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Proof step 20 from proof crash-neutral-unmap (previous step)

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

And obtained the following new goals

Proof step 21:
# 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))

Rule argument

fma: n = m2

Additional information

Used simplifier rules: ⊦ m ≠ n → avol[n, aleb][m] = avol[m]; (s) Used formulas: n = m2