Formal Verification of 2D Navier-Stokes Energy Theory and 3D Foundations in Lean 4 (v2: complete evidence)

We present 26 sorry-free formally verified theorems in Lean 4 with Mathlib4 covering the complete 2D Navier-Stokes energy theory and foundational results for the 3D regularity problem. Results include: (1) nonlinear energy conservation ∫u·(u·∇)u dμ = 0; (2) pressure and viscosity terms; (3) energy and enstrophy monotone decrease E(t)≤E(0), Z(t)≤Z(0); (4) Gronwall inequality and uniqueness; (5) BKM blowup criterion structure; (6) 3D scaling obstruction analysis. All 26 theorems compile with zero sorry-markers. First comprehensive Lean 4 formalization of 2D NS energy theory. Does not prove the 3D Millennium Prize.