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Theorem isarray-addarray-01
⊦ r1 ≠ r0 → (is_array(r1, addarray(r0, ty, vals, st)) ↔ is_array(r1, st))
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
is_array-other-addarray
,
validref-addarray
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 16
Used lemmas:
is_array-init
,
okreftype-init
,
in-1init
,
lookup-1init
,
in-init-01
,
isarray-addarray-other
,
Used spec theorems:
okfuns
/
is-any-array
okfuns
/
okarrayNotNull
Used simplifier rules:
int-abs
/
lels-03
okfuns
/
oktype-st
int-abs
/
forward-le-05
int-abs
/
lels-04
javavalue
/
sel-04
javavalue
/
test-25
javavalue
/
elim-02
int-abs
/
forward-le-01
int-abs
/
lels
int-abs
/
lels-01
javatype
/
sel-01
javavalue
/
sel-11
javavalue
/
test-92
javavalue
/
elim-10
javatype
/
test-09
javatype
/
elim-01
storefuns
/
instore-01
okfuns
/
okarray-05