∀ {𝕜 : Type u_1} [inst : RCLike 𝕜] {n : Type u_2} [inst_1 : Fintype n] {A : Matrix n n 𝕜} [inst_2 : DecidableEq n]
  (hA : A.IsHermitian) (j : n), (↑hA.eigenvectorUnitary).mulVec (Pi.single j 1) = (hA.eigenvectorBasis j).ofLp