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Proof step 13 from proof inv-write-unbuf (previous step)

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)

Heuristic elimination applied rule insert elim lemma

And closed the goal!

Rule argument

spec: bufleb name: elim seq: ⊦ bleb ≠ nobuffer → (m = bleb.leb ↔ bleb = buffered(m)) subst: [bleb, m] → [bleb, m]

Additional information

Used simplifier rules: m ≠ n ⊦ avol[m, aleb][n] = avol[n]; (s)% ⊦ nobuffer ≠ buffered(m); (s)% ⊦ buffered(m) = buffered(m0) ↔ m = m0; (s)% ⊦ unmapped ≠ mapped(buf); (s)% ⊦ bleb ≠ nobuffer → (m = bleb.leb ↔ bleb = buffered(m)); (elim) Used terms: bleb, m