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Proof step 27 from proof refine-unmap (previous step)

# avol0 = # avol1, # lpt0 = # avol1, # buf = EB_PAGE_SIZE, avol0[m] = mapped(buf0), m < # avol1, m4 < # avol1, n < # avol1, awbuf-inv(avol1, buffered(m)), ebm-vol-inv(avol0), synced(avol1), wbuf-cons(mkwbuf(buf, m3, m2), mapped(buf0), rofs), ∀ n. n < # avol1 → (buffered(n) ≠ buffered(m) → avol1[n] = avol0[n]) ∧ (¬ rofs ∧ buffered(n) = buffered(m) → avol1[n] = abs⊕(avol0[n], mkwbuf(buf, m3, m2))) ∧ ( rofs ∧ buffered(n) = buffered(m) → mkwbuf(buf, m3, m2).offset = # avol0[n].data ∧ avol1[n] = abs⊕(avol0[n], mkwbuf(buf, m3, m2)) ∨ mkwbuf(buf, m3, m2).offset < # avol0[n].data ∧ mkwbuf(buf, m3, m2).offset + mkwbuf(buf, m3, m2).nbytes < # avol0[n].data ∧ avol1[n] = avol0[n] ∧ subarray(mkwbuf(buf, m3, m2).content, 0, mkwbuf(buf, m3, m2).nbytes) = subarray(avol0[n].data, mkwbuf(buf, m3, m2).offset, mkwbuf(buf, m3, m2).nbytes)) ⊦ m4 = m, n = m4, (n ≠ m → avol1[n] = avol0[n]) ∧ (¬ rofs ∧ n = m → avol1[m] = mapped(buf0 + subarray(buf, 0, m2))) ∧ ( rofs ∧ n = m → m3 = # buf0 ∧ avol1[m] = mapped(buf0 + subarray(buf, 0, m2)) ∨ m3 < # buf0 ∧ m3 + m2 < # buf0 ∧ avol1[m] = mapped(buf0) ∧ subarray(buf, 0, m2) = subarray(buf0, m3, m2))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 28:
# avol0 = # avol1, # lpt0 = # avol1, # buf = EB_PAGE_SIZE, avol0[m] = mapped(buf0), m < # avol1, m4 < # avol1, n < # avol1, awbuf-inv(avol1, buffered(m)), ebm-vol-inv(avol0), synced(avol1), wbuf-cons(mkwbuf(buf, m3, m2), mapped(buf0), rofs), ∀ n0. n0 < # avol1 → (n0 ≠ m → avol1[n0] = avol0[n0]) ∧ (¬ rofs ∧ n0 = m → avol1[m] = mapped(buf0 + subarray(buf, 0, m2))) ∧ ( rofs ∧ n0 = m → m3 = # buf0 ∧ avol1[m] = mapped(buf0 + subarray(buf, 0, m2)) ∨ m3 < # buf0 ∧ m3 + m2 < # buf0 ∧ avol1[m] = mapped(buf0) ∧ subarray(buf, 0, m2) = subarray(buf0, m3, m2)) ⊦ m4 = m, n = m4, (n ≠ m → avol1[n] = avol0[n]) ∧ (¬ rofs ∧ n = m → avol1[m] = mapped(buf0 + subarray(buf, 0, m2))) ∧ ( rofs ∧ n = m → m3 = # buf0 ∧ avol1[m] = mapped(buf0 + subarray(buf, 0, m2)) ∨ m3 < # buf0 ∧ m3 + m2 < # buf0 ∧ avol1[m] = mapped(buf0) ∧ subarray(buf, 0, m2) = subarray(buf0, m3, m2))

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf).data = buf; (s)%⊦ abs⊕(mapped(buf), wbuf) = mapped(buf + subarray(wbuf.content, 0, wbuf.nbytes)); (s)% ⊦ mkwbuf(buf, m, m0).content = buf; (s)% ⊦ mkwbuf(buf, m, m0).nbytes = m0; (s)% ⊦ mkwbuf(buf, m, m0).offset = m; (s)% ⊦ buffered(m) = buffered(m0) ↔ m = m0; (s)