#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## belong

[*see also*: element, member, membership

Lebesgue discovered that a satisfactory theory of integration results if the
sets E_{i} are allowed to belong to a larger class of subsets of the line.

Two consecutive elements do not belong both to A or both to B.

It turns out that A, B and C all belong to the same class, which we represent by
the symbol P_{2}.

For the sake of clarity, we shall indicate in what follows to which space
X belongs.

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