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Theorem copy-bet-low
⊦ i ≤ i0 ∧ i0 ≤ j0 ∧ j0 < i0 + j → (arraycopy(r, i, r, i0, j, st)[r -- j0 ']) = st[r -- ((j0 - i0) + i) ']
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 17
Used lemmas:
copy-ident
,
copy-upper
,
arrayCopy-rec
,
Used spec theorems:
int-abs
/
numadd-01
int-abs
/
sub-add-08
Used simplifier rules:
int-mult
/
numsub
int-mult
/
Mult-zero
int-mult
/
numls-01
int-mult
/
numle-04
int-abs
/
anti
int-mult
/
associativity
int-mult
/
one
int-mult
/
numls-05
int-basic2
/
ls-01
int-abs
/
sub-ls
int-abs
/
sub-sub
int-abs
/
sub-add-05
int-basic2
/
add-in
int-mult
/
commutativity
int-abs
/
sub-le
int-abs
/
Sub-def
oelem
/intlista/
irreflexivity
int-abs
/
succ-01
int-abs
/
leone
int-abs
/
lep-02
int-abs
/
sub-le-01
int-abs
/
sub-add-04
int-abs
/
ler
int-abs
/
succ-02
int-basic2
/
ax-04
int-abs
/
numsub
int-mult
/
add-mult-two
int-abs
/
sub-eq
storekey
/
inj-04
refkey
/
inj
javastore
/
lookup-if
int-abs
/
les
int-abs
/
sub-ls-01
int-abs
/
lels-04
int-abs
/
lels-01
intnat
/
abs-pred
int-abs
/
lels
int-abs
/
lels-03
int-abs
/
forward-le-05
int-basic2
/
ls-02
int-abs
/
forward-lele
int-abs
/
forward-lels
int-basic2
/
add-c
int-basic2
/
add-a
int-abs
/
sub-add-01