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Theorem prepost-decode-orphans
is-encoded(orphans0, buf), n = # orphans0, # buf = # orphans0 * ENCODED_NAT_SIZE ⊦ ⟪persistence_io_decode_orphans#(n, buf; ; orphans, err)⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → orphans = orphans0))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
prepost-read-orphans
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 33
Used lemmas:
ls-del-notin
,
decode-orphans
,
Used spec theorems:
encoding
/encoding-nat/
decode-contract
array-splice
/buffer/
array-split2
encoding-orphans
/
is-encoded-rec
encoding-orphans
/
is-encoded-split-one
Used simplifier rules:
nat-mult
/
zero
nat-basic
/
add-base
array-copy
/buffer/
subarray-zero
nat
/
sub-base
nat
/
elim-pred-c
nat-basic
/
s-04
nat-basic
/
oz
nat-mult
/
mult-a
nat-mult
/
rsucc-02
nat
/
lels-02
oelem
/nat-set/
sls
nat-basic
/
l-02
encoding-fixed-size
/encoding-nat/
encoding-size
array-copy
/buffer/
size-subarray
nat
/
elim-sub
nat-basic
/
eqs
nat
/
zero
nat
/
ler
nat
/
eq-01
array-splice
/buffer/
subarray-append-elim-left
nat-basic
/
l
nat
/
fle-01
set-union
/nat-set/
int-ins
nat
/
lep
array-splice
/buffer/
subarray-append-shift-right-simp-0
nat
/
le-ls-simp
array-copy
/buffer/
subarray-elim
nat
/
fle
nat-basic
/
lf-01
nat-basic
/
lf-02
nat-basic
/
f
array-splice
/buffer/
subarray-append-left
array-splice
/buffer/
subarray-append-elim-left0-simp
nat
/
ls-le-simp
nat
/
lep-02
nat
/
le-def
nat-basic
/
eq-01
array-splice
/buffer/
append-len
set-union
/nat-set/
int-e
encoding-orphans
/
is-encoded-base
array-splice
/buffer/
append-eq-emptyar
array
/buffer/
Size-mkarray
encoding-fixed-size
/encoding-nat/
encoding-requires-space
encoding-fixed-size
/encoding-nat/
is-encoded-size
set-basic
/nat-set/
In-empty
set-union
/nat-set/
intersect-add-rem
set-basic
/nat-set/
size-zero-01
set-basic
/nat-set/
ne-01
array-splice
/buffer/
append-inj
encoding
/encoding-nat/
is-encoded-prefix
array-splice
/buffer/
append-a
encoding-orphans
/
is-encoded-unique
encoding
/encoding-nat/
is-encoded-unique
set-union
/nat-set/
int-a
set-union
/nat-set/
int-c
set-union
/nat-set/
int-empty-02
error-class
/
not-esuccess
nat-mult
/
mult-c
nat-basic
/
a
nat-basic
/
c
oelem
/nat-set/
irreflexivity