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Theorem singletonmxvec-get-sum-aux

⊦ n < m ∧ c < # vec ∧ r < m ∧ n1 ≤ # vec → Σ(0 to n1, λ n0. (mkmatrix(m, # vec, O)[r, c := a])[n, n0] * vec[n0]) = (n = r ∧ c < n1 ⊃ a * vec[c];O)

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