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Proof step 40 from proof refine-read (previous step)

# buf2 = (n4 + n2) + n3, LEB_SIZE = n0 + n1, avols[default-volid][m2] = mapped(buf0, n1), m2 < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols, n2 + n3 ≤ # buf2, m1 + n2 ≤ LEB_SIZE, n3 + n2 ≤ # buf2, n1 ≤ LEB_SIZE, n3 ≤ # buf2 ⊦ # copy(buf0, m1, buf2, n3, n2) = #(subarray(buf2, 0, n3) + subarray(subarray(buf0, 0, n1) + mkempbuf(n0), m1, n2) + subarray(buf2, n3 + n2, n4)) ∧ (∀ n. n < # copy(buf0, m1, buf2, n3, n2) → copy(buf0, m1, buf2, n3, n2)[n] = (subarray(buf2, 0, n3) + subarray(subarray(buf0, 0, n1) + mkempbuf(n0), m1, n2) + subarray(buf2, n3 + n2, n4))[n])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 41:
# buf2 = (n4 + n2) + n3, LEB_SIZE = n0 + n1, avols[default-volid][m2] = mapped(buf0, n1), n < # buf2, m2 < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols, n2 + n3 ≤ # buf2, m1 + n2 ≤ LEB_SIZE, n3 + n2 ≤ # buf2, n1 ≤ LEB_SIZE, n3 ≤ # buf2 ⊦ (n < n3 ∨ n3 + n2 ≤ n ⊃ buf2[n];buf0[n + m1 - n3]) = (subarray(buf2, 0, n3) + subarray(subarray(buf0, 0, n1) + mkempbuf(n0), m1, n2) + subarray(buf2, n3 + n2, n4))[n]

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 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%⊦ m0 < # buf → copy(buf0, n, buf, n0, m)[m0] = (m0 < n0 ∨ n0 + m ≤ m0 ⊃ buf[m0];buf0[m0 + n - n0]); (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ # subarray(buf, m, n) = n; (s)% ⊦ #(buf + buf0) = # buf + # buf0; (s)% ⊦ # copy(buf, m, buf0, m0, n) = # buf0; (s)