1270
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 1
theory Term3
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 2
imports "Nominal2_Atoms" "Nominal2_Eqvt" "Nominal2_Supp" "Abs" "Perm" "Fv" "Rsp" "../Attic/Prove"
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 3
begin
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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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+ − 4
8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 5
atom_decl name
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 6
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 7
section {*** lets with many assignments ***}
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 8
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 9
datatype rtrm3 =
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 10
rVr3 "name"
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 11
| rAp3 "rtrm3" "rtrm3"
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 12
| rLm3 "name" "rtrm3" --"bind (name) in (trm3)"
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 13
| rLt3 "rassigns" "rtrm3" --"bind (bv3 assigns) in (trm3)"
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 14
and rassigns =
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 15
rANil
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 16
| rACons "name" "rtrm3" "rassigns"
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 17
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 18
(* to be given by the user *)
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 19
primrec
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 20
bv3
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 21
where
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 22
"bv3 rANil = {}"
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 23
| "bv3 (rACons x t as) = {atom x} \<union> (bv3 as)"
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 24
1277
+ − 25
setup {* snd o define_raw_perms (Datatype.the_info @{theory} "Term3.rtrm3") 2 *}
1270
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 26
1277
+ − 27
local_setup {* snd o define_fv_alpha (Datatype.the_info @{theory} "Term3.rtrm3")
1270
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 28
[[[[]], [[], []], [[(NONE, 0)], [(NONE, 0)]], [[], [(SOME @{term bv3}, 0)]]],
8c3cf9f4f5f2
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 29
[[], [[], [], []]]] *}
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 30
print_theorems
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 31
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 32
notation
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 33
alpha_rtrm3 ("_ \<approx>3 _" [100, 100] 100) and
8c3cf9f4f5f2
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 34
alpha_rassigns ("_ \<approx>3a _" [100, 100] 100)
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 35
thm alpha_rtrm3_alpha_rassigns.intros
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 36
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 37
local_setup {* (fn ctxt => snd (Local_Theory.note ((@{binding alpha3_inj}, []), (build_alpha_inj @{thms alpha_rtrm3_alpha_rassigns.intros} @{thms rtrm3.distinct rtrm3.inject rassigns.distinct rassigns.inject} @{thms alpha_rtrm3.cases alpha_rassigns.cases} ctxt)) ctxt)) *}
8c3cf9f4f5f2
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 38
thm alpha3_inj
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 39
8c3cf9f4f5f2
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 40
lemma alpha3_eqvt:
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 41
"t \<approx>3 s \<Longrightarrow> (pi \<bullet> t) \<approx>3 (pi \<bullet> s)"
8c3cf9f4f5f2
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 42
"a \<approx>3a b \<Longrightarrow> (pi \<bullet> a) \<approx>3a (pi \<bullet> b)"
8c3cf9f4f5f2
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
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+ − 43
sorry
8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
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+ − 44
8c3cf9f4f5f2
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
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+ − 45
local_setup {* (fn ctxt => snd (Local_Theory.note ((@{binding alpha3_equivp}, []),
8c3cf9f4f5f2
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
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+ − 46
(build_equivps [@{term alpha_rtrm3}, @{term alpha_rassigns}] @{thm rtrm3_rassigns.induct} @{thm alpha_rtrm3_alpha_rassigns.induct} @{thms rtrm3.inject rassigns.inject} @{thms alpha3_inj} @{thms rtrm3.distinct rassigns.distinct} @{thms alpha_rtrm3.cases alpha_rassigns.cases} @{thms alpha3_eqvt} ctxt)) ctxt)) *}
8c3cf9f4f5f2
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
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+ − 47
thm alpha3_equivp
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
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+ − 48
8c3cf9f4f5f2
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 49
quotient_type
8c3cf9f4f5f2
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
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+ − 50
trm3 = rtrm3 / alpha_rtrm3
8c3cf9f4f5f2
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
+ − 51
and
8c3cf9f4f5f2
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
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+ − 52
assigns = rassigns / alpha_rassigns
8c3cf9f4f5f2
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Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 53
by (rule alpha3_equivp(1)) (rule alpha3_equivp(2))
8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
+ − 54
8c3cf9f4f5f2
Split Terms into separate files and add them to tests.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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+ − 55
end