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Homotopy Type Theory
monotonic function > history (Rev #1)

# Contents

## Definition

Let $A$ and $B$ be preorders. A **monotonic function** is a function $f : A \to B$ with a family of dependent terms

$\phi(a,b):(a \leq b) \to (f(a) \leq f(b))$

showing that the preorder is preserved by $f$.

## See also

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