Definition:Bounded Class/Bounded by Set

Definition

Let $B$ be a class.

Let $x$ be a set.

$B$ is bounded by $x$ if and only if:

every element of $B$ is a subset of $x$.

Also see

• Definition:Bounded Subset of Class

Sources

• 2010: Raymond M. Smullyan and Melvin Fitting: Set Theory and the Continuum Problem (revised ed.) ... (previous) ... (next): Chapter $3$: The Natural Numbers: $\S 4$ A double induction principle and its applications: Definition $4.11$