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 the real question is, can you equate the parts with the whole?

obviously not!

thus you can't say infinity = 1

but you can assert a relation between infinity and nothing, that's a separate thing, they are the boundary conditions of counting

infinity is endless counting, nothing is not counting 
 That is, I think, missing the point.  If God is identical with his attributes, and we can say God is infinite, then it is also true the infinite is God.

God has to possess all objects and categories in Himself in some way, or He could not create all of them.  Yet His creations are distinct from Himself.

Perhaps that's a more philosophical way to state what you've been trying to talk about mathematically? 
 i like to boil it down to arithmetic because that's the simplest form of relation

but yes 
 the proper name for it is ontology

relates to set theory as well, you could use set concepts to explain it

God is the infinite set

all things are members of the God set

equality in set theory means the identical set, obviously this means no subset of the God set can be God

The trinity itself is a subset of the God set, the Father, the Son and the Holy Ghost are subsets of God

ah yes and the last one that makes it all the best fun

Any infinite set can contain another infinite set

i was reading about this a few weeks ago, how there is many kinds of infinity... i suppose there must be infinite kinds of infinity, ultimately

in my opinion, to know mathematics, arithmetic, set theory, algebra, physics, and to not have an inkling of the God set is wanton blindness