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Theorem abs-nodes-nospace-header-h
NODE_HEADER_SIZE ≤ # buf ⊦ is-encoded(nodeheader(m, boolvar0), subarray(buf, 0, NODE_HEADER_SIZE)) ∧ # buf < 2 * NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE) → (abs-nodes(buf, n, x, lax, weak) ↔ abs-failed(buf) ∧ x = [] ∧ lax = [] ∧ weak)
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
persistence-asm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 9
Proof steps: 23
Used lemmas:
ls-abs-node-buf-size
,
abs-nodes-headerspace
,
abs-nodes-mkbuf0-empty-h
,
abs-nodes-first-adr-explicit
,
abs-nodes-rec
,
abs-nodes-base
,
abs-nodes-elems-empty-adr-empty-h
,
abs-failed-abs-nodes-h
,
Used spec theorems:
abs-node
/
abs-padding
abs-node
/
abs-node
encoding-node-base
/
alignedsize
Used simplifier rules:
nat-mult
/
numeral-30
node-header-size
/
2-node-header-size-add-eq-0
nat
/
fle-01
nat
/
lez-01
array
/buffer/
Size-mkarray
abs-node
/
abs-padding-abs-failed-append
list
/
c
laddress
/
elim
list
/laddress-list/
in-rec
list
/laddress-list/
in-14
abs-node
/
abs-padding-nospace
list
/
e-01
array-splice
/buffer/
append-zero-right
abs-node
/
buf-size-zero
list
/
a
align
/
is-aligned-mod
nat-basic
/
lf-01
nat-basic
/
l-05
array-copy
/buffer/
size-subarray
array-splice
/buffer/
subarray-elim-right
nat-mult
/
ls-08
nat
/
fle
nat-basic
/
lf-02
nat
/
le-def
nat-basic
/
add-base
list-data
/laddress-list/
elim-list-c
list
/laddress-list/
a
list
/laddress-list/
e-01
list
/laddress-list/
c
nat-basic
/
l
nat-mult
/
two-02
node-header-size
/
node-header-size-add-eq-0
nat-basic
/
eq-01
nat-basic
/
f
nat-mult
/
numeral-24
node-header
/
inj
encoding-fixed-size-nonempty
/encoding-node-header/
is-encoded-unique
array-splice
/buffer/
subarray-append-left
abs-node
/
lfw-is-encoded-nodeheader-size
nat
/
lep
nat-mult
/
one
nat-mult
/
numeral-19
array-splice
/buffer/
append-a
node-header-size
/
validtrailer-size
array-splice
/buffer/
append-len
nat-mult
/
two-zero-01
node-header-size
/
nodeheader-notzero
nat-mult
/
mult-a
nat-mult
/
mult-c
nat-basic
/
l-02
nat-basic
/
a
nat-basic
/
c
align
/
alignup-same
array-copy
/buffer/
subarray-elim