author | berghofe |
Mon, 30 Sep 2002 16:37:44 +0200 | |
changeset 13606 | 2f121149acfe |
parent 13569 | 69a6b3aa0f38 |
child 13650 | 31bd2a8cdbe2 |
permissions | -rw-r--r-- |
252
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1 |
(* Title: Pure/drule.ML |
0 | 2 |
ID: $Id$ |
252
7532f95d7f44
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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 |
||
13606
2f121149acfe
Removed nRS again because extract_rews now takes care of preserving names.
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diff
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9 |
infix 0 RS RSN RL RLN MRS MRL OF COMP; |
0 | 10 |
|
5903 | 11 |
signature BASIC_DRULE = |
3766 | 12 |
sig |
9547 | 13 |
val mk_implies : cterm * cterm -> cterm |
14 |
val list_implies : cterm list * cterm -> cterm |
|
4285 | 15 |
val dest_implies : cterm -> cterm * cterm |
10414 | 16 |
val dest_equals : cterm -> cterm * cterm |
8328 | 17 |
val skip_flexpairs : cterm -> cterm |
18 |
val strip_imp_prems : cterm -> cterm list |
|
10414 | 19 |
val strip_imp_concl : cterm -> cterm |
8328 | 20 |
val cprems_of : thm -> cterm list |
21 |
val read_insts : |
|
4285 | 22 |
Sign.sg -> (indexname -> typ option) * (indexname -> sort option) |
23 |
-> (indexname -> typ option) * (indexname -> sort option) |
|
24 |
-> string list -> (string*string)list |
|
25 |
-> (indexname*ctyp)list * (cterm*cterm)list |
|
26 |
val types_sorts: thm -> (indexname-> typ option) * (indexname-> sort option) |
|
7636 | 27 |
val strip_shyps_warning : thm -> thm |
8328 | 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 |
|
12725 | 34 |
val gen_all : thm -> thm |
8328 | 35 |
val freeze_thaw : thm -> thm * (thm -> thm) |
36 |
val implies_elim_list : thm -> thm list -> thm |
|
37 |
val implies_intr_list : cterm list -> thm -> thm |
|
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
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38 |
val instantiate : |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
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39 |
(indexname * ctyp) list * (cterm * cterm) list -> thm -> thm |
8328 | 40 |
val zero_var_indexes : thm -> thm |
41 |
val standard : thm -> thm |
|
11512
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
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42 |
val standard' : thm -> thm |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
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4588
diff
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|
43 |
val rotate_prems : int -> thm -> thm |
11163 | 44 |
val rearrange_prems : int list -> thm -> thm |
8328 | 45 |
val assume_ax : theory -> string -> thm |
46 |
val RSN : thm * (int * thm) -> thm |
|
47 |
val RS : thm * thm -> thm |
|
48 |
val RLN : thm list * (int * thm list) -> thm list |
|
49 |
val RL : thm list * thm list -> thm list |
|
50 |
val MRS : thm list * thm -> thm |
|
51 |
val MRL : thm list list * thm list -> thm list |
|
9288
06a55195741b
infix 'OF' is a version of 'MRS' with more appropriate argument order;
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52 |
val OF : thm * thm list -> thm |
8328 | 53 |
val compose : thm * int * thm -> thm list |
54 |
val COMP : thm * thm -> thm |
|
0 | 55 |
val read_instantiate_sg: Sign.sg -> (string*string)list -> thm -> thm |
8328 | 56 |
val read_instantiate : (string*string)list -> thm -> thm |
57 |
val cterm_instantiate : (cterm*cterm)list -> thm -> thm |
|
13105
3d1e7a199bdc
use eq_thm_prop instead of slightly inadequate eq_thm;
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diff
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58 |
val eq_thm_sg : thm * thm -> bool |
3d1e7a199bdc
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59 |
val eq_thm_prop : thm * thm -> bool |
8328 | 60 |
val weak_eq_thm : thm * thm -> bool |
61 |
val size_of_thm : thm -> int |
|
62 |
val reflexive_thm : thm |
|
63 |
val symmetric_thm : thm |
|
64 |
val transitive_thm : thm |
|
2004
3411fe560611
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65 |
val refl_implies : thm |
4679 | 66 |
val symmetric_fun : thm -> thm |
11512
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|
67 |
val extensional : thm -> thm |
10414 | 68 |
val imp_cong : thm |
69 |
val swap_prems_eq : thm |
|
8328 | 70 |
val equal_abs_elim : cterm -> thm -> thm |
4285 | 71 |
val equal_abs_elim_list: cterm list -> thm -> thm |
72 |
val flexpair_abs_elim_list: cterm list -> thm -> thm |
|
8328 | 73 |
val asm_rl : thm |
74 |
val cut_rl : thm |
|
75 |
val revcut_rl : thm |
|
76 |
val thin_rl : thm |
|
4285 | 77 |
val triv_forall_equality: thm |
1756 | 78 |
val swap_prems_rl : thm |
4285 | 79 |
val equal_intr_rule : thm |
13368 | 80 |
val equal_elim_rule1 : thm |
8550
b44c185f8018
new meta-rule "inst", a shorthand for read_instantiate_sg
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|
81 |
val inst : string -> string -> thm -> thm |
8328 | 82 |
val instantiate' : ctyp option list -> cterm option list -> thm -> thm |
83 |
val incr_indexes_wrt : int list -> ctyp list -> cterm list -> thm list -> thm -> thm |
|
5903 | 84 |
end; |
85 |
||
86 |
signature DRULE = |
|
87 |
sig |
|
88 |
include BASIC_DRULE |
|
12908
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
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|
89 |
val strip_comb: cterm -> cterm * cterm list |
11975 | 90 |
val rule_attribute: ('a -> thm -> thm) -> 'a attribute |
91 |
val tag_rule: tag -> thm -> thm |
|
92 |
val untag_rule: string -> thm -> thm |
|
93 |
val tag: tag -> 'a attribute |
|
94 |
val untag: string -> 'a attribute |
|
95 |
val get_kind: thm -> string |
|
96 |
val kind: string -> 'a attribute |
|
97 |
val theoremK: string |
|
98 |
val lemmaK: string |
|
99 |
val corollaryK: string |
|
100 |
val internalK: string |
|
101 |
val kind_internal: 'a attribute |
|
102 |
val has_internal: tag list -> bool |
|
103 |
val impose_hyps: cterm list -> thm -> thm |
|
13389 | 104 |
val satisfy_hyps: thm list -> thm -> thm |
11975 | 105 |
val close_derivation: thm -> thm |
12005 | 106 |
val local_standard: thm -> thm |
11975 | 107 |
val compose_single: thm * int * thm -> thm |
12373 | 108 |
val add_rule: thm -> thm list -> thm list |
109 |
val del_rule: thm -> thm list -> thm list |
|
11975 | 110 |
val add_rules: thm list -> thm list -> thm list |
111 |
val del_rules: thm list -> thm list -> thm list |
|
112 |
val merge_rules: thm list * thm list -> thm list |
|
113 |
val norm_hhf_eq: thm |
|
12800 | 114 |
val is_norm_hhf: term -> bool |
115 |
val norm_hhf: Sign.sg -> term -> term |
|
11975 | 116 |
val triv_goal: thm |
117 |
val rev_triv_goal: thm |
|
11815 | 118 |
val implies_intr_goals: cterm list -> thm -> thm |
11975 | 119 |
val freeze_all: thm -> thm |
120 |
val mk_triv_goal: cterm -> thm |
|
121 |
val tvars_of_terms: term list -> (indexname * sort) list |
|
122 |
val vars_of_terms: term list -> (indexname * typ) list |
|
123 |
val tvars_of: thm -> (indexname * sort) list |
|
124 |
val vars_of: thm -> (indexname * typ) list |
|
125 |
val unvarifyT: thm -> thm |
|
126 |
val unvarify: thm -> thm |
|
12495 | 127 |
val tvars_intr_list: string list -> thm -> thm * (string * indexname) list |
12297 | 128 |
val remdups_rl: thm |
11975 | 129 |
val conj_intr: thm -> thm -> thm |
130 |
val conj_intr_list: thm list -> thm |
|
131 |
val conj_elim: thm -> thm * thm |
|
132 |
val conj_elim_list: thm -> thm list |
|
12135 | 133 |
val conj_elim_precise: int -> thm -> thm list |
134 |
val conj_intr_thm: thm |
|
13325 | 135 |
val abs_def: thm -> thm |
3766 | 136 |
end; |
0 | 137 |
|
5903 | 138 |
structure Drule: DRULE = |
0 | 139 |
struct |
140 |
||
3991 | 141 |
|
708
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
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142 |
(** some cterm->cterm operations: much faster than calling cterm_of! **) |
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143 |
|
2004
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New operations on cterms. Now same names as in Logic
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144 |
(** SAME NAMES as in structure Logic: use compound identifiers! **) |
3411fe560611
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|
145 |
|
1703
e22ad43bab5f
moved dest_cimplies to drule.ML; added adjust_maxidx
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146 |
(*dest_implies for cterms. Note T=prop below*) |
2004
3411fe560611
New operations on cterms. Now same names as in Logic
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diff
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|
147 |
fun dest_implies ct = |
8328 | 148 |
case term_of ct of |
149 |
(Const("==>", _) $ _ $ _) => |
|
10767
8fa4aafa7314
Thm: dest_comb, dest_abs, capply, cabs no longer global;
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150 |
let val (ct1,ct2) = Thm.dest_comb ct |
8fa4aafa7314
Thm: dest_comb, dest_abs, capply, cabs no longer global;
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parents:
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|
151 |
in (#2 (Thm.dest_comb ct1), ct2) end |
2004
3411fe560611
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|
152 |
| _ => raise TERM ("dest_implies", [term_of ct]) ; |
1703
e22ad43bab5f
moved dest_cimplies to drule.ML; added adjust_maxidx
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diff
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|
153 |
|
10414 | 154 |
fun dest_equals ct = |
155 |
case term_of ct of |
|
156 |
(Const("==", _) $ _ $ _) => |
|
10767
8fa4aafa7314
Thm: dest_comb, dest_abs, capply, cabs no longer global;
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157 |
let val (ct1,ct2) = Thm.dest_comb ct |
8fa4aafa7314
Thm: dest_comb, dest_abs, capply, cabs no longer global;
wenzelm
parents:
10667
diff
changeset
|
158 |
in (#2 (Thm.dest_comb ct1), ct2) end |
10414 | 159 |
| _ => raise TERM ("dest_equals", [term_of ct]) ; |
160 |
||
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e22ad43bab5f
moved dest_cimplies to drule.ML; added adjust_maxidx
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|
161 |
|
708
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
lcp
parents:
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diff
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|
162 |
(*Discard flexflex pairs; return a cterm*) |
2004
3411fe560611
New operations on cterms. Now same names as in Logic
paulson
parents:
1906
diff
changeset
|
163 |
fun skip_flexpairs ct = |
708
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
lcp
parents:
668
diff
changeset
|
164 |
case term_of ct of |
8328 | 165 |
(Const("==>", _) $ (Const("=?=",_)$_$_) $ _) => |
166 |
skip_flexpairs (#2 (dest_implies ct)) |
|
708
8422e50adce0
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parents:
668
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167 |
| _ => ct; |
8422e50adce0
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parents:
668
diff
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168 |
|
8422e50adce0
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169 |
(* A1==>...An==>B goes to [A1,...,An], where B is not an implication *) |
2004
3411fe560611
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|
170 |
fun strip_imp_prems ct = |
3411fe560611
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parents:
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171 |
let val (cA,cB) = dest_implies ct |
3411fe560611
New operations on cterms. Now same names as in Logic
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diff
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172 |
in cA :: strip_imp_prems cB end |
708
8422e50adce0
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parents:
668
diff
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173 |
handle TERM _ => []; |
8422e50adce0
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parents:
668
diff
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|
174 |
|
2004
3411fe560611
New operations on cterms. Now same names as in Logic
paulson
parents:
1906
diff
changeset
|
175 |
(* A1==>...An==>B goes to B, where B is not an implication *) |
3411fe560611
New operations on cterms. Now same names as in Logic
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diff
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|
176 |
fun strip_imp_concl ct = |
8328 | 177 |
case term_of ct of (Const("==>", _) $ _ $ _) => |
10767
8fa4aafa7314
Thm: dest_comb, dest_abs, capply, cabs no longer global;
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parents:
10667
diff
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|
178 |
strip_imp_concl (#2 (Thm.dest_comb ct)) |
2004
3411fe560611
New operations on cterms. Now same names as in Logic
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parents:
1906
diff
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|
179 |
| _ => ct; |
3411fe560611
New operations on cterms. Now same names as in Logic
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|
180 |
|
708
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
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parents:
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diff
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|
181 |
(*The premises of a theorem, as a cterm list*) |
2004
3411fe560611
New operations on cterms. Now same names as in Logic
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diff
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|
182 |
val cprems_of = strip_imp_prems o skip_flexpairs o cprop_of; |
708
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
lcp
parents:
668
diff
changeset
|
183 |
|
9547 | 184 |
val proto_sign = Theory.sign_of ProtoPure.thy; |
185 |
||
186 |
val implies = cterm_of proto_sign Term.implies; |
|
187 |
||
188 |
(*cterm version of mk_implies*) |
|
10767
8fa4aafa7314
Thm: dest_comb, dest_abs, capply, cabs no longer global;
wenzelm
parents:
10667
diff
changeset
|
189 |
fun mk_implies(A,B) = Thm.capply (Thm.capply implies A) B; |
9547 | 190 |
|
191 |
(*cterm version of list_implies: [A1,...,An], B goes to [|A1;==>;An|]==>B *) |
|
192 |
fun list_implies([], B) = B |
|
193 |
| list_implies(A::AS, B) = mk_implies (A, list_implies(AS,B)); |
|
194 |
||
12908
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
changeset
|
195 |
(*cterm version of strip_comb: maps f(t1,...,tn) to (f, [t1,...,tn]) *) |
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
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|
196 |
fun strip_comb ct = |
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
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|
197 |
let |
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
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12800
diff
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|
198 |
fun stripc (p as (ct, cts)) = |
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
changeset
|
199 |
let val (ct1, ct2) = Thm.dest_comb ct |
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
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parents:
12800
diff
changeset
|
200 |
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
|
201 |
in stripc (ct, []) end; |
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
berghofe
parents:
12800
diff
changeset
|
202 |
|
708
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
lcp
parents:
668
diff
changeset
|
203 |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
204 |
(** reading of instantiations **) |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
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|
205 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
206 |
fun absent ixn = |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
207 |
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
|
208 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
209 |
fun inst_failure ixn = |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
210 |
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
|
211 |
|
4281
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
212 |
fun read_insts sign (rtypes,rsorts) (types,sorts) used insts = |
10403 | 213 |
let |
4281
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
214 |
fun split([],tvs,vs) = (tvs,vs) |
4691 | 215 |
| split((sv,st)::l,tvs,vs) = (case Symbol.explode sv of |
216 |
"'"::cs => split(l,(Syntax.indexname cs,st)::tvs,vs) |
|
217 |
| cs => split(l,tvs,(Syntax.indexname cs,st)::vs)); |
|
4281
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
218 |
val (tvs,vs) = split(insts,[],[]); |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
219 |
fun readT((a,i),st) = |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
220 |
let val ixn = ("'" ^ a,i); |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
221 |
val S = case rsorts ixn of Some S => S | None => absent ixn; |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
222 |
val T = Sign.read_typ (sign,sorts) st; |
10403 | 223 |
in if Sign.typ_instance sign (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
|
224 |
else inst_failure ixn |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
225 |
end |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
226 |
val tye = map readT tvs; |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
227 |
fun mkty(ixn,st) = (case rtypes ixn of |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
228 |
Some T => (ixn,(st,typ_subst_TVars tye T)) |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
229 |
| None => absent ixn); |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
230 |
val ixnsTs = map mkty vs; |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
231 |
val ixns = map fst ixnsTs |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
232 |
and sTs = map snd ixnsTs |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
233 |
val (cts,tye2) = read_def_cterms(sign,types,sorts) used false sTs; |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
234 |
fun mkcVar(ixn,T) = |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
235 |
let val U = typ_subst_TVars tye2 T |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
236 |
in cterm_of sign (Var(ixn,U)) end |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
237 |
val ixnTs = ListPair.zip(ixns, map snd sTs) |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
238 |
in (map (fn (ixn,T) => (ixn,ctyp_of sign T)) (tye2 @ tye), |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
239 |
ListPair.zip(map mkcVar ixnTs,cts)) |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
240 |
end; |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
241 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
242 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
243 |
(*** Find the type (sort) associated with a (T)Var or (T)Free in a term |
0 | 244 |
Used for establishing default types (of variables) and sorts (of |
245 |
type variables) when reading another term. |
|
246 |
Index -1 indicates that a (T)Free rather than a (T)Var is wanted. |
|
247 |
***) |
|
248 |
||
249 |
fun types_sorts thm = |
|
250 |
let val {prop,hyps,...} = rep_thm thm; |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
251 |
val big = list_comb(prop,hyps); (* bogus term! *) |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
252 |
val vars = map dest_Var (term_vars big); |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
253 |
val frees = map dest_Free (term_frees big); |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
254 |
val tvars = term_tvars big; |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
255 |
val tfrees = term_tfrees big; |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
256 |
fun typ(a,i) = if i<0 then assoc(frees,a) else assoc(vars,(a,i)); |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
257 |
fun sort(a,i) = if i<0 then assoc(tfrees,a) else assoc(tvars,(a,i)); |
0 | 258 |
in (typ,sort) end; |
259 |
||
7636 | 260 |
|
9455 | 261 |
|
262 |
(** basic attributes **) |
|
263 |
||
264 |
(* dependent rules *) |
|
265 |
||
266 |
fun rule_attribute f (x, thm) = (x, (f x thm)); |
|
267 |
||
268 |
||
269 |
(* add / delete tags *) |
|
270 |
||
271 |
fun map_tags f thm = |
|
272 |
Thm.put_name_tags (Thm.name_of_thm thm, f (#2 (Thm.get_name_tags thm))) thm; |
|
273 |
||
274 |
fun tag_rule tg = map_tags (fn tgs => if tg mem tgs then tgs else tgs @ [tg]); |
|
275 |
fun untag_rule s = map_tags (filter_out (equal s o #1)); |
|
276 |
||
277 |
fun tag tg x = rule_attribute (K (tag_rule tg)) x; |
|
278 |
fun untag s x = rule_attribute (K (untag_rule s)) x; |
|
279 |
||
280 |
fun simple_tag name x = tag (name, []) x; |
|
281 |
||
11741 | 282 |
|
283 |
(* theorem kinds *) |
|
284 |
||
285 |
val theoremK = "theorem"; |
|
286 |
val lemmaK = "lemma"; |
|
287 |
val corollaryK = "corollary"; |
|
288 |
val internalK = "internal"; |
|
9455 | 289 |
|
11741 | 290 |
fun get_kind thm = |
291 |
(case Library.assoc (#2 (Thm.get_name_tags thm), "kind") of |
|
292 |
Some (k :: _) => k |
|
293 |
| _ => "unknown"); |
|
294 |
||
295 |
fun kind_rule k = tag_rule ("kind", [k]) o untag_rule "kind"; |
|
12710 | 296 |
fun kind k x = if k = "" then x else rule_attribute (K (kind_rule k)) x; |
11741 | 297 |
fun kind_internal x = kind internalK x; |
298 |
fun has_internal tags = exists (equal internalK o fst) tags; |
|
9455 | 299 |
|
300 |
||
301 |
||
0 | 302 |
(** Standardization of rules **) |
303 |
||
7636 | 304 |
(*Strip extraneous shyps as far as possible*) |
305 |
fun strip_shyps_warning thm = |
|
306 |
let |
|
307 |
val str_of_sort = Sign.str_of_sort (Thm.sign_of_thm thm); |
|
308 |
val thm' = Thm.strip_shyps thm; |
|
309 |
val xshyps = Thm.extra_shyps thm'; |
|
310 |
in |
|
311 |
if null xshyps then () |
|
312 |
else warning ("Pending sort hypotheses: " ^ commas (map str_of_sort xshyps)); |
|
313 |
thm' |
|
314 |
end; |
|
315 |
||
0 | 316 |
(*Generalization over a list of variables, IGNORING bad ones*) |
317 |
fun forall_intr_list [] th = th |
|
318 |
| forall_intr_list (y::ys) th = |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
319 |
let val gth = forall_intr_list ys th |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
320 |
in forall_intr y gth handle THM _ => gth end; |
0 | 321 |
|
322 |
(*Generalization over all suitable Free variables*) |
|
323 |
fun forall_intr_frees th = |
|
324 |
let val {prop,sign,...} = rep_thm th |
|
325 |
in forall_intr_list |
|
4440 | 326 |
(map (cterm_of sign) (sort (make_ord atless) (term_frees prop))) |
0 | 327 |
th |
328 |
end; |
|
329 |
||
7898 | 330 |
val forall_elim_var = PureThy.forall_elim_var; |
331 |
val forall_elim_vars = PureThy.forall_elim_vars; |
|
0 | 332 |
|
12725 | 333 |
fun gen_all thm = |
12719
41e0d086f8b6
improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents:
12710
diff
changeset
|
334 |
let |
41e0d086f8b6
improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents:
12710
diff
changeset
|
335 |
val {sign, prop, maxidx, ...} = Thm.rep_thm thm; |
41e0d086f8b6
improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents:
12710
diff
changeset
|
336 |
fun elim (th, (x, T)) = Thm.forall_elim (Thm.cterm_of sign (Var ((x, maxidx + 1), T))) th; |
41e0d086f8b6
improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents:
12710
diff
changeset
|
337 |
val vs = Term.strip_all_vars prop; |
41e0d086f8b6
improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents:
12710
diff
changeset
|
338 |
in foldl elim (thm, Term.variantlist (map #1 vs, []) ~~ map #2 vs) end; |
9554 | 339 |
|
0 | 340 |
(*Specialization over a list of cterms*) |
341 |
fun forall_elim_list cts th = foldr (uncurry forall_elim) (rev cts, th); |
|
342 |
||
11815 | 343 |
(* maps A1,...,An |- B to [| A1;...;An |] ==> B *) |
0 | 344 |
fun implies_intr_list cAs th = foldr (uncurry implies_intr) (cAs,th); |
345 |
||
346 |
(* maps [| A1;...;An |] ==> B and [A1,...,An] to B *) |
|
347 |
fun implies_elim_list impth ths = foldl (uncurry implies_elim) (impth,ths); |
|
348 |
||
11960 | 349 |
(* maps |- B to A1,...,An |- B *) |
350 |
fun impose_hyps chyps th = |
|
12092 | 351 |
let val chyps' = gen_rems (op aconv o apfst Thm.term_of) (chyps, #hyps (Thm.rep_thm th)) |
352 |
in implies_elim_list (implies_intr_list chyps' th) (map Thm.assume chyps') end; |
|
11960 | 353 |
|
13389 | 354 |
(* maps A1,...,An and A1,...,An |- B to |- B *) |
355 |
fun satisfy_hyps ths th = |
|
356 |
implies_elim_list (implies_intr_list (map (#prop o Thm.crep_thm) ths) th) ths; |
|
357 |
||
0 | 358 |
(*Reset Var indexes to zero, renaming to preserve distinctness*) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
359 |
fun zero_var_indexes th = |
0 | 360 |
let val {prop,sign,...} = rep_thm th; |
361 |
val vars = term_vars prop |
|
362 |
val bs = foldl add_new_id ([], map (fn Var((a,_),_)=>a) vars) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
363 |
val inrs = add_term_tvars(prop,[]); |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
364 |
val nms' = rev(foldl add_new_id ([], map (#1 o #1) inrs)); |
2266 | 365 |
val tye = ListPair.map (fn ((v,rs),a) => (v, TVar((a,0),rs))) |
8328 | 366 |
(inrs, nms') |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
367 |
val ctye = map (fn (v,T) => (v,ctyp_of sign T)) tye; |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
368 |
fun varpairs([],[]) = [] |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
369 |
| varpairs((var as Var(v,T)) :: vars, b::bs) = |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
370 |
let val T' = typ_subst_TVars tye T |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
371 |
in (cterm_of sign (Var(v,T')), |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
372 |
cterm_of sign (Var((b,0),T'))) :: varpairs(vars,bs) |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
373 |
end |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
374 |
| varpairs _ = raise TERM("varpairs", []); |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
375 |
in Thm.instantiate (ctye, varpairs(vars,rev bs)) th end; |
0 | 376 |
|
377 |
||
378 |
(*Standard form of object-rule: no hypotheses, Frees, or outer quantifiers; |
|
379 |
all generality expressed by Vars having index 0.*) |
|
10515 | 380 |
|
381 |
fun close_derivation thm = |
|
382 |
if Thm.get_name_tags thm = ("", []) then Thm.name_thm ("", thm) |
|
383 |
else thm; |
|
384 |
||
11512
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
385 |
fun standard' th = |
10515 | 386 |
let val {maxidx,...} = rep_thm th in |
387 |
th |
|
388 |
|> implies_intr_hyps |
|
389 |
|> forall_intr_frees |> forall_elim_vars (maxidx + 1) |
|
390 |
|> strip_shyps_warning |
|
11512
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
391 |
|> zero_var_indexes |> Thm.varifyT |> Thm.compress |
1218
59ed8ef1a3a1
modified pretty_thm, standard, eq_thm to handle shyps;
wenzelm
parents:
1194
diff
changeset
|
392 |
end; |
59ed8ef1a3a1
modified pretty_thm, standard, eq_thm to handle shyps;
wenzelm
parents:
1194
diff
changeset
|
393 |
|
11512
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
394 |
val standard = close_derivation o standard'; |
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
395 |
|
12005 | 396 |
fun local_standard th = |
12221
cc31140bba16
local_standard: plain strip_shyps instead of strip_shyps_warning;
wenzelm
parents:
12135
diff
changeset
|
397 |
th |> strip_shyps |> zero_var_indexes |
12005 | 398 |
|> Thm.compress |> close_derivation; |
399 |
||
0 | 400 |
|
8328 | 401 |
(*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
|
402 |
reversing that operation. DOES NOT WORK FOR TYPE VARIABLES. |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
403 |
Similar code in type/freeze_thaw*) |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
404 |
fun freeze_thaw th = |
7248
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
405 |
let val fth = freezeT th |
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
406 |
val {prop,sign,...} = rep_thm fth |
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
407 |
in |
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
408 |
case term_vars prop of |
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
409 |
[] => (fth, fn x => x) |
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
410 |
| vars => |
8328 | 411 |
let fun newName (Var(ix,_), (pairs,used)) = |
412 |
let val v = variant used (string_of_indexname ix) |
|
413 |
in ((ix,v)::pairs, v::used) end; |
|
414 |
val (alist, _) = foldr newName |
|
415 |
(vars, ([], add_term_names (prop, []))) |
|
416 |
fun mk_inst (Var(v,T)) = |
|
417 |
(cterm_of sign (Var(v,T)), |
|
418 |
cterm_of sign (Free(the (assoc(alist,v)), T))) |
|
419 |
val insts = map mk_inst vars |
|
420 |
fun thaw th' = |
|
421 |
th' |> forall_intr_list (map #2 insts) |
|
422 |
|> forall_elim_list (map #1 insts) |
|
423 |
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
|
424 |
end; |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
425 |
|
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
426 |
|
7248
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
427 |
(*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
|
428 |
val rotate_prems = permute_prems 0; |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
429 |
|
11163 | 430 |
(* permute prems, where the i-th position in the argument list (counting from 0) |
431 |
gives the position within the original thm to be transferred to position i. |
|
432 |
Any remaining trailing positions are left unchanged. *) |
|
433 |
val rearrange_prems = let |
|
434 |
fun rearr new [] thm = thm |
|
11815 | 435 |
| rearr new (p::ps) thm = rearr (new+1) |
11163 | 436 |
(map (fn q => if new<=q andalso q<p then q+1 else q) ps) |
437 |
(permute_prems (new+1) (new-p) (permute_prems new (p-new) thm)) |
|
438 |
in rearr 0 end; |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
439 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
440 |
(*Assume a new formula, read following the same conventions as axioms. |
0 | 441 |
Generalizes over Free variables, |
442 |
creates the assumption, and then strips quantifiers. |
|
443 |
Example is [| ALL x:?A. ?P(x) |] ==> [| ?P(?a) |] |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
444 |
[ !(A,P,a)[| ALL x:A. P(x) |] ==> [| P(a) |] ] *) |
0 | 445 |
fun assume_ax thy sP = |
6390 | 446 |
let val sign = Theory.sign_of thy |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
447 |
val prop = Logic.close_form (term_of (read_cterm sign (sP, propT))) |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
448 |
in forall_elim_vars 0 (assume (cterm_of sign prop)) end; |
0 | 449 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
450 |
(*Resolution: exactly one resolvent must be produced.*) |
0 | 451 |
fun tha RSN (i,thb) = |
4270 | 452 |
case Seq.chop (2, biresolution false [(false,tha)] i thb) of |
0 | 453 |
([th],_) => th |
454 |
| ([],_) => raise THM("RSN: no unifiers", i, [tha,thb]) |
|
455 |
| _ => raise THM("RSN: multiple unifiers", i, [tha,thb]); |
|
456 |
||
457 |
(*resolution: P==>Q, Q==>R gives P==>R. *) |
|
458 |
fun tha RS thb = tha RSN (1,thb); |
|
459 |
||
460 |
(*For joining lists of rules*) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
461 |
fun thas RLN (i,thbs) = |
0 | 462 |
let val resolve = biresolution false (map (pair false) thas) i |
4270 | 463 |
fun resb thb = Seq.list_of (resolve thb) handle THM _ => [] |
2672
85d7e800d754
Replaced "flat" by the Basis Library function List.concat
paulson
parents:
2266
diff
changeset
|
464 |
in List.concat (map resb thbs) end; |
0 | 465 |
|
466 |
fun thas RL thbs = thas RLN (1,thbs); |
|
467 |
||
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
468 |
(*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
|
469 |
makes proof trees*) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
470 |
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
|
471 |
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
|
472 |
| 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
|
473 |
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
|
474 |
|
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
475 |
(*As above, but for rule lists*) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
476 |
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
|
477 |
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
|
478 |
| 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
|
479 |
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
|
480 |
|
9288
06a55195741b
infix 'OF' is a version of 'MRS' with more appropriate argument order;
wenzelm
parents:
8605
diff
changeset
|
481 |
(*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
|
482 |
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
|
483 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
484 |
(*compose Q and [...,Qi,Q(i+1),...]==>R to [...,Q(i+1),...]==>R |
0 | 485 |
with no lifting or renaming! Q may contain ==> or meta-quants |
486 |
ALWAYS deletes premise i *) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
487 |
fun compose(tha,i,thb) = |
4270 | 488 |
Seq.list_of (bicompose false (false,tha,0) i thb); |
0 | 489 |
|
6946 | 490 |
fun compose_single (tha,i,thb) = |
491 |
(case compose (tha,i,thb) of |
|
492 |
[th] => th |
|
493 |
| _ => raise THM ("compose: unique result expected", i, [tha,thb])); |
|
494 |
||
0 | 495 |
(*compose Q and [Q1,Q2,...,Qk]==>R to [Q2,...,Qk]==>R getting unique result*) |
496 |
fun tha COMP thb = |
|
497 |
case compose(tha,1,thb) of |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
498 |
[th] => th |
0 | 499 |
| _ => raise THM("COMP", 1, [tha,thb]); |
500 |
||
13105
3d1e7a199bdc
use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents:
12908
diff
changeset
|
501 |
|
4016 | 502 |
(** theorem equality **) |
0 | 503 |
|
13105
3d1e7a199bdc
use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents:
12908
diff
changeset
|
504 |
val eq_thm_sg = Sign.eq_sg o pairself Thm.sign_of_thm; |
3d1e7a199bdc
use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents:
12908
diff
changeset
|
505 |
val eq_thm_prop = op aconv o pairself Thm.prop_of; |
0 | 506 |
|
507 |
(*Useful "distance" function for BEST_FIRST*) |
|
12800 | 508 |
val size_of_thm = size_of_term o prop_of; |
0 | 509 |
|
9829 | 510 |
(*maintain lists of theorems --- preserving canonical order*) |
13105
3d1e7a199bdc
use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents:
12908
diff
changeset
|
511 |
fun del_rules rs rules = Library.gen_rems eq_thm_prop (rules, rs); |
9862 | 512 |
fun add_rules rs rules = rs @ del_rules rs rules; |
12373 | 513 |
val del_rule = del_rules o single; |
514 |
val add_rule = add_rules o single; |
|
13105
3d1e7a199bdc
use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents:
12908
diff
changeset
|
515 |
fun merge_rules (rules1, rules2) = gen_merge_lists' eq_thm_prop rules1 rules2; |
9829 | 516 |
|
0 | 517 |
|
1194
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
518 |
(** Mark Staples's weaker version of eq_thm: ignores variable renaming and |
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
519 |
(some) type variable renaming **) |
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
520 |
|
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
521 |
(* Can't use term_vars, because it sorts the resulting list of variable names. |
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
522 |
We instead need the unique list noramlised by the order of appearance |
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
523 |
in the term. *) |
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
524 |
fun term_vars' (t as Var(v,T)) = [t] |
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
525 |
| term_vars' (Abs(_,_,b)) = term_vars' b |
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
526 |
| term_vars' (f$a) = (term_vars' f) @ (term_vars' a) |
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
527 |
| term_vars' _ = []; |
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
528 |
|
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
529 |
fun forall_intr_vars th = |
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
530 |
let val {prop,sign,...} = rep_thm th; |
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
531 |
val vars = distinct (term_vars' prop); |
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
532 |
in forall_intr_list (map (cterm_of sign) vars) th end; |
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
533 |
|
13105
3d1e7a199bdc
use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents:
12908
diff
changeset
|
534 |
val weak_eq_thm = Thm.eq_thm o pairself (forall_intr_vars o freezeT); |
1194
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
535 |
|
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
536 |
|
0 | 537 |
(*** Meta-Rewriting Rules ***) |
538 |
||
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
539 |
fun read_prop s = read_cterm proto_sign (s, propT); |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
540 |
|
9455 | 541 |
fun store_thm name thm = hd (PureThy.smart_store_thms (name, [thm])); |
542 |
fun store_standard_thm name thm = store_thm name (standard thm); |
|
12135 | 543 |
fun store_thm_open name thm = hd (PureThy.smart_store_thms_open (name, [thm])); |
544 |
fun store_standard_thm_open name thm = store_thm_open name (standard' thm); |
|
4016 | 545 |
|
0 | 546 |
val reflexive_thm = |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
547 |
let val cx = cterm_of proto_sign (Var(("x",0),TVar(("'a",0),logicS))) |
12135 | 548 |
in store_standard_thm_open "reflexive" (Thm.reflexive cx) end; |
0 | 549 |
|
550 |
val symmetric_thm = |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
551 |
let val xy = read_prop "x::'a::logic == y" |
12135 | 552 |
in store_standard_thm_open "symmetric" (Thm.implies_intr_hyps (Thm.symmetric (Thm.assume xy))) end; |
0 | 553 |
|
554 |
val transitive_thm = |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
555 |
let val xy = read_prop "x::'a::logic == y" |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
556 |
val yz = read_prop "y::'a::logic == z" |
0 | 557 |
val xythm = Thm.assume xy and yzthm = Thm.assume yz |
12135 | 558 |
in store_standard_thm_open "transitive" (Thm.implies_intr yz (Thm.transitive xythm yzthm)) end; |
0 | 559 |
|
4679 | 560 |
fun symmetric_fun thm = thm RS symmetric_thm; |
561 |
||
11512
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
562 |
fun extensional eq = |
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
563 |
let val eq' = |
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
564 |
abstract_rule "x" (snd (Thm.dest_comb (fst (dest_equals (cprop_of eq))))) eq |
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
565 |
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
|
566 |
|
10414 | 567 |
val imp_cong = |
568 |
let |
|
569 |
val ABC = read_prop "PROP A ==> PROP B == PROP C" |
|
570 |
val AB = read_prop "PROP A ==> PROP B" |
|
571 |
val AC = read_prop "PROP A ==> PROP C" |
|
572 |
val A = read_prop "PROP A" |
|
573 |
in |
|
12135 | 574 |
store_standard_thm_open "imp_cong" (implies_intr ABC (equal_intr |
10414 | 575 |
(implies_intr AB (implies_intr A |
576 |
(equal_elim (implies_elim (assume ABC) (assume A)) |
|
577 |
(implies_elim (assume AB) (assume A))))) |
|
578 |
(implies_intr AC (implies_intr A |
|
579 |
(equal_elim (symmetric (implies_elim (assume ABC) (assume A))) |
|
580 |
(implies_elim (assume AC) (assume A))))))) |
|
581 |
end; |
|
582 |
||
583 |
val swap_prems_eq = |
|
584 |
let |
|
585 |
val ABC = read_prop "PROP A ==> PROP B ==> PROP C" |
|
586 |
val BAC = read_prop "PROP B ==> PROP A ==> PROP C" |
|
587 |
val A = read_prop "PROP A" |
|
588 |
val B = read_prop "PROP B" |
|
589 |
in |
|
12135 | 590 |
store_standard_thm_open "swap_prems_eq" (equal_intr |
10414 | 591 |
(implies_intr ABC (implies_intr B (implies_intr A |
592 |
(implies_elim (implies_elim (assume ABC) (assume A)) (assume B))))) |
|
593 |
(implies_intr BAC (implies_intr A (implies_intr B |
|
594 |
(implies_elim (implies_elim (assume BAC) (assume B)) (assume A)))))) |
|
595 |
end; |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
596 |
|
9547 | 597 |
val refl_implies = reflexive implies; |
0 | 598 |
|
13325 | 599 |
fun abs_def thm = |
600 |
let |
|
601 |
val (_, cvs) = strip_comb (fst (dest_equals (cprop_of thm))); |
|
602 |
val thm' = foldr (fn (ct, thm) => Thm.abstract_rule |
|
603 |
(case term_of ct of Var ((a, _), _) => a | Free (a, _) => a | _ => "x") |
|
604 |
ct thm) (cvs, thm) |
|
605 |
in transitive |
|
606 |
(symmetric (eta_conversion (fst (dest_equals (cprop_of thm'))))) thm' |
|
607 |
end; |
|
608 |
||
0 | 609 |
|
610 |
(*** Some useful meta-theorems ***) |
|
611 |
||
612 |
(*The rule V/V, obtains assumption solving for eresolve_tac*) |
|
12135 | 613 |
val asm_rl = store_standard_thm_open "asm_rl" (Thm.trivial (read_prop "PROP ?psi")); |
7380 | 614 |
val _ = store_thm "_" asm_rl; |
0 | 615 |
|
616 |
(*Meta-level cut rule: [| V==>W; V |] ==> W *) |
|
4016 | 617 |
val cut_rl = |
12135 | 618 |
store_standard_thm_open "cut_rl" |
9455 | 619 |
(Thm.trivial (read_prop "PROP ?psi ==> PROP ?theta")); |
0 | 620 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
621 |
(*Generalized elim rule for one conclusion; cut_rl with reversed premises: |
0 | 622 |
[| PROP V; PROP V ==> PROP W |] ==> PROP W *) |
623 |
val revcut_rl = |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
624 |
let val V = read_prop "PROP V" |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
625 |
and VW = read_prop "PROP V ==> PROP W"; |
4016 | 626 |
in |
12135 | 627 |
store_standard_thm_open "revcut_rl" |
4016 | 628 |
(implies_intr V (implies_intr VW (implies_elim (assume VW) (assume V)))) |
0 | 629 |
end; |
630 |
||
668 | 631 |
(*for deleting an unwanted assumption*) |
632 |
val thin_rl = |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
633 |
let val V = read_prop "PROP V" |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
634 |
and W = read_prop "PROP W"; |
12135 | 635 |
in store_standard_thm_open "thin_rl" (implies_intr V (implies_intr W (assume W))) end; |
668 | 636 |
|
0 | 637 |
(* (!!x. PROP ?V) == PROP ?V Allows removal of redundant parameters*) |
638 |
val triv_forall_equality = |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
639 |
let val V = read_prop "PROP V" |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
640 |
and QV = read_prop "!!x::'a. PROP V" |
8086 | 641 |
and x = read_cterm proto_sign ("x", TypeInfer.logicT); |
4016 | 642 |
in |
12135 | 643 |
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
|
644 |
(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
|
645 |
(implies_intr V (forall_intr x (assume V)))) |
0 | 646 |
end; |
647 |
||
1756 | 648 |
(* (PROP ?PhiA ==> PROP ?PhiB ==> PROP ?Psi) ==> |
649 |
(PROP ?PhiB ==> PROP ?PhiA ==> PROP ?Psi) |
|
650 |
`thm COMP swap_prems_rl' swaps the first two premises of `thm' |
|
651 |
*) |
|
652 |
val swap_prems_rl = |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
653 |
let val cmajor = read_prop "PROP PhiA ==> PROP PhiB ==> PROP Psi"; |
1756 | 654 |
val major = assume cmajor; |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
655 |
val cminor1 = read_prop "PROP PhiA"; |
1756 | 656 |
val minor1 = assume cminor1; |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
657 |
val cminor2 = read_prop "PROP PhiB"; |
1756 | 658 |
val minor2 = assume cminor2; |
12135 | 659 |
in store_standard_thm_open "swap_prems_rl" |
1756 | 660 |
(implies_intr cmajor (implies_intr cminor2 (implies_intr cminor1 |
661 |
(implies_elim (implies_elim major minor1) minor2)))) |
|
662 |
end; |
|
663 |
||
3653 | 664 |
(* [| PROP ?phi ==> PROP ?psi; PROP ?psi ==> PROP ?phi |] |
665 |
==> PROP ?phi == PROP ?psi |
|
8328 | 666 |
Introduction rule for == as a meta-theorem. |
3653 | 667 |
*) |
668 |
val equal_intr_rule = |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
669 |
let val PQ = read_prop "PROP phi ==> PROP psi" |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
670 |
and QP = read_prop "PROP psi ==> PROP phi" |
4016 | 671 |
in |
12135 | 672 |
store_standard_thm_open "equal_intr_rule" |
4016 | 673 |
(implies_intr PQ (implies_intr QP (equal_intr (assume PQ) (assume QP)))) |
3653 | 674 |
end; |
675 |
||
13368 | 676 |
(* [| PROP ?phi == PROP ?psi; PROP ?phi |] ==> PROP ?psi *) |
677 |
val equal_elim_rule1 = |
|
678 |
let val eq = read_prop "PROP phi == PROP psi" |
|
679 |
and P = read_prop "PROP phi" |
|
680 |
in store_standard_thm_open "equal_elim_rule1" |
|
681 |
(Thm.equal_elim (assume eq) (assume P) |> implies_intr_list [eq, P]) |
|
682 |
end; |
|
4285 | 683 |
|
12297 | 684 |
(* "[| PROP ?phi; PROP ?phi; PROP ?psi |] ==> PROP ?psi" *) |
685 |
||
686 |
val remdups_rl = |
|
687 |
let val P = read_prop "PROP phi" and Q = read_prop "PROP psi"; |
|
688 |
in store_standard_thm_open "remdups_rl" (implies_intr_list [P, P, Q] (Thm.assume Q)) end; |
|
689 |
||
690 |
||
9554 | 691 |
(*(PROP ?phi ==> (!!x. PROP ?psi(x))) == (!!x. PROP ?phi ==> PROP ?psi(x)) |
12297 | 692 |
Rewrite rule for HHF normalization.*) |
9554 | 693 |
|
694 |
val norm_hhf_eq = |
|
695 |
let |
|
696 |
val cert = Thm.cterm_of proto_sign; |
|
697 |
val aT = TFree ("'a", Term.logicS); |
|
698 |
val all = Term.all aT; |
|
699 |
val x = Free ("x", aT); |
|
700 |
val phi = Free ("phi", propT); |
|
701 |
val psi = Free ("psi", aT --> propT); |
|
702 |
||
703 |
val cx = cert x; |
|
704 |
val cphi = cert phi; |
|
705 |
val lhs = cert (Logic.mk_implies (phi, all $ Abs ("x", aT, psi $ Bound 0))); |
|
706 |
val rhs = cert (all $ Abs ("x", aT, Logic.mk_implies (phi, psi $ Bound 0))); |
|
707 |
in |
|
708 |
Thm.equal_intr |
|
709 |
(Thm.implies_elim (Thm.assume lhs) (Thm.assume cphi) |
|
710 |
|> Thm.forall_elim cx |
|
711 |
|> Thm.implies_intr cphi |
|
712 |
|> Thm.forall_intr cx |
|
713 |
|> Thm.implies_intr lhs) |
|
714 |
(Thm.implies_elim |
|
715 |
(Thm.assume rhs |> Thm.forall_elim cx) (Thm.assume cphi) |
|
716 |
|> Thm.forall_intr cx |
|
717 |
|> Thm.implies_intr cphi |
|
718 |
|> Thm.implies_intr rhs) |
|
12135 | 719 |
|> store_standard_thm_open "norm_hhf_eq" |
9554 | 720 |
end; |
721 |
||
12800 | 722 |
fun is_norm_hhf tm = |
723 |
let |
|
724 |
fun is_norm (Const ("==>", _) $ _ $ (Const ("all", _) $ _)) = false |
|
725 |
| is_norm (t $ u) = is_norm t andalso is_norm u |
|
726 |
| is_norm (Abs (_, _, t)) = is_norm t |
|
727 |
| is_norm _ = true; |
|
728 |
in is_norm (Pattern.beta_eta_contract tm) end; |
|
729 |
||
730 |
fun norm_hhf sg t = |
|
731 |
if is_norm_hhf t then t |
|
13198 | 732 |
else Pattern.rewrite_term (Sign.tsig_of sg) [Logic.dest_equals (prop_of norm_hhf_eq)] [] t; |
12800 | 733 |
|
9554 | 734 |
|
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
735 |
(*** Instantiate theorem th, reading instantiations under signature sg ****) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
736 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
737 |
(*Version that normalizes the result: Thm.instantiate no longer does that*) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
738 |
fun instantiate instpair th = Thm.instantiate instpair th COMP asm_rl; |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
739 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
740 |
fun read_instantiate_sg sg sinsts th = |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
741 |
let val ts = types_sorts th; |
12800 | 742 |
val used = add_term_tvarnames (prop_of th, []); |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
743 |
in instantiate (read_insts sg ts ts used sinsts) th end; |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
744 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
745 |
(*Instantiate theorem th, reading instantiations under theory of th*) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
746 |
fun read_instantiate sinsts th = |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
747 |
read_instantiate_sg (#sign (rep_thm th)) sinsts th; |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
748 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
749 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
750 |
(*Left-to-right replacements: tpairs = [...,(vi,ti),...]. |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
751 |
Instantiates distinct Vars by terms, inferring type instantiations. *) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
752 |
local |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
753 |
fun add_types ((ct,cu), (sign,tye,maxidx)) = |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
754 |
let val {sign=signt, t=t, T= T, maxidx=maxt,...} = rep_cterm ct |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
755 |
and {sign=signu, t=u, T= U, maxidx=maxu,...} = rep_cterm cu; |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
756 |
val maxi = Int.max(maxidx, Int.max(maxt, maxu)); |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
757 |
val sign' = Sign.merge(sign, Sign.merge(signt, signu)) |
12527 | 758 |
val (tye',maxi') = Type.unify (#tsig(Sign.rep_sg sign')) (tye, maxi) (T, U) |
10403 | 759 |
handle Type.TUNIFY => raise TYPE("Ill-typed instantiation", [T,U], [t,u]) |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
760 |
in (sign', tye', maxi') end; |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
761 |
in |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
762 |
fun cterm_instantiate ctpairs0 th = |
8406
a217b0cd304d
Type.unify and Type.typ_match now use Vartab instead of association lists.
berghofe
parents:
8365
diff
changeset
|
763 |
let val (sign,tye,_) = foldr add_types (ctpairs0, (#sign(rep_thm th), Vartab.empty, 0)) |
a217b0cd304d
Type.unify and Type.typ_match now use Vartab instead of association lists.
berghofe
parents:
8365
diff
changeset
|
764 |
fun instT(ct,cu) = let val inst = subst_TVars_Vartab tye |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
765 |
in (cterm_fun inst ct, cterm_fun inst cu) end |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
766 |
fun ctyp2 (ix,T) = (ix, ctyp_of sign T) |
8406
a217b0cd304d
Type.unify and Type.typ_match now use Vartab instead of association lists.
berghofe
parents:
8365
diff
changeset
|
767 |
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
|
768 |
handle TERM _ => |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
769 |
raise THM("cterm_instantiate: incompatible signatures",0,[th]) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
770 |
| TYPE (msg, _, _) => raise THM(msg, 0, [th]) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
771 |
end; |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
772 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
773 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
774 |
(** Derived rules mainly for METAHYPS **) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
775 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
776 |
(*Given the term "a", takes (%x.t)==(%x.u) to t[a/x]==u[a/x]*) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
777 |
fun equal_abs_elim ca eqth = |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
778 |
let val {sign=signa, t=a, ...} = rep_cterm ca |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
779 |
and combth = combination eqth (reflexive ca) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
780 |
val {sign,prop,...} = rep_thm eqth |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
781 |
val (abst,absu) = Logic.dest_equals prop |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
782 |
val cterm = cterm_of (Sign.merge (sign,signa)) |
10414 | 783 |
in transitive (symmetric (beta_conversion false (cterm (abst$a)))) |
784 |
(transitive combth (beta_conversion false (cterm (absu$a)))) |
|
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
785 |
end |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
786 |
handle THM _ => raise THM("equal_abs_elim", 0, [eqth]); |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
787 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
788 |
(*Calling equal_abs_elim with multiple terms*) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
789 |
fun equal_abs_elim_list cts th = foldr (uncurry equal_abs_elim) (rev cts, th); |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
790 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
791 |
local |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
792 |
val alpha = TVar(("'a",0), []) (* type ?'a::{} *) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
793 |
fun err th = raise THM("flexpair_inst: ", 0, [th]) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
794 |
fun flexpair_inst def th = |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
795 |
let val {prop = Const _ $ t $ u, sign,...} = rep_thm th |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
796 |
val cterm = cterm_of sign |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
797 |
fun cvar a = cterm(Var((a,0),alpha)) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
798 |
val def' = cterm_instantiate [(cvar"t", cterm t), (cvar"u", cterm u)] |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
799 |
def |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
800 |
in equal_elim def' th |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
801 |
end |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
802 |
handle THM _ => err th | Bind => err th |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
803 |
in |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
804 |
val flexpair_intr = flexpair_inst (symmetric ProtoPure.flexpair_def) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
805 |
and flexpair_elim = flexpair_inst ProtoPure.flexpair_def |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
806 |
end; |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
807 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
808 |
(*Version for flexflex pairs -- this supports lifting.*) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
809 |
fun flexpair_abs_elim_list cts = |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
810 |
flexpair_intr o equal_abs_elim_list cts o flexpair_elim; |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
811 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
812 |
|
10667 | 813 |
(*** Goal (PROP A) <==> PROP A ***) |
4789 | 814 |
|
815 |
local |
|
10667 | 816 |
val cert = Thm.cterm_of proto_sign; |
817 |
val A = Free ("A", propT); |
|
818 |
val G = Logic.mk_goal A; |
|
4789 | 819 |
val (G_def, _) = freeze_thaw ProtoPure.Goal_def; |
820 |
in |
|
11741 | 821 |
val triv_goal = store_thm "triv_goal" (kind_rule internalK (standard |
10667 | 822 |
(Thm.equal_elim (Thm.symmetric G_def) (Thm.assume (cert A))))); |
11741 | 823 |
val rev_triv_goal = store_thm "rev_triv_goal" (kind_rule internalK (standard |
10667 | 824 |
(Thm.equal_elim G_def (Thm.assume (cert G))))); |
4789 | 825 |
end; |
826 |
||
9460 | 827 |
val mk_cgoal = Thm.capply (Thm.cterm_of proto_sign Logic.goal_const); |
6995 | 828 |
fun assume_goal ct = Thm.assume (mk_cgoal ct) RS rev_triv_goal; |
829 |
||
11815 | 830 |
fun implies_intr_goals cprops thm = |
831 |
implies_elim_list (implies_intr_list cprops thm) (map assume_goal cprops) |
|
832 |
|> implies_intr_list (map mk_cgoal cprops); |
|
833 |
||
4789 | 834 |
|
4285 | 835 |
|
5688 | 836 |
(** variations on instantiate **) |
4285 | 837 |
|
8550
b44c185f8018
new meta-rule "inst", a shorthand for read_instantiate_sg
paulson
parents:
8496
diff
changeset
|
838 |
(*shorthand for instantiating just one variable in the current theory*) |
b44c185f8018
new meta-rule "inst", a shorthand for read_instantiate_sg
paulson
parents:
8496
diff
changeset
|
839 |
fun inst x t = read_instantiate_sg (sign_of (the_context())) [(x,t)]; |
b44c185f8018
new meta-rule "inst", a shorthand for read_instantiate_sg
paulson
parents:
8496
diff
changeset
|
840 |
|
b44c185f8018
new meta-rule "inst", a shorthand for read_instantiate_sg
paulson
parents:
8496
diff
changeset
|
841 |
|
12495 | 842 |
(* collect vars in left-to-right order *) |
4285 | 843 |
|
12495 | 844 |
fun tvars_of_terms ts = rev (foldl Term.add_tvars ([], ts)); |
845 |
fun vars_of_terms ts = rev (foldl Term.add_vars ([], ts)); |
|
5903 | 846 |
|
12800 | 847 |
fun tvars_of thm = tvars_of_terms [prop_of thm]; |
848 |
fun vars_of thm = vars_of_terms [prop_of thm]; |
|
4285 | 849 |
|
850 |
||
851 |
(* instantiate by left-to-right occurrence of variables *) |
|
852 |
||
853 |
fun instantiate' cTs cts thm = |
|
854 |
let |
|
855 |
fun err msg = |
|
856 |
raise TYPE ("instantiate': " ^ msg, |
|
857 |
mapfilter (apsome Thm.typ_of) cTs, |
|
858 |
mapfilter (apsome Thm.term_of) cts); |
|
859 |
||
860 |
fun inst_of (v, ct) = |
|
861 |
(Thm.cterm_of (#sign (Thm.rep_cterm ct)) (Var v), ct) |
|
862 |
handle TYPE (msg, _, _) => err msg; |
|
863 |
||
864 |
fun zip_vars _ [] = [] |
|
865 |
| zip_vars (_ :: vs) (None :: opt_ts) = zip_vars vs opt_ts |
|
866 |
| zip_vars (v :: vs) (Some t :: opt_ts) = (v, t) :: zip_vars vs opt_ts |
|
867 |
| zip_vars [] _ = err "more instantiations than variables in thm"; |
|
868 |
||
869 |
(*instantiate types first!*) |
|
870 |
val thm' = |
|
871 |
if forall is_none cTs then thm |
|
872 |
else Thm.instantiate (zip_vars (map fst (tvars_of thm)) cTs, []) thm; |
|
873 |
in |
|
874 |
if forall is_none cts then thm' |
|
875 |
else Thm.instantiate ([], map inst_of (zip_vars (vars_of thm') cts)) thm' |
|
876 |
end; |
|
877 |
||
878 |
||
5688 | 879 |
(* unvarify(T) *) |
880 |
||
881 |
(*assume thm in standard form, i.e. no frees, 0 var indexes*) |
|
882 |
||
883 |
fun unvarifyT thm = |
|
884 |
let |
|
885 |
val cT = Thm.ctyp_of (Thm.sign_of_thm thm); |
|
886 |
val tfrees = map (fn ((x, _), S) => Some (cT (TFree (x, S)))) (tvars_of thm); |
|
887 |
in instantiate' tfrees [] thm end; |
|
888 |
||
889 |
fun unvarify raw_thm = |
|
890 |
let |
|
891 |
val thm = unvarifyT raw_thm; |
|
892 |
val ct = Thm.cterm_of (Thm.sign_of_thm thm); |
|
893 |
val frees = map (fn ((x, _), T) => Some (ct (Free (x, T)))) (vars_of thm); |
|
894 |
in instantiate' [] frees thm end; |
|
895 |
||
896 |
||
8605 | 897 |
(* tvars_intr_list *) |
898 |
||
899 |
fun tfrees_of thm = |
|
900 |
let val {hyps, prop, ...} = Thm.rep_thm thm |
|
901 |
in foldr Term.add_term_tfree_names (prop :: hyps, []) end; |
|
902 |
||
903 |
fun tvars_intr_list tfrees thm = |
|
904 |
Thm.varifyT' (tfrees_of thm \\ tfrees) thm; |
|
905 |
||
906 |
||
6435 | 907 |
(* increment var indexes *) |
908 |
||
909 |
fun incr_indexes_wrt is cTs cts thms = |
|
910 |
let |
|
911 |
val maxidx = |
|
912 |
foldl Int.max (~1, is @ |
|
913 |
map (maxidx_of_typ o #T o Thm.rep_ctyp) cTs @ |
|
914 |
map (#maxidx o Thm.rep_cterm) cts @ |
|
915 |
map (#maxidx o Thm.rep_thm) thms); |
|
10414 | 916 |
in Thm.incr_indexes (maxidx + 1) end; |
6435 | 917 |
|
918 |
||
8328 | 919 |
(* freeze_all *) |
920 |
||
921 |
(*freeze all (T)Vars; assumes thm in standard form*) |
|
922 |
||
923 |
fun freeze_all_TVars thm = |
|
924 |
(case tvars_of thm of |
|
925 |
[] => thm |
|
926 |
| tvars => |
|
927 |
let val cert = Thm.ctyp_of (Thm.sign_of_thm thm) |
|
928 |
in instantiate' (map (fn ((x, _), S) => Some (cert (TFree (x, S)))) tvars) [] thm end); |
|
929 |
||
930 |
fun freeze_all_Vars thm = |
|
931 |
(case vars_of thm of |
|
932 |
[] => thm |
|
933 |
| vars => |
|
934 |
let val cert = Thm.cterm_of (Thm.sign_of_thm thm) |
|
935 |
in instantiate' [] (map (fn ((x, _), T) => Some (cert (Free (x, T)))) vars) thm end); |
|
936 |
||
937 |
val freeze_all = freeze_all_Vars o freeze_all_TVars; |
|
938 |
||
939 |
||
5688 | 940 |
(* mk_triv_goal *) |
941 |
||
942 |
(*make an initial proof state, "PROP A ==> (PROP A)" *) |
|
5311
f3f71669878e
Rule mk_triv_goal for making instances of triv_goal
paulson
parents:
5079
diff
changeset
|
943 |
fun mk_triv_goal ct = instantiate' [] [Some ct] triv_goal; |
f3f71669878e
Rule mk_triv_goal for making instances of triv_goal
paulson
parents:
5079
diff
changeset
|
944 |
|
11975 | 945 |
|
946 |
||
947 |
(** meta-level conjunction **) |
|
948 |
||
949 |
local |
|
950 |
val A = read_prop "PROP A"; |
|
951 |
val B = read_prop "PROP B"; |
|
952 |
val C = read_prop "PROP C"; |
|
953 |
val ABC = read_prop "PROP A ==> PROP B ==> PROP C"; |
|
954 |
||
955 |
val proj1 = |
|
956 |
forall_intr_list [A, B] (implies_intr_list [A, B] (Thm.assume A)) |
|
957 |
|> forall_elim_vars 0; |
|
958 |
||
959 |
val proj2 = |
|
960 |
forall_intr_list [A, B] (implies_intr_list [A, B] (Thm.assume B)) |
|
961 |
|> forall_elim_vars 0; |
|
962 |
||
963 |
val conj_intr_rule = |
|
964 |
forall_intr_list [A, B] (implies_intr_list [A, B] |
|
965 |
(Thm.forall_intr C (Thm.implies_intr ABC |
|
966 |
(implies_elim_list (Thm.assume ABC) [Thm.assume A, Thm.assume B])))) |
|
967 |
|> forall_elim_vars 0; |
|
968 |
||
969 |
val incr = incr_indexes_wrt [] [] []; |
|
970 |
in |
|
971 |
||
972 |
fun conj_intr tha thb = thb COMP (tha COMP incr [tha, thb] conj_intr_rule); |
|
12756
08bf3d911968
conj_intr_list and conj_elim_precise: cover 0 conjuncts;
wenzelm
parents:
12725
diff
changeset
|
973 |
|
08bf3d911968
conj_intr_list and conj_elim_precise: cover 0 conjuncts;
wenzelm
parents:
12725
diff
changeset
|
974 |
fun conj_intr_list [] = asm_rl |
08bf3d911968
conj_intr_list and conj_elim_precise: cover 0 conjuncts;
wenzelm
parents:
12725
diff
changeset
|
975 |
| conj_intr_list ths = foldr1 (uncurry conj_intr) ths; |
11975 | 976 |
|
977 |
fun conj_elim th = |
|
978 |
let val th' = forall_elim_var (#maxidx (Thm.rep_thm th) + 1) th |
|
979 |
in (incr [th'] proj1 COMP th', incr [th'] proj2 COMP th') end; |
|
980 |
||
981 |
fun conj_elim_list th = |
|
982 |
let val (th1, th2) = conj_elim th |
|
983 |
in conj_elim_list th1 @ conj_elim_list th2 end handle THM _ => [th]; |
|
984 |
||
12756
08bf3d911968
conj_intr_list and conj_elim_precise: cover 0 conjuncts;
wenzelm
parents:
12725
diff
changeset
|
985 |
fun conj_elim_precise 0 _ = [] |
08bf3d911968
conj_intr_list and conj_elim_precise: cover 0 conjuncts;
wenzelm
parents:
12725
diff
changeset
|
986 |
| conj_elim_precise 1 th = [th] |
12135 | 987 |
| conj_elim_precise n th = |
988 |
let val (th1, th2) = conj_elim th |
|
989 |
in th1 :: conj_elim_precise (n - 1) th2 end; |
|
990 |
||
991 |
val conj_intr_thm = store_standard_thm_open "conjunctionI" |
|
992 |
(implies_intr_list [A, B] (conj_intr (Thm.assume A) (Thm.assume B))); |
|
993 |
||
0 | 994 |
end; |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
995 |
|
11975 | 996 |
end; |
5903 | 997 |
|
998 |
structure BasicDrule: BASIC_DRULE = Drule; |
|
999 |
open BasicDrule; |