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

# buf = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, adr = adr0, avol = avol0, lpt = lpt0, m = m1, m0 = m4, ns = ns0, plog = plog0, m4 < # avol1, abs(avol1, bleb0, mkwbuf(buf, m3, m2), avol0, rofs), awbuf-inv(avol1, bleb0), ebm-vol-inv(avol0), synced(avol1), bleb0 ≠ nobuffer → bleb0.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf, m3, m2), avol0[bleb0.leb], rofs) ⊦ ⟪avol[m0] := unmapped⟫ ⟨awbuf_unmap#(m4, adr0, m1, plog0, lpt0, ns0, bleb0, rofs; avol1)⟩ abs(avol1, bleb0, mkwbuf(buf, m3, m2), avol, rofs), buffered(m4) = bleb0

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 11:
# avol0 = # avol1, # lpt0 = # avol1, # buf = EB_PAGE_SIZE, adr = adr0, avol = avol0, lpt = lpt0, m = m1, m0 = m4, ns = ns0, plog = plog0, m0 < # avol, m4 < # avol1, abs(avol1, bleb0, mkwbuf(buf, m3, m2), avol0, rofs), awbuf-inv(avol1, bleb0), ebm-vol-inv(avol0), synced(avol1), bleb0 ≠ nobuffer → bleb0.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf, m3, m2), avol0[bleb0.leb], rofs) ⊦ ⟨awbuf_unmap#(m4, adr0, m1, plog0, lpt0, ns0, bleb0, rofs; avol1)⟩ abs(avol1, bleb0, mkwbuf(buf, m3, m2), avol[m0, unmapped], rofs), buffered(m4) = bleb0

Rule argument

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat% ⊦ ¬ n < n; (s)