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Theorem copy-comp
⊦ arraycomp(r1, i1, r2, i2, i3, st0) ∧ i2 + i3 ≤ st0[r2 -- _length] .intval ∧ 0 ≤ i3 ∧ 0 ≤ i2 ∧ okarray(r2, ty, st0) → arraycopy(r1, i1, r2, i2, i3, st0) = st0
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: 47
Proof steps: 91
Used lemmas:
oktype-okval
,
okreftype
,
okarrayNotNull
,
okarray-05
,
Used spec theorems:
store
/javastore/
Extension
storearrays
/
copy-at
storearrays
/
get-alleq
storearrays
/
is_arrayref
storearrays
/
copy-between
storearrays
/
copy-lower
storearrays
/
copy-upper
storearrays
/
copy-bet-bet
storearrays
/
copy-bet-low
int-div
/
mod-zero-03
storearrays
/
comp-same
int-mult
/
numls-02
int-mult
/
zero-ls-02
int-mult
/
zero-ge-add
int-abs
/
sub-sub
int-mult
/
dist-sub-split
int-abs
/
sub-add-01
int-div
/
divmod-rew
int-mult
/
dist-lsplit
int-abs
/
numadd-01
Used simplifier rules:
int-abs
/
elim-sub
int-abs
/
sub-sub-04
int-abs
/
sub-add-06
int-abs
/
sub-eq-01
int-abs
/
sub-zero-01
int-mult
/
dist-rmerge
int-abs
/
lels-02
int-mult
/
zero-gr-02
int-mult
/
one
int-mult
/
numle-04
int-basic2
/
add-less
oelem
/intlista/
lel
int-abs
/
ler
int-abs
/
minus-sub
int-mult
/
minus-one-01
int-abs
/
numadd-01
int-basic1
/
ls-01
int-mult
/
succ-rmerge
int-basic2
/
lst-04
int-mult
/
ls-sub
int-abs
/
neg-07
int-mult
/
minus-left
int-abs
/
sub-add-09
int-abs
/
le-add
int-abs
/
numleledel-01
int-abs
/
numle-02
int-abs
/
mone-06
int-abs
/
numls-02
int-abs
/
zero-gels-04
int-abs
/
lep
int-abs
/
sub-le
int-abs
/
zero-gels-01
int-abs
/
forward-le-02
oelem
/intlista/
irreflexivity
int-basic2
/
zero-02
int-abs
/
minus-ass
int-basic2
/
ls
int-mult
/
commutativity
int-mult
/
associativity
int-mult
/
Mult-zero
int-abs
/
sub-sub-03
int-div
/
divmod-rew
int-basic2
/
add-in
int-basic2
/
ls-01
oelem
/intlista/
transitivity
int-abs
/
sub-eq
int-div
/
div-elim-pospos
int-abs
/
succ-02
int-mult
/
add-mult-two
int-abs
/
succ-01
int-abs
/
sub-ls-01
int-basic1
/
forward-pos
int-abs
/
forward-lele
int-abs
/
sub-ls
int-basic2
/
ax-04
int-abs
/
sub-le-01
int-abs
/
Sub-def
int-abs
/
forward-le
int-abs
/
sub-add-01
storearrays
/
copy-bet-up
int-basic2
/
ls-02
int-abs
/
forward-lels
int-abs
/
forward-le-05
int-abs
/
forward-lsle
int-abs
/
lels-03
storearrays
/
copy-in-between
storearrays
/
copy-in-upper
int-abs
/
lels-04
storearrays
/
copy-in-lower
javavalue
/
test-92
javavalue
/
elim-10
javavalue
/
test-25
javavalue
/
elim-02
javatype
/
test-09
javatype
/
elim-01
storefuns
/
instore-01
typefuns
/
array
javavalue
/
sel-09
javavalue
/
test-19
int-basic2
/
add-c
int-basic2
/
add-a
int-abs
/
lels
int-abs
/
lels-01
storearrays
/
copy-infs
storearrays
/
copy-atfield
storearrays
/
copy-in
int-abs
/
forward-le-01
storearrays
/
Comp-get-02