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Theorem inv-add-gnds
inv-journal(nx, gstore, gstore0, ginval), ri-inj(fi), ri-inj(fi0), nx ≠ [] ⊦ ⟪index_add_gnds#(gndx, fi, fi0, ginval, gstore0, nx, maxino, ginval0; ax, gstore; syn, err)⟫ inv-journal(nx, gstore, gstore0, ginval)
Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
gjournal-asm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 6
Proof steps: 31
Used lemmas:
add-gnds
,
Used spec theorems:
ablock-store-inv
/group-store/
inv-block
Used simplifier rules:
apersistence-base
/
fwd-inv-loghead
apersistence-base
/
fwd-in-gstore-loghead
set-union
/nat-set/
unc
set-union
/nat-set/
una
set-union
/nat-set/
int-c
set-union
/nat-set/
int-a
apersistence-base
/
inv-journal
nat-basic
/
f
error-class
/
not-esuccess
nat
/
lels-02
ablock
/group-store/
elim
ablock
/group-store/
upd-02
ablock
/group-store/
upd-01
apersistence-base
/
fwd-inv-gblock-rem
list-prefixn
/group-store/
prefixn-len-n
nat
/
lels-03
ablock-store-inv
/group-store/
inv-flashsize-app
nat
/
ler
list-dup
/laddress-list/
a
ablock-store-inv
/group-store/
inv-reduce
store+set
/group-store-ablock-store-nat-store/
dom-add-in
store+set
/group-store-ablock-store-nat-store/
dom-ins
store
/group-store-ablock-store-nat-store/
insins
ablock
/group-store/
updsel-28
store
/group-store-ablock-store-nat-store/
At-same
store
/group-store-ablock-store-nat-store/
insin
list-prefixn
/group-store/
prefixn-fulln
oelem
/nat-set/
irreflexivity
nat
/
le-def
nat-basic
/
c
nat-basic
/
a
ablock-store-inv
/group-store/
inv-eq-list-size
nat-basic
/
eq-01
list
/laddress-list/
len
ablock
/group-store/
sel-02
list
/group-store/
a
list
/group-store/
len
ablock
/group-store/
sel-01
list-data
/group-store/
size-01
nat
/
lez-01
list-data
/laddress-list/
l
error-class
/
esuccess
error-class
/
eio
list
/laddress-list/
app
list
/laddress-list/
a
ablock-store-inv
/group-store/
inv-nodups
list-data
/laddress-list/
size-01
nat
/
lez
list-prefixn
/group-store/
prefixn-0
ablock-store-inv
/group-store/
inv-flashsize-empty
error
/
disj-66
list-data
/group-store/
l