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Theorem abs-split-by-address-h
⊦ abs-nodes(buf, m, x, lax0 + ladr ' + lax1, boolvar0) → (∃ buf0, buf1, buf2, x0, a, x1. x = x0 + a ' + x1 ∧ # x0 = # lax0 ∧ buf = buf0 + buf1 + buf2 ∧ ladr = @(m + # buf0, a.flashsize) ∧ # buf1 = a.flashsize ∧ abs-node(buf1, a))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
abs-split-by-address
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 12
Proof steps: 38
Used lemmas:
ls-abs-node-buf-size
,
abs-nodes-rec
,
abs-nodes-elems-empty-adr-empty-h
,
Used spec theorems:
Used simplifier rules:
encoding-node-base
/
node-flash-size
list
/
e-03
list
/
c
list
/laddress-list/
first-02
list
/laddress-list/
e
list
/laddress-list/
e-02
laddress
/
elim
list
/laddress-list/
app-02
list-data
/laddress-list/
elim-list-c
list
/laddress-list/
in-14
list
/laddress-list/
e-03
list
/laddress-list/
in-empty
list
/laddress-list/
c-03
list
/laddress-list/
c-07
laddress
/
sel-01
laddress
/
sel-02
list
/laddress-list/
c-08
list
/laddress-list/
e-01
list
/laddress-list/
Nil
list
/
c-06
list
/
Nil
list-data
/
l
list-data
/laddress-list/
size-01
array-splice
/buffer/
append-zero-left
array-splice
/buffer/
append-eq-left
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-basic
/
add-base
abs-node
/
abs-padding-mkbuf0
list
/
in-rec
list
/
in-append
list
/
in-14
list
/laddress-list/
len-05
list
/laddress-list/
a
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
list
/
a
list
/
len-05
nat-basic
/
succ
nat-basic
/
eq-01
nat-basic
/
a
nat-basic
/
c
array-splice
/buffer/
append-a
array-splice
/buffer/
append-len
laddress
/
inj
abs-node
/
abs-node-unique