Sentence examples for ordered setting from inspiring English sources

By introducing the notion of continuity of a mapping from a metric space into itself depending on a function α, which is the case that covers the partially ordered setting, we extend some very recent theorems involving control functions that only must be lower/upper semi-continuous from the right.

If (X, ≼) is a partially ordered set.

Thus, ( X, ⪯ ) is a partially ordered set.

Let be is a control ordered set.

[3]Let (X, ≼) be a partially ordered set.

Clearly, and is a partially ordered set.

Indeed, let be a totally ordered set.

Let be a partially ordered set.

Obviously, is a totally ordered set in.

((X,preceq)) is a partially ordered set.

Let X be a totally ordered set.