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Theorem stream-split-lastpage
⊦ ¬ m ∈ content → content.stream to m * VFS_PAGE_SIZE + VFS_PAGE_SIZE = (content.stream to m * VFS_PAGE_SIZE) + (σ⊥ to VFS_PAGE_SIZE)
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
afs-contracts
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 10
Used lemmas:
zeropage-mod-pagesize
,
zerostream-size
,
getpage
,
getbyte
,
stream
,
Used spec theorems:
stream
/buffer-inf/
extensionality
nat
/
le-addex
stream
/buffer-inf/
get-append-ls
Used simplifier rules:
stream
/buffer-inf/
to-inf
nat-basic
/
f
nat-inf
/
ls-natinf-to-nat-1-2
nat-inf
/
add-comm
nat-inf
/
add-assoc
nat-inf
/
eq-natinf-to-nat-2-2
stream
/buffer-inf/
size-to
stream
/buffer-inf/
size-append
nat-inf
/
add-fin
nat-basic
/
ref
nat-basic
/
s-04
nat-mult
/
coef-21
nat
/
fle-01
page
/
page-size
nat-div
/
mult
nat-mult
/
mult-a
nat-mult
/
mult-c
nat-basic
/
a
nat-basic
/
c
nat-div
/
mod-mult
nat-basic
/
l
nat-div
/
zero-01
nat-basic
/
add-base
store
/file-content/
notmemlookup
nat-div
/
mod-eq
stream
/buffer-inf/
sel-fin
nat
/
lels
stream
/buffer-inf/
inf-size-to
nat-inf
/
less-fin
nat
/
le-ls-simp
stream
/buffer-inf/
get-infto
stream
/buffer-inf/
get-append-notls
nat-inf
/
sel
nat
/
le-def
nat-inf
/
less-inf1
nat
/
ls-le-simp
nat
/
ls-01
stream
/buffer-inf/
get-to
buffer-inf-conv
/
at-emptystream
stream
/buffer-inf/
append-assoc