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Proof step 7 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 ∨ ¬ datasize(buf, n0) < datasize(buf, m) ∨ ¬ m < # buf ∨ ¬ n0 ≤ # buf ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
m < # buf, n0 < # buf, (buf[n0] = empty ⊃ datasize(buf, n0);n0 + 1) < datasize(buf, m), m ≤ n0, ¬ m < n0 ∨ ¬ datasize(buf, n0) < datasize(buf, m) ⊦

Rule argument

Additional information

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