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Theorem inv-read
∃ lpt, log, orphans. persistence-io-inv(sb, logoff, avol, lpt, log, orphans), ebm-vol-inv(avol), sb.main + m < # avol, avol[sb.main + m].mapped?, n + n0 ≤ # buf, m0 + n0 ≤ LEB_SIZE ⊦ ⟪persistence_io_read#(m, m0, n, n0, sb, avol; buf; err)⟫ true
Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 28
Used lemmas:
read
,
Used spec theorems:
ebm-vol-inv
/
ebm-vol-inv-lebsize
Used simplifier rules:
nat-basic
/
l
persistence-io-inv
/
disk-layout-avol-neq-0
nat-basic
/
lf-01
persistence-io-inv
/
persistence-io-inv
superblock
/
elim
aleb
/
inj
aleb
/
ex
nat
/
sub-ls
nat
/
fle
aleb
/
test-02
aleb
/
sel
array-splice
/buffer/
append-a
array-splice
/buffer/
emparray-len
array-splice
/buffer/
append-len
error-class
/
esuccess
error-class
/
not-esuccess
nat
/
elim-sub
array-splice
/buffer/
range-eq-refl
nat-basic
/
add-base
nat
/
ler
nat
/
fle-01
nat-basic
/
lf-02
nat-basic
/
f
nat-basic
/
l-05
nat
/
le-ls-simp
nat
/
le-def
nat
/
ge
error
/
disj-91
error-class
/
ecommit
aleb
/
disj
aleb
/
aleb-not-mapped
nat-basic
/
l-06
nat-basic
/
c
nat-basic
/
a
superblock
/
sel-13