# Category:Order Properties

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This category contains results about Order Properties.

An **order property** is a property of an ordered sets which is invariant under order isomorphism.

That is, if $\struct {S_1, \preceq_1}$ and $\struct {S_2, \preceq_2}$ are isomorphic ordered sets, and $P$ is a property, then:

- $\map P {S_1, \preceq_1} \iff \map P {S_2, \preceq_2}$

## Subcategories

This category has only the following subcategory.