[see also: sketch, organization]
In brief outline, here is the main idea of the proof.
In outline, the argument follows that of the single-valued setting, but there are several significant issues that must be addressed in the $n$-valued case.
The outline of this paper is as follows.
We shall briefly outline the necessary changes.
Where it is possible, we outline the proofs so that the reader will not have to hunt for obscure references.
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