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Theorem copy-upper
⊦ i0 + j ≤ j0 → (arraycopy(r, i, r0, i0, j, st)[r0 -- j0 ']) = st[r0 -- j0 ']
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
copy-bet-bet
,
copy-bet-low
,
copy-bet-up
,
copy-between
,
copy-succ
,
copy-upper-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas:
arrayCopy-base
,
arrayCopy-rec
,
Used spec theorems:
Used simplifier rules:
int-abs
/
numsub
int-basic2
/
ax-04
int-abs
/
lep-01
int-abs
/
sub-eq
storekey
/
inj-04
refkey
/
inj
javastore
/
lookup-if
int-abs
/
lels-03
intnat
/
abs-pred
int-abs
/
sub-add-01
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
sub-le
int-abs
/
lels-01
int-abs
/
forward-lsle
int-abs
/
forward-le-05
int-basic2
/
ls
int-abs
/
lels