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Proof step 4 from proof inv-write-buf (previous step)

# 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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
# wbuf.content = EB_PAGE_SIZE, # lpt = # avol, avol[m] = mapped(buf0), 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, buffered(m), 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)

Rule argument

Additional information

Used simplifier rules: lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ nobuffer ≠ buffered(m); (s)