| # avol = # avol0, avol[n] = mapped(buf), avol0[n] = unmapped, wbuf = mkwbuf(buf0, m, m0), n < # avol0, ∀ n. n < # avol0 → (buffered(n) ≠ bleb → avol[n] = avol0[n]) ∧ (¬ rofs ∧ buffered(n) = bleb → avol[n] = abs⊕(avol0[n], wbuf)) ∧ ( rofs ∧ buffered(n) = bleb → m = # avol0[n].data ∧ avol[n] = abs⊕(avol0[n], wbuf) ∨ m < # avol0[n].data ∧ m + m0 < # avol0[n].data ∧ avol[n] = avol0[n] ∧ subarray(buf0, 0, m0) = subarray(avol0[n].data, m, m0)) ⊦ |
# avol = # avol0, avol0[n] = unmapped, avol[n] = mapped(buf), n < # avol0, ∀ n0. n0 < # avol0 → (buffered(n0) ≠ bleb → avol[n0] = avol0[n0]) ∧ (¬ rofs ∧ buffered(n0) = bleb → avol[n0] = abs⊕(avol0[n0], mkwbuf(buf0, m, m0))) ∧ ( rofs ∧ buffered(n0) = bleb → m = # avol0[n0].data ∧ avol[n0] = abs⊕(avol0[n0], mkwbuf(buf0, # avol0[n0].data, m0)) ∨ m < # avol0[n0].data ∧ m + m0 < # avol0[n0].data ∧ avol[n0] = avol0[n0] ∧ subarray(buf0, 0, m0) = subarray(avol0[n0].data, m, m0)) ⊦