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Theorem refine-write-echdr
ubi-io-write-echdr-pre(m, aehdr, apebs), abs(pebs, apebs), ubi-io-inv(apebs), m0 = EB_PAGE_SIZE, mtd-cons(pebs) ⊦ ⟪ubi_io_write_echdr#(m, aehdr, m0; pebs; err)⟫ ⟨aubi_io_write_echdr#(m, aehdr; apebs; err0)⟩ (abs(pebs, apebs) ∧ err = err0)
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: 12
Proof steps: 102
Used lemmas:
Used spec theorems:
encoding-page-size-nonempty
/encoding-echeader/
encode-contract
ubi-io-abs
/
abs-peb
mtd-base
/
mtd-cons-extract
array-splice
/buffer/
range-eq-subarrays
ubi-io-abs
/
abs-echdr
Used simplifier rules:
apeb
/
elim
aecheader
/
elim
array
/buffer/
Size-mkarray
encoding-page-size-nonempty
/encoding-echeader/
is-encoded-size
align
/
is-aligned-le-eq-zero
align
/
is-aligned-same
nat
/
let
array
/pebs/
cputput
array
/pebs/
Put-same
array
/pebs/
Size-put
error-class
/
esuccess
peb
/
upd-07
peb
/
upd-05
ubi-io-abs
/
abs-reduce
eraseblock
/
lebsize-pebsize
nat-mult
/
twole-02
array-copy
/buffer/
subarray-copy-lower
eraseblock
/
pebsize-le-2page-size
nat-mult
/
two-02
array-copy
/buffer/
subarray-copy-elim-exact
eraseblock
/
pebsize-le-page-size
nat
/
le-def
eraseblock
/
page-size-plus-eq-0
nat-mult
/
one
nat-mult
/
numeral-28
apeb
/
sel-07
apeb
/
sel-06
apeb
/
sel-05
nat
/
sub-base
nat
/
lez
peb
/
sel-06
peb
/
sel-05
peb
/
sel-07
mtd-base
/
mtd-valid-peb
apeb
/
inj
ubi-io-abs
/
abs-peb-empty
ubi-io-abs
/
subarray-emptypeb1
ubi-io-abs
/
subarray-emptypeb0
nat-mult
/
mult-c
nat-mult
/
mult-a
eraseblock
/
subarray-emptypeb-eq-emptyleb
nat
/
ler
eraseblock
/
emptypeb-size
array-copy
/buffer/
subarray-elim
mtd-base
/
mtd-cons-peb-size
nat
/
ls-le-simp
aecheader
/
disj-03
aecheader
/
sel
encoding-page-size-nonempty
/encoding-echeader/
is-encoded-unique
aecheader
/
disj-02
apeb
/
sel-04
apeb
/
sel-08
aecheader
/
test-02
ubi-io-pre
/
write-echdr-pre
nat-basic
/
add-base
nat-basic
/
a
nat-basic
/
c
nat-basic
/
zero
aecheader
/
test-01
apeb
/
upd-04
array
/apebs/
put-same-content
align
/
is-aligned-zero
align
/
is-aligned-ls-eq-zero
eraseblock
/
page-size
error-class
/
not-esuccess
error
/
disj-91
error-class
/
ecommit
nat-basic
/
f
ubi-io-abs
/
abs-size-apebs0
nat
/
fle-01
nat
/
lels
ubi-io-abs
/
abs-bad
ubi-io-abs
/
abs-fwd
ubi-io-abs
/
abs-fillcount-empty-echdr
peb
/
elim