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Proof step 16 from proof datasize-add-empty-h (previous step)

buf[n0 + n] = empty, n0 + n < # buf, n1 < n, ¬ n < n1 → subarray(buf, n0, n + 1)[n1] = mkempbuf(n + 1)[n1] ⊦ buf[n0 + n1] = empty, datasize(buf, n0 + n) = datasize(buf, n0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
buf[n0 + n] = empty, subarray(buf, n0, n + 1)[n1] = mkempbuf(n + 1)[n1], n1 < n, n0 + n < # buf ⊦ buf[n0 + n1] = empty, datasize(buf, n0 + n) = datasize(buf, n0)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → ¬ n < m; (s)