Containment

Containment is a concept referring to the ability of one object B to hold all of object A's contents and more. In other words, A \subseteq B is equivalent to \forall x \left(x \subseteq A \implies x \subseteq B\right).
==Definition==
Verse A is contained inside of verse B, if the set of all information of A includes all information from the set of B. A\cap B=A
This rule takes advantage of the fact that laws map all information inside of the area of space they are inscribed in, which means that laws of B influence all information from A, giving us an alternative definition to containment. This only works if B has laws and is used for objects that aren’t obvious if they are contained by B. A is partially contained in B if A\cap B\nsubseteq\{\varnothing ,A\}.
Such a precise definition of containment is not needed in typical cases of A and B, but is needed when one can not directly observe containment between A and B and must use limited information.
A is not contained in B if A\cap B=\varnothing.
When A’s area of influence reaches beyond B, Ais mostly contained in B. However, if both A and its area of influence is contained in B, A is properly contained in B (properly contained and contained have the same definition, properly contained is just more specific and used in more technical matters).
A verse that is lower dimensional than another verse can not contain said verse, as it is impossible, for example, a plane to contain a sphere.
==Measurement==
===Hierarchies===
In Hypercosmology, a containment hierarchy describes a set H defined as the following:
*\forall x \in H \exists y \in H ( x \in y \or y \in x )
*\forall x \in H \forall y \in H ( x \subseteq y \or y \subseteq x \or x = y )
A hierarchy can be based on any object, such as a Universe; examples include The Official Hierarchy, The Extended Hierarchy, The Post-Hierarchy, and The Pre-Hierarchy.
===EUSI===
A verse's containment depth with respect to the Universe can be measured in the EUSI scale. EUSI describes a transfinite containment depth with Velben Notation.
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