| author | Christian Urban <urbanc@in.tum.de> |
| Sun, 07 Mar 2010 21:30:57 +0100 | |
| changeset 1355 | 7b0c6d07a24e |
| parent 1277 | 6eacf60ce41d |
| permissions | -rw-r--r-- |
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1270
8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
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1 |
theory Term7 |
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Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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imports "Nominal2_Atoms" "Nominal2_Eqvt" "Nominal2_Supp" "Abs" "Perm" "Fv" "Rsp" "../Attic/Prove" |
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Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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3 |
begin |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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4 |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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atom_decl name |
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Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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6 |
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Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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7 |
(* example with a respectful bn function defined over the type itself *) |
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Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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8 |
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Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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9 |
datatype rtrm7 = |
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Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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rVr7 "name" |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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11 |
| rLm7 "name" "rtrm7" --"bind left in right" |
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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| rLt7 "rtrm7" "rtrm7" --"bind (bv7 left) in (right)" |
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Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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13 |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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14 |
primrec |
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Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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15 |
rbv7 |
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Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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16 |
where |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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"rbv7 (rVr7 n) = {atom n}"
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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| "rbv7 (rLm7 n t) = rbv7 t - {atom n}"
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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19 |
| "rbv7 (rLt7 l r) = rbv7 l \<union> rbv7 r" |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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20 |
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1277
6eacf60ce41d
Permutation and FV_Alpha interface change.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
1270
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setup {* snd o define_raw_perms (Datatype.the_info @{theory} "Term7.rtrm7") 1 *}
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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thm permute_rtrm7.simps |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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23 |
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1277
6eacf60ce41d
Permutation and FV_Alpha interface change.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
1270
diff
changeset
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24 |
local_setup {* snd o define_fv_alpha (Datatype.the_info @{theory} "Term7.rtrm7") [
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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[[[]], [[(NONE, 0)], [(NONE, 0)]], [[], [(SOME @{term rbv7}, 0)]]]] *}
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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print_theorems |
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Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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notation |
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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alpha_rtrm7 ("_ \<approx>7a _" [100, 100] 100)
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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thm alpha_rtrm7.intros |
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Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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thm fv_rtrm7.simps |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
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31 |
inductive |
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Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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alpha7 :: "rtrm7 \<Rightarrow> rtrm7 \<Rightarrow> bool" ("_ \<approx>7 _" [100, 100] 100)
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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33 |
where |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
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34 |
a1: "a = b \<Longrightarrow> (rVr7 a) \<approx>7 (rVr7 b)" |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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35 |
| a2: "(\<exists>pi. (({atom a}, t) \<approx>gen alpha7 fv_rtrm7 pi ({atom b}, s))) \<Longrightarrow> rLm7 a t \<approx>7 rLm7 b s"
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
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36 |
| a3: "(\<exists>pi. (((rbv7 t1), s1) \<approx>gen alpha7 fv_rtrm7 pi ((rbv7 t2), s2))) \<Longrightarrow> rLt7 t1 s1 \<approx>7 rLt7 t2 s2" |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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37 |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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lemma "(x::name) \<noteq> y \<Longrightarrow> \<not> (alpha7 ===> op =) rbv7 rbv7" |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
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apply simp |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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40 |
apply (rule_tac x="rLt7 (rVr7 x) (rVr7 x)" in exI) |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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41 |
apply (rule_tac x="rLt7 (rVr7 y) (rVr7 y)" in exI) |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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42 |
apply simp |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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43 |
apply (rule a3) |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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44 |
apply (rule_tac x="(x \<leftrightarrow> y)" in exI) |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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apply (simp_all add: alpha_gen fresh_star_def) |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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46 |
apply (rule a1) |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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47 |
apply (rule refl) |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
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48 |
done |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
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49 |
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8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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50 |
end |