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Proof step 9 from proof datasize-samebuf-h (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
(buf[n0] = empty ⊃ datasize(buf, n0);n0 + 1) < datasize(buf, n0), n0 < # buf ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ m; (s)%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic% ⊦ m ≤ n → (n ≤ m ↔ m = n); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)