author | wenzelm |
Tue, 19 Jun 2007 23:15:51 +0200 | |
changeset 23423 | b2d64f86d21b |
parent 23178 | 07ba6b58b3d2 |
child 23439 | 8c7da8649f2f |
permissions | -rw-r--r-- |
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1 |
(* Title: Pure/drule.ML |
0 | 2 |
ID: $Id$ |
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3 |
Author: Lawrence C Paulson, Cambridge University Computer Laboratory |
0 | 4 |
Copyright 1993 University of Cambridge |
5 |
||
3766 | 6 |
Derived rules and other operations on theorems. |
0 | 7 |
*) |
8 |
||
21578 | 9 |
infix 0 RS RSN RL RLN MRS MRL OF COMP INCR_COMP COMP_INCR; |
0 | 10 |
|
5903 | 11 |
signature BASIC_DRULE = |
3766 | 12 |
sig |
18179 | 13 |
val mk_implies: cterm * cterm -> cterm |
14 |
val list_implies: cterm list * cterm -> cterm |
|
15 |
val strip_imp_prems: cterm -> cterm list |
|
16 |
val strip_imp_concl: cterm -> cterm |
|
17 |
val cprems_of: thm -> cterm list |
|
18 |
val cterm_fun: (term -> term) -> (cterm -> cterm) |
|
19 |
val ctyp_fun: (typ -> typ) -> (ctyp -> ctyp) |
|
18206 | 20 |
val read_insts: theory -> (indexname -> typ option) * (indexname -> sort option) -> |
21 |
(indexname -> typ option) * (indexname -> sort option) -> string list -> |
|
22 |
(indexname * string) list -> (ctyp * ctyp) list * (cterm * cterm) list |
|
4285 | 23 |
val types_sorts: thm -> (indexname-> typ option) * (indexname-> sort option) |
18179 | 24 |
val forall_intr_list: cterm list -> thm -> thm |
25 |
val forall_intr_frees: thm -> thm |
|
26 |
val forall_intr_vars: thm -> thm |
|
27 |
val forall_elim_list: cterm list -> thm -> thm |
|
28 |
val forall_elim_var: int -> thm -> thm |
|
29 |
val forall_elim_vars: int -> thm -> thm |
|
30 |
val gen_all: thm -> thm |
|
31 |
val lift_all: cterm -> thm -> thm |
|
32 |
val freeze_thaw: thm -> thm * (thm -> thm) |
|
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33 |
val freeze_thaw_robust: thm -> thm * (int -> thm -> thm) |
18179 | 34 |
val implies_elim_list: thm -> thm list -> thm |
35 |
val implies_intr_list: cterm list -> thm -> thm |
|
18206 | 36 |
val instantiate: (ctyp * ctyp) list * (cterm * cterm) list -> thm -> thm |
21603 | 37 |
val zero_var_indexes_list: thm list -> thm list |
18179 | 38 |
val zero_var_indexes: thm -> thm |
39 |
val implies_intr_hyps: thm -> thm |
|
40 |
val standard: thm -> thm |
|
41 |
val standard': thm -> thm |
|
42 |
val rotate_prems: int -> thm -> thm |
|
43 |
val rearrange_prems: int list -> thm -> thm |
|
44 |
val RSN: thm * (int * thm) -> thm |
|
45 |
val RS: thm * thm -> thm |
|
46 |
val RLN: thm list * (int * thm list) -> thm list |
|
47 |
val RL: thm list * thm list -> thm list |
|
48 |
val MRS: thm list * thm -> thm |
|
49 |
val MRL: thm list list * thm list -> thm list |
|
50 |
val OF: thm * thm list -> thm |
|
51 |
val compose: thm * int * thm -> thm list |
|
52 |
val COMP: thm * thm -> thm |
|
21578 | 53 |
val INCR_COMP: thm * thm -> thm |
54 |
val COMP_INCR: thm * thm -> thm |
|
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55 |
val read_instantiate_sg: theory -> (string*string)list -> thm -> thm |
18179 | 56 |
val read_instantiate: (string*string)list -> thm -> thm |
57 |
val cterm_instantiate: (cterm*cterm)list -> thm -> thm |
|
58 |
val size_of_thm: thm -> int |
|
59 |
val reflexive_thm: thm |
|
60 |
val symmetric_thm: thm |
|
61 |
val transitive_thm: thm |
|
62 |
val symmetric_fun: thm -> thm |
|
63 |
val extensional: thm -> thm |
|
18820 | 64 |
val equals_cong: thm |
18179 | 65 |
val imp_cong: thm |
66 |
val swap_prems_eq: thm |
|
67 |
val asm_rl: thm |
|
68 |
val cut_rl: thm |
|
69 |
val revcut_rl: thm |
|
70 |
val thin_rl: thm |
|
4285 | 71 |
val triv_forall_equality: thm |
19051 | 72 |
val distinct_prems_rl: thm |
18179 | 73 |
val swap_prems_rl: thm |
74 |
val equal_intr_rule: thm |
|
75 |
val equal_elim_rule1: thm |
|
19421 | 76 |
val equal_elim_rule2: thm |
18179 | 77 |
val instantiate': ctyp option list -> cterm option list -> thm -> thm |
5903 | 78 |
end; |
79 |
||
80 |
signature DRULE = |
|
81 |
sig |
|
82 |
include BASIC_DRULE |
|
19999 | 83 |
val generalize: string list * string list -> thm -> thm |
15949 | 84 |
val list_comb: cterm * cterm list -> cterm |
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85 |
val strip_comb: cterm -> cterm * cterm list |
15262 | 86 |
val strip_type: ctyp -> ctyp list * ctyp |
15949 | 87 |
val beta_conv: cterm -> cterm -> cterm |
15669 | 88 |
val add_used: thm -> string list -> string list |
17713 | 89 |
val flexflex_unique: thm -> thm |
11975 | 90 |
val close_derivation: thm -> thm |
19421 | 91 |
val store_thm: bstring -> thm -> thm |
92 |
val store_standard_thm: bstring -> thm -> thm |
|
93 |
val store_thm_open: bstring -> thm -> thm |
|
94 |
val store_standard_thm_open: bstring -> thm -> thm |
|
11975 | 95 |
val compose_single: thm * int * thm -> thm |
12373 | 96 |
val add_rule: thm -> thm list -> thm list |
97 |
val del_rule: thm -> thm list -> thm list |
|
11975 | 98 |
val merge_rules: thm list * thm list -> thm list |
18468 | 99 |
val imp_cong_rule: thm -> thm -> thm |
22939 | 100 |
val arg_cong_rule: cterm -> thm -> thm |
101 |
val fun_cong_rule: thm -> cterm -> thm |
|
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102 |
val beta_eta_conversion: cterm -> thm |
15925 | 103 |
val eta_long_conversion: cterm -> thm |
20861 | 104 |
val eta_contraction_rule: thm -> thm |
11975 | 105 |
val norm_hhf_eq: thm |
12800 | 106 |
val is_norm_hhf: term -> bool |
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107 |
val norm_hhf: theory -> term -> term |
20298 | 108 |
val norm_hhf_cterm: cterm -> cterm |
19878 | 109 |
val unvarify: thm -> thm |
18025 | 110 |
val protect: cterm -> cterm |
111 |
val protectI: thm |
|
112 |
val protectD: thm |
|
18179 | 113 |
val protect_cong: thm |
18025 | 114 |
val implies_intr_protected: cterm list -> thm -> thm |
19775 | 115 |
val termI: thm |
116 |
val mk_term: cterm -> thm |
|
117 |
val dest_term: thm -> cterm |
|
21519 | 118 |
val cterm_rule: (thm -> thm) -> cterm -> cterm |
20881 | 119 |
val term_rule: theory -> (thm -> thm) -> term -> term |
19523 | 120 |
val sort_triv: theory -> typ * sort -> thm list |
19504 | 121 |
val unconstrainTs: thm -> thm |
23423 | 122 |
val with_subgoal: int -> (thm -> thm) -> thm -> thm |
14081 | 123 |
val rename_bvars: (string * string) list -> thm -> thm |
124 |
val rename_bvars': string option list -> thm -> thm |
|
19124 | 125 |
val incr_indexes: thm -> thm -> thm |
126 |
val incr_indexes2: thm -> thm -> thm -> thm |
|
12297 | 127 |
val remdups_rl: thm |
18225 | 128 |
val multi_resolve: thm list -> thm -> thm Seq.seq |
129 |
val multi_resolves: thm list -> thm list -> thm Seq.seq |
|
13325 | 130 |
val abs_def: thm -> thm |
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131 |
val read_instantiate_sg': theory -> (indexname * string) list -> thm -> thm |
15797 | 132 |
val read_instantiate': (indexname * string) list -> thm -> thm |
3766 | 133 |
end; |
0 | 134 |
|
5903 | 135 |
structure Drule: DRULE = |
0 | 136 |
struct |
137 |
||
3991 | 138 |
|
16682 | 139 |
(** some cterm->cterm operations: faster than calling cterm_of! **) |
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140 |
|
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141 |
(* A1==>...An==>B goes to [A1,...,An], where B is not an implication *) |
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142 |
fun strip_imp_prems ct = |
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143 |
let val (cA, cB) = Thm.dest_implies ct |
20579 | 144 |
in cA :: strip_imp_prems cB end |
145 |
handle TERM _ => []; |
|
708
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146 |
|
2004
3411fe560611
New operations on cterms. Now same names as in Logic
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(* A1==>...An==>B goes to B, where B is not an implication *) |
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148 |
fun strip_imp_concl ct = |
20579 | 149 |
(case Thm.term_of ct of |
150 |
Const ("==>", _) $ _ $ _ => strip_imp_concl (Thm.dest_arg ct) |
|
151 |
| _ => ct); |
|
2004
3411fe560611
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152 |
|
708
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
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153 |
(*The premises of a theorem, as a cterm list*) |
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154 |
val cprems_of = strip_imp_prems o cprop_of; |
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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155 |
|
15797 | 156 |
fun cterm_fun f ct = |
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157 |
let val {t, thy, ...} = Thm.rep_cterm ct |
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158 |
in Thm.cterm_of thy (f t) end; |
15797 | 159 |
|
160 |
fun ctyp_fun f cT = |
|
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161 |
let val {T, thy, ...} = Thm.rep_ctyp cT |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
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162 |
in Thm.ctyp_of thy (f T) end; |
15797 | 163 |
|
19421 | 164 |
val cert = cterm_of ProtoPure.thy; |
9547 | 165 |
|
19421 | 166 |
val implies = cert Term.implies; |
19183 | 167 |
fun mk_implies (A, B) = Thm.capply (Thm.capply implies A) B; |
9547 | 168 |
|
169 |
(*cterm version of list_implies: [A1,...,An], B goes to [|A1;==>;An|]==>B *) |
|
170 |
fun list_implies([], B) = B |
|
171 |
| list_implies(A::AS, B) = mk_implies (A, list_implies(AS,B)); |
|
172 |
||
15949 | 173 |
(*cterm version of list_comb: maps (f, [t1,...,tn]) to f(t1,...,tn) *) |
174 |
fun list_comb (f, []) = f |
|
175 |
| list_comb (f, t::ts) = list_comb (Thm.capply f t, ts); |
|
176 |
||
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parents:
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177 |
(*cterm version of strip_comb: maps f(t1,...,tn) to (f, [t1,...,tn]) *) |
18179 | 178 |
fun strip_comb ct = |
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179 |
let |
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|
180 |
fun stripc (p as (ct, cts)) = |
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181 |
let val (ct1, ct2) = Thm.dest_comb ct |
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182 |
in stripc (ct1, ct2 :: cts) end handle CTERM _ => p |
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183 |
in stripc (ct, []) end; |
53bfe07a7916
New function strip_comb (cterm version of Term.strip_comb).
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184 |
|
15262 | 185 |
(* cterm version of strip_type: maps [T1,...,Tn]--->T to ([T1,T2,...,Tn], T) *) |
186 |
fun strip_type cT = (case Thm.typ_of cT of |
|
187 |
Type ("fun", _) => |
|
188 |
let |
|
189 |
val [cT1, cT2] = Thm.dest_ctyp cT; |
|
190 |
val (cTs, cT') = strip_type cT2 |
|
191 |
in (cT1 :: cTs, cT') end |
|
192 |
| _ => ([], cT)); |
|
193 |
||
15949 | 194 |
(*Beta-conversion for cterms, where x is an abstraction. Simply returns the rhs |
195 |
of the meta-equality returned by the beta_conversion rule.*) |
|
18179 | 196 |
fun beta_conv x y = |
20579 | 197 |
Thm.dest_arg (cprop_of (Thm.beta_conversion false (Thm.capply x y))); |
15949 | 198 |
|
15875 | 199 |
|
708
8422e50adce0
Pure/drule/cprems_of, cskip_flexpairs, cstrip_imp_prems: new cterm operations
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parents:
668
diff
changeset
|
200 |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
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parents:
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|
201 |
(** reading of instantiations **) |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
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parents:
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|
202 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
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diff
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203 |
fun absent ixn = |
22681
9d42e5365ad1
cleaned/simplified Sign.read_typ, Thm.read_cterm etc.;
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204 |
error("No such variable in term: " ^ Term.string_of_vname ixn); |
229
4002c4cd450c
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parents:
214
diff
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|
205 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
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parents:
214
diff
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|
206 |
fun inst_failure ixn = |
22681
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cleaned/simplified Sign.read_typ, Thm.read_cterm etc.;
wenzelm
parents:
22561
diff
changeset
|
207 |
error("Instantiation of " ^ Term.string_of_vname ixn ^ " fails"); |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
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parents:
214
diff
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|
208 |
|
16425
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accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
209 |
fun read_insts thy (rtypes,rsorts) (types,sorts) used insts = |
10403 | 210 |
let |
15442
3b75e1b22ff1
Added variants of instantiation functions that operate on pairs of type
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|
211 |
fun is_tv ((a, _), _) = |
3b75e1b22ff1
Added variants of instantiation functions that operate on pairs of type
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parents:
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diff
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|
212 |
(case Symbol.explode a of "'" :: _ => true | _ => false); |
15570 | 213 |
val (tvs, vs) = List.partition is_tv insts; |
15797 | 214 |
fun sort_of ixn = case rsorts ixn of SOME S => S | NONE => absent ixn; |
15442
3b75e1b22ff1
Added variants of instantiation functions that operate on pairs of type
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parents:
15262
diff
changeset
|
215 |
fun readT (ixn, st) = |
15797 | 216 |
let val S = sort_of ixn; |
22681
9d42e5365ad1
cleaned/simplified Sign.read_typ, Thm.read_cterm etc.;
wenzelm
parents:
22561
diff
changeset
|
217 |
val T = Sign.read_def_typ (thy,sorts) st; |
16425
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accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
218 |
in if Sign.typ_instance thy (T, TVar(ixn,S)) then (ixn,T) |
4281
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
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parents:
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diff
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|
219 |
else inst_failure ixn |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
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parents:
4270
diff
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|
220 |
end |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
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parents:
4270
diff
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|
221 |
val tye = map readT tvs; |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
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parents:
4270
diff
changeset
|
222 |
fun mkty(ixn,st) = (case rtypes ixn of |
15531 | 223 |
SOME T => (ixn,(st,typ_subst_TVars tye T)) |
224 |
| NONE => absent ixn); |
|
4281
6c6073b13600
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parents:
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diff
changeset
|
225 |
val ixnsTs = map mkty vs; |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
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parents:
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diff
changeset
|
226 |
val ixns = map fst ixnsTs |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
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parents:
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diff
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|
227 |
and sTs = map snd ixnsTs |
22681
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cleaned/simplified Sign.read_typ, Thm.read_cterm etc.;
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parents:
22561
diff
changeset
|
228 |
val (cts,tye2) = Thm.read_def_cterms(thy,types,sorts) used false sTs; |
4281
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
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parents:
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changeset
|
229 |
fun mkcVar(ixn,T) = |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
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parents:
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changeset
|
230 |
let val U = typ_subst_TVars tye2 T |
16425
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accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
231 |
in cterm_of thy (Var(ixn,U)) end |
4281
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Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
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diff
changeset
|
232 |
val ixnTs = ListPair.zip(ixns, map snd sTs) |
16425
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accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
233 |
in (map (fn (ixn, T) => (ctyp_of thy (TVar (ixn, sort_of ixn)), |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
234 |
ctyp_of thy T)) (tye2 @ tye), |
4281
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
235 |
ListPair.zip(map mkcVar ixnTs,cts)) |
6c6073b13600
Added read_def_cterms for simultaneous reading/typing of terms under
nipkow
parents:
4270
diff
changeset
|
236 |
end; |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
237 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
238 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
239 |
(*** Find the type (sort) associated with a (T)Var or (T)Free in a term |
0 | 240 |
Used for establishing default types (of variables) and sorts (of |
241 |
type variables) when reading another term. |
|
242 |
Index -1 indicates that a (T)Free rather than a (T)Var is wanted. |
|
243 |
***) |
|
244 |
||
245 |
fun types_sorts thm = |
|
20329 | 246 |
let |
22695
17073e9b94f2
moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents:
22681
diff
changeset
|
247 |
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
|
248 |
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
|
249 |
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
|
250 |
val tfrees = Thm.fold_terms Term.add_tfrees thm []; |
20329 | 251 |
fun types (a, i) = |
252 |
if i < 0 then AList.lookup (op =) frees a else AList.lookup (op =) vars (a, i); |
|
253 |
fun sorts (a, i) = |
|
254 |
if i < 0 then AList.lookup (op =) tfrees a else AList.lookup (op =) tvars (a, i); |
|
255 |
in (types, sorts) end; |
|
0 | 256 |
|
20329 | 257 |
val add_used = |
22695
17073e9b94f2
moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents:
22681
diff
changeset
|
258 |
(Thm.fold_terms o fold_types o fold_atyps) |
20329 | 259 |
(fn TFree (a, _) => insert (op =) a |
260 |
| TVar ((a, _), _) => insert (op =) a |
|
261 |
| _ => I); |
|
15669 | 262 |
|
7636 | 263 |
|
9455 | 264 |
|
0 | 265 |
(** Standardization of rules **) |
266 |
||
19523 | 267 |
(* type classes and sorts *) |
268 |
||
269 |
fun sort_triv thy (T, S) = |
|
270 |
let |
|
271 |
val certT = Thm.ctyp_of thy; |
|
272 |
val cT = certT T; |
|
273 |
fun class_triv c = |
|
274 |
Thm.class_triv thy c |
|
275 |
|> Thm.instantiate ([(certT (TVar (("'a", 0), [c])), cT)], []); |
|
276 |
in map class_triv S end; |
|
277 |
||
19504 | 278 |
fun unconstrainTs th = |
20298 | 279 |
fold (Thm.unconstrainT o Thm.ctyp_of (Thm.theory_of_thm th) o TVar) |
22695
17073e9b94f2
moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents:
22681
diff
changeset
|
280 |
(Thm.fold_terms Term.add_tvars th []) th; |
19504 | 281 |
|
19730 | 282 |
(*Generalization over a list of variables*) |
283 |
val forall_intr_list = fold_rev forall_intr; |
|
0 | 284 |
|
285 |
(*Generalization over all suitable Free variables*) |
|
286 |
fun forall_intr_frees th = |
|
19730 | 287 |
let |
288 |
val {prop, hyps, tpairs, thy,...} = rep_thm th; |
|
289 |
val fixed = fold Term.add_frees (Thm.terms_of_tpairs tpairs @ hyps) []; |
|
290 |
val frees = Term.fold_aterms (fn Free v => |
|
291 |
if member (op =) fixed v then I else insert (op =) v | _ => I) prop []; |
|
292 |
in fold (forall_intr o cterm_of thy o Free) frees th end; |
|
0 | 293 |
|
18535 | 294 |
(*Generalization over Vars -- canonical order*) |
295 |
fun forall_intr_vars th = |
|
20298 | 296 |
fold forall_intr |
22695
17073e9b94f2
moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents:
22681
diff
changeset
|
297 |
(map (Thm.cterm_of (Thm.theory_of_thm th) o Var) (Thm.fold_terms Term.add_vars th [])) th; |
18535 | 298 |
|
7898 | 299 |
val forall_elim_var = PureThy.forall_elim_var; |
300 |
val forall_elim_vars = PureThy.forall_elim_vars; |
|
0 | 301 |
|
18025 | 302 |
fun outer_params t = |
20077
4fc9a4fef219
replaced Term.variant(list) by Name.variant(_list);
wenzelm
parents:
19999
diff
changeset
|
303 |
let val vs = Term.strip_all_vars t |
4fc9a4fef219
replaced Term.variant(list) by Name.variant(_list);
wenzelm
parents:
19999
diff
changeset
|
304 |
in Name.variant_list [] (map (Name.clean o #1) vs) ~~ map #2 vs end; |
18025 | 305 |
|
306 |
(*generalize outermost parameters*) |
|
307 |
fun gen_all th = |
|
12719
41e0d086f8b6
improved forall_elim_vars_safe (no longer invents new indexes);
wenzelm
parents:
12710
diff
changeset
|
308 |
let |
18025 | 309 |
val {thy, prop, maxidx, ...} = Thm.rep_thm th; |
310 |
val cert = Thm.cterm_of thy; |
|
311 |
fun elim (x, T) = Thm.forall_elim (cert (Var ((x, maxidx + 1), T))); |
|
312 |
in fold elim (outer_params prop) th end; |
|
313 |
||
314 |
(*lift vars wrt. outermost goal parameters |
|
18118 | 315 |
-- reverses the effect of gen_all modulo higher-order unification*) |
18025 | 316 |
fun lift_all goal th = |
317 |
let |
|
318 |
val thy = Theory.merge (Thm.theory_of_cterm goal, Thm.theory_of_thm th); |
|
319 |
val cert = Thm.cterm_of thy; |
|
19421 | 320 |
val maxidx = Thm.maxidx_of th; |
18025 | 321 |
val ps = outer_params (Thm.term_of goal) |
322 |
|> map (fn (x, T) => Var ((x, maxidx + 1), Logic.incr_tvar (maxidx + 1) T)); |
|
323 |
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
|
324 |
val inst = Thm.fold_terms Term.add_vars th [] |> map (fn (xi, T) => |
18025 | 325 |
(cert (Var (xi, T)), cert (Term.list_comb (Var (xi, Ts ---> T), ps)))); |
326 |
in |
|
327 |
th |> Thm.instantiate ([], inst) |
|
328 |
|> fold_rev (Thm.forall_intr o cert) ps |
|
329 |
end; |
|
330 |
||
19999 | 331 |
(*direct generalization*) |
332 |
fun generalize names th = Thm.generalize names (Thm.maxidx_of th + 1) th; |
|
9554 | 333 |
|
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
334 |
(*specialization over a list of cterms*) |
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
335 |
val forall_elim_list = fold forall_elim; |
0 | 336 |
|
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
337 |
(*maps A1,...,An |- B to [| A1;...;An |] ==> B*) |
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
338 |
val implies_intr_list = fold_rev implies_intr; |
0 | 339 |
|
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
340 |
(*maps [| A1;...;An |] ==> B and [A1,...,An] to B*) |
15570 | 341 |
fun implies_elim_list impth ths = Library.foldl (uncurry implies_elim) (impth,ths); |
0 | 342 |
|
343 |
(*Reset Var indexes to zero, renaming to preserve distinctness*) |
|
21603 | 344 |
fun zero_var_indexes_list [] = [] |
345 |
| zero_var_indexes_list ths = |
|
346 |
let |
|
347 |
val thy = Theory.merge_list (map Thm.theory_of_thm ths); |
|
348 |
val certT = Thm.ctyp_of thy and cert = Thm.cterm_of thy; |
|
349 |
val (instT, inst) = TermSubst.zero_var_indexes_inst (map Thm.full_prop_of ths); |
|
350 |
val cinstT = map (fn (v, T) => (certT (TVar v), certT T)) instT; |
|
351 |
val cinst = map (fn (v, t) => (cert (Var v), cert t)) inst; |
|
352 |
in map (Thm.adjust_maxidx_thm ~1 o Thm.instantiate (cinstT, cinst)) ths end; |
|
353 |
||
354 |
val zero_var_indexes = singleton zero_var_indexes_list; |
|
0 | 355 |
|
356 |
||
14394 | 357 |
(** Standard form of object-rule: no hypotheses, flexflex constraints, |
358 |
Frees, or outer quantifiers; all generality expressed by Vars of index 0.**) |
|
10515 | 359 |
|
16595 | 360 |
(*Discharge all hypotheses.*) |
361 |
fun implies_intr_hyps th = |
|
362 |
fold Thm.implies_intr (#hyps (Thm.crep_thm th)) th; |
|
363 |
||
14394 | 364 |
(*Squash a theorem's flexflex constraints provided it can be done uniquely. |
365 |
This step can lose information.*) |
|
14387
e96d5c42c4b0
Polymorphic treatment of binary arithmetic using axclasses
paulson
parents:
14340
diff
changeset
|
366 |
fun flexflex_unique th = |
17713 | 367 |
if null (tpairs_of th) then th else |
19861 | 368 |
case Seq.chop 2 (flexflex_rule th) of |
14387
e96d5c42c4b0
Polymorphic treatment of binary arithmetic using axclasses
paulson
parents:
14340
diff
changeset
|
369 |
([th],_) => th |
e96d5c42c4b0
Polymorphic treatment of binary arithmetic using axclasses
paulson
parents:
14340
diff
changeset
|
370 |
| ([],_) => raise THM("flexflex_unique: impossible constraints", 0, [th]) |
e96d5c42c4b0
Polymorphic treatment of binary arithmetic using axclasses
paulson
parents:
14340
diff
changeset
|
371 |
| _ => raise THM("flexflex_unique: multiple unifiers", 0, [th]); |
e96d5c42c4b0
Polymorphic treatment of binary arithmetic using axclasses
paulson
parents:
14340
diff
changeset
|
372 |
|
10515 | 373 |
fun close_derivation thm = |
21646
c07b5b0e8492
thm/prf: separate official name vs. additional tags;
wenzelm
parents:
21603
diff
changeset
|
374 |
if Thm.get_name thm = "" then Thm.put_name "" thm |
10515 | 375 |
else thm; |
376 |
||
21603 | 377 |
|
378 |
(* legacy standard operations *) |
|
379 |
||
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
380 |
val standard' = |
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
381 |
implies_intr_hyps |
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
382 |
#> forall_intr_frees |
19421 | 383 |
#> `Thm.maxidx_of |
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
384 |
#-> (fn maxidx => |
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
385 |
forall_elim_vars (maxidx + 1) |
20904 | 386 |
#> Thm.strip_shyps |
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
387 |
#> zero_var_indexes |
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
388 |
#> Thm.varifyT |
21600
222810ce6b05
*** bad commit -- reverted to previous version ***
wenzelm
parents:
21596
diff
changeset
|
389 |
#> Thm.compress); |
1218
59ed8ef1a3a1
modified pretty_thm, standard, eq_thm to handle shyps;
wenzelm
parents:
1194
diff
changeset
|
390 |
|
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
391 |
val standard = |
21600
222810ce6b05
*** bad commit -- reverted to previous version ***
wenzelm
parents:
21596
diff
changeset
|
392 |
flexflex_unique |
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
393 |
#> standard' |
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
394 |
#> close_derivation; |
11512
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
395 |
|
0 | 396 |
|
8328 | 397 |
(*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
|
398 |
reversing that operation. DOES NOT WORK FOR TYPE VARIABLES. |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
399 |
Similar code in type/freeze_thaw*) |
15495
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
400 |
|
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
401 |
fun freeze_thaw_robust th = |
19878 | 402 |
let val fth = Thm.freezeT th |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
403 |
val {prop, tpairs, thy, ...} = rep_thm fth |
15495
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
404 |
in |
23178 | 405 |
case List.foldr add_term_vars [] (prop :: Thm.terms_of_tpairs tpairs) of |
15495
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
406 |
[] => (fth, fn i => fn x => x) (*No vars: nothing to do!*) |
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
407 |
| vars => |
19753 | 408 |
let fun newName (Var(ix,_)) = (ix, gensym (string_of_indexname ix)) |
409 |
val alist = map newName vars |
|
15495
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
410 |
fun mk_inst (Var(v,T)) = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
411 |
(cterm_of thy (Var(v,T)), |
17325 | 412 |
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
|
413 |
val insts = map mk_inst vars |
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
414 |
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
|
415 |
th' |> forall_intr_list (map #2 insts) |
22906
195b7515911a
moved some operations to more_thm.ML and conv.ML;
wenzelm
parents:
22695
diff
changeset
|
416 |
|> 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
|
417 |
in (Thm.instantiate ([],insts) fth, thaw) end |
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
418 |
end; |
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
419 |
|
50fde6f04e4c
new treatment of demodulation in proof reconstruction
paulson
parents:
15442
diff
changeset
|
420 |
(*Basic version of the function above. No option to rename Vars apart in thaw. |
19999 | 421 |
The Frees created from Vars have nice names. FIXME: does not check for |
19753 | 422 |
clashes with variables in the assumptions, so delete and use freeze_thaw_robust instead?*) |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
423 |
fun freeze_thaw th = |
19878 | 424 |
let val fth = Thm.freezeT th |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
425 |
val {prop, tpairs, thy, ...} = rep_thm fth |
7248
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
426 |
in |
23178 | 427 |
case List.foldr add_term_vars [] (prop :: Thm.terms_of_tpairs tpairs) of |
7248
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
428 |
[] => (fth, fn x => x) |
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
429 |
| vars => |
8328 | 430 |
let fun newName (Var(ix,_), (pairs,used)) = |
20077
4fc9a4fef219
replaced Term.variant(list) by Name.variant(_list);
wenzelm
parents:
19999
diff
changeset
|
431 |
let val v = Name.variant used (string_of_indexname ix) |
8328 | 432 |
in ((ix,v)::pairs, v::used) end; |
23178 | 433 |
val (alist, _) = List.foldr newName ([], Library.foldr add_term_names |
15574
b1d1b5bfc464
Removed practically all references to Library.foldr.
skalberg
parents:
15570
diff
changeset
|
434 |
(prop :: Thm.terms_of_tpairs tpairs, [])) vars |
8328 | 435 |
fun mk_inst (Var(v,T)) = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
436 |
(cterm_of thy (Var(v,T)), |
17325 | 437 |
cterm_of thy (Free(((the o AList.lookup (op =) alist) v), T))) |
8328 | 438 |
val insts = map mk_inst vars |
439 |
fun thaw th' = |
|
440 |
th' |> forall_intr_list (map #2 insts) |
|
441 |
|> forall_elim_list (map #1 insts) |
|
442 |
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
|
443 |
end; |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
444 |
|
7248
322151fe6f02
new primitive rule permute_prems to underlie defer_tac and rotate_prems
paulson
parents:
6995
diff
changeset
|
445 |
(*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
|
446 |
val rotate_prems = permute_prems 0; |
23423 | 447 |
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
|
448 |
|
11163 | 449 |
(* permute prems, where the i-th position in the argument list (counting from 0) |
450 |
gives the position within the original thm to be transferred to position i. |
|
451 |
Any remaining trailing positions are left unchanged. *) |
|
452 |
val rearrange_prems = let |
|
453 |
fun rearr new [] thm = thm |
|
11815 | 454 |
| rearr new (p::ps) thm = rearr (new+1) |
11163 | 455 |
(map (fn q => if new<=q andalso q<p then q+1 else q) ps) |
456 |
(permute_prems (new+1) (new-p) (permute_prems new (p-new) thm)) |
|
457 |
in rearr 0 end; |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
458 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
459 |
(*Resolution: exactly one resolvent must be produced.*) |
0 | 460 |
fun tha RSN (i,thb) = |
19861 | 461 |
case Seq.chop 2 (biresolution false [(false,tha)] i thb) of |
0 | 462 |
([th],_) => th |
463 |
| ([],_) => raise THM("RSN: no unifiers", i, [tha,thb]) |
|
464 |
| _ => raise THM("RSN: multiple unifiers", i, [tha,thb]); |
|
465 |
||
466 |
(*resolution: P==>Q, Q==>R gives P==>R. *) |
|
467 |
fun tha RS thb = tha RSN (1,thb); |
|
468 |
||
469 |
(*For joining lists of rules*) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
470 |
fun thas RLN (i,thbs) = |
0 | 471 |
let val resolve = biresolution false (map (pair false) thas) i |
4270 | 472 |
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
|
473 |
in maps resb thbs end; |
0 | 474 |
|
475 |
fun thas RL thbs = thas RLN (1,thbs); |
|
476 |
||
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
477 |
(*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
|
478 |
makes proof trees*) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
479 |
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
|
480 |
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
|
481 |
| 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
|
482 |
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
|
483 |
|
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
484 |
(*As above, but for rule lists*) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
485 |
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
|
486 |
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
|
487 |
| 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
|
488 |
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
|
489 |
|
9288
06a55195741b
infix 'OF' is a version of 'MRS' with more appropriate argument order;
wenzelm
parents:
8605
diff
changeset
|
490 |
(*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
|
491 |
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
|
492 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
493 |
(*compose Q and [...,Qi,Q(i+1),...]==>R to [...,Q(i+1),...]==>R |
0 | 494 |
with no lifting or renaming! Q may contain ==> or meta-quants |
495 |
ALWAYS deletes premise i *) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
496 |
fun compose(tha,i,thb) = |
4270 | 497 |
Seq.list_of (bicompose false (false,tha,0) i thb); |
0 | 498 |
|
6946 | 499 |
fun compose_single (tha,i,thb) = |
500 |
(case compose (tha,i,thb) of |
|
501 |
[th] => th |
|
502 |
| _ => raise THM ("compose: unique result expected", i, [tha,thb])); |
|
503 |
||
0 | 504 |
(*compose Q and [Q1,Q2,...,Qk]==>R to [Q2,...,Qk]==>R getting unique result*) |
505 |
fun tha COMP thb = |
|
22360
26ead7ed4f4b
moved eq_thm etc. to structure Thm in Pure/more_thm.ML;
wenzelm
parents:
22310
diff
changeset
|
506 |
case distinct Thm.eq_thm (compose(tha,1,thb)) of |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
507 |
[th] => th |
0 | 508 |
| _ => raise THM("COMP", 1, [tha,thb]); |
509 |
||
13105
3d1e7a199bdc
use eq_thm_prop instead of slightly inadequate eq_thm;
wenzelm
parents:
12908
diff
changeset
|
510 |
|
4016 | 511 |
(** theorem equality **) |
0 | 512 |
|
513 |
(*Useful "distance" function for BEST_FIRST*) |
|
16720 | 514 |
val size_of_thm = size_of_term o Thm.full_prop_of; |
0 | 515 |
|
9829 | 516 |
(*maintain lists of theorems --- preserving canonical order*) |
22360
26ead7ed4f4b
moved eq_thm etc. to structure Thm in Pure/more_thm.ML;
wenzelm
parents:
22310
diff
changeset
|
517 |
val del_rule = remove Thm.eq_thm_prop; |
18922 | 518 |
fun add_rule th = cons th o del_rule th; |
22360
26ead7ed4f4b
moved eq_thm etc. to structure Thm in Pure/more_thm.ML;
wenzelm
parents:
22310
diff
changeset
|
519 |
val merge_rules = Library.merge Thm.eq_thm_prop; |
9829 | 520 |
|
1194
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
521 |
|
563ecd14c1d8
Added weak_eq_thm and forall_intr_vars (thanks to Mark Staples)
lcp
parents:
952
diff
changeset
|
522 |
|
0 | 523 |
(*** Meta-Rewriting Rules ***) |
524 |
||
22681
9d42e5365ad1
cleaned/simplified Sign.read_typ, Thm.read_cterm etc.;
wenzelm
parents:
22561
diff
changeset
|
525 |
fun read_prop s = Thm.read_cterm ProtoPure.thy (s, propT); |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
526 |
|
9455 | 527 |
fun store_thm name thm = hd (PureThy.smart_store_thms (name, [thm])); |
528 |
fun store_standard_thm name thm = store_thm name (standard thm); |
|
12135 | 529 |
fun store_thm_open name thm = hd (PureThy.smart_store_thms_open (name, [thm])); |
530 |
fun store_standard_thm_open name thm = store_thm_open name (standard' thm); |
|
4016 | 531 |
|
0 | 532 |
val reflexive_thm = |
19421 | 533 |
let val cx = cert (Var(("x",0),TVar(("'a",0),[]))) |
12135 | 534 |
in store_standard_thm_open "reflexive" (Thm.reflexive cx) end; |
0 | 535 |
|
536 |
val symmetric_thm = |
|
14854 | 537 |
let val xy = read_prop "x == y" |
16595 | 538 |
in store_standard_thm_open "symmetric" (Thm.implies_intr xy (Thm.symmetric (Thm.assume xy))) end; |
0 | 539 |
|
540 |
val transitive_thm = |
|
14854 | 541 |
let val xy = read_prop "x == y" |
542 |
val yz = read_prop "y == z" |
|
0 | 543 |
val xythm = Thm.assume xy and yzthm = Thm.assume yz |
12135 | 544 |
in store_standard_thm_open "transitive" (Thm.implies_intr yz (Thm.transitive xythm yzthm)) end; |
0 | 545 |
|
4679 | 546 |
fun symmetric_fun thm = thm RS symmetric_thm; |
547 |
||
11512
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
548 |
fun extensional eq = |
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
549 |
let val eq' = |
22906
195b7515911a
moved some operations to more_thm.ML and conv.ML;
wenzelm
parents:
22695
diff
changeset
|
550 |
abstract_rule "x" (Thm.dest_arg (fst (Thm.dest_equals (cprop_of eq)))) eq |
11512
da3a96ab5630
Some basic rules are now stored with "open" derivations, to facilitate
berghofe
parents:
11163
diff
changeset
|
551 |
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
|
552 |
|
18820 | 553 |
val equals_cong = |
554 |
store_standard_thm_open "equals_cong" (Thm.reflexive (read_prop "x == y")); |
|
555 |
||
10414 | 556 |
val imp_cong = |
557 |
let |
|
558 |
val ABC = read_prop "PROP A ==> PROP B == PROP C" |
|
559 |
val AB = read_prop "PROP A ==> PROP B" |
|
560 |
val AC = read_prop "PROP A ==> PROP C" |
|
561 |
val A = read_prop "PROP A" |
|
562 |
in |
|
12135 | 563 |
store_standard_thm_open "imp_cong" (implies_intr ABC (equal_intr |
10414 | 564 |
(implies_intr AB (implies_intr A |
565 |
(equal_elim (implies_elim (assume ABC) (assume A)) |
|
566 |
(implies_elim (assume AB) (assume A))))) |
|
567 |
(implies_intr AC (implies_intr A |
|
568 |
(equal_elim (symmetric (implies_elim (assume ABC) (assume A))) |
|
569 |
(implies_elim (assume AC) (assume A))))))) |
|
570 |
end; |
|
571 |
||
572 |
val swap_prems_eq = |
|
573 |
let |
|
574 |
val ABC = read_prop "PROP A ==> PROP B ==> PROP C" |
|
575 |
val BAC = read_prop "PROP B ==> PROP A ==> PROP C" |
|
576 |
val A = read_prop "PROP A" |
|
577 |
val B = read_prop "PROP B" |
|
578 |
in |
|
12135 | 579 |
store_standard_thm_open "swap_prems_eq" (equal_intr |
10414 | 580 |
(implies_intr ABC (implies_intr B (implies_intr A |
581 |
(implies_elim (implies_elim (assume ABC) (assume A)) (assume B))))) |
|
582 |
(implies_intr BAC (implies_intr A (implies_intr B |
|
583 |
(implies_elim (implies_elim (assume BAC) (assume B)) (assume A)))))) |
|
584 |
end; |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
585 |
|
22938 | 586 |
val imp_cong_rule = Thm.combination o Thm.combination (Thm.reflexive implies); |
587 |
||
588 |
fun arg_cong_rule ct th = Thm.combination (Thm.reflexive ct) th; (*AP_TERM*) |
|
589 |
fun fun_cong_rule th ct = Thm.combination th (Thm.reflexive ct); (*AP_THM*) |
|
0 | 590 |
|
15001
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
591 |
local |
22906
195b7515911a
moved some operations to more_thm.ML and conv.ML;
wenzelm
parents:
22695
diff
changeset
|
592 |
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
|
593 |
val rhs_of = snd o dest_eq |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
594 |
in |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
595 |
fun beta_eta_conversion t = |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
596 |
let val thm = beta_conversion true t |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
597 |
in transitive thm (eta_conversion (rhs_of thm)) end |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
598 |
end; |
fb2141a9f8c0
Moved conversion rules from MetaSimplifier to Drule. refl_implies removed
skalberg
parents:
14854
diff
changeset
|
599 |
|
15925 | 600 |
fun eta_long_conversion ct = transitive (beta_eta_conversion ct) |
601 |
(symmetric (beta_eta_conversion (cterm_fun (Pattern.eta_long []) ct))); |
|
602 |
||
20861 | 603 |
(*Contract all eta-redexes in the theorem, lest they give rise to needless abstractions*) |
604 |
fun eta_contraction_rule th = |
|
605 |
equal_elim (eta_conversion (cprop_of th)) th; |
|
606 |
||
18337 | 607 |
val abs_def = |
608 |
let |
|
609 |
fun contract_lhs th = |
|
22906
195b7515911a
moved some operations to more_thm.ML and conv.ML;
wenzelm
parents:
22695
diff
changeset
|
610 |
Thm.transitive (Thm.symmetric (beta_eta_conversion |
195b7515911a
moved some operations to more_thm.ML and conv.ML;
wenzelm
parents:
22695
diff
changeset
|
611 |
(fst (Thm.dest_equals (cprop_of th))))) th; |
18777 | 612 |
fun abstract cx th = Thm.abstract_rule |
613 |
(case Thm.term_of cx of Var ((x, _), _) => x | Free (x, _) => x | _ => "x") cx th |
|
614 |
handle THM _ => raise THM ("Malformed definitional equation", 0, [th]); |
|
18337 | 615 |
in |
616 |
contract_lhs |
|
22906
195b7515911a
moved some operations to more_thm.ML and conv.ML;
wenzelm
parents:
22695
diff
changeset
|
617 |
#> `(snd o strip_comb o fst o Thm.dest_equals o cprop_of) |
18337 | 618 |
#-> fold_rev abstract |
619 |
#> contract_lhs |
|
620 |
end; |
|
621 |
||
18468 | 622 |
|
15669 | 623 |
(*** Some useful meta-theorems ***) |
0 | 624 |
|
625 |
(*The rule V/V, obtains assumption solving for eresolve_tac*) |
|
12135 | 626 |
val asm_rl = store_standard_thm_open "asm_rl" (Thm.trivial (read_prop "PROP ?psi")); |
7380 | 627 |
val _ = store_thm "_" asm_rl; |
0 | 628 |
|
629 |
(*Meta-level cut rule: [| V==>W; V |] ==> W *) |
|
4016 | 630 |
val cut_rl = |
12135 | 631 |
store_standard_thm_open "cut_rl" |
9455 | 632 |
(Thm.trivial (read_prop "PROP ?psi ==> PROP ?theta")); |
0 | 633 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
634 |
(*Generalized elim rule for one conclusion; cut_rl with reversed premises: |
0 | 635 |
[| PROP V; PROP V ==> PROP W |] ==> PROP W *) |
636 |
val revcut_rl = |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
637 |
let val V = read_prop "PROP V" |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
638 |
and VW = read_prop "PROP V ==> PROP W"; |
4016 | 639 |
in |
12135 | 640 |
store_standard_thm_open "revcut_rl" |
4016 | 641 |
(implies_intr V (implies_intr VW (implies_elim (assume VW) (assume V)))) |
0 | 642 |
end; |
643 |
||
668 | 644 |
(*for deleting an unwanted assumption*) |
645 |
val thin_rl = |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
646 |
let val V = read_prop "PROP V" |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
647 |
and W = read_prop "PROP W"; |
12135 | 648 |
in store_standard_thm_open "thin_rl" (implies_intr V (implies_intr W (assume W))) end; |
668 | 649 |
|
0 | 650 |
(* (!!x. PROP ?V) == PROP ?V Allows removal of redundant parameters*) |
651 |
val triv_forall_equality = |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
652 |
let val V = read_prop "PROP V" |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
653 |
and QV = read_prop "!!x::'a. PROP V" |
19421 | 654 |
and x = cert (Free ("x", Term.aT [])); |
4016 | 655 |
in |
12135 | 656 |
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
|
657 |
(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
|
658 |
(implies_intr V (forall_intr x (assume V)))) |
0 | 659 |
end; |
660 |
||
19051 | 661 |
(* (PROP ?Phi ==> PROP ?Phi ==> PROP ?Psi) ==> |
662 |
(PROP ?Phi ==> PROP ?Psi) |
|
663 |
*) |
|
664 |
val distinct_prems_rl = |
|
665 |
let |
|
666 |
val AAB = read_prop "PROP Phi ==> PROP Phi ==> PROP Psi" |
|
667 |
val A = read_prop "PROP Phi"; |
|
668 |
in |
|
669 |
store_standard_thm_open "distinct_prems_rl" |
|
670 |
(implies_intr_list [AAB, A] (implies_elim_list (assume AAB) [assume A, assume A])) |
|
671 |
end; |
|
672 |
||
1756 | 673 |
(* (PROP ?PhiA ==> PROP ?PhiB ==> PROP ?Psi) ==> |
674 |
(PROP ?PhiB ==> PROP ?PhiA ==> PROP ?Psi) |
|
675 |
`thm COMP swap_prems_rl' swaps the first two premises of `thm' |
|
676 |
*) |
|
677 |
val swap_prems_rl = |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
678 |
let val cmajor = read_prop "PROP PhiA ==> PROP PhiB ==> PROP Psi"; |
1756 | 679 |
val major = assume cmajor; |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
680 |
val cminor1 = read_prop "PROP PhiA"; |
1756 | 681 |
val minor1 = assume cminor1; |
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
682 |
val cminor2 = read_prop "PROP PhiB"; |
1756 | 683 |
val minor2 = assume cminor2; |
12135 | 684 |
in store_standard_thm_open "swap_prems_rl" |
1756 | 685 |
(implies_intr cmajor (implies_intr cminor2 (implies_intr cminor1 |
686 |
(implies_elim (implies_elim major minor1) minor2)))) |
|
687 |
end; |
|
688 |
||
3653 | 689 |
(* [| PROP ?phi ==> PROP ?psi; PROP ?psi ==> PROP ?phi |] |
690 |
==> PROP ?phi == PROP ?psi |
|
8328 | 691 |
Introduction rule for == as a meta-theorem. |
3653 | 692 |
*) |
693 |
val equal_intr_rule = |
|
4610
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
694 |
let val PQ = read_prop "PROP phi ==> PROP psi" |
b1322be47244
Tidying; rotate_prems; moved freeze_thaw from tactic.ML
paulson
parents:
4588
diff
changeset
|
695 |
and QP = read_prop "PROP psi ==> PROP phi" |
4016 | 696 |
in |
12135 | 697 |
store_standard_thm_open "equal_intr_rule" |
4016 | 698 |
(implies_intr PQ (implies_intr QP (equal_intr (assume PQ) (assume QP)))) |
3653 | 699 |
end; |
700 |
||
19421 | 701 |
(* PROP ?phi == PROP ?psi ==> PROP ?phi ==> PROP ?psi *) |
13368 | 702 |
val equal_elim_rule1 = |
703 |
let val eq = read_prop "PROP phi == PROP psi" |
|
704 |
and P = read_prop "PROP phi" |
|
705 |
in store_standard_thm_open "equal_elim_rule1" |
|
706 |
(Thm.equal_elim (assume eq) (assume P) |> implies_intr_list [eq, P]) |
|
707 |
end; |
|
4285 | 708 |
|
19421 | 709 |
(* PROP ?psi == PROP ?phi ==> PROP ?phi ==> PROP ?psi *) |
710 |
val equal_elim_rule2 = |
|
711 |
store_standard_thm_open "equal_elim_rule2" (symmetric_thm RS equal_elim_rule1); |
|
712 |
||
12297 | 713 |
(* "[| PROP ?phi; PROP ?phi; PROP ?psi |] ==> PROP ?psi" *) |
714 |
val remdups_rl = |
|
715 |
let val P = read_prop "PROP phi" and Q = read_prop "PROP psi"; |
|
716 |
in store_standard_thm_open "remdups_rl" (implies_intr_list [P, P, Q] (Thm.assume Q)) end; |
|
717 |
||
718 |
||
9554 | 719 |
(*(PROP ?phi ==> (!!x. PROP ?psi(x))) == (!!x. PROP ?phi ==> PROP ?psi(x)) |
12297 | 720 |
Rewrite rule for HHF normalization.*) |
9554 | 721 |
|
722 |
val norm_hhf_eq = |
|
723 |
let |
|
14854 | 724 |
val aT = TFree ("'a", []); |
9554 | 725 |
val all = Term.all aT; |
726 |
val x = Free ("x", aT); |
|
727 |
val phi = Free ("phi", propT); |
|
728 |
val psi = Free ("psi", aT --> propT); |
|
729 |
||
730 |
val cx = cert x; |
|
731 |
val cphi = cert phi; |
|
732 |
val lhs = cert (Logic.mk_implies (phi, all $ Abs ("x", aT, psi $ Bound 0))); |
|
733 |
val rhs = cert (all $ Abs ("x", aT, Logic.mk_implies (phi, psi $ Bound 0))); |
|
734 |
in |
|
735 |
Thm.equal_intr |
|
736 |
(Thm.implies_elim (Thm.assume lhs) (Thm.assume cphi) |
|
737 |
|> Thm.forall_elim cx |
|
738 |
|> Thm.implies_intr cphi |
|
739 |
|> Thm.forall_intr cx |
|
740 |
|> Thm.implies_intr lhs) |
|
741 |
(Thm.implies_elim |
|
742 |
(Thm.assume rhs |> Thm.forall_elim cx) (Thm.assume cphi) |
|
743 |
|> Thm.forall_intr cx |
|
744 |
|> Thm.implies_intr cphi |
|
745 |
|> Thm.implies_intr rhs) |
|
12135 | 746 |
|> store_standard_thm_open "norm_hhf_eq" |
9554 | 747 |
end; |
748 |
||
18179 | 749 |
val norm_hhf_prop = Logic.dest_equals (Thm.prop_of norm_hhf_eq); |
750 |
||
12800 | 751 |
fun is_norm_hhf tm = |
752 |
let |
|
753 |
fun is_norm (Const ("==>", _) $ _ $ (Const ("all", _) $ _)) = false |
|
754 |
| is_norm (t $ u) = is_norm t andalso is_norm u |
|
755 |
| is_norm (Abs (_, _, t)) = is_norm t |
|
756 |
| is_norm _ = true; |
|
18929 | 757 |
in is_norm (Envir.beta_eta_contract tm) end; |
12800 | 758 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
759 |
fun norm_hhf thy t = |
12800 | 760 |
if is_norm_hhf t then t |
18179 | 761 |
else Pattern.rewrite_term thy [norm_hhf_prop] [] t; |
762 |
||
20298 | 763 |
fun norm_hhf_cterm ct = |
764 |
if is_norm_hhf (Thm.term_of ct) then ct |
|
765 |
else cterm_fun (Pattern.rewrite_term (Thm.theory_of_cterm ct) [norm_hhf_prop] []) ct; |
|
766 |
||
12800 | 767 |
|
21603 | 768 |
(* var indexes *) |
769 |
||
770 |
fun incr_indexes th = Thm.incr_indexes (Thm.maxidx_of th + 1); |
|
771 |
||
772 |
fun incr_indexes2 th1 th2 = |
|
773 |
Thm.incr_indexes (Int.max (Thm.maxidx_of th1, Thm.maxidx_of th2) + 1); |
|
774 |
||
775 |
fun th1 INCR_COMP th2 = incr_indexes th2 th1 COMP th2; |
|
776 |
fun th1 COMP_INCR th2 = th1 COMP incr_indexes th1 th2; |
|
777 |
||
9554 | 778 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
779 |
(*** Instantiate theorem th, reading instantiations in theory thy ****) |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
780 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
781 |
(*Version that normalizes the result: Thm.instantiate no longer does that*) |
21603 | 782 |
fun instantiate instpair th = |
783 |
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
|
784 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
785 |
fun read_instantiate_sg' thy sinsts th = |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
786 |
let val ts = types_sorts th; |
15669 | 787 |
val used = add_used th []; |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
788 |
in instantiate (read_insts thy ts ts used sinsts) th end; |
15797 | 789 |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
790 |
fun read_instantiate_sg thy sinsts th = |
20298 | 791 |
read_instantiate_sg' thy (map (apfst Syntax.read_indexname) sinsts) th; |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
792 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
793 |
(*Instantiate theorem th, reading instantiations under theory of th*) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
794 |
fun read_instantiate sinsts th = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
795 |
read_instantiate_sg (Thm.theory_of_thm th) sinsts th; |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
796 |
|
15797 | 797 |
fun read_instantiate' sinsts th = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
798 |
read_instantiate_sg' (Thm.theory_of_thm th) sinsts th; |
15797 | 799 |
|
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
800 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
801 |
(*Left-to-right replacements: tpairs = [...,(vi,ti),...]. |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
802 |
Instantiates distinct Vars by terms, inferring type instantiations. *) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
803 |
local |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
804 |
fun add_types ((ct,cu), (thy,tye,maxidx)) = |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
805 |
let val {thy=thyt, t=t, T= T, maxidx=maxt,...} = rep_cterm ct |
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
806 |
and {thy=thyu, t=u, T= U, maxidx=maxu,...} = rep_cterm cu; |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
807 |
val maxi = Int.max(maxidx, Int.max(maxt, maxu)); |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
808 |
val thy' = Theory.merge(thy, Theory.merge(thyt, thyu)) |
16949
ea65d75e0ce1
tuned gen_all, forall_elim_list, implies_intr_list, standard;
wenzelm
parents:
16861
diff
changeset
|
809 |
val (tye',maxi') = Sign.typ_unify thy' (T, U) (tye, maxi) |
10403 | 810 |
handle Type.TUNIFY => raise TYPE("Ill-typed instantiation", [T,U], [t,u]) |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
811 |
in (thy', tye', maxi') end; |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
812 |
in |
22561 | 813 |
fun cterm_instantiate [] th = th |
814 |
| cterm_instantiate ctpairs0 th = |
|
23178 | 815 |
let val (thy,tye,_) = List.foldr add_types (Thm.theory_of_thm th, Vartab.empty, 0) ctpairs0 |
18179 | 816 |
fun instT(ct,cu) = |
22287
9985a79735c7
cterm_instantiate was calling a type instantiation function that works only for matching,
paulson
parents:
22109
diff
changeset
|
817 |
let val inst = cterm_of thy o Term.map_types (Envir.norm_type tye) o term_of |
14340
bc93ffa674cc
correction to cterm_instantiate by Christoph Leuth
paulson
parents:
14081
diff
changeset
|
818 |
in (inst ct, inst cu) end |
22307
bb31094b4879
Completing the bug fix from the previous update: the result of unifying type
paulson
parents:
22287
diff
changeset
|
819 |
fun ctyp2 (ixn, (S, T)) = (ctyp_of thy (TVar (ixn, S)), ctyp_of thy (Envir.norm_type tye T)) |
8406
a217b0cd304d
Type.unify and Type.typ_match now use Vartab instead of association lists.
berghofe
parents:
8365
diff
changeset
|
820 |
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
|
821 |
handle TERM _ => |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
822 |
raise THM("cterm_instantiate: incompatible theories",0,[th]) |
8129
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
823 |
| TYPE (msg, _, _) => raise THM(msg, 0, [th]) |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
824 |
end; |
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
825 |
|
29e239c7b8c2
Thm.instantiate no longer normalizes, but Drule.instantiate does
paulson
parents:
8086
diff
changeset
|
826 |
|
19878 | 827 |
(* global schematic variables *) |
828 |
||
829 |
fun unvarify th = |
|
830 |
let |
|
831 |
val thy = Thm.theory_of_thm th; |
|
832 |
val cert = Thm.cterm_of thy; |
|
833 |
val certT = Thm.ctyp_of thy; |
|
834 |
||
835 |
val prop = Thm.full_prop_of th; |
|
836 |
val _ = map Logic.unvarify (prop :: Thm.hyps_of th) |
|
837 |
handle TERM (msg, _) => raise THM (msg, 0, [th]); |
|
838 |
||
839 |
val instT0 = rev (Term.add_tvars prop []) |> map (fn v as ((a, _), S) => (v, TFree (a, S))); |
|
840 |
val instT = map (fn (v, T) => (certT (TVar v), certT T)) instT0; |
|
841 |
val inst = rev (Term.add_vars prop []) |> map (fn ((a, i), T) => |
|
20509 | 842 |
let val T' = TermSubst.instantiateT instT0 T |
19878 | 843 |
in (cert (Var ((a, i), T')), cert (Free ((a, T')))) end); |
844 |
in Thm.instantiate (instT, inst) th end; |
|
845 |
||
846 |
||
19775 | 847 |
(** protected propositions and embedded terms **) |
4789 | 848 |
|
849 |
local |
|
18025 | 850 |
val A = cert (Free ("A", propT)); |
19878 | 851 |
val prop_def = unvarify ProtoPure.prop_def; |
852 |
val term_def = unvarify ProtoPure.term_def; |
|
4789 | 853 |
in |
18025 | 854 |
val protect = Thm.capply (cert Logic.protectC); |
21437 | 855 |
val protectI = store_thm "protectI" (PureThy.kind_rule Thm.internalK (standard |
18025 | 856 |
(Thm.equal_elim (Thm.symmetric prop_def) (Thm.assume A)))); |
21437 | 857 |
val protectD = store_thm "protectD" (PureThy.kind_rule Thm.internalK (standard |
18025 | 858 |
(Thm.equal_elim prop_def (Thm.assume (protect A))))); |
18179 | 859 |
val protect_cong = store_standard_thm_open "protect_cong" (Thm.reflexive (protect A)); |
19775 | 860 |
|
21437 | 861 |
val termI = store_thm "termI" (PureThy.kind_rule Thm.internalK (standard |
19775 | 862 |
(Thm.equal_elim (Thm.symmetric term_def) (Thm.forall_intr A (Thm.trivial A))))); |
4789 | 863 |
end; |
864 |
||
18025 | 865 |
fun implies_intr_protected asms th = |
18118 | 866 |
let val asms' = map protect asms in |
867 |
implies_elim_list |
|
868 |
(implies_intr_list asms th) |
|
869 |
(map (fn asm' => Thm.assume asm' RS protectD) asms') |
|
870 |
|> implies_intr_list asms' |
|
871 |
end; |
|
11815 | 872 |
|
19775 | 873 |
fun mk_term ct = |
874 |
let |
|
875 |
val {thy, T, ...} = Thm.rep_cterm ct; |
|
876 |
val cert = Thm.cterm_of thy; |
|
877 |
val certT = Thm.ctyp_of thy; |
|
878 |
val a = certT (TVar (("'a", 0), [])); |
|
879 |
val x = cert (Var (("x", 0), T)); |
|
880 |
in Thm.instantiate ([(a, certT T)], [(x, ct)]) termI end; |
|
881 |
||
882 |
fun dest_term th = |
|
21566 | 883 |
let val cprop = strip_imp_concl (Thm.cprop_of th) in |
19775 | 884 |
if can Logic.dest_term (Thm.term_of cprop) then |
20579 | 885 |
Thm.dest_arg cprop |
19775 | 886 |
else raise THM ("dest_term", 0, [th]) |
887 |
end; |
|
888 |
||
21519 | 889 |
fun cterm_rule f = dest_term o f o mk_term; |
890 |
fun term_rule thy f t = Thm.term_of (cterm_rule f (Thm.cterm_of thy t)); |
|
20881 | 891 |
|
19775 | 892 |
|
4789 | 893 |
|
5688 | 894 |
(** variations on instantiate **) |
4285 | 895 |
|
896 |
(* instantiate by left-to-right occurrence of variables *) |
|
897 |
||
898 |
fun instantiate' cTs cts thm = |
|
899 |
let |
|
900 |
fun err msg = |
|
901 |
raise TYPE ("instantiate': " ^ msg, |
|
19482
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19421
diff
changeset
|
902 |
map_filter (Option.map Thm.typ_of) cTs, |
9f11af8f7ef9
tuned basic list operators (flat, maps, map_filter);
wenzelm
parents:
19421
diff
changeset
|
903 |
map_filter (Option.map Thm.term_of) cts); |
4285 | 904 |
|
905 |
fun inst_of (v, ct) = |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
906 |
(Thm.cterm_of (Thm.theory_of_cterm ct) (Var v), ct) |
4285 | 907 |
handle TYPE (msg, _, _) => err msg; |
908 |
||
15797 | 909 |
fun tyinst_of (v, cT) = |
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
910 |
(Thm.ctyp_of (Thm.theory_of_ctyp cT) (TVar v), cT) |
15797 | 911 |
handle TYPE (msg, _, _) => err msg; |
912 |
||
20298 | 913 |
fun zip_vars xs ys = |
914 |
zip_options xs ys handle Library.UnequalLengths => |
|
915 |
err "more instantiations than variables in thm"; |
|
4285 | 916 |
|
917 |
(*instantiate types first!*) |
|
918 |
val thm' = |
|
919 |
if forall is_none cTs then thm |
|
20298 | 920 |
else Thm.instantiate |
22695
17073e9b94f2
moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents:
22681
diff
changeset
|
921 |
(map tyinst_of (zip_vars (rev (Thm.fold_terms Term.add_tvars thm [])) cTs), []) thm; |
20579 | 922 |
val thm'' = |
4285 | 923 |
if forall is_none cts then thm' |
20298 | 924 |
else Thm.instantiate |
22695
17073e9b94f2
moved Drule.plain_prop_of, Drule.fold_terms to more_thm.ML;
wenzelm
parents:
22681
diff
changeset
|
925 |
([], map inst_of (zip_vars (rev (Thm.fold_terms Term.add_vars thm' [])) cts)) thm'; |
20298 | 926 |
in thm'' end; |
4285 | 927 |
|
928 |
||
14081 | 929 |
|
930 |
(** renaming of bound variables **) |
|
931 |
||
932 |
(* replace bound variables x_i in thm by y_i *) |
|
933 |
(* where vs = [(x_1, y_1), ..., (x_n, y_n)] *) |
|
934 |
||
935 |
fun rename_bvars [] thm = thm |
|
936 |
| rename_bvars vs thm = |
|
937 |
let |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
938 |
val {thy, prop, ...} = rep_thm thm; |
17325 | 939 |
fun ren (Abs (x, T, t)) = Abs (AList.lookup (op =) vs x |> the_default x, T, ren t) |
14081 | 940 |
| ren (t $ u) = ren t $ ren u |
941 |
| ren t = t; |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
942 |
in equal_elim (reflexive (cterm_of thy (ren prop))) thm end; |
14081 | 943 |
|
944 |
||
945 |
(* renaming in left-to-right order *) |
|
946 |
||
947 |
fun rename_bvars' xs thm = |
|
948 |
let |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
949 |
val {thy, prop, ...} = rep_thm thm; |
14081 | 950 |
fun rename [] t = ([], t) |
951 |
| rename (x' :: xs) (Abs (x, T, t)) = |
|
952 |
let val (xs', t') = rename xs t |
|
18929 | 953 |
in (xs', Abs (the_default x x', T, t')) end |
14081 | 954 |
| rename xs (t $ u) = |
955 |
let |
|
956 |
val (xs', t') = rename xs t; |
|
957 |
val (xs'', u') = rename xs' u |
|
958 |
in (xs'', t' $ u') end |
|
959 |
| rename xs t = (xs, t); |
|
960 |
in case rename xs prop of |
|
16425
2427be27cc60
accomodate identification of type Sign.sg and theory;
wenzelm
parents:
15949
diff
changeset
|
961 |
([], prop') => equal_elim (reflexive (cterm_of thy prop')) thm |
14081 | 962 |
| _ => error "More names than abstractions in theorem" |
963 |
end; |
|
964 |
||
965 |
||
11975 | 966 |
|
18225 | 967 |
(** multi_resolve **) |
968 |
||
969 |
local |
|
970 |
||
971 |
fun res th i rule = |
|
972 |
Thm.biresolution false [(false, th)] i rule handle THM _ => Seq.empty; |
|
973 |
||
974 |
fun multi_res _ [] rule = Seq.single rule |
|
975 |
| multi_res i (th :: ths) rule = Seq.maps (res th i) (multi_res (i + 1) ths rule); |
|
976 |
||
977 |
in |
|
978 |
||
979 |
val multi_resolve = multi_res 1; |
|
980 |
fun multi_resolves facts rules = Seq.maps (multi_resolve facts) (Seq.of_list rules); |
|
981 |
||
982 |
end; |
|
983 |
||
11975 | 984 |
end; |
5903 | 985 |
|
986 |
structure BasicDrule: BASIC_DRULE = Drule; |
|
987 |
open BasicDrule; |