Remark 85.17.17 (Variant for adic-star). Let $P$ be a local property of morphisms of $\textit{WAdm}^{adic*}$, see Remark 85.17.4. We say $P$ *has the cancellation property* if given $B \to A$ and $C \to B$ in $\textit{WAdm}^{adic*}$ we have $P(C \to A) \wedge P(C \to B) \Rightarrow P(B \to A)$. In exactly the same way we obtain a variant of Lemma 85.17.12 for morphisms between locally adic* formal algebraic spaces over $S$.

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