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Theorem abs-firstPersistW-is-in-hist
⊦ abs(h, rs, p) ∧ firstPersistW(p(l)) < # p(l) → (h |W | l) | false ≠ []
Type: A user defined theorem
Validity: The proof is valid.
Features: as, las,
Comment:
Used by:
abs-firstPersistW-in-p-when-firstVolWrite-in-h
,
abs-persist-firstPersistW
,
Used by units in proved state:
FLITPSCweak-refines-PLIB
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 25
Used lemmas:
absloc-recR
,
absloc-base
,
abs-def
,
Used spec theorems:
Used simplifier rules:
list-data
/
l
nat-basic
/
f
PLIB-preds
/
restrict-W-empty
PLIB-preds
/
restrict-l-empty
PLIB-preds
/
restrict-b-empty
PLIB-preds
/
events-empty
FLITPSCweak-preds
/
firstPersistW-lt-filter-W-empty
nat-basic
/
refl-Nat
list
/
a
PLIB-preds
/
events-append
PLIB-preds
/
restrict-b-append
PLIB-preds
/
restrict-l-one
PLIB-preds
/
restrict-l-append
list
/
c
list
/
app-02
PLIB-preds
/
restrict-write-one
PLIB-preds
/
restrict-W-append
list
/
Nil
RWevent
/
elim-W
RWevent
/
test-dotWque-W
PLIB-preds
/
restrict-bool-one
PLIB-preds
/
events-one
RWevent
/
sel-W-dotl
RWevent
/
test-dotWque-R
RWevent
/
sel-R-dotl