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Proof step 129 from proof refine-write-buf (previous step)

# buf1 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, avol0[m4] = mapped(buf2), align↓(m2 + n3, EB_PAGE_SIZE) = n0 + m2, n2 < n0 + m2, m4 < # avol1, m2 < EB_PAGE_SIZE, abs(avol1, buffered(m4), mkwbuf(buf1, # buf2, m2), avol0, false), awbuf-inv(avol1, buffered(m4)), ebm-vol-inv(avol0), is-aligned(# buf2, EB_PAGE_SIZE), is-aligned(n0 + m2, EB_PAGE_SIZE), is-aligned(n2, EB_PAGE_SIZE), # buf2 + n0 + m2 ≤ LEB_SIZE, n0 ≤ # buf3, # buf2 + m2 + n3 ≤ LEB_SIZE, EB_PAGE_SIZE ≤ m2 + n3, n3 ≤ # buf3, # avol1[m4].data + n3 ≤ LEB_SIZE, ⌊err1⌋ ⊦ n2 ≥ m2 ∧ n2 - m2 ≠ 0 ∧ n2 - m2 < n3 ∧ is-aligned(# avol1[m4].data + (n2 - m2), EB_PAGE_SIZE) ∧ ⟨avol1[buffered(m4).leb] := mapped(avol1[buffered(m4).leb].data + subarray(buf3, 0, n2 - m2)); rofs := true⟩ ( abs (avol1, buffered(m4), mkwbuf(buf1, # buf2, m2), avol0[m4, mapped(avol0[m4].data + subarray(copy(buf3, 0, copy(buf1, 0, mkbuf(n0 + m2), 0, m2), m2, n0), 0, n2))], true) ∧ rofs), n2 = 0, n3 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 130:
# avol0 = # avol1, # lpt0 = # avol1, # buf1 = EB_PAGE_SIZE, avol0[m4] = mapped(buf2), align↓(m2 + n3, EB_PAGE_SIZE) = n0 + m2, n2 ≠ 0, n3 ≠ 0, m2 < EB_PAGE_SIZE, m4 < # avol1, n2 < n0 + m2, abs(avol1, buffered(m4), mkwbuf(buf1, # buf2, m2), avol0, false), awbuf-inv(avol1, buffered(m4)), ebm-vol-inv(avol0), is-aligned(n2, EB_PAGE_SIZE), is-aligned(n0 + m2, EB_PAGE_SIZE), is-aligned(# buf2, EB_PAGE_SIZE), # avol1[m4].data + n3 ≤ LEB_SIZE, n3 ≤ # buf3, EB_PAGE_SIZE ≤ m2 + n3, # buf2 + m2 + n3 ≤ LEB_SIZE, n0 ≤ # buf3, # buf2 + n0 + m2 ≤ LEB_SIZE, ⌊err1⌋ ⊦ m2 < n2 ∧ n2 ≠ m2 ∧ n2 < n3 + m2 ∧ is-aligned(# avol1[m4].data + (n2 - m2), EB_PAGE_SIZE) ∧ ⟨avol1[buffered(m4).leb] := mapped(avol1[buffered(m4).leb].data + subarray(buf3, 0, n2 - m2)); rofs := true⟩ ( abs (avol1, buffered(m4), mkwbuf(buf1, # buf2, m2), avol0[m4, mapped(avol0[m4].data + subarray(copy(buf3, 0, copy(buf1, 0, mkbuf(n0 + m2), 0, m2), m2, n0), 0, n2))], true) ∧ rofs)

Rule argument

Additional information

Used simplifier rules: n0 ≤ n ⊦ n - n0 < m ↔ n < m + n0; (s)% ⊦ m ≤ n → (n < m ↔ false); (s)% ⊦ n ≠ n0 → (n < n0 ↔ ¬ n0 < n); (ss)% ⊦ m ≠ n → (m ≤ n ↔ m < n); (s)% ⊦ m ≤ n → (n - m = 0 ↔ n = m); (s)% ⊦ n ≥ m ↔ m ≤ n; (s)