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Theorem range-load-save
⊦ n < nused ∧ nused ≤ # zbrar ∧ # zbrar = BRANCH_SIZE → key-range(load(save(zbrar, 0, nused), 0, nused), n, nused, ri) = key-range(zbrar, n, nused, ri)
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: 2
Proof steps: 5
Used lemmas:
range
,
Used spec theorems:
Used simplifier rules:
constants
/
branchsize-0
nat-basic
/
lf-01
znode-ops
/
load-size
nat-basic
/
ls-02
nat-basic
/
s-04
nat
/
succ-01
nat-basic
/
l-01
nat-basic
/
c
nat-basic
/
a
nat
/
ls-01
nat-basic
/
one-01
znode-ops
/
load-save-key
znode-ops
/
at-save-0
znode-ops
/
at-load-0
nat-basic
/
f
nat-basic
/
zero
nat
/
le-def
nat-basic
/
lf-02
nat
/
fle
nat-basic
/
lf
oelem
/nat-set/
transitivity
nat
/
fle-01
oelem
/nat-set/
irreflexivity