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We provide a characterization of no-iteration distributive laws in terms ofits monads in extensive form only. To do that, it is necessary to take accountof both right and left extension systems. We also give, in this right-leftperspective, characterizations of the 1-cells and 2-cells in $\mathbf{EM}(K)$and $\mathbf{Kl}(K)$.

Another characterization of no-iteration distributive laws