strictly increasing function

Function between ordered sets that preserves the given strict order

Entitytype of mathematical functionQ78056159

Instance of: type of mathematical function
Subclass of: increasing function
, strictly monotonic function

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In mathematics, a monotonic function is a function between ordered sets that preserves or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order theory.

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Different from: increasing function
Defining formula: x<y\implies f(x)<f(y)
In defining formula: f symbol represents: strictly increasing function
\implies symbol represents: material implication
Opposite of: strictly decreasing function

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Source last edited September 8, 2026. AIDB refreshes this page daily.

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AIDB. (2026). strictly increasing function (Q78056159). Retrieved from https://aidb.si/e/strictly-increasing-function-Q78056159