33277 | 587 |
in store_standard_thm_open (Binding.name "thin_rl") thm end; |
668 | 588 |
|
0 | 589 |
(* (!!x. PROP ?V) == PROP ?V Allows removal of redundant parameters*) |
590 |
val triv_forall_equality = |
|
33277 | 591 |
let |
592 |
val V = read_prop "V"; |
|
593 |
val QV = read_prop "!!x::'a. V"; |
|
594 |
val x = certify (Free ("x", Term.aT [])); |
|
4016 | 595 |
in |
33277 | 596 |
store_standard_thm_open (Binding.name "triv_forall_equality") |
36944 | 597 |
(Thm.equal_intr (Thm.implies_intr QV (Thm.forall_elim x (Thm.assume QV))) |
598 |
(Thm.implies_intr V (Thm.forall_intr x (Thm.assume V)))) |
|
0 | 599 |
end; |
600 |
||
19051 | 601 |
(* (PROP ?Phi ==> PROP ?Phi ==> PROP ?Psi) ==> |
602 |
(PROP ?Phi ==> PROP ?Psi) |
|
603 |
*) |
|
604 |
val distinct_prems_rl = |
|
605 |
let |
|
33277 | 606 |
val AAB = read_prop "Phi ==> Phi ==> Psi"; |
24241 | 607 |
val A = read_prop "Phi"; |
19051 | 608 |
in |
33277 | 609 |
store_standard_thm_open (Binding.name "distinct_prems_rl") |
36944 | 610 |
(implies_intr_list [AAB, A] (implies_elim_list (Thm.assume AAB) [Thm.assume A, Thm.assume A])) |
19051 | 611 |
end; |
612 |
||
1756 | 613 |
(* (PROP ?PhiA ==> PROP ?PhiB ==> PROP ?Psi) ==> |
614 |
(PROP ?PhiB ==> PROP ?PhiA ==> PROP ?Psi) |
|
615 |
`thm COMP swap_prems_rl' swaps the first two premises of `thm' |
|
616 |
*) |
|
617 |
val swap_prems_rl = |
|
33277 | 618 |
let |
619 |
val cmajor = read_prop "PhiA ==> PhiB ==> Psi"; |
|
36944 | 620 |
val major = Thm.assume cmajor; |
33277 | 621 |
val cminor1 = read_prop "PhiA"; |
36944 | 622 |
val minor1 = Thm.assume cminor1; |
33277 | 623 |
val cminor2 = read_prop "PhiB"; |
36944 | 624 |
val minor2 = Thm.assume cminor2; |
33277 | 625 |
in |
626 |
store_standard_thm_open (Binding.name "swap_prems_rl") |
|
36944 | 627 |
(Thm.implies_intr cmajor (Thm.implies_intr cminor2 (Thm.implies_intr cminor1 |
628 |
(Thm.implies_elim (Thm.implies_elim major minor1) minor2)))) |
|
1756 | 629 |
end; |
630 |
||
3653 | 631 |
(* [| PROP ?phi ==> PROP ?psi; PROP ?psi ==> PROP ?phi |] |
632 |
==> PROP ?phi == PROP ?psi |
|
8328 | 633 |
Introduction rule for == as a meta-theorem. |
3653 | 634 |
*) |
635 |
val equal_intr_rule = |
|
33277 | 636 |
let |
637 |
val PQ = read_prop "phi ==> psi"; |
|
638 |
val QP = read_prop "psi ==> phi"; |
|
4016 | 639 |
in |
33277 | 640 |
store_standard_thm_open (Binding.name "equal_intr_rule") |
36944 | 641 |
(Thm.implies_intr PQ (Thm.implies_intr QP (Thm.equal_intr (Thm.assume PQ) (Thm.assume QP)))) |
3653 | 642 |
end; |
643 |
||
19421 | 644 |
(* PROP ?phi == PROP ?psi ==> PROP ?phi ==> PROP ?psi *) |
13368 | 645 |
val equal_elim_rule1 = |
33277 | 646 |
let |
647 |
val eq = read_prop "phi::prop == psi::prop"; |
|
648 |
val P = read_prop "phi"; |
|
649 |
in |
|
650 |
store_standard_thm_open (Binding.name "equal_elim_rule1") |
|
36944 | 651 |
(Thm.equal_elim (Thm.assume eq) (Thm.assume P) |> implies_intr_list [eq, P]) |
13368 | 652 |
end; |
4285 | 653 |
|
19421 | 654 |
(* PROP ?psi == PROP ?phi ==> PROP ?phi ==> PROP ?psi *) |
655 |
val equal_elim_rule2 = |
|
33277 | 656 |
store_standard_thm_open (Binding.name "equal_elim_rule2") |
657 |
(symmetric_thm RS equal_elim_rule1); |
|
19421 | 658 |
|
28618
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
659 |
(* PROP ?phi ==> PROP ?phi ==> PROP ?psi ==> PROP ?psi *) |
12297 | 660 |
val remdups_rl = |
33277 | 661 |
let |
662 |
val P = read_prop "phi"; |
|
663 |
val Q = read_prop "psi"; |
|
664 |
val thm = implies_intr_list [P, P, Q] (Thm.assume Q); |
|
665 |
in store_standard_thm_open (Binding.name "remdups_rl") thm end; |
|
12297 | 666 |
|
667 |
||
28618
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
668 |
|
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
669 |
(** embedded terms and types **) |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
670 |
|
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
671 |
local |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
672 |
val A = certify (Free ("A", propT)); |
35845
e5980f0ad025
renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents:
35237
diff
changeset
|
673 |
val axiom = Thm.unvarify_global o Thm.axiom (Context.the_theory (Context.the_thread_data ())); |
28674 | 674 |
val prop_def = axiom "Pure.prop_def"; |
675 |
val term_def = axiom "Pure.term_def"; |
|
676 |
val sort_constraint_def = axiom "Pure.sort_constraint_def"; |
|
28618
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
677 |
val C = Thm.lhs_of sort_constraint_def; |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
678 |
val T = Thm.dest_arg C; |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
679 |
val CA = mk_implies (C, A); |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
680 |
in |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
681 |
|
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
682 |
(* protect *) |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
683 |
|
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
684 |
val protect = Thm.capply (certify Logic.protectC); |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
685 |
|
33277 | 686 |
val protectI = |
35021
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
687 |
store_standard_thm (Binding.conceal (Binding.name "protectI")) |
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
688 |
(Thm.equal_elim (Thm.symmetric prop_def) (Thm.assume A)); |
28618
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
689 |
|
33277 | 690 |
val protectD = |
35021
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
691 |
store_standard_thm (Binding.conceal (Binding.name "protectD")) |
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
692 |
(Thm.equal_elim prop_def (Thm.assume (protect A))); |
28618
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
693 |
|
33277 | 694 |
val protect_cong = |
695 |
store_standard_thm_open (Binding.name "protect_cong") (Thm.reflexive (protect A)); |
|
28618
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
696 |
|
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
697 |
fun implies_intr_protected asms th = |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
698 |
let val asms' = map protect asms in |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
699 |
implies_elim_list |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
700 |
(implies_intr_list asms th) |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
701 |
(map (fn asm' => Thm.assume asm' RS protectD) asms') |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
702 |
|> implies_intr_list asms' |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
703 |
end; |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
704 |
|
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
705 |
|
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
706 |
(* term *) |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
707 |
|
33277 | 708 |
val termI = |
35021
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
709 |
store_standard_thm (Binding.conceal (Binding.name "termI")) |
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
710 |
(Thm.equal_elim (Thm.symmetric term_def) (Thm.forall_intr A (Thm.trivial A))); |
9554 | 711 |
|
28618
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
712 |
fun mk_term ct = |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
713 |
let |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
714 |
val thy = Thm.theory_of_cterm ct; |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
715 |
val cert = Thm.cterm_of thy; |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
716 |
val certT = Thm.ctyp_of thy; |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
717 |
val T = Thm.typ_of (Thm.ctyp_of_term ct); |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
718 |
val a = certT (TVar (("'a", 0), [])); |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
719 |
val x = cert (Var (("x", 0), T)); |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
720 |
in Thm.instantiate ([(a, certT T)], [(x, ct)]) termI end; |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
721 |
|
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
722 |
fun dest_term th = |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
723 |
let val cprop = strip_imp_concl (Thm.cprop_of th) in |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
724 |
if can Logic.dest_term (Thm.term_of cprop) then |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
725 |
Thm.dest_arg cprop |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
726 |
else raise THM ("dest_term", 0, [th]) |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
727 |
end; |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
728 |
|
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
729 |
fun cterm_rule f = dest_term o f o mk_term; |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
730 |
fun term_rule thy f t = Thm.term_of (cterm_rule f (Thm.cterm_of thy t)); |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
731 |
|
45156 | 732 |
val dummy_thm = mk_term (certify Term.dummy_prop); |
28618
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
733 |
|
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
734 |
|
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
735 |
(* sort_constraint *) |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
736 |
|
33277 | 737 |
val sort_constraintI = |
35021
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
738 |
store_standard_thm (Binding.conceal (Binding.name "sort_constraintI")) |
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
739 |
(Thm.equal_elim (Thm.symmetric sort_constraint_def) (mk_term T)); |
28618
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
740 |
|
33277 | 741 |
val sort_constraint_eq = |
35021
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
742 |
store_standard_thm (Binding.conceal (Binding.name "sort_constraint_eq")) |
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
743 |
(Thm.equal_intr |
35845
e5980f0ad025
renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents:
35237
diff
changeset
|
744 |
(Thm.implies_intr CA (Thm.implies_elim (Thm.assume CA) |
e5980f0ad025
renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents:
35237
diff
changeset
|
745 |
(Thm.unvarify_global sort_constraintI))) |
35021
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
746 |
(implies_intr_list [A, C] (Thm.assume A))); |
28618
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
747 |
|
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
748 |
end; |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
749 |
|
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
750 |
|
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
751 |
(* HHF normalization *) |
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
752 |
|
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
753 |
(* (PROP ?phi ==> (!!x. PROP ?psi(x))) == (!!x. PROP ?phi ==> PROP ?psi(x)) *) |
9554 | 754 |
val norm_hhf_eq = |
755 |
let |
|
14854 | 756 |
val aT = TFree ("'a", []); |
9554 | 757 |
val all = Term.all aT; |
758 |
val x = Free ("x", aT); |
|
759 |
val phi = Free ("phi", propT); |
|
760 |
val psi = Free ("psi", aT --> propT); |
|
761 |
||
26487 | 762 |
val cx = certify x; |
763 |
val cphi = certify phi; |
|
764 |
val lhs = certify (Logic.mk_implies (phi, all $ Abs ("x", aT, psi $ Bound 0))); |
|
765 |
val rhs = certify (all $ Abs ("x", aT, Logic.mk_implies (phi, psi $ Bound 0))); |
|
9554 | 766 |
in |
767 |
Thm.equal_intr |
|
768 |
(Thm.implies_elim (Thm.assume lhs) (Thm.assume cphi) |
|
769 |
|> Thm.forall_elim cx |
|
770 |
|> Thm.implies_intr cphi |
|
771 |
|> Thm.forall_intr cx |
|
772 |
|> Thm.implies_intr lhs) |
|
773 |
(Thm.implies_elim |
|
774 |
(Thm.assume rhs |> Thm.forall_elim cx) (Thm.assume cphi) |
|
775 |
|> Thm.forall_intr cx |
|
776 |
|> Thm.implies_intr cphi |
|
777 |
|> Thm.implies_intr rhs) |
|
33277 | 778 |
|> store_standard_thm_open (Binding.name "norm_hhf_eq") |
9554 | 779 |
end; |
780 |
||
18179 | 781 |
val norm_hhf_prop = Logic.dest_equals (Thm.prop_of norm_hhf_eq); |
28618
fa09f7b8ffca
added rules for sort_constraint, include in norm_hhf_eqs;
wenzelm
parents:
27865
diff
changeset
|
782 |
val norm_hhf_eqs = [norm_hhf_eq, sort_constraint_eq]; |
18179 | 783 |
|
30553
0709fda91b06
refined is_norm_hhf: reject beta-redexes (rules based on term nets or could_unify assume normal form), also potentially faster by avoiding expensive Envir.beta_eta_contract;
wenzelm
parents:
30342
diff
changeset
|
784 |
fun is_norm_hhf (Const ("Pure.sort_constraint", _)) = false |
0709fda91b06
refined is_norm_hhf: reject beta-redexes (rules based on term nets or could_unify assume normal form), also potentially faster by avoiding expensive Envir.beta_eta_contract;
wenzelm
parents:
30342
diff
changeset
|
785 |
| is_norm_hhf (Const ("==>", _) $ _ $ (Const ("all", _) $ _)) = false |
0709fda91b06
refined is_norm_hhf: reject beta-redexes (rules based on term nets or could_unify assume normal form), also potentially faster by avoiding expensive Envir.beta_eta_contract;
wenzelm
parents:
30342
diff
changeset
|
786 |
| is_norm_hhf (Abs _ $ _) = false |
0709fda91b06
refined is_norm_hhf: reject beta-redexes (rules based on term nets or could_unify assume normal form), also potentially faster by avoiding expensive Envir.beta_eta_contract;
wenzelm
parents:
30342
diff
changeset
|
787 |
| is_norm_hhf (t $ u) = is_norm_hhf t andalso is_norm_hhf u |
0709fda91b06
refined is_norm_hhf: reject beta-redexes (rules based on term nets or could_unify assume normal form), also potentially faster by avoiding expensive Envir.beta_eta_contract;
wenzelm
parents:
30342
diff
changeset
|
788 |
| is_norm_hhf (Abs (_, _, t)) = is_norm_hhf t |
0709fda91b06
refined is_norm_hhf: reject beta-redexes (rules based on term nets or could_unify assume normal form), also potentially faster by avoiding expensive Envir.beta_eta_contract;
wenzelm
parents:
30342
diff
changeset
|
789 |
| is_norm_hhf _ = true; |
12800 | 790 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
791 |
fun norm_hhf thy t = |
12800 | 792 |
if is_norm_hhf t then t |
18179 | 793 |
else Pattern.rewrite_term thy [norm_hhf_prop] [] t; |
794 |
||
20298 | 795 |
fun norm_hhf_cterm ct = |
796 |
if is_norm_hhf (Thm.term_of ct) then ct |
|
797 |
else cterm_fun (Pattern.rewrite_term (Thm.theory_of_cterm ct) [norm_hhf_prop] []) ct; |
|
798 |
||
12800 | 799 |
|
21603 | 800 |
(* var indexes *) |
801 |
||
802 |
fun incr_indexes th = Thm.incr_indexes (Thm.maxidx_of th + 1); |
|
803 |
||
804 |
fun incr_indexes2 th1 th2 = |
|
805 |
Thm.incr_indexes (Int.max (Thm.maxidx_of th1, Thm.maxidx_of th2) + 1); |
|
806 |
||
807 |
fun th1 INCR_COMP th2 = incr_indexes th2 th1 COMP th2; |
|
808 |
fun th1 COMP_INCR th2 = th1 COMP incr_indexes th1 th2; |
|
809 |
||
29344 | 810 |
fun comp_no_flatten (th, n) i rule = |
811 |
(case distinct Thm.eq_thm (Seq.list_of |
|
812 |
(Thm.compose_no_flatten false (th, n) i (incr_indexes th rule))) of |
|
813 |
[th'] => th' |
|
814 |
| [] => raise THM ("comp_no_flatten", i, [th, rule]) |
|
815 |
| _ => raise THM ("comp_no_flatten: unique result expected", i, [th, rule])); |
|
816 |
||
817 |
||
9554 | 818 |
|
45348
6976920b709c
tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents:
45347
diff
changeset
|
819 |
(** variations on Thm.instantiate **) |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
820 |
|
43333
2bdec7f430d3
renamed Drule.instantiate to Drule.instantiate_normalize to emphasize its meaning as opposed to plain Thm.instantiate;
wenzelm
parents:
43330
diff
changeset
|
821 |
fun instantiate_normalize instpair th = |
21603 | 822 |
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
|
823 |
|
45347 | 824 |
(*Left-to-right replacements: tpairs = [..., (vi, ti), ...]. |
825 |
Instantiates distinct Vars by terms, inferring type instantiations.*) |
|
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
826 |
local |
45347 | 827 |
fun add_types (ct, cu) (thy, tye, maxidx) = |
26627
dac6d56b7c8d
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26487
diff
changeset
|
828 |
let |
45347 | 829 |
val {t, T, maxidx = maxt, ...} = Thm.rep_cterm ct; |
830 |
val {t = u, T = U, maxidx = maxu, ...} = Thm.rep_cterm cu; |
|
831 |
val maxi = Int.max (maxidx, Int.max (maxt, maxu)); |
|
832 |
val thy' = Theory.merge (thy, Theory.merge (Thm.theory_of_cterm ct, Thm.theory_of_cterm cu)); |
|
833 |
val (tye', maxi') = Sign.typ_unify thy' (T, U) (tye, maxi) |
|
834 |
handle Type.TUNIFY => raise TYPE ("Ill-typed instantiation:\nType\n" ^ |
|
835 |
Syntax.string_of_typ_global thy' (Envir.norm_type tye T) ^ |
|
836 |
"\nof variable " ^ |
|
837 |
Syntax.string_of_term_global thy' (Term.map_types (Envir.norm_type tye) t) ^ |
|
838 |
"\ncannot be unified with type\n" ^ |
|
839 |
Syntax.string_of_typ_global thy' (Envir.norm_type tye U) ^ "\nof term " ^ |
|
840 |
Syntax.string_of_term_global thy' (Term.map_types (Envir.norm_type tye) u), |
|
841 |
[T, U], [t, u]) |
|
842 |
in (thy', tye', maxi') end; |
|
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
843 |
in |
45347 | 844 |
|
22561 | 845 |
fun cterm_instantiate [] th = th |
45348
6976920b709c
tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents:
45347
diff
changeset
|
846 |
| cterm_instantiate ctpairs th = |
45347 | 847 |
let |
45348
6976920b709c
tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents:
45347
diff
changeset
|
848 |
val (thy, tye, _) = fold_rev add_types ctpairs (Thm.theory_of_thm th, Vartab.empty, 0); |
45347 | 849 |
val certT = ctyp_of thy; |
45348
6976920b709c
tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents:
45347
diff
changeset
|
850 |
val instT = |
6976920b709c
tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents:
45347
diff
changeset
|
851 |
Vartab.fold (fn (xi, (S, T)) => |
6976920b709c
tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents:
45347
diff
changeset
|
852 |
cons (certT (TVar (xi, S)), certT (Envir.norm_type tye T))) tye []; |
6976920b709c
tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents:
45347
diff
changeset
|
853 |
val inst = map (pairself (Thm.instantiate_cterm (instT, []))) ctpairs; |
6976920b709c
tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents:
45347
diff
changeset
|
854 |
in instantiate_normalize (instT, inst) th end |
6976920b709c
tuned cterm_instantiate: avoid somewhat expensive Term.map_types and cterm_of;
wenzelm
parents:
45347
diff
changeset
|
855 |
handle TERM (msg, _) => raise THM (msg, 0, [th]) |
45347 | 856 |
| TYPE (msg, _, _) => raise THM (msg, 0, [th]); |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
857 |
end; |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
858 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
859 |
|
4285 | 860 |
(* instantiate by left-to-right occurrence of variables *) |
861 |
||
862 |
fun instantiate' cTs cts thm = |
|
863 |
let |
|
864 |
fun err msg = |
|
865 |
raise TYPE ("instantiate': " ^ msg, |
|
19482
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19421
diff
changeset
|
866 |
map_filter (Option.map Thm.typ_of) cTs, |
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19421
diff
changeset
|
867 |
map_filter (Option.map Thm.term_of) cts); |
4285 | 868 |
|
869 |
fun inst_of (v, ct) = |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
870 |
(Thm.cterm_of (Thm.theory_of_cterm ct) (Var v), ct) |
4285 | 871 |
handle TYPE (msg, _, _) => err msg; |
872 |
||
15797 | 873 |
fun tyinst_of (v, cT) = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
874 |
(Thm.ctyp_of (Thm.theory_of_ctyp cT) (TVar v), cT) |
15797 | 875 |
handle TYPE (msg, _, _) => err msg; |
876 |
||
20298 | 877 |
fun zip_vars xs ys = |
40722
441260986b63
make two copies (!) of Library.UnequalLengths coincide with ListPair.UnequalLengths;
wenzelm
parents:
39557
diff
changeset
|
878 |
zip_options xs ys handle ListPair.UnequalLengths => |
20298 | 879 |
err "more instantiations than variables in thm"; |
4285 | 880 |
|
881 |
(*instantiate types first!*) |
|
882 |
val thm' = |
|
883 |
if forall is_none cTs then thm |
|
20298 | 884 |
else Thm.instantiate |
22695
17073e9b94f2
moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents:
22681
diff
changeset
|
885 |
(map tyinst_of (zip_vars (rev (Thm.fold_terms Term.add_tvars thm [])) cTs), []) thm; |
20579 | 886 |
val thm'' = |
4285 | 887 |
if forall is_none cts then thm' |
20298 | 888 |
else Thm.instantiate |
22695
17073e9b94f2
moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents:
22681
diff
changeset
|
889 |
([], map inst_of (zip_vars (rev (Thm.fold_terms Term.add_vars thm' [])) cts)) thm'; |
20298 | 890 |
in thm'' end; |
4285 | 891 |
|
892 |
||
14081 | 893 |
|
894 |
(** renaming of bound variables **) |
|
895 |
||
896 |
(* replace bound variables x_i in thm by y_i *) |
|
897 |
(* where vs = [(x_1, y_1), ..., (x_n, y_n)] *) |
|
898 |
||
899 |
fun rename_bvars [] thm = thm |
|
900 |
| rename_bvars vs thm = |
|
26627
dac6d56b7c8d
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26487
diff
changeset
|
901 |
let |
dac6d56b7c8d
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26487
diff
changeset
|
902 |
val cert = Thm.cterm_of (Thm.theory_of_thm thm); |
dac6d56b7c8d
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26487
diff
changeset
|
903 |
fun ren (Abs (x, T, t)) = Abs (AList.lookup (op =) vs x |> the_default x, T, ren t) |
dac6d56b7c8d
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26487
diff
changeset
|
904 |
| ren (t $ u) = ren t $ ren u |
dac6d56b7c8d
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26487
diff
changeset
|
905 |
| ren t = t; |
36944 | 906 |
in Thm.equal_elim (Thm.reflexive (cert (ren (Thm.prop_of thm)))) thm end; |
14081 | 907 |
|
908 |
||
909 |
(* renaming in left-to-right order *) |
|
910 |
||
911 |
fun rename_bvars' xs thm = |
|
912 |
let |
|
26627
dac6d56b7c8d
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26487
diff
changeset
|
913 |
val cert = Thm.cterm_of (Thm.theory_of_thm thm); |
dac6d56b7c8d
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26487
diff
changeset
|
914 |
val prop = Thm.prop_of thm; |
14081 | 915 |
fun rename [] t = ([], t) |
916 |
| rename (x' :: xs) (Abs (x, T, t)) = |
|
917 |
let val (xs', t') = rename xs t |
|
18929 | 918 |
in (xs', Abs (the_default x x', T, t')) end |
14081 | 919 |
| rename xs (t $ u) = |
920 |
let |
|
921 |
val (xs', t') = rename xs t; |
|
922 |
val (xs'', u') = rename xs' u |
|
923 |
in (xs'', t' $ u') end |
|
924 |
| rename xs t = (xs, t); |
|
925 |
in case rename xs prop of |
|
36944 | 926 |
([], prop') => Thm.equal_elim (Thm.reflexive (cert prop')) thm |
14081 | 927 |
| _ => error "More names than abstractions in theorem" |
928 |
end; |
|
929 |
||
930 |
||
11975 | 931 |
|
18225 | 932 |
(** multi_resolve **) |
933 |
||
934 |
local |
|
935 |
||
936 |
fun res th i rule = |
|
937 |
Thm.biresolution false [(false, th)] i rule handle THM _ => Seq.empty; |
|
938 |
||
939 |
fun multi_res _ [] rule = Seq.single rule |
|
940 |
| multi_res i (th :: ths) rule = Seq.maps (res th i) (multi_res (i + 1) ths rule); |
|
941 |
||
942 |
in |
|
943 |
||
944 |
val multi_resolve = multi_res 1; |
|
945 |
fun multi_resolves facts rules = Seq.maps (multi_resolve facts) (Seq.of_list rules); |
|
946 |
||
947 |
end; |
|
948 |
||
11975 | 949 |
end; |
5903 | 950 |
|
35021
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
951 |
structure Basic_Drule: BASIC_DRULE = Drule; |
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33832
diff
changeset
|
952 |
open Basic_Drule; |