Definition: Subadditive Function

Let $A,B$ be sets, on which addition operations $(A,+)$, and $(B,\oplus)$ are defined. Let $B$ be linearly ordered by some order relation "$\le$".

A subadditive function is a function $f\colon A\to B$ such that for all $x,y\in A$ the inequation $f(x+y)\leq f(x)\oplus f(y)$ holds.

Propositions: 1

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