## underlie

[*see also*: basis, foundation]

It is this idea that underlies some of the results of [2].

The condition ...... can be improved by employing a strategy similar to that underlying the proof of Theorem 2.

The semidirect product of $H$ and $G$ has $H\times G$ as its underlying set.

All our results hold independently of whether the underlying field is $R$ or $C$.

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