Definition:Comparable Sets/Subset Ordering

Definition

Let $S$ and $T$ be sets.

Then $S$ and $T$ are comparable (with respect to the subset ordering) if and only if either:

$S \subseteq T$

or:

$T \subseteq S$

or both.

Also see

• Results about comparable sets can be found here.

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 $4.5$