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Theorem is-encoded-emptypage-append
⊦ is-aligned(# buf, EB_PAGE_SIZE) → ¬ is-encoded(nx, buf + emptypage)
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:
is-encoded-size
,
is-encoded-emptypage
,
is-encoded-rec
,
is-encoded-base
,
Used spec theorems:
array-splice
/buffer/
array-split1
array-splice
/buffer/
append-a
array-splice
/buffer/
append-inj
array
/buffer/
Extension
Used simplifier rules:
array-splice
/buffer/
append-eq-emptyar
array
/buffer/
Size-mkarray
encoding-page-size-nonempty
/encoding-ref-node/
is-encoded-size
list
/nat-list-set/
a
list
/nat-list-set/
c
eraseblock
/
page-size-plus-eq-0
align
/
is-aligned-add
align
/
is-aligned-same
align
/
is-aligned-le-eq-zero
align
/
is-aligned-zero
array-splice
/buffer/
append-left-size0
align
/
is-aligned-ls-eq-zero
nat
/
le-def
array-splice
/buffer/
append-zero-right
eraseblock
/
emptypage-size
array-splice
/buffer/
append-len
array-splice
/buffer/
append-a
nat
/
lels
nat
/
ls-le-simp
eraseblock
/
emptypage-at
nat-mult
/
two-02
nat-basic
/
a
nat-basic
/
c
nat-mult
/
coef-14
nat
/
add-num-03
eraseblock
/
page-size
nat-mult
/
mult-a
nat-mult
/
mult-c