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Theorem lf-valid-recs-in-apebs
m0 ≤ # apebs ⊦ v × m ∈ recs ∧ recs[v × m] = recovery-entry(n0, n1) ∧ valid-recs(subarray(apebs, 0, m0), subarray(wlar, 0, m0), recs) → n0 < m0
Type: A user defined theorem
Validity: The proof is valid.
Features: localforward,
Comment:
Used by:
lf-valid-recs-max
,
lf-valid-recs-valid-peb
,
prepost-scan-all
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 5
Used lemmas:
Used spec theorems:
ubi-crash-recovery-base
/
valid-recs
Used simplifier rules:
nat
/
lels
array-copy
/wlarray-base/
subarray-at
nat-basic
/
c
nat-basic
/
a
nat-basic
/
add-base
array-copy
/apebs/
subarray-at
array-copy
/apebs/
size-subarray
nat
/
le-ls-simp
recovery-entry
/
sel-02