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

# lpt0 = # avol, # wbuf.content = EB_PAGE_SIZE, ebm-vol-inv(avol), avol ⊆ avol0, bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(wbuf, avol[bleb.leb], rofs) ⊦ ⟪wbuf_recover#(; adr1, m2, ns1, log, lpt1, wbuf0, m3, adr, m, plog, avol0, lpt0, ns, bleb0, rofs0; err)⟫ ( err = ESUCCESS → # wbuf0.content = EB_PAGE_SIZE ∧ (bleb0 ≠ nobuffer → bleb0.leb < # avol0 ∧ wbuf-cons(wbuf0, avol0[bleb0.leb], rofs0)) ∧ m3 = EB_PAGE_SIZE ∧ ebm-vol-inv(avol0) ∧ # lpt0 = # avol0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
# buf = EB_PAGE_SIZE, # lpt0 = # avol, wbuf = mkwbuf(buf, m0, m1), ebm-vol-inv(avol), avol ⊆ avol0, bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(wbuf, avol[bleb.leb], rofs) ⊦ ⟪wbuf_recover#(; adr1, m2, ns1, log, lpt1, wbuf0, m3, adr, m, plog, avol0, lpt0, ns, bleb0, rofs0; err)⟫ ( err = ESUCCESS → # wbuf0.content = EB_PAGE_SIZE ∧ (bleb0 ≠ nobuffer → bleb0.leb < # avol0 ∧ wbuf-cons(wbuf0, avol0[bleb0.leb], rofs0)) ∧ m3 = EB_PAGE_SIZE ∧ ebm-vol-inv(avol0) ∧ # lpt0 = # avol0)

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