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Theorem moveAndFill

moveAndFill#(m, m0, n, a; ar) {ar := move(ar, m, m0, n); if m ≤ n then if m + n < m0 then ar := fill(ar, a, m, n) else ar := fill(ar, a, m, m0) else if m + n < m + m - m0 then ar := fill(ar, a, m, n) else ar := fill(ar, a, m, m0) }