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Proof step 39 from proof recovery (previous step)

# avol0 = # avol2, # avol1 = # avol2, # lpt1 = # avol2, # buf = EB_PAGE_SIZE, mapped(buf0) = avol2[n], mapped(buf1) = avol0[n], n < # avol2, awbuf-inv(avol2, bleb0), ebm-vol-inv(avol0), bleb0 ≠ nobuffer → bleb0.leb < # avol2 ∧ wbuf-cons(mkwbuf(buf, m2, m3), avol0[bleb0.leb], rofs0), avol0[n].mapped? → avol1[n] = avol0[n], avol0[n] = unmapped ∧ avol1[n].mapped? → # avol1[n].data ≤ LEB_SIZE ∧ is-aligned(# avol1[n].data, EB_PAGE_SIZE), buffered(n) ≠ bleb0 → mapped(buf0) = avol0[n], ¬ rofs0 ∧ buffered(n) = bleb0 → mapped(buf0) = abs⊕(avol0[n], mkwbuf(buf, m2, m3)), rofs0 ∧ buffered(n) = bleb0 → m2 = # avol0[n].data ∧ mapped(buf0) = abs⊕(avol0[n], mkwbuf(buf, # avol0[n].data, m3)) ∨ m2 < # avol0[n].data ∧ m2 + m3 < # avol0[n].data ∧ mapped(buf0) = avol0[n] ∧ subarray(buf, 0, m3) = subarray(avol0[n].data, m2, m3) ⊦ avol1[n] = mapped(buf0.align↓)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 40:
# buf = EB_PAGE_SIZE, # lpt1 = # avol2, # avol1 = # avol2, # avol0 = # avol2, avol1[n] = mapped(buf1), mapped(buf1) = avol0[n], mapped(buf0) = avol2[n], n < # avol2, awbuf-inv(avol2, bleb0), ebm-vol-inv(avol0), rofs0 ∧ buffered(n) = bleb0 → m2 = # buf1 ∧ buf0 = buf1 + subarray(buf, 0, m3) ∨ m2 < # buf1 ∧ m2 + m3 < # buf1 ∧ buf0 = buf1 ∧ subarray(buf, 0, m3) = subarray(buf1, m2, m3), ¬ rofs0 ∧ buffered(n) = bleb0 → buf0 = buf1 + subarray(buf, 0, m3), buffered(n) ≠ bleb0 → buf0 = buf1, bleb0 ≠ nobuffer → bleb0.leb < # avol2 ∧ wbuf-cons(mkwbuf(buf, m2, m3), avol0[bleb0.leb], rofs0) ⊦ buf1 = buf0.align↓

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf).data = buf; (s)% ⊦ mkwbuf(buf, m, m0).nbytes = m0; (s)% ⊦ mkwbuf(buf, m, m0).content = buf; (s)%⊦ abs⊕(mapped(buf), wbuf) = mapped(buf + subarray(wbuf.content, 0, wbuf.nbytes)); (s)% ⊦ mapped(buf) = mapped(buf0) ↔ buf = buf0; (s)% ⊦ unmapped ≠ mapped(buf); (s)% ⊦ mapped(buf).mapped?; (s)