#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## reduce

[*see also*: decrease, diminish, lower

We first prove a reduced form of the theorem.

By induction, we are reduced to proving the following lemma.

The problem now reduces to establishing that......

Kim announces that (by a tedious proof) the upper bound can be reduced to 10.

The length of F is thus reduced by half.

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