Remark 87.28.1 (Universal property restricted power series). Let $A \to C$ be a continuous map of complete linearly topologized rings. Then any $A$-algebra map $A[x_1, \ldots x_ r] \to C$ extends uniquely to a continuous map $A\{ x_1, \ldots , x_ r\} \to C$ on restricted power series.

[Chapter 0, 7.5.3, EGA]

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