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Theorem prepost-encode-orphans
orphans0 = orphans ⊦ ⟪persistence_io_encode_orphans#(EB_PAGE_SIZE, LEB_SIZE; orphans, buf; err)⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → is-encoded-pad(orphans0, # orphans0, buf) ∧ # buf ≤ LEB_SIZE))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
prepost-write-orphans
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 37
Used lemmas:
encode-orphans
,
Used spec theorems:
encoding
/encoding-nat/
encode-contract
array-splice
/buffer/
subarray-split-size
encoding-orphans
/
is-encoded-split-one
set-basic
/nat-set/
Extension
encoding-orphans
/
is-encoded-pad
array-splice
/buffer/
subarray-append-consec0
Used simplifier rules:
error
/
disj-35
error-class
/
enospc
array
/buffer/
Size-mkarray
align
/
alignup-is-aligned
set-basic
/nat-set/
sub-idem
align
/
alignup-is-bigger
set-union
/nat-set/
diff-idem
array-copy
/buffer/
subarray-zero
encoding-orphans
/
is-encoded-base
eraseblock
/
lebsize-page-size-is-aligned
align
/
alignup-le-is-aligned
nat
/
le-ls-simp
nat
/
fle-01
nat-mult
/
ls-01
encoding-fixed-size
/encoding-nat/
encoding-size
encoding-fixed-size
/encoding-nat/
is-encoded-size
nat-basic
/
s-04
nat
/
ls-01
nat-basic
/
one-01
set-union
/nat-set/
subseteq-rem-del
set-union
/nat-set/
del-size
set-union
/nat-set/
sub-del-03
nat
/
elim-pred-c
nat-mult
/
rsucc-02
nat-basic
/
oz
nat
/
elim-sub
encoding
/encoding-nat/
is-encoded-unique
set-union
/nat-set/
Difference
set-basic
/nat-set/
size-zero
set-basic
/nat-set/
size-zero-01
set-basic
/nat-set/
ne-01
set-basic
/nat-set/
sub-in
set-basic
/nat-set/
In-empty
set-basic
/nat-set/
sub-e
set-union
/nat-set/
diff-e
nat-basic
/
add-base
nat-mult
/
mult-c
nat-mult
/
mult-a
nat-mult
/
zero
set-basic
/nat-set/
Size-empty
nat
/
let
nat
/
lels
nat
/
gr-def
array-splice
/buffer/
append-len
encoding-orphans
/
is-encoded-unique
nat
/
lep
nat-basic
/
c
array-copy
/buffer/
subarray-elim
nat-basic
/
eq-02
nat-basic
/
a
nat
/
le-def
nat-basic
/
lf-02
nat-basic
/
lf-01
nat
/
fle
nat-basic
/
f
nat-basic
/
l
oelem
/nat-set/
irreflexivity
array-splice
/buffer/
append-prefix-left
array-copy
/buffer/
size-subarray
array-splice
/buffer/
append-a
encoding-elem-alignment
/encoding-superblock/
alignment-not-zero
align
/
is-aligned-add
nat-basic
/
ls-02