#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## consequence

[*see also*: result, effect, outcome

This is a consequence of Dini's theorem.

It is a consequence of the Hahn-Banach theorem that......

An obvious consequence of Theorem 2 is the following.

As a consequence of Lemma 2, there is......

This has numerous important consequences; to name just two, Brauer proved that......

This is impossible in consequence of the last corollary.

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