#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## prove

[*see also*: show, establish, demonstrate, substantiate, validate

The theorem to be proved is the following. [= which will be proved]

The uniqueness of f is easily proved, since......

If n=1, there is nothing to prove.

However, this cannot be proved of the cardinal function d(X).

Much to our surprise, even for k=1 the problem proved quite difficult.

This result will prove extremely useful in Section 2.

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