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Proof step 16 from proof ubi-io-initial-valid-sqns-h (previous step)

n0 < # apebs, ubi-io-initial(apebs), ∀ apebs, v, m. ubi-io-initial(apebs) ∧ n0 ≤ # apebs → valid-sqns(v, m, apebs, n0) = ∅ ⊦ valid-sqns(v, m, apebs, n0) = ∅, valid-peb(v, m, apebs[n0])

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: apebs, v, m

Additional information

Used simplifier rules: ⊦ m < n → m ≤ n; (s) Used terms: apebs, v, m