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Theorem valid-wl-next-valid-use

m < # apebs, # apebs = # wlar ⊦ valid-wl(subarray(apebs, 0, m), subarray(wlar, 0, m)) ∧ valid-peb(v, n, apebs[m]) ∧ valid-sqns(v, n, apebs, m) = ∅ → (valid-wl(subarray(apebs, 0, m + 1), subarray(wlar[m, wl-entry(m0, used)], 0, m + 1)) ↔ apebs[m].echdr.ec = m0)

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