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Proof step 3 from proof refine-add-log-leb (previous step)

# wbuf.content = EB_PAGE_SIZE, # lpt0 = # avol, # avol0 = # avol, avol[m] = mapped(buf), bleb0 = bleb, plog = plog0, m < # avol, abs(avol, bleb, wbuf, avol0, rofs), awbuf-inv(avol, bleb), ebm-vol-inv(avol0), synced(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(wbuf, avol0[bleb.leb], rofs) ⊦ ⟪wbuf_add_log_leb#(m, # avol[m].data, rofs, adr0, m2, avol0, lpt0, ns0; bleb, wbuf, plog0; err)⟫ ⟨awbuf_add_log_leb#(m, # avol[m].data, adr0, m2, avol, lpt0, ns0, rofs; plog, bleb0; err0)⟩ (abs(avol, bleb, wbuf, avol0, rofs) ∧ bleb0 = bleb ∧ plog = plog0 ∧ err = err0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
# avol0 = # avol, # lpt0 = # avol, # buf0 = EB_PAGE_SIZE, avol[m] = mapped(buf), bleb0 = bleb, plog = plog0, wbuf = mkwbuf(buf0, m0, m1), m < # avol, abs(avol, bleb, wbuf, avol0, rofs), awbuf-inv(avol, bleb), ebm-vol-inv(avol0), synced(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(wbuf, avol0[bleb.leb], rofs) ⊦ ⟪wbuf_add_log_leb#(m, # avol[m].data, rofs, adr0, m2, avol0, lpt0, ns0; bleb, wbuf, plog0; err)⟫ ⟨awbuf_add_log_leb#(m, # avol[m].data, adr0, m2, avol, lpt0, ns0, rofs; plog, bleb0; err0)⟩ (abs(avol, bleb, wbuf, avol0, rofs) ∧ bleb0 = bleb ∧ plog = plog0 ∧ err = err0)

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, m, m0]

Additional information

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