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Theorem prepost-encode-padding
buf0 = buf, is-aligned(# buf, 2 * NODE_HEADER_SIZE), # buf ≥ 2 * NODE_HEADER_SIZE ⊦ ⟪persistence_encode_padding_node#(; buf; err)⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ # buf = # buf0 ∧ (err = ESUCCESS → abs-padding(buf)))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
inv-sync
,
Used by units in proved state:
persistence-refine
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 10
Proof steps: 32
Used lemmas:
encode-padding-node
,
Used spec theorems:
encoding-fixed-size-nonempty
/encoding-node-header/
encode-contract
abs-node
/encoding-index-node/
abs-padding
array
/buffer/
Extension
array-splice
/buffer/
append-at
Used simplifier rules:
align
/
is-aligned-le-eq-zero
array-copy
/buffer/
subarray-zero
nat
/
lels-02
nat-basic
/
lf
nat-basic
/
lf-02
oelem
/nat-set/
transitivity
nat-basic
/
ls-02
nat-mult
/
ls-08
nat
/
ler
nat
/
le
nat
/
le-ls-simp
align
/
is-aligned-add
align
/
is-aligned-same
nat-mult
/
numeral-19
encoding-fixed-size-nonempty
/encoding-node-header/
is-encoded-unique
array-copy
/buffer/
at-copy
array-copy
/buffer/
size-copy
array-splice
/buffer/
append-a
array-splice
/buffer/
append-len
nat-basic
/
add-base
nat-mult
/
ls-01
abs-node
/encoding-index-node/
lfw-is-encoded-nodeheader-size
nat
/
fle
oelem
/nat-set/
irreflexivity
nat-mult
/
two-02
nat
/
ls-01
node-header-size
/
node-header-size-add-eq-0
nat-mult
/
numeral-30
nat-basic
/
l-01
array-copy
/buffer/
subarray-at
nat
/
elim-sub
node-header-size
/
node-header-size-ls-2-node-header-size
nat
/
fle-01
nat-basic
/
f
nat-mult
/
one
nat-mult
/
numeral-36
nat-basic
/
lf-01
nat
/
lep
nat
/
lep-02
array-copy
/buffer/
size-subarray
nat-basic
/
l-02
nat-basic
/
a
nat-basic
/
c
nat
/
eq-01
node-header-size
/
validtrailer-size
nat-basic
/
l
nat
/
lels
nat
/
ls-le-simp
array-copy
/buffer/
subarray-elim
abs-node
/encoding-index-node/
buf-size-zero
align
/
is-aligned-ls-eq-zero
nat-mult
/
mult-c
nat-mult
/
mult-a
node-header-size
/
nodeheader-notzero
nat-mult
/
two-zero-01
nat
/
le-def
nat
/
ge