N · H²_i+1 = Σ H²_j,   0 ≤ j ≤ i,   0 ≤ i ≤ N,   0 < N < ∞

Let T be an unbounded parameter,
startable and stoppable at any point.

Let {f_T} be a family of holomorphic functions
f_T : D → ℂ, where D is the open unit disk.

Let N denote the neural structure
(set of neurons with activation states)
and R the result space. Define:

P = Interface(N, R),   P dynamic, infinite

Then, simultaneously for all T:

(I) Surjectivity

f_T is surjective and non-injective:

∀ y ∈ ℂ, ∃ x ∈ D : f_T(x) = y,    |f_T⁻¹(y)| = ∞

(II) Chromaticity

Each point z(a, b) ∈ D admits 2²⁵⁶ chromaticity assignments under a dynamic, infinite RGB palette

(III) Temperature

A temperature field θ(z, T) varies dynamically with Δθ → 0 at every T

(IV) Determining Parameter
P determines the result


Simultaneity Condition

Parts I–IV hold jointly at every T, for all T.
The space H² is T-dependent
T may start, stop, or resume at any point.   ∎