A direct proof of Stahl's theorem for a generic class of algebraic functions

Under the assumption of existence Stahl's $S$-compact set we give a short proof limit zeros distribution Pade polynomials and convergence in capacity diagonal approximants for generic class algebraic functions. The is direct but not from opposite as original is. means particular that all branch points multi-sheeted Riemann surface function are first order (i.e., assume such square root type). We do use relations orthogonality at all. based on maximum principle only.