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Proof step 5 from proof inv-commit (previous step)

# lpt = # avol, # lpt0 = # avol, # buf = EB_PAGE_SIZE, ebm-vol-inv(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], rofs) ⊦ ⟪wbuf_commit#(lpt0, adr, m, avol; ns, adr0, m0, plog, lpt, ns0, rofs; err)⟫ ((bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], rofs)) ∧ # lpt = # avol)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 6:
# buf = EB_PAGE_SIZE, # lpt0 = # avol, # lpt = # avol, adr = adr1, adr0 = adr2, m = m3, m0 = m4, ns = ns1, ns0 = ns2, ebm-vol-inv(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], rofs) ⊦ ⟪if # lpt0 = # avol then {apersistence_io_commit#(lpt0, adr0, m0, avol; ns0, adr, m, plog, lpt, ns; err); if err ≠ ESUCCESS then rofs := true} else abort⟫ ((bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], rofs)) ∧ # lpt = # avol)

Rule argument

pos: right 1

Additional information

Used simplifier rules: commit: ⊦ ;