author | Christian Urban <urbanc@in.tum.de> |
Fri, 11 Jun 2010 03:02:42 +0200 | |
changeset 2316 | 08bbde090a17 |
parent 2313 | 25d2cdf7d7e4 |
child 2318 | 49cc1af89de9 |
permissions | -rw-r--r-- |
1911
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
1 |
theory SingleLet |
2024
d974059827ad
Equivariance fails for single let?
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
1911
diff
changeset
|
2 |
imports "../NewParser" |
1596
c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
3 |
begin |
c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
4 |
|
c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
5 |
atom_decl name |
c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
6 |
|
2316 | 7 |
declare [[STEPS = 12]] |
8 |
||
2294
72ad4e766acf
properly exported bn_descr
Christian Urban <urbanc@in.tum.de>
parents:
2293
diff
changeset
|
9 |
|
1911
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
10 |
nominal_datatype trm = |
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
11 |
Var "name" |
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
12 |
| App "trm" "trm" |
2024
d974059827ad
Equivariance fails for single let?
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
1911
diff
changeset
|
13 |
| Lam x::"name" t::"trm" bind_set x in t |
d974059827ad
Equivariance fails for single let?
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
1911
diff
changeset
|
14 |
| Let a::"assg" t::"trm" bind_set "bn a" in t |
2311
4da5c5c29009
work on transitivity proof
Christian Urban <urbanc@in.tum.de>
parents:
2308
diff
changeset
|
15 |
| Foo x::"name" y::"name" t::"trm" t1::"trm" t2::"trm" bind_set x in y t t1 t2 |
2296 | 16 |
| Bar x::"name" y::"name" t::"trm" bind y x in t x y |
2316 | 17 |
| Baz x::"name" t1::"trm" t2::"trm" bind x in t1, bind x in t2 |
1911
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
18 |
and assg = |
2308
387fcbd33820
fixed problem with bn_info
Christian Urban <urbanc@in.tum.de>
parents:
2306
diff
changeset
|
19 |
As "name" "name" "trm" "name" |
1596
c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
20 |
binder |
1911
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
21 |
bn::"assg \<Rightarrow> atom set" |
1596
c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
22 |
where |
2308
387fcbd33820
fixed problem with bn_info
Christian Urban <urbanc@in.tum.de>
parents:
2306
diff
changeset
|
23 |
"bn (As x y t z) = {atom x}" |
1911
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
24 |
|
2311
4da5c5c29009
work on transitivity proof
Christian Urban <urbanc@in.tum.de>
parents:
2308
diff
changeset
|
25 |
|
2316 | 26 |
lemma |
27 |
shows "alpha_trm_raw x x" |
|
28 |
and "alpha_assg_raw y y" |
|
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and "alpha_bn_raw y y" |
|
30 |
apply(induct rule: trm_raw_assg_raw.inducts) |
|
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apply(rule alpha_trm_raw_alpha_assg_raw_alpha_bn_raw.intros) |
|
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apply(rule refl) |
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apply(rule alpha_trm_raw_alpha_assg_raw_alpha_bn_raw.intros) |
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apply(assumption) |
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apply(assumption) |
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apply(rule alpha_trm_raw_alpha_assg_raw_alpha_bn_raw.intros) |
|
37 |
apply(rule_tac x="0" in exI) |
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38 |
apply(rule alpha_gen_refl) |
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apply(assumption) |
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apply(rule alpha_trm_raw_alpha_assg_raw_alpha_bn_raw.intros) |
|
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apply(rule_tac x="0" in exI) |
|
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apply(rule alpha_gen_refl) |
|
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apply(assumption) |
|
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apply(assumption) |
|
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apply(rule alpha_trm_raw_alpha_assg_raw_alpha_bn_raw.intros) |
|
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apply(rule_tac x="0" in exI) |
|
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apply(rule alpha_gen_refl) |
|
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apply(simp only: prod_alpha_def split_conv prod_rel.simps) |
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apply(simp) |
|
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apply(rule alpha_trm_raw_alpha_assg_raw_alpha_bn_raw.intros) |
|
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apply(rule_tac x="0" in exI) |
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apply(rule alpha_gen_refl) |
|
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apply(simp only: prod_alpha_def split_conv prod_rel.simps) |
|
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apply(simp) |
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apply(rule alpha_trm_raw_alpha_assg_raw_alpha_bn_raw.intros) |
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apply(rule refl) |
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apply(rule refl) |
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apply(assumption) |
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apply(rule refl) |
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apply(rule alpha_trm_raw_alpha_assg_raw_alpha_bn_raw.intros) |
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apply(rule refl) |
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apply(assumption) |
|
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apply(rule refl) |
|
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done |
|
65 |
||
66 |
||
67 |
||
1911
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
68 |
thm trm_assg.fv |
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
69 |
thm trm_assg.supp |
2024
d974059827ad
Equivariance fails for single let?
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
1911
diff
changeset
|
70 |
thm trm_assg.eq_iff |
1911
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
71 |
thm trm_assg.bn |
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
72 |
thm trm_assg.perm |
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
73 |
thm trm_assg.induct |
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
74 |
thm trm_assg.inducts |
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
75 |
thm trm_assg.distinct |
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
76 |
ML {* Sign.of_sort @{theory} (@{typ trm}, @{sort fs}) *} |
2288
3b83960f9544
new fv/fv_bn function (supp breaks now); exported raw perms and raw funs into separate ML-files
Christian Urban <urbanc@in.tum.de>
parents:
2146
diff
changeset
|
77 |
|
3b83960f9544
new fv/fv_bn function (supp breaks now); exported raw perms and raw funs into separate ML-files
Christian Urban <urbanc@in.tum.de>
parents:
2146
diff
changeset
|
78 |
(* TEMPORARY |
2024
d974059827ad
Equivariance fails for single let?
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
1911
diff
changeset
|
79 |
thm trm_assg.fv[simplified trm_assg.supp(1-2)] |
2288
3b83960f9544
new fv/fv_bn function (supp breaks now); exported raw perms and raw funs into separate ML-files
Christian Urban <urbanc@in.tum.de>
parents:
2146
diff
changeset
|
80 |
*) |
2064
2725853f43b9
solved the problem with equivariance by first eta-normalising the goal
Christian Urban <urbanc@in.tum.de>
parents:
2028
diff
changeset
|
81 |
|
1596
c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
82 |
end |
c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
83 |
|
c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
84 |
|
c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
85 |