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Proof step 3 from proof refine-remap (previous step)

# wbuf.content = EB_PAGE_SIZE, # lpt0 = # avol, # avol0 = # avol, buffered(m) ≠ bleb0, m < # avol, abs(avol, bleb0, wbuf, avol0, rofs), awbuf-inv(avol, bleb0), ebm-vol-inv(avol0), synced(avol), bleb0 ≠ nobuffer → bleb0.leb < # avol ∧ wbuf-cons(wbuf, avol0[bleb0.leb], rofs) ⊦ ⟪wbuf_remap#(m, bleb0, adr0, m1, plog0, lpt0, ns0; avol0; err)⟫ ⟨awbuf_remap#(m, adr0, m1, plog0, lpt0, ns0, bleb0, rofs; avol; err0)⟩ (abs(avol, bleb0, wbuf, avol0, rofs) ∧ err = err0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

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

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, m0, m1]

Additional information

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