Fermat' s Last Theorem Proof (3 lines Way)

Abstract This paper presents a concise framework for proving the structure of Fermat's Last Theorem (a^n + b^n = c^n) where there are no solutions for a, b, c, n ∈ ℕ⁺ when n > 2, using variable transformation and additive parameter reduction. By including integer Markdown displacements (u, v) and residual gap coefficients (k, g) in a hypothetical target exponential basis, the framework structures the exponential components to isolate structural inequalities. The resulting equilibrium identities show that changes in cumulative expansion prevent direct integer power matching, thus establishing a direct limit to the inequality.