If you have invisible, incorporeal entity G, and invisible, incorporeal entity H, both of which are infinitely perfect and not inferior in dignity to anything else, then by the rule of indirect equality:
x=y ≡ (∀z. z≤x ≡ z≤y)
G is H.
(or at least isomorphic to H, if one allows one's deities to merely be preordered instead of partially ordered. However, in this setting one would be unable to distinguish even a single religion's deity from Her identical twin Latonya, which probably leads to greater theological problems than it solves...)
Per the chain above, if you also exist in some state where you are effectively, permanently downhill in computation, then entities which exist at some state upward are "effectively" indistinguishable, no matter their relative "up".
In Greek theology, all "deities" are effectively "up" and normal humans have very little way of telling which entity is "really" in charge. To much information disparity. Zeus, Hera? Hephaestus? Has it already done the entire Titans storyline again with Zeus, and humans don't even know?
Below some resolution, the lines on the chip are indistinguishable from a pixel. [1] Most creatures need significant advancement to comprehend anything other than "glowing texture."
> ...done the entire Titans storyline again with Zeus, and humans don't even know?
Ancient Mythology theorists suggest it has been done, with the advent of the "Age of Pisces", and humans have bumper stickers to attest to it. Could it be true?
> normal humans have very little way of telling which entity is "really" in charge
The rivalries (enacted with human and demigod pawns) in the Iliad suggest that even the Olympians didn't know they had a King and instead acted as an (infighting and infidelitous?) autonomous collective.
"You can't expect to wield supreme executive power, just 'cause you got your dad to chunder all your siblings!"
(note that a tradition of apothanatophagy has been carried over from the Olympian age into the Galilean)
It is not even necessary to think of it like that. Judeo-Christians (including Mormons) and Muslims claim to worship the god of the same figure called Abraham/Ibrahim of Canaan, who had sons named Isaac and Ishmael/Ismail. According to the Judeo-Christians, Isaac had a son named Jacob whose sons formed the twelve tribes of Israel, while according to Islam, Ishmael/Ismail was the ancestor of Muhammad.
(or at least isomorphic to H, if one allows one's deities to merely be preordered instead of partially ordered. However, in this setting one would be unable to distinguish even a single religion's deity from Her identical twin Latonya, which probably leads to greater theological problems than it solves...)