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Proof step 31 from proof inv-commit (previous step)

# mkwbuf(buf, m1, m2).content = EB_PAGE_SIZE, # lpt = # avol, # lpt0 = # avol, # buf = EB_PAGE_SIZE, avol[m] = mapped(buf0), mapped(buf0).mapped?, mkwbuf(buf, m1, m2).nbytes < # mkwbuf(buf, m1, m2).content, m < # avol, ebm-vol-inv(avol), is-aligned(mkwbuf(buf, m1, m2).offset, EB_PAGE_SIZE), ⌊err0⌋ , ¬ rofs → # mapped(buf0).data = mkwbuf(buf, m1, m2).offset, rofs → mkwbuf(buf, m1, m2).offset ≤ # mapped(buf0).data ⊦ wbuf-cons(mkwbuf(buf, m1, m2), mapped(buf0), true)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 32:
# lpt = # avol, # lpt0 = # avol, # buf = EB_PAGE_SIZE, avol[m] = mapped(buf0), m2 < EB_PAGE_SIZE, m < # avol, ebm-vol-inv(avol), is-aligned(m1, EB_PAGE_SIZE), ⌊err0⌋ , ¬ rofs → # buf0 = m1, rofs → m1 ≤ # buf0 ⊦ wbuf-cons(mkwbuf(buf, m1, m2), mapped(buf0), true)

Rule argument

Additional information

Used simplifier rules: ⊦ EB_PAGE_SIZE ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ mapped(buf).data = buf; (s)% ⊦ mapped(buf).mapped?; (s)% ⊦ mkwbuf(buf, m, m0).nbytes = m0; (s)% ⊦ mkwbuf(buf, m, m0).offset = m; (s)% ⊦ mkwbuf(buf, m, m0).content = buf; (s)