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Proof step 76 from proof refine-move-buf (previous step)

# mkwbuf(buf, m1, m3).content = EB_PAGE_SIZE, # avol0 = # avol1, # lpt0 = # avol1, # buf = EB_PAGE_SIZE, avol0[m] = mapped(buf1), avol0[m5] = mapped(buf0), mapped(buf1).mapped?, mkwbuf(buf, m1, m3).nbytes < # mkwbuf(buf, m1, m3).content, m5 < # avol1, m < # avol1, abs(avol1, buffered(m), mkwbuf(buf, m1, m3), avol0, false), awbuf-inv(avol1, buffered(m)), ebm-vol-inv(avol0), is-aligned(mkwbuf(buf, m1, m3).offset, EB_PAGE_SIZE), is-aligned(# avol1[m].data, EB_PAGE_SIZE), ¬ false → # mapped(buf1).data = mkwbuf(buf, m1, m3).offset, false → mkwbuf(buf, m1, m3).offset ≤ # mapped(buf1).data ⊦ m = m5, m3 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 77:
# avol0 = # avol1, # lpt0 = # avol1, # buf = EB_PAGE_SIZE, avol0[m] = mapped(buf1), avol0[m5] = mapped(buf0), m3 < EB_PAGE_SIZE, m5 < # avol1, m < # avol1, abs(avol1, buffered(m), mkwbuf(buf, # buf1, m3), avol0, false), awbuf-inv(avol1, buffered(m)), ebm-vol-inv(avol0), is-aligned(# buf1, EB_PAGE_SIZE), is-aligned(# avol1[m].data, EB_PAGE_SIZE) ⊦ m = m5, m3 = 0

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)