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Theorem abs-persistWrite
⊦ p(l) = W(v, t) ' + fowl ∧ abs(h, rs, p) ∧ h[firstVolWrite(l, h)] = (W(t, l, v), false) → abs(h.take(firstVolWrite(l, h)) + (W(t, l, v), true) ' + persistDependentReads(l, h.drop(firstVolWrite(l, h) + 1)), rs, p(l := fowl))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas:
absloc-persistWrite
,
abs-leading-write-h-restricted-non-empty
,
abs-def-reduce
,
Used spec theorems:
PLIB-preds
/
first-vol-write-split
Used simplifier rules:
list
/
a
list
/
in-14
PLIB-preds
/
events-append
PLIB-preds
/
restrict-b-append
RWevent
/
sel-W-dotl
PLIB-preds
/
restrict-l-one
PLIB-preds
/
restrict-l-append
list
/
c
PLIB-preds
/
first-vol-write-size
PLIB-preds
/
restrict-l-W-other
PLIB-preds
/
restrict-b-empty
PLIB-preds
/
events-empty
PLIB-preds
/
persistDependentReads-restrict-other-loc
list
/
Nil
PLIB-preds
/
restrict-bool-one
PLIB-preds
/
events-one
PLIB-preds
/
restrict-false-false
PLIB-preds
/
restrict-l-W-same
PLIB-preds
/
take-first-vol-write-no-unpersisted-writes