#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## existence

[*see also*: presence

We first show that existence of a solution of...... provides a sufficient
condition for optimality.

Given f and w, we shall prove the existence of a solution to (Q).

This result shows that the mere existence of a nontrivial automorphism j of M produces the cut I(j) of M that satisfies (2).

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