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Theorem abs-nodes-no-padding-last
⊦ # buf = (x + a ').flashsize → ( abs-nodes(buf, m, x + a ', lax + ladr ', false) ↔ (∃ buf0, buf1. buf = buf0 + buf1 ∧ abs-nodes(buf0, m, x, lax, false) ∧ abs-node(buf1, a) ∧ ladr = @(# buf0 + m, a.flashsize)))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
abs-nodes-add-crash-aligned-nodes
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 11
Proof steps: 26
Used lemmas:
inj-adr
,
abs-nodes-one-abs-node
,
abs-nodes-append-h
,
abs-nodes-rec
,
abs-nodes-unique-strong-h
,
abs-nodes-elems-adr-length-h
,
abs-nodes-no-padding-rec
,
size-rec
,
abs-nodes-mkbuf0-empty-h
,
ls-abs-node-buf-size
,
abs-nodes-no-padding-one
,
flashsize-one
,
Used spec theorems:
Used simplifier rules:
list
/
Nil
list
/laddress-list/
c-05
array-splice
/buffer/
append-zero-left
nat-basic
/
add-base
list
/
c
nat-basic
/
eq-01
encoding-node-base
/
node-flash-size
list
/laddress-list/
app-02
list
/laddress-list/
e
list-data
/laddress-list/
elim-list-c
list
/laddress-list/
e-02
laddress
/
elim
list
/laddress-list/
in-14
list
/laddress-list/
in-empty
list
/laddress-list/
c-03
list
/laddress-list/
Nil
list
/
len
list
/
len-02
list
/
a
list-data
/laddress-list/
size-01
nat-basic
/
oz
list
/laddress-list/
in-17
list
/laddress-list/
in-append
list
/laddress-list/
in-15
list
/laddress-list/
in-rec
list
/laddress-list/
c-06
list
/laddress-list/
c
nat
/
lels
nat
/
le-add
abs-node
/
buf-size-zero
array
/buffer/
Size-mkarray
nat-basic
/
z-01
nat-mult
/
two-zero-01
node-header-size
/
nodeheader-notzero
nat-mult
/
mult-a
nat-mult
/
mult-c
nat-basic
/
c
nat-basic
/
a
array-splice
/buffer/
append-len
abs-node
/
abs-node-unique
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