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Proof step 21 from proof crash-neutral-unmap (previous step)

# avol0 = # avol, # lpt = # avol, n = m2, m2 < # avol, n < # avol, awbuf-inv(avol, bleb), synced(avol), synced(avol0), avol[n].mapped? → avol0[n] = mapped(avol[n].data.align↓), ¬ avol[n].mapped? ∧ avol0[n].mapped? → # avol0[n].data ≤ LEB_SIZE ∧ is-aligned(# avol0[n].data, EB_PAGE_SIZE) ⊦ buffered(m2) = bleb, (avol[m2, unmapped][n].mapped? → avol0[n] = mapped(avol[n].data.align↓)) ∧ (¬ avol[m2, unmapped][n].mapped? ∧ avol0[n].mapped? → # avol0[n].data ≤ LEB_SIZE ∧ is-aligned(# avol0[n].data, EB_PAGE_SIZE))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
# lpt = # avol, # avol0 = # avol, avol[m2] = mapped(buf0), avol0[m2] = mapped(buf0.align↓), LEB_SIZE < # buf0.align↓, m2 < # avol, awbuf-inv(avol, bleb), synced(avol0), synced(avol) ⊦ buffered(m2) = bleb

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ is-aligned(# buf.align↓, EB_PAGE_SIZE); (s)% ⊦ mapped(buf).data = buf; (s)% ⊦ mapped(buf).mapped?; (s)% ⊦ mapped(buf) = mapped(buf0) ↔ buf = buf0; (s)% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)% ⊦ ¬ unmapped.mapped?; (s)% ⊦ m < # avol → avol[m, aleb][m] = aleb; (s)