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Theorem valid-recs-in-nonempty-sqns

m < # apebs, # wlar = # apebs ⊦ valid-recs(subarray(apebs, 0, m), subarray(wlar, 0, m), recs) ∧ valid-wl(subarray(apebs, 0, m), subarray(wlar, 0, m)) ∧ v × n ∈ recs → valid-sqns(v, n, apebs, m) ≠ ∅

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