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Proof step 48 from proof refine-read (previous step)

# 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, n3 ≤ # buf2, n1 ≤ LEB_SIZE, n3 + n2 ≤ # buf2, m1 + n2 ≤ LEB_SIZE, n2 + n3 ≤ # buf2, n < n3 ∨ n3 + n2 ≤ n ⊦ buf2[n] = (n < n3 ⊃ buf2[n];(n < n2 + n3 ⊃ subarray(subarray(buf0, 0, n1) + mkempbuf(n0), m1, n2)[n - n3];subarray(buf2, n3 + n2, n4)[n - n3 - n2]))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 49:
# buf2 = (n4 + n2) + n3, LEB_SIZE = n0 + n1, avols[default-volid][m2] = mapped(buf0, n1), n < # buf2, m2 < # avols[default-volid], n3 + n2 < # buf2, n3 < # buf2, ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols, n1 ≤ LEB_SIZE, m1 + n2 ≤ LEB_SIZE, n3 + n2 ≤ n, n3 ≤ n ⊦ n4 + n2 = 0, buf2[n] = subarray(buf2, n3 + n2, n4)[n - n3 - n2], n4 = 0

Rule argument

Additional information

Used simplifier rules: a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m < m + n ↔ n ≠ 0; (s)% ⊦ m + n < m + n0 ↔ n < n0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ m < n → m ≤ n; (s)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m ≤ n → (n < m ↔ false); (s)%c: ⊦ m + n = n + m; from specification nat-basic