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Theorem read-inv-post
⊦ files[ino] = mkfile(m, md, m1, content) ∧ read-inv(n0, n1, mkinode(ino, md, false, m0, 0, m), buf0, buf1, n, dirs, files) → copy((content.stream to m).buf, n0, buf0, 0, n) = buf1
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 18
Used lemmas:
read-inv
,
read-inv-strong
,
Used spec theorems:
array
/buffer/
Extension
stream
/buffer-inf/
extensionality
stream
/buffer-inf/
get-append-ls
stream
/buffer-inf/
get-from
Used simplifier rules:
abstract-file
/
sel-01
abstract-file
/
sel-06
nat
/
ls-03
nat-basic
/
l-02
afs-base
/
afs-cons-file-nlink
inode
/
sel-11
inode
/
sel-01
buffer-inf-conv
/
tobuf-at
nat
/
lep-02
nat
/
let
nat
/
le-def
nat-inf
/
add-fin
stream
/buffer-inf/
fin-to
nat
/
sub-base
nat-basic
/
add-base
nat-basic
/
zero-01
array-copy
/buffer/
at-copy
array-copy
/buffer/
size-copy
stream
/buffer-inf/
size-append
nat
/
lels-03
stream
/buffer-inf/
append-assoc
nat-inf
/
sel
stream
/buffer-inf/
get-append-notls
nat
/
elim-sub
nat-basic
/
lf-01
nat-basic
/
a
nat
/
lep
buffer-inf-conv
/
tostream-size
nat-inf
/
ls-natinf-to-nat-2-1
buffer-inf-conv
/
tostream-at
nat
/
lels
nat
/
fle-01
oelem
/nat-set/
irreflexivity
nat
/
fle
nat-basic
/
f
nat
/
ls-le-simp
stream
/buffer-inf/
get-to
nat-inf
/
less-fin
stream
/buffer-inf/
size-to
nat-inf
/
less-inf1
afs-stream
/
stream-size-from
afs-stream
/
stream-at
nat-basic
/
c
afs-stream
/
stream-size
nat-inf
/
inf-less
nat-inf
/
addeqinf-cancel
nat-inf
/
disj
nat-inf
/
add-assoc
nat-inf
/
add-comm