H₀(Ã₂) : Structural Audit / Lean 4 Formalization

Formal verification of the Rank-3 Affine Hecke Algebra constraints. This repository contains the Lean 4 code establishing the algebraic rigidity of the $K=3$ generator set under cyclic symmetry $\mathbb{Z}_3$. Structural Invariants: Combinatorial Singularity: Formal proof of the unique intersection $\cap(F_1, F_2, F_3) = \{33\}$ at Rank $K=3$. Idempotence Constraint: Derivation of the canonical solution $\lambda = -1$ for the deformed coproduct $\Delta(x) = x \otimes 1 + 1 \otimes x + \lambda(x \otimes x)$. Scalar Derivations: Algebraic extraction of the ratio $Q = 2/3$ and the scaling factor $\sqrt[3]{42/33}$ from the minimal basis. Artifacts: Source: Lean 4 (Mathlib4). Axioms: 0. Sorrys: 0. Free Parameters: 0.