[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem abs-nodes-subarray-failed
n < # buf, n ≠ 0 ⊦ abs-nodes(buf, m, x, lax, false) ∧ is-aligned(n, NODE_HEADER_SIZE) ∧ x ≠ [] ∧ # buf = x.flashsize → (∃ n0. n0 < # x ∧ abs-nodes(subarray(buf, 0, n), m, prefixn(n0, x), prefixn(n0, lax), true))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
persistence-refine
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 16
Proof steps: 39
Used lemmas:
abs-nodes-rec
,
abs-nodes-mkbuf0-empty-h
,
abs-nodes-one-h
,
abs-nodes-base
,
ls-abs-node-buf-size
,
abs-nodes-no-padding-rec
,
size-rec
,
flashsize-eq-0
,
abs-nodes-elems-adr-length-h
,
Used spec theorems:
array-splice
/buffer/
subarray-append-shift-right
list
/
elim-first
Used simplifier rules:
list
/
e-01
list
/
c
nat-basic
/
eq-01
list-data
/laddress-list/
elim-list-c
nat-basic
/
succ
list
/laddress-list/
len-05
list
/laddress-list/
c
laddress
/
elim
array-splice
/buffer/
subarray-elim-right
nat
/
le-def
list-prefixn
/laddress-list/
prefixn-0
list-prefixn
/
prefixn-0
nat-basic
/
zero-01
abs-node
/
abs-node-subarray-failed
nat
/
lels-03
nat-basic
/
l-01
nat
/
let
nat
/
fle-01
nat
/
elim-sub
nat-basic
/
lf-01
nat-basic
/
l
align
/
is-aligned-add
abs-node
/
abs-node-aligned-headersize
nat
/
lep
nat
/
lels
nat
/
le-add
array-splice
/buffer/
append-eq-emptyar
nat-basic
/
z-01
nat-mult
/
two-zero-01
nat-mult
/
mult-a
nat-mult
/
mult-c
array-copy
/buffer/
subarray-zero
nat-basic
/
zero
align
/
is-aligned-zero
node-header-size
/
nodeheader-notzero
abs-node
/
buf-size-zero
list-prefixn
/laddress-list/
prefixn-single-1
list-prefixn
/laddress-list/
prefixn-append-left
list
/laddress-list/
len-02
list-prefixn
/
prefixn-single-1
list-prefixn
/
prefixn-append-left
list
/
len-02
nat-basic
/
one-01
list
/laddress-list/
c-04
array-splice
/buffer/
append-len
array-splice
/buffer/
append-zero-right
array
/buffer/
Size-mkarray
nat-basic
/
add-base
list
/
e
abs-node
/
abs-node-unique
encoding-node-base
/
node-flash-size
list-data
/laddress-list/
l
nat-basic
/
f
list-prefixn
/laddress-list/
prefixn-prepend-one
list
/
a
list-prefixn
/
prefixn-prepend-one
nat-basic
/
c
nat-basic
/
a
nat-basic
/
s-04
array-splice
/buffer/
append-a
abs-node
/
abs-node-no-abs-padding
list
/laddress-list/
e-01
list
/laddress-list/
a
list
/laddress-list/
c-08
laddress
/
sel-02
laddress
/
sel-01
abs-node
/
abs-node-abs-node
list
/laddress-list/
c-07
array-splice
/buffer/
append-eq-left