| m < # avol, avol[m].mapped?, # avol[m].data ≤ m0, is-aligned(m0, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), m0 + n ≤ LEB_SIZE, n0 + n ≤ # buf, ebm-vol-inv(avol), # lpt = # avol, adr = adr0, m1 = m2, plog = plog0, lpt0 = lpt, avol ⊆ avol0, ns = ns0 ⊦ ⟨apersistence_io_write#(m, m0, n0, n, buf, adr0, m2, plog0, lpt, ns0; avol; err)⟩ (adr = adr0 ∧ m1 = m2 ∧ plog = plog0 ∧ lpt0 = lpt ∧ avol ⊆ avol0 ∧ ns = ns0) |