Definition:Increasing/Real Function

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Let $f$ be a real function.

Then $f$ is increasing if and only if:

$x \le y \implies f \left({x}\right) \le f \left({y}\right)$

Also known as

Some sources refer to this as a non-decreasing real function, and use the term increasing real function for what on $\mathsf{Pr} \infty \mathsf{fWiki}$ is called a strictly increasing real function.

Also see