#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## subsequence

Then we can find a subsequence (still denoted by a_{n}) such that a_{n}<1 for all n.

Then we can find a subsequence (not renamed) such that a_{n}<1 for all n.

Thus every subsequence contains a further subsequence converging weakly to some limit.

Passing to a subsequence if necessary, we can assume that......

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