Official establishment of the Master Theorem Index & Dependency Architecture in AAIS Phase IX. Formalizing 21 fundamental theorems across 8 structural layers, where each layer inherits all prior certified structures without circularity:
𝔇₁ ⊂ 𝔇₂ ⊂ ... ⊂ 𝔇₈ = ⋃ 𝔇ᵢ