## order-embedding

A function f : D -> C is order-embedding iff for all x, y in D,

f(x) <= f(y) <=> x <= y.I.e. arguments and results compare similarly. A function which is order-embedding is monotonic and one-to-one and an injection.

("<=" is written in LaTeX as \sqsubseteq).

Last updated: 1995-02-03

### Nearby terms:

Orca ♦ Order Code Processor ♦ **order-embedding** ♦ ordering ♦ ordinal ♦ ordinary differential equation

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