| # avol1 = # avol0, avol1[n] = mapped(buf), n < # avol0, bleb ≠ nobuffer → bleb.leb < # avol0 ∧ avol0[bleb.leb].mapped?, ∀ n. n < # avol0 ∧ avol0[n].mapped? → # avol0[n].data ≤ LEB_SIZE ∧ (buffered(n) ≠ bleb → is-aligned(# avol0[n].data, EB_PAGE_SIZE)), ∀ n. n < # avol0 → (avol0[n].mapped? → avol1[n] = mapped(subarray(avol0[n].data, 0, align↓(# avol0[n].data, EB_PAGE_SIZE)))) ∧ (¬ avol0[n].mapped? ∧ avol1[n].mapped? → # avol1[n].data ≤ LEB_SIZE ∧ is-aligned(# avol1[n].data, EB_PAGE_SIZE)) ⊦ # buf ≤ LEB_SIZE ∧ is-aligned(# buf, EB_PAGE_SIZE) |
# avol1 = # avol0, avol1[n] = mapped(buf), n < # avol0, bleb ≠ nobuffer → bleb.leb < # avol0 ∧ avol0[bleb.leb].mapped?, ∀ n. n < # avol0 → (avol0[n].mapped? → avol1[n] = mapped(subarray(avol0[n].data, 0, align↓(# avol0[n].data, EB_PAGE_SIZE)))) ∧ (¬ avol0[n].mapped? ∧ avol1[n].mapped? → # avol1[n].data ≤ LEB_SIZE ∧ is-aligned(# avol1[n].data, EB_PAGE_SIZE)), ∀ n. n < # avol0 ∧ avol0[n].mapped? → # avol0[n].data ≤ LEB_SIZE ∧ (buffered(n) ≠ bleb → is-aligned(# avol0[n].data, EB_PAGE_SIZE)) ⊦ # buf ≤ LEB_SIZE
# avol1 = # avol0, avol1[n] = mapped(buf), n < # avol0, bleb ≠ nobuffer → bleb.leb < # avol0 ∧ avol0[bleb.leb].mapped?, ∀ n. n < # avol0 → (avol0[n].mapped? → avol1[n] = mapped(subarray(avol0[n].data, 0, align↓(# avol0[n].data, EB_PAGE_SIZE)))) ∧ (¬ avol0[n].mapped? ∧ avol1[n].mapped? → # avol1[n].data ≤ LEB_SIZE ∧ is-aligned(# avol1[n].data, EB_PAGE_SIZE)), ∀ n. n < # avol0 ∧ avol0[n].mapped? → # avol0[n].data ≤ LEB_SIZE ∧ (buffered(n) ≠ bleb → is-aligned(# avol0[n].data, EB_PAGE_SIZE)) ⊦ is-aligned(# buf, EB_PAGE_SIZE)