[see also: single, only]

To every $F$ there corresponds a unique $G$ such that ......

This equation has a unique solution for every $p$.

Then $F$ has a unique lift $F'$.

Therefore, $F$ has the unique lift $F'=p^{-1}F$.

Let $F$ be the unique map such that ......

Hence $M$ is the unique largest submodule of type (a).

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