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Theorem inv-format
⊦ ⟪ubi_io_format#(; m, pebs; err)⟫ ((err = ESUCCESS → m = EB_PAGE_SIZE ∧ mtd-cons(pebs)) ∧ (err = ESUCCESS → ubi-io-initial(pebs)) ∧ (err = ESUCCESS ∨ ⌊err⌋ ))
Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
ubi-io-refine
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 21
Proof steps: 141
Used lemmas:
write-echdr
,
inv-read-echdr
,
format
,
Used spec theorems:
mtd-asm
/
inv-init
mtd-asm
/
inv-erase
encoding-page-size-nonempty
/encoding-echeader/
encode-contract
mtd-asm
/
inv-write
array-copy
/pebs/
at-subarray
array
/pebs/
Put-other
array-splice
/buffer/
range-eq-ext
array-copy
/buffer/
at-copy
ubi-io-base
/
ubi-io-initial
array-copy
/pebs/
subarray-at
ubi-io-base
/
ubi-io-peb-initial
Used simplifier rules:
array-copy
/pebs/
subarray-zero
nat
/
lez
array
/pebs/
Size-mkarray
nat
/
ls-01
nat
/
fle
nat
/
lels-03
nat-basic
/
lf
nat-basic
/
lf-02
nat-basic
/
trans
nat-basic
/
succ
nat-basic
/
ls-02
nat-basic
/
l-02
peb
/
elim
aecheader
/
sel
array
/buffer/
Size-mkarray
encoding-page-size-nonempty
/encoding-echeader/
is-encoded-size
nat
/
let
peb
/
upd-07
array
/pebs/
cputput
peb
/
upd-05
nat-basic
/
lf-01
nat
/
fle-01
array
/pebs/
cgetput
echeader
/
inj
encoding-page-size-nonempty
/encoding-echeader/
is-encoded-unique
array-copy
/buffer/
subarray-elim
array-copy
/buffer/
subarray-copy-elim-exact
eraseblock
/
pebsize-le-page-size
nat
/
le-def
align
/
is-aligned-same
nat
/
elim-sub
eraseblock
/
pebsize-minus-eb-page-size
eraseblock
/
page-size-plus-eq-0
array-copy
/buffer/
size-copy
nat-mult
/
mult-c
nat-mult
/
mult-a
eraseblock
/
lebsize-pebsize
nat-mult
/
two-02
nat-basic
/
zero-01
nat
/
lep
eraseblock
/
emptypeb-at
eraseblock
/
pebsize-le-minus-eb-page-size
array-copy
/buffer/
copy-exact
nat
/
lels-02
array-copy
/pebs/
subarray-at
array-copy
/pebs/
size-subarray
eraseblock
/
emptypeb-size
align
/
is-aligned-ls-eq-zero
eraseblock
/
page-size
align
/
is-aligned-zero
nat-basic
/
zero
nat-basic
/
f
peb
/
sel-06
array
/pebs/
Put-same
aecheader
/
test-02
array
/pebs/
Size-put
nat-basic
/
ref
nat-basic
/
l
nat-basic
/
l-01
nat
/
succ-01
error-class
/
esuccess
nat-basic
/
eq-01
array-copy
/pebs/
subarray-elim
nat
/
ler
nat
/
anti
nat-basic
/
add-base
nat
/
le-ls-simp
nat-basic
/
s-04
mtd-base
/
mtd-valid-peb
peb
/
sel-07
nat
/
lels
nat
/
le-add
nat-basic
/
a
nat-basic
/
c
mtd-base
/
mtd-cons-peb-size
peb
/
sel-05
error
/
disj-91
error-class
/
ecommit
error-class
/
not-esuccess