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Proof step 2 from proof inv-unmap (previous step)

# lpt = # avol, m < # avol, ebm-vol-inv(avol), wbuf-cons(bleb, wbuf, avol, rofs) ⊦ ⟪wbuf_unmap#(m, bleb, adr, m0, plog, lpt, ns; avol)⟫ (wbuf-cons(bleb, wbuf, avol, rofs) ∧ ebm-vol-inv(avol) ∧ # lpt = # avol), buffered(m) = bleb

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
# wbuf.content = EB_PAGE_SIZE, # lpt = # avol, buffered(m) ≠ bleb, m < # avol, ebm-vol-inv(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(wbuf, avol[bleb.leb], rofs) ⊦ ⟪wbuf_unmap#(m, bleb, adr, m0, plog, lpt, ns; avol)⟫ ((bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(wbuf, avol[bleb.leb], rofs)) ∧ ebm-vol-inv(avol) ∧ # lpt = # avol)

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%⊦ wbuf-cons(bleb, wbuf, avol, rofs) ↔ # wbuf.content = EB_PAGE_SIZE ∧ ( bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(wbuf, avol[bleb.leb], rofs)); (s)