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Theorem prepost-read-orphans
persistence-io-inv(sb, logoff, avol, lpt, log, orphans0), ebm-vol-inv(avol) ⊦ ⟪persistence_io_read_orphans#(sb, avol; orphans; err)⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → orphans = orphans0))
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: 13
Proof steps: 56
Used lemmas:
prepost-decode-orphans
,
read-orphans
,
Used spec theorems:
array-splice
/buffer/
copy2append
array-splice
/buffer/
append-a
array-splice
/buffer/
subarray-elim-right
array-copy
/buffer/
subarray-elim
encoding-orphans
/
is-encoded-pad
ebm-vol-inv
/
ebm-vol-inv
encoding-orphans
/
is-encoded-size
Used simplifier rules:
persistence-io-inv
/
persistence-io-inv
superblock
/
elim
superblock
/
sel-10
superblock
/
sel-11
nat
/
sub-ls
ebm-vol-inv
/
ebm-vol-inv-lebsize
aleb
/
inj
error-class
/
esuccess
aleb
/
ex
nat
/
elim-sub
nat-basic
/
eqs
nat-basic
/
lf-02
nat-basic
/
lf
oelem
/nat-set/
transitivity
array-splice
/buffer/
emparray-len
array-copy
/buffer/
size-subarray
array-splice
/buffer/
append-zero-right
array-splice
/buffer/
append-zero-left
nat
/
sub-base
array-copy
/buffer/
subarray-zero
nat-basic
/
l-01
eraseblock
/
lebsize-neq-zero
nat
/
fle
nat
/
lels-03
nat-mult
/
ls-02
nat
/
lels-02
nat
/
zero
error-class
/
not-esuccess
oelem
/nat-set/
irreflexivity
nat
/
ge
nat
/
lez
array-splice
/buffer/
range-eq-0
error
/
disj-91
error-class
/
ecommit
persistence-io-inv
/
disk-layout-avol-neq-0
superblock
/
sel-13
nat-mult
/
zero-01
nat-basic
/
lf-01
nat
/
le-def
persistence-io-inv
/
disk-layout-size-vol-orphans
nat
/
lels
nat
/
ler
array
/buffer/
Size-mkarray
nat-basic
/
add-base
set-basic
/nat-set/
size-zero-01
nat-mult
/
mult-c
nat-mult
/
mult-a
encoding-fixed-size
/encoding-nat/
encoding-requires-space
nat-mult
/
zero-06
set-basic
/nat-set/
size-zero
nat-basic
/
f
nat
/
fle-01
array-splice
/buffer/
append-a
array-splice
/buffer/
append-len
aleb
/
sel
aleb
/
test-02
encoding-elem-alignment
/encoding-superblock/
alignment-not-zero
nat-basic
/
l-02
nat-basic
/
a
nat-basic
/
c
align
/
is-aligned-add