# Category:Definitions/Min Operation

This category contains definitions related to Min Operation.
Related results can be found in Category:Min Operation.

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

The min operation is the binary operation on $\struct {S, \preceq}$ defined as:

$\forall x, y \in S: \map \min {x, y} = \begin {cases} x & : x \preceq y \\ y & : y \preceq x \end {cases}$

## Pages in category "Definitions/Min Operation"

The following 2 pages are in this category, out of 2 total.