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Theorem isarray-update
⊦ r ≠ r0 → (is_array(r, update(r0, fis, st)) ↔ is_array(r, st))
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
is_array-update
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 11
Proof steps: 33
Used lemmas:
oktype-okval
,
okreftype
,
okarrayNotNull
,
update-at
,
update-in
,
is-any-array
,
Used spec theorems:
storearrays
/
is_arrayref
Used simplifier rules:
int-abs
/
lels-04
int-abs
/
lels-03
int-abs
/
forward-le-05
typefuns
/
subarray1
javavalue
/
test-25
javavalue
/
elim-02
int-abs
/
forward-le-01
typefuns
/
ref
javatype
/
sel-01
javavalue
/
sel-11
int-abs
/
lels
int-abs
/
lels-01
typefuns
/
array
javavalue
/
sel-09
javavalue
/
test-19
javavalue
/
test-92
javavalue
/
elim-10
javatype
/
test-09
javatype
/
elim-01
storefuns
/
instore-01