Omnionion

The Omnionion is a natural heavily structure-based verse with a complex system of layers, named after having divisions like an onion, and being "all" (omni) layers of reality (to a certain extent). It is the inverse of the Voidonion, which is element-based instead of reality-based.

Each layer is an extended reality building on top of the previous layer, with limit ordinals additionally building on top of the properties of their fundamental sequences.

Substructures
Define $$\odot_{x}$$ as the x-th layer of the Omnionion.

$$\odot_{0}$$ is the "traditional" reality, with a mostly static containment order, very basic logic to determine if something is valid, and so on.

For elements in y's fundamental sequence, $$\odot_{x}$$ generally consists of progressively looser and looser rules applied to the corresponding layer of the Omnionion, along with sub-fundamental-sequence layer correspondences.

Due to the arbitrary and broad definitions above, the layers of Omnionions are varied in descriptions.

Naming system
Each layer is suffixed with -skerse, which itself is named after a combination of the words "skin" and Verse.

Various "important" layers (can be expanded over time by users)
Do not change the numbers to math tags, otherwise its not obvious that they are links

Acessibility
Like the Voidonion, the Omnionion's upper layers can only be accessed conveniently via Omnipockets. Due to the immense chaos of the last layer of the Omnionion, Omnipockets should be set up in a way that balances "skipping chaotic levels" and "only gradually getting more chaotic".

For weaker civilizations, many Omnipockets would need creation anyway, due to $$\omega_1$$'s inaccessibility properties.