Category:Definitions/Dual Orderings

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This category contains definitions related to Dual Orderings.
Related results can be found in Category:Dual Orderings.

Let $\struct {S, \preceq}$ be an ordered set.

Let $\succeq$ be the inverse relation to $\preceq$.

That is, for all $a, b \in S$:

$a \succeq b$ if and only if $b \preceq a$

Then $\succeq$ is called the dual ordering of $\preceq$.