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Proof step 11 from proof datasize-split-empty-h (previous step)

buf1 = mkempbuf(# buf1), m0 ≤ # buf1 ⊦ # buf0 + datasize(buf1, m0) = datasize(buf0, # buf0), m0 = 0, ∀ n. n < m0 → buf1[n] = empty

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
buf1 = mkempbuf(# buf1), n < m0, n < # buf1, m0 ≤ # buf1 ⊦ # buf0 + datasize(buf1, m0) = datasize(buf0, # buf0), buf1[n] = empty

Rule argument

Additional information

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