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Proof step 45 from proof recovery (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 46:
# buf = EB_PAGE_SIZE, # lpt1 = # avol2, # avol1 = # avol2, # avol0 = # avol2, avol1[n] = mapped(buf1), avol2[n] = mapped(buf2), mapped(buf1) = avol0[n], n < # avol2, ebm-vol-inv(avol0), wbuf-cons(mkwbuf(buf, m2, m3), mapped(buf1), rofs0), # buf2 ≤ LEB_SIZE, rofs0 → m2 = # buf1 ∧ buf2 = buf1 + subarray(buf, 0, m3) ∨ m2 < # buf1 ∧ m2 + m3 < # buf1 ∧ buf2 = buf1 ∧ subarray(buf, 0, m3) = subarray(buf1, m2, m3), ¬ rofs0 → buf2 = buf1 + subarray(buf, 0, m3) ⊦ buf1 = buf2.align↓

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf).mapped?; (s)% ⊦ mapped(buf) = mapped(buf0) ↔ buf = buf0; (s)%wbuf-cons-mapped: ⊦ wbuf-cons(wbuf, aleb, boolvar) → aleb.mapped?; (forward) from specification wbuf-base% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)% ⊦ buffered(m).leb = m; (s)% ⊦ nobuffer ≠ buffered(m); (s)