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Theorem unmodified-payload
⊦ iast[adr] = indexnode(brar, bv0, m) ∧ nused ≤ BRANCH_SIZE ∧ BRANCH_SIZE = # zbrar ∧ unmodified(adr, mkznode(rp, zbrar, bv1, false, nused), iast) ∧ sorted(zbrar, 0, nused) → payload(load(brar, 0, nused), 0, nused) = payload(zbrar, 0, nused)
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: 13
Proof steps: 35
Used lemmas:
payload-save-load-same
,
at-payload
,
in-payload
,
unmodified
,
Used spec theorems:
store
/node-index/
k-Extension
znode-ops
/
save-node
Used simplifier rules:
znode-ops
/
save-properties
znode
/
sel-04
oelem
/nat-set/
irreflexivity
nat-basic
/
lf-02
zbranch
/
elim-03
zbranch-array-sorted
/
sorted-eq-entry-strong
nat-basic
/
succ
znode-ops
/
load-entry
znode-ops
/
save-entry
nat-basic
/
ls-02
oelem
/nat-set/
transitivity
nat-basic
/
lf
nat
/
fle-01
nat
/
lels
nat
/
le-def
nat
/
le-ls-simp
znode-ops
/
load-size
znode-ops
/
at-load-0
nat-basic
/
c
nat-basic
/
a
nat-basic
/
add-base
constants
/
branchsize-0
nat-basic
/
lf-01
nat
/
fle
nat-basic
/
f
znode
/
sel-02
znode
/
sel-05
znode
/
sel-03
indexnode
/
inj-05
znode-ops
/
at-save-0
znode-ops
/
load-save-entry
znode-ops
/
load-save-key
zbranch
/
test-05
zbranch
/
sel-04