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Theorem frag-DoIns

# sl = # al + 2, SetInv(sl.head.gstate, sl.head.lsf, sl.head.pcf), frag*(IOAut(setInit, setStep, setExt))(sl, al + ADoInsert(tid, b) ') ⊦ (∃ n. n < # al ∧ al[n] = AInvInsert(tid, sl.last.lsf(tid).le) ∧ sl[n].pcf(tid) = idle ∧ (∀ m. n < m ∧ m < # al → al[m] ≠ τ ∧ al[m].tid ≠ tid)) ∨ sl.last.lsf(tid).le = sl.head.lsf(tid).le ∧ sl.head.pcf(tid) = invInsert ∧ (∀ m. m < # al → al[m] ≠ τ ∧ al[m].tid ≠ tid)

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