# Category:Definitions/Distinct

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This category contains definitions related to Distinct.

### Of Two or More Objects

Two objects $x$ and $y$ are **distinct** if and only if $x \ne y$.

If $x$ and $y$ are **distinct**, then that means they can be **distinguished**, or **identified as being different from each other**.

### Of a Single Object

Let $x \in S$ be an element of a set of objects $S$.

Then:

- $x$ is
**distinguished**from the other elements of $S$

- $x$ is endowed with a property that the other elements of $S$ are specifically deemed not to possess.

Such an element is identified as being **distinct** from the others.

## Pages in category "Definitions/Distinct"

The following 9 pages are in this category, out of 9 total.