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Theorem initial-ex-abstract-initial
⊦ ubi-io-initial(pebs) → (∃ apebs. abs(pebs, apebs) ∧ ubi-io-initial(apebs))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
initialization
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 48
Proof steps: 98
Used lemmas:
Used spec theorems:
ubi-io-base
/
ubi-io-initial
ubi-io-base
/
ubi-io-peb-initial
ubi-io-abs
/
abs-peb
ubi-io-abs
/
abs-echdr
ubi-io-abs
/
abs-vidhdr
array
/buffer/
Extension
array-splice
/buffer/
range-eq-ext
array
/apebs/
Put-other
ubi-io-inv
/
peb-initial
array-copy
/apebs/
at-copy
ubi-io-inv
/
initial
ubi-io-abs
/
abs
Used simplifier rules:
nat-basic
/
succ
peb
/
elim
nat-basic
/
oz
nat
/
eq
array-copy
/apebs/
copy-exact
array
/apebs/
Size-put
array
/apebs/
cgetput
nat-basic
/
s-04
array-copy
/apebs/
size-copy
ubi-io-inv
/
peb-inv-markbad
array
/buffer/
Size-mkarray
nat
/
sub-base
nat-basic
/
zero-01
align
/
is-aligned-same
mtd-base
/
mtd-valid-peb
nat
/
elim-sub
eraseblock
/
pebsize-minus-eb-page-size
apeb
/
sel-06
peb
/
sel-07
peb
/
sel-06
peb
/
sel-05
aecheader
/
disj-02
encoding-page-size-nonempty
/encoding-echeader/
is-encoded-unique
aecheader
/
sel
aecheader
/
disj-03
avidheader
/
disj-01
avidheader
/
test-01
eraseblock
/
emptypage-at
nat
/
ls-le-simp
eraseblock
/
emptypage-size
array-splice
/buffer/
emparray-at
array-copy
/buffer/
subarray-at
array-splice
/buffer/
emparray-len
array-copy
/buffer/
size-subarray
nat
/
let
eraseblock
/
emptypeb-at
eraseblock
/
pebsize-le-minus-eb-page-size
nat
/
ler
eraseblock
/
emptypeb-size
nat-mult
/
mult-c
nat-mult
/
mult-a
eraseblock
/
lebsize-pebsize
eraseblock
/
page-size
nat
/
fle
nat
/
lels
nat
/
fle-01
nat-basic
/
lf
nat-basic
/
l-02
eraseblock
/
lebsize-neq-zero
nat-basic
/
l
nat-mult
/
two-02
array
/apebs/
Size-mkarray
nat-basic
/
neq-04
nat-basic
/
neq-01
nat-basic
/
c
nat-basic
/
a
nat-basic
/
add-base
array-copy
/pebs/
subarray-at
ubi-io-inv
/
peb-inv-write-echdr
apeb
/
sel-08
apeb
/
sel-04
aecheader
/
test-02
apeb
/
sel-05
array-copy
/pebs/
size-subarray
nat
/
lels-02
nat-basic
/
lf-01
nat-basic
/
lf-02
nat-basic
/
f
nat-basic
/
ref
array-copy
/buffer/
subarray-elim
encoding-page-size-nonempty
/encoding-echeader/
is-encoded-size
nat
/
le-ls-simp
array-copy
/pebs/
subarray-elim
nat-basic
/
ls-02