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Proof step 8 from proof datasize-add-empty-h (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
buf[n0 + n] = empty, subarray(buf, n0, n + 1) = mkempbuf(n + 1), n0 + n < # buf ⊦ datasize(buf, n0 + n) = datasize(buf, n0), subarray(buf, n0, n) = mkempbuf(n)

Rule argument

Additional information

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