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Proof step 7 from proof refine-unmap (previous step)

# buf = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, adr = adr0, avol = avol0, bleb = bleb0, 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) ⊦ ⟪apersistence_io_unmap#(m0, adr, m, plog, lpt, ns; avol)⟫ ⟨awbuf_unmap#(m4, adr0, m1, plog0, lpt0, ns0, bleb0, rofs; avol1)⟩ abs(avol1, bleb0, mkwbuf(buf, m3, m2), avol, rofs), buffered(m4) = bleb0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
# buf = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, buffered(m4) ≠ bleb0, 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) ⊦ ⟪apersistence_io_unmap#(m4, adr0, m1, plog0, lpt0, ns0; avol0)⟫ ⟨awbuf_unmap#(m4, adr0, m1, plog0, lpt0, ns0, bleb0, rofs; avol1)⟩ abs(avol1, bleb0, mkwbuf(buf, m3, m2), avol0, rofs)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic