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Proof step 9 from proof subarray-add-eq-mkempbuf (previous step)

n < n0, m + n0 + n1 ≤ # buf, ∀ n. n < n0 + n1 → buf[m + n] = empty ⊦ buf[m + n] = empty

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: n

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat% ⊦ ¬ m + n < m; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic Used terms: n