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Theorem abs-persist-firstPersistW

⊦ abs(h, rs, p) ∧ firstPersistW(p(l)) < # p(l) ∧ h[firstVolWrite(l, h)] = (e, bv) → abs (h.take(firstVolWrite(l, h)) + (e, true) ' + persistDependentReads(l, h.drop(firstVolWrite(l, h) + 1)), rs, p(l := p(l) -p firstPersistW(p(l))))

Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by:
Used by units in proved state: FLITPSCweak-refines-PLIB,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 7
Proof steps: 13
Used lemmas: absloc-persist-firstPersistW, abs-def, abs-firstPersistW-is-in-hist, abs-firstPersistW-firstVolWrite-correct-loc, abs-def-reduce,
Used spec theorems:
- PLIB-preds/first-vol-write-split
Used simplifier rules: