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Proof step 12 from proof inv-write-unbuf (previous step)

n < # avol, bleb ≠ nobuffer → bleb.leb < # avol ∧ avol[bleb.leb].mapped?, (avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ is-aligned(# avol[n].data, EB_PAGE_SIZE)) → # buf ≤ LEB_SIZE ∧ is-aligned(# buf, EB_PAGE_SIZE), ∀ n. n < # avol ∧ avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ (buffered(n) ≠ bleb → is-aligned(# avol[n].data, EB_PAGE_SIZE)) ⊦ bleb = buffered(n), bleb = nobuffer, bleb.leb < # avol ∧ avol[n, mapped(buf)][bleb.leb].mapped?

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
avol[bleb.leb] = mapped(buf0), avol[n, mapped(buf)][bleb.leb] = unmapped, n < # avol, bleb.leb < # avol, (avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ is-aligned(# avol[n].data, EB_PAGE_SIZE)) → # buf ≤ LEB_SIZE ∧ is-aligned(# buf, EB_PAGE_SIZE), ∀ n. n < # avol ∧ avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ (buffered(n) ≠ bleb → is-aligned(# avol[n].data, EB_PAGE_SIZE)) ⊦ bleb = nobuffer, bleb = buffered(n)

Rule argument

Additional information

Used simplifier rules: ⊦ aleb.mapped? ↔ aleb ≠ unmapped; (ss)% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)