Definition:Strictly Decreasing/Real Function

Definition

Let $f$ be a real function.

Then $f$ is strictly decreasing (or strictly order-reversing) iff:

$x < y \iff f \left({y}\right) < f \left({x}\right)$

Also see

• Decreasing Function
• Strictly Increasing Function
• Strictly Monotone Function

Sources

• K.G. Binmore: Mathematical Analysis: A Straightforward Approach (1977)... (previous)... (next): $\S 12.1$