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

# buf = EB_PAGE_SIZE, # lpt = # avol, m = m3, m0 = m4, m4 < # avol, ebm-vol-inv(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], rofs) ⊦ ⟪apersistence_io_unmap#(m0, adr, m, plog, lpt, ns; avol)⟫ ((bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], rofs)) ∧ ebm-vol-inv(avol) ∧ # lpt = # avol), buffered(m4) = bleb

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
# buf = EB_PAGE_SIZE, # lpt = # avol, buffered(m4) ≠ bleb, m4 < # avol, ebm-vol-inv(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], rofs) ⊦ ⟪apersistence_io_unmap#(m4, adr, m, plog, lpt, ns; avol)⟫ ((bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], rofs)) ∧ ebm-vol-inv(avol) ∧ # lpt = # avol)

Rule argument

Additional information

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