Category:Definitions/Ordered Structures

From ProofWiki
Jump to navigation Jump to search

This category contains definitions related to Ordered Structures.
Related results can be found in Category:Ordered Structures.


An ordered structure $\left({S, \circ, \preceq}\right)$ is a set $S$ such that:

$(1): \quad \left({S, \circ}\right)$ is an algebraic structure
$(2): \quad \left({S, \preceq}\right)$ is an ordered set
$(3): \quad \preceq$ is compatible with $\circ$.