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Theorem prepost-encode-group-nodes
⊦ ⟪persistence_encode_group_nodes#(gndx, n, n0; ; buf, ax, err)⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → (∃ lax. lax.to-adr(n) = ax ∧ # buf = gndx.flashsize ∧ abs-nodes(buf, n0, gndx, lax, false))))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
inv-add-gnds
,
Used by units in proved state:
persistence-refine
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 11
Proof steps: 42
Used lemmas:
encode-group-nodes
,
Used spec theorems:
abs-node
/encoding-group-node/
encode-node
list-del
/group-store/
get-append-grt
nat-basic
/
c
array-splice
/buffer/
array-split-elim-size
Used simplifier rules:
nat
/
anti
nat-basic
/
eq-02
ablock-store-inv
/group-store/
to-adrs-eq
ablock-store-inv
/group-store/
size-base
list
/group-store/
app
abs-list
/encoding-group-node/
abs-nodes-append-empty-h
abs-list
/encoding-group-node/
abs-nodes-mkbuf0-empty-h
nat
/
lez
ablock-store-inv
/group-store/
to-adrs-eq-empty
array-splice
/buffer/
append-left-size0
list
/group-store/
Nil
nat-basic
/
l-01
abs-list
/encoding-group-node/
abs-nodes-elems-adr-length-h
nat
/
ls
list
/address-list-set/
Last
array
/buffer/
Size-mkarray
nat
/
lels-03
nat
/
sub-add
nat
/
fle
node-header-size
/
2-node-header-size-add-eq-0
nat-mult
/
mult-a
nat-mult
/
mult-c
nat
/
le-ls-simp
nat
/
fle-01
nat
/
elim-sub
nat
/
not-zero
nat-basic
/
s-04
nat
/
ls-01
nat-basic
/
one-01
nat
/
cancel-01
list
/address-list-set/
a
list
/laddress-list/
Last
ablock-store-inv
/group-store/
to-adrs-eq-app
list-del
/group-store/
get-append-less
list-data
/group-store/
l
array-copy
/buffer/
subarray-elim
list-data
/laddress-list/
l
nat-basic
/
ls-02
list-del
/group-store/
get-zero
nat
/
lels
list-data
/group-store/
elim-list-c
nat-basic
/
oz
nat-basic
/
succ
list
/group-store/
len-05
list
/group-store/
e-01
ablock-store-inv
/group-store/
size-rec
list
/group-store/
c
ablock-store-inv
/group-store/
size-one
ablock-store-inv
/group-store/
size-append
list
/group-store/
len-02
list
/group-store/
len
nat
/
zero
nat
/
eq-01
nat-basic
/
l-02
abs-node
/encoding-index-node/
buf-size-zero
nat
/
ler
array-splice
/buffer/
subarray-append-elim-left
oelem
/nat-set/
irreflexivity
nat-basic
/
l
nat-basic
/
lf-01
nat-basic
/
lf-02
nat-basic
/
f
nat
/
le-def
nat
/
lep-02
nat
/
lep
array-copy
/buffer/
size-subarray
array-splice
/buffer/
subarray-append-left
array-splice
/buffer/
subarray-append-elim
array-splice
/buffer/
append-a
array-splice
/buffer/
append-len
abs-list
/encoding-group-node/
abs-nodes-append-h
abs-list
/encoding-group-node/
abs-nodes-one-abs-node
encoding-node-base
/encoding-group-node/
node-flash-size
laddress
/
inj
nat-basic
/
eq-01
nat-basic
/
a
nat-basic
/
c
list
/laddress-list/
a
list
/group-store/
a