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Proof step 3 from proof inv-write-buf (previous step)

# lpt = # avol, # wbuf.content = EB_PAGE_SIZE, avol[bleb.leb] = mapped(buf0), bleb ≠ nobuffer, bleb.leb < # avol, ebm-vol-inv(avol), wbuf-cons(wbuf, mapped(buf0), rofs), ¬ rofs → wbuf.offset + wbuf.nbytes + n ≤ LEB_SIZE ∧ n ≤ # buf ⊦ ⟪wbuf_write_buf#(n, buf, bleb, EB_PAGE_SIZE, adr, m0, plog, lpt, ns; wbuf, rofs, avol; err)⟫ ( # wbuf.content = EB_PAGE_SIZE ∧ bleb.leb < # avol ∧ wbuf-cons(wbuf, avol[bleb.leb], rofs) ∧ ebm-vol-inv(avol) ∧ # lpt = # avol)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
# wbuf.content = EB_PAGE_SIZE, # lpt = # avol, avol[m] = mapped(buf0), bleb = buffered(m), m < # avol, ebm-vol-inv(avol), wbuf-cons(wbuf, mapped(buf0), rofs), ¬ rofs → wbuf.offset + wbuf.nbytes + n ≤ LEB_SIZE ∧ n ≤ # buf ⊦ ⟪wbuf_write_buf#(n, buf, bleb, EB_PAGE_SIZE, adr, m0, plog, lpt, ns; wbuf, rofs, avol; err)⟫ (# wbuf.content = EB_PAGE_SIZE ∧ m < # avol ∧ wbuf-cons(wbuf, avol[m], rofs) ∧ ebm-vol-inv(avol) ∧ # lpt = # avol), bleb = nobuffer

Rule argument

spec: bufleb name: elim seq: ⊦ bleb ≠ nobuffer → (m = bleb.leb ↔ bleb = buffered(m)) subst: [bleb, m] → [bleb, m]

Additional information

Used simplifier rules: ⊦ bleb ≠ nobuffer → (m = bleb.leb ↔ bleb = buffered(m)); (elim) Used terms: bleb, m