Learn English – Noun for enable (“enability”, “enabliness”)

There is a device that often appears in Hebrew writings known as chiastic structure. Essentially it extends chiasmus (a common literary device that relates clauses in criss-cross fashion—think "the first shall be last and the last shall be first") to an entire passage. It is particularly common in Old Testament writing. Another word used to mean chiastic structure is palistrophe.

For example, a palistrophe or chiastic structure may have the form ABCDEDCBA, meaning that an idea A is presented, followed by an idea B, and so on. Thus the first idea presented is also the last. Other chiastic structures are possible, but they are still structured so that the first and last ideas are the same (or, at the very least, similar).

I think chiastic structure appropriately describes what you are seeking.

Added: a link to a picture of the chiastic structure of Genesis 6–9 for reference.

Consider "Enter your login credentials".

Credentials

1. Usually, credentials. evidence of authority, status, rights, entitlement to privileges, or the like, usually in written form: "Only those with the proper credentials are admitted."

2. Anything that provides the basis for confidence, belief, credit, etc.