Sentence examples for totally orders from inspiring English sources

Local connectedness implies that \ \preceq_i\) totally orders \ \Pi_i(w)\) and well-foundedness implies that \(Min_{\preceq_i}(\Pi_i(w))\) is nonempty.

A subset E of an ordered set ((X,preceq)) is called totally ordered if (xprecsucc y) for all (x,yin E).

To conclude, is totally ordered.

Conclusively, is a totally ordered subset.

We claim that is totally ordered.

Indeed, let be a totally ordered set.

Let be a totally ordered subset of.

Obviously, is a totally ordered set in.

Let X be a totally ordered set.

X is a complete, totally ordered 2-metric space.

Let be a totally ordered subset of and consider.