#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## 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× G as its underlying set.

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

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