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Theorem rely-APersist

⊦ (allReadsOK(gs.h) ∧ allWritesOK(gs.h) ∧ gs.vm = ∅ ⊕ gs.h ∧ gs.pm = ∅ ⊕ (gs.h | true)) ∧ firstVolWrite(l, gs.h) < # gs.h ∧ gs0 = (gs.pm:= gs.pm(l := gs.h[firstVolWrite(l, gs.h)]._1.v)) .h:= ( gs.h.take(firstVolWrite(l, gs.h)) + ((gs.h[firstVolWrite(l, gs.h)]._1, true) + persistDependentReads(l, gs.h.drop(firstVolWrite(l, gs.h) + 1)))) → (∀ t0. rely(t0, gs.h, gs0.h))

Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by: PLIBInv-thm, other-PLIBLInv, rely-PLIBLInv, stable-PLIBLInv, step-PLIBLInv,
Used by units in proved state:
Proof exists?: Yes

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Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 12
Used lemmas:
Used spec theorems:
- Used simplifier rules: