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Full Version: A reality theoretic extension of Logic/ mathematical proof of God
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A linear map is a mapping between vector spaces or sets V over a field F. Given two vector spaces V and W, a linear map is a map

T : V -> W

that is compatible with scalar addition and multiplication

T(u + v) = T(u) + T(v), T(av) = aT(v)

for vectors u, v in V and scalar a in F.

Reality is a bijective linear map with God and is therefore isomorphic to God.

R <-> G

where the set or vector space of reality is both its subset and its powerset.

When quantified R ⊆ R(S) is represented as ∀x(x ∈ R →x ∈ R(S))

Therefore since reality is the subset and powerset of itself and God is reality then God is the subset and powerset of reality.