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In the mathematical areas of order and lattice theory, the Knaster–Tarski theorem, named after Bronisław Knaster and Alfred Tarski, states the following:Let (L, ≤) be a complete lattice and let f : L → L be an order-preserving (monotonic) function with respect to ≤. Then the set of fixed points of f in L forms a complete lattice under ≤.
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