| m ≤ # apebs, # apebs = # wlar ⊦ valid-recs(subarray(apebs, 0, m), subarray(wlar, 0, m), recs) ∧ valid-recs-sqns(apebs, recs) ∧ valid-wl(subarray(apebs, 0, m), subarray(wlar, 0, m)) ∧ v × n ∈ recs ∧ recs[v × n] = recovery-entry(m0, m1) → m1 = valid-sqns(v, n, apebs, m).max |