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Proof step 4 from proof awbuf-inv-crash (previous step)

# avol1 = # avol0, avol1[n] = mapped(buf), n < # avol0, bleb ≠ nobuffer → bleb.leb < # avol0 ∧ avol0[bleb.leb].mapped?, ∀ n. n < # avol0 → (avol0[n].mapped? → avol1[n] = mapped(subarray(avol0[n].data, 0, align↓(# avol0[n].data, EB_PAGE_SIZE)))) ∧ (¬ avol0[n].mapped? ∧ avol1[n].mapped? → # avol1[n].data ≤ LEB_SIZE ∧ is-aligned(# avol1[n].data, EB_PAGE_SIZE)), ∀ n. n < # avol0 ∧ avol0[n].mapped? → # avol0[n].data ≤ LEB_SIZE ∧ (buffered(n) ≠ bleb → is-aligned(# avol0[n].data, EB_PAGE_SIZE)) ⊦ # buf ≤ LEB_SIZE

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
# avol1 = # avol0, avol1[n] = mapped(buf), LEB_SIZE < # buf, n < # avol0, bleb ≠ nobuffer → bleb.leb < # avol0 ∧ avol0[bleb.leb].mapped?, ∀ n. n < # avol0 → (avol0[n].mapped? → avol1[n] = mapped(subarray(avol0[n].data, 0, align↓(# avol0[n].data, EB_PAGE_SIZE)))) ∧ (¬ avol0[n].mapped? ∧ avol1[n].mapped? → # avol1[n].data ≤ LEB_SIZE ∧ is-aligned(# avol1[n].data, EB_PAGE_SIZE)), ∀ n. n < # avol0 ∧ avol0[n].mapped? → # avol0[n].data ≤ LEB_SIZE ∧ (buffered(n) ≠ bleb → is-aligned(# avol0[n].data, EB_PAGE_SIZE)) ⊦

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)