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Theorem refine-write-vidhdr
ubi-io-write-vidhdr-pre(m, avhdr, apebs), abs(pebs, apebs), ubi-io-inv(apebs), m0 = EB_PAGE_SIZE, mtd-cons(pebs) ⊦ ⟪ubi_io_write_vidhdr#(m, avhdr, m0; pebs; err)⟫ ⟨aubi_io_write_vidhdr#(m, avhdr; 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: 11
Proof steps: 100
Used lemmas:
Used spec theorems:
encoding-page-size-nonempty
/encoding-vidheader/
encode-contract
ubi-io-abs
/
abs-peb
ubi-io-abs
/
abs-vidhdr
ubi-io-inv
/
ubi-io-inv-extract
Used simplifier rules:
apeb
/
elim
avidheader
/
elim
array
/buffer/
Size-mkarray
encoding-page-size-nonempty
/encoding-vidheader/
is-encoded-size
align
/
is-aligned-le-eq-zero
align
/
is-aligned-same
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
array-copy
/buffer/
subarray-copy-lower
eraseblock
/
lebsize-pebsize
nat-mult
/
le-num
array-copy
/buffer/
subarray-copy-elim-exact
nat-mult
/
mult-c
nat-mult
/
mult-a
eraseblock
/
pebsize-le-2page-size
nat-mult
/
two-02
array-copy
/buffer/
subarray-copy-higher
eraseblock
/
pebsize-le-page-size
nat
/
le-def
nat
/
ler
apeb
/
sel-07
nat-basic
/
eq-02
apeb
/
sel-06
peb
/
sel-07
peb
/
sel-06
peb
/
sel-05
avidheader
/
disj-03
encoding-page-size-nonempty
/encoding-vidheader/
is-encoded-unique
avidheader
/
sel-07
avidheader
/
sel-09
avidheader
/
sel-10
avidheader
/
sel-08
avidheader
/
sel-06
avidheader
/
disj-02
nat
/
ls-le-simp
mtd-base
/
mtd-cons-peb-size
ubi-io-inv
/
peb-inv-empty-vidhdr
array-copy
/buffer/
subarray-elim
apeb
/
sel-05
apeb
/
sel-04
apeb
/
sel-08
avidheader
/
test-03
ubi-io-pre
/
write-vidhdr-pre
nat-basic
/
add-base
nat-basic
/
a
nat-basic
/
c
nat-basic
/
zero
avidheader
/
test-01
apeb
/
upd-05
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-vidhdr
peb
/
elim