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Proof step 40 from proof inv-read-ind (previous step)

# lpt = # avol, # lpt0 = # avol, avol[m0] = mapped(buf), adr = adr1, adr0 = @(m0, m1, m2), log = log0, m0 < # avol, abs-node(subarray(buf, m1, m2), ind), awbuf-inv(avol, bleb), buf-ro-rw-mode(isbuf, bleb, lpt0, avol), bufs-log-only(bleb, log0, lpt0), lpt-free-unref(lpt), lpt-leb-size(lpt), lpt-ram-flash(lpt0, lpt, log0), m1 + m2 ≤ # buf, adr0.lnum < # avol → adr0.lnum < # avol ∧ ( avol[adr0.lnum].mapped? → (avol[adr0.lnum].mapped? ∧ adr0.lnum < # avol) ∧ ( adr0.pos + adr0.size ≤ # avol[adr0.lnum].data → (∀ ind. adr0.pos + adr0.size ≤ # avol[adr0.lnum].data ∧ avol[adr0.lnum].mapped? ∧ adr0.lnum < # avol))) ⊦ adr0.lnum < # avol ∧ avol[adr0.lnum].mapped? ∧ adr0.pos + adr0.size ≤ # avol[adr0.lnum].data ∧ (∃ ind. abs-node(subarray(avol[adr0.lnum].data, adr0.pos, adr0.size), ind))

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ abs-node(buf, ind) → (abs-node(buf, ind0) ↔ ind = ind0); (s)% ⊦ mapped(buf).data = buf; (s)% ⊦ mapped(buf).mapped?; (s)% ⊦ @(m, m0, m1).size = m1; (s)% ⊦ @(m, m0, m1).pos = m0; (s)% ⊦ @(m, m0, m1).lnum = m; (s)