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Proof step 114 from proof refine-add-log-leb (previous step)

# avol0 = # avol1, # lpt0 = # avol1, # buf0 = EB_PAGE_SIZE, avol0[m5] = mapped(buf), avol0[m] = mapped(buf1), m < # avol1, m5 < # avol1, m3 < EB_PAGE_SIZE, awbuf-inv(avol1, buffered(m)), ebm-vol-inv(avol0), is-aligned(# buf1, EB_PAGE_SIZE), synced(avol1), ∀ n. n < # avol1 → (buffered(n) ≠ buffered(m) → avol1[n] = avol0[n]) ∧ (¬ false ∧ buffered(n) = buffered(m) → avol1[n] = abs⊕(avol0[n], mkwbuf(buf0, # buf1, m3))) ∧ ( false ∧ buffered(n) = buffered(m) → mkwbuf(buf0, # buf1, m3).offset = # avol0[n].data ∧ avol1[n] = abs⊕(avol0[n], mkwbuf(buf0, # buf1, m3)) ∨ mkwbuf(buf0, # buf1, m3).offset < # avol0[n].data ∧ mkwbuf(buf0, # buf1, m3).offset + mkwbuf(buf0, # buf1, m3).nbytes < # avol0[n].data ∧ avol1[n] = avol0[n] ∧ subarray(mkwbuf(buf0, # buf1, m3).content, 0, mkwbuf(buf0, # buf1, m3).nbytes) = subarray(avol0[n].data, mkwbuf(buf0, # buf1, m3).offset, mkwbuf(buf0, # buf1, m3).nbytes)) ⊦ m = m5, m3 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 115:
# avol0 = # avol1, # lpt0 = # avol1, # buf0 = EB_PAGE_SIZE, avol0[m5] = mapped(buf), avol0[m] = mapped(buf1), m < # avol1, m5 < # avol1, m3 < EB_PAGE_SIZE, awbuf-inv(avol1, buffered(m)), ebm-vol-inv(avol0), is-aligned(# buf1, EB_PAGE_SIZE), synced(avol1), ∀ n. n < # avol1 → (n ≠ m → avol1[n] = avol0[n]) ∧ (n = m → avol1[m] = mapped(buf1 + subarray(buf0, 0, m3))) ⊦ m = m5, m3 = 0

Rule argument

Additional information

Used simplifier rules: ⊦ mkwbuf(buf, m, m0).nbytes = m0; (s)% ⊦ mkwbuf(buf, m, m0).content = buf; (s)%⊦ abs⊕(mapped(buf), wbuf) = mapped(buf + subarray(wbuf.content, 0, wbuf.nbytes)); (s)% ⊦ buffered(m) = buffered(m0) ↔ m = m0; (s)