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Theorem ac-in-10
⊦ ¬ sk ∈ fis ∧ sk ≠ mkfs(class, void_type, `initstate' .field) ' → (r -- sk ∈ addclass(class, fis, st) ↔ r -- sk ∈ st)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
addclass-okarray
,
addobj-addclass-sw
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 22
Used lemmas:
addclass-yes
,
ac-no1
,
ac-no2
,
ac-refin
,
addclass-base
,
Used spec theorems:
Used simplifier rules:
fieldspec
/
elim
storekey
/
test-05
storekey
/
elim-03
storekey
/
test-02
storekey
/
test-01
pair
/fieldinit/
sel-02
assoclist
/fieldinit/
inone
pair
/fieldinit/
elim
storekey
/
test
storefuns
/
instore-01
list
/fieldinit-assoclista/
a
assoclist
/fieldinit/
in-append
list
/fieldinit-assoclista/
c
store
/javastore/
In-insert
refkey
/
inj
refkey
/
inj-01