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Proof step 12 from proof datasize-samebuf-h (previous step)

(buf[n0] = empty ⊃ datasize(buf, n0);n0 + 1) < datasize(buf, m), n0 < # buf, m < # buf, m ≤ n0 ⊦ datasize(buf, n0) < datasize(buf, m)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
m < # buf, n0 < # buf, (buf[n0] = empty ⊃ datasize(buf, n0);n0 + 1) < datasize(buf, m), (buf[n0] = empty ⊃ datasize(buf, n0);n0 + 1) < datasize(buf, n0), m ≤ n0, datasize(buf, m) ≤ datasize(buf, n0) ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat% ⊦ m < n ↔ ¬ n ≤ m; (ss)