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Proof step 10 from proof inv-unmap (previous step)

avol[n, unmapped][bleb.leb] = unmapped, avol[bleb.leb] = mapped(buf), bleb.leb < # avol, n0 < # avol ∧ avol[n0].mapped? → # avol[n0].data ≤ LEB_SIZE ∧ is-aligned(# avol[n0].data, EB_PAGE_SIZE) ⊦ bleb = nobuffer, bleb = buffered(n), buffered(n0) = bleb, n0 = 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)% ⊦ buffered(m) = buffered(m0) ↔ m = m0; (s)% ⊦ nobuffer ≠ buffered(m); (s)% ⊦ unmapped ≠ mapped(buf); (s)% ⊦ bleb ≠ nobuffer → (m = bleb.leb ↔ bleb = buffered(m)); (elim) Used terms: bleb, m