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Proof step 3 from proof inv-commit (previous step)

# lpt = # avol, # lpt0 = # avol, # wbuf.content = EB_PAGE_SIZE, ebm-vol-inv(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(wbuf, 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(wbuf, avol[bleb.leb], rofs)) ∧ # lpt = # avol)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
# buf = EB_PAGE_SIZE, # lpt0 = # avol, # lpt = # avol, wbuf = mkwbuf(buf, m1, m2), ebm-vol-inv(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(wbuf, 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(wbuf, avol[bleb.leb], rofs)) ∧ # lpt = # avol)

Rule argument

spec: wbuf name: elim seq: ⊦ (buf = wbuf.content ∧ m = wbuf.offset) ∧ m0 = wbuf.nbytes ↔ wbuf = mkwbuf(buf, m, m0) subst: [wbuf, buf, m, m0] → [wbuf, buf, m1, m2]

Additional information

Used simplifier rules: ⊦ (buf = wbuf.content ∧ m = wbuf.offset) ∧ m0 = wbuf.nbytes ↔ wbuf = mkwbuf(buf, m, m0); (elim) Used terms: wbuf, buf, m1, m2