#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## if

[*see also*: when, whenever, whether, provided

The map F is said to be
* proper* if G is dense. [* Note*: no comma
before * if* here.]

By deleting the intervals containing x, if any, we obtain......

There are few, if any, other significant classes of processes for which
such precise information is available.

We can assume, by decreasing n if necessary, that......

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