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Theorem step-APersist

⊦ (allReadsOK(gs.h) ∧ allWritesOK(gs.h) ∧ gs.vm = ∅ ⊕ gs.h ∧ gs.pm = ∅ ⊕ (gs.h | true)) ∧ PLIBLInv(gs, lsf(t), pcf(t)) ∧ 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)))) → allReadsOK(gs0.h) ∧ allWritesOK(gs0.h) ∧ gs0.vm = ∅ ⊕ gs0.h ∧ gs0.pm = ∅ ⊕ (gs0.h | true)

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