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Theorem prepost-read-lebs
ebm-vol-inv(avol), n + m ≤ # avol, mapped-full?(avol, n, m) ⊦ ⟪persistence_io_read_lebs#(n, m, LEB_SIZE, avol; ; buf, err)⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → buf = lebs(avol, n, m)))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
inv-recover
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 41
Used lemmas:
read-lebs
,
Used spec theorems:
array-splice
/buffer/
copy2append0
persistence-io-inv
/
lebs-rec
persistence-io-inv
/
mapped-full
Used simplifier rules:
nat-basic
/
ls-02
nat
/
anti
nat
/
lez
array
/buffer/
Size-mkarray
nat-mult
/
zero
array-copy
/buffer/
subarray-zero
persistence-io-inv
/
lebs-base
nat
/
ls-01
nat-mult
/
zero-02
nat
/
lels-03
nat
/
sub-ls
ebm-vol-inv
/
ebm-vol-inv-lebsize
nat
/
not-zero
aleb
/
inj
nat-mult
/
rsucc-02
array-copy
/buffer/
size-copy
error-class
/
esuccess
array-splice
/buffer/
subarray-append-left
nat-basic
/
eq-01
nat
/
sub-add
nat
/
add
array-splice
/buffer/
emparray-len
array-splice
/buffer/
append-len
array-splice
/buffer/
append-eq-left
array-splice
/buffer/
append-a
aleb
/
test-02
aleb
/
sel
nat-basic
/
s-04
oelem
/nat-set/
irreflexivity
error-class
/
not-esuccess
nat
/
elim-sub
array-splice
/buffer/
range-eq-refl
nat
/
lels-02
oelem
/nat-set/
sls
nat
/
fle-01
nat-mult
/
zero-01
eraseblock
/
lebsize-neq-zero
nat-basic
/
l-05
nat
/
ls-le-simp
persistence-io-inv
/
lebs-size
nat-basic
/
eq-02
nat-basic
/
z-01
nat
/
le-ls-simp
nat
/
ge
error
/
disj-91
error-class
/
ecommit
array-copy
/buffer/
subarray-elim
aleb
/
aleb-not-mapped
nat-mult
/
mult-c
nat-mult
/
mult-a
nat-basic
/
one-01
nat-mult
/
coef-21
eraseblock
/
lebsize-add-eq-0
nat-basic
/
lf-02
nat-basic
/
f
nat
/
le-def
nat
/
le-add
nat
/
lep-02
nat
/
let
nat
/
lels
nat
/
ler
nat-basic
/
add-base
nat
/
lep
nat-basic
/
a
nat-basic
/
c
nat-basic
/
l
nat-basic
/
l-01
aleb
/
ex
aleb
/
disj