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Theorem nodes-write-same-flushed
⊦ gstore[m] = groupblock(gndx, lax, n0) ∧ m ∈ gstore ∧ n0 ≤ m0 ∧ valid-group-nodes(gndx) ≤ n0 → nodes(gstore ↓[m, groupblock(gndx, lax, m0) ↓], ginval) = nodes(gstore ↓, ginval)
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 29
Used lemmas:
nodes-write-at-other
,
down-store-adr-in-explicit
,
down-store-write-same
,
valid-group-nodes-entire
,
nodes-gstore-at
,
down-store-at
,
down-store-in
,
nodes-gstore-in
,
down-block-explicit
,
Used spec theorems:
store
/node-store/
k-Extension
store
/group-store-ablock-store-nat-store/
In-insert
ablock-store-inv
/group-store/
in
ablock-store-inv
/group-store/
at
Used simplifier rules:
nat
/
let
address-data
/
elim
ablock
/group-store/
elim
store
/group-store-ablock-store-nat-store/
notmemlookup
store
/group-store-ablock-store-nat-store/
At-other
ablock
/group-store/
inj
groupnode
/
elim
store
/node-store/
notmemlookup
nat
/
le-def
list-prefixn
/laddress-list/
prefixn-fulln
store
/group-store-ablock-store-nat-store/
At-same
address-data
/
sel-03
address-data
/
sel-04
address-data
/
sel-05
ablock
/group-store/
sel-01
ablock
/group-store/
sel-02
list-prefixn
/laddress-list/
in-prefixn-samepos
groupnode
/
inj
list-prefixn
/group-store/
prefixn-fulln