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Proof step 61 from proof inv-write-buf (previous step)

# lpt = # avol, # buf1 = EB_PAGE_SIZE, avol[m4] = mapped(buf), align↓(m2 + n3, EB_PAGE_SIZE) = n0 + m2, m3 = n1 + # buf, n < n0 + m2, m4 < # avol, n < # buf3 + m2, n < m2 + n3, ebm-vol-inv(avol), ebm-vol-inv(avol[m4, mapped(buf + mkempbuf(n1) + subarray(copy(buf3, 0, copy(buf1, 0, mkbuf(n0 + m2), 0, m2), m2, n0), 0, n))]), is-aligned(m3, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), wbuf-cons(mkwbuf(buf1, m3, m2), mapped(buf), false), n0 ≤ # buf3, m2 ≤ EB_PAGE_SIZE, m3 + n0 + m2 ≤ LEB_SIZE, # buf ≤ m3, n3 ≤ # buf3, m3 + m2 + n3 ≤ LEB_SIZE, EB_PAGE_SIZE ≤ m2 + n3, ⌊err0⌋ ⊦ n = 0, wbuf-cons(mkwbuf(buf1, m3, m2), mapped(buf + mkempbuf(n1) + subarray(copy(buf3, 0, copy(buf1, 0, mkbuf(n0 + m2), 0, m2), m2, n0), 0, n)), true)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 62:
# buf1 = EB_PAGE_SIZE, # lpt = # avol, avol[m4] = mapped(buf), align↓(m2 + n3, EB_PAGE_SIZE) = n0 + m2, n < m2 + n3, n < # buf3 + m2, m4 < # avol, n < n0 + m2, ebm-vol-inv(avol[m4, mapped(buf + mkempbuf(n1) + subarray(copy(buf3, 0, copy(buf1, 0, mkbuf(n0 + m2), 0, m2), m2, n0), 0, n))]), ebm-vol-inv(avol), is-aligned(n, EB_PAGE_SIZE), is-aligned(n1 + # buf, EB_PAGE_SIZE), wbuf-cons(mkwbuf(buf1, n1 + # buf, m2), mapped(buf), false), EB_PAGE_SIZE ≤ m2 + n3, (n1 + # buf) + m2 + n3 ≤ LEB_SIZE, n3 ≤ # buf3, (n1 + # buf) + n0 + m2 ≤ LEB_SIZE, m2 ≤ EB_PAGE_SIZE, n0 ≤ # buf3, ⌊err0⌋ ⊦ n = 0, wbuf-cons (mkwbuf(buf1, n1 + # buf, m2), mapped(buf + mkempbuf(n1) + subarray(copy(buf3, 0, copy(buf1, 0, mkbuf(n0 + m2), 0, m2), m2, n0), 0, n)), true)

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m ≤ m + n; (s)