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How can one prove the Bianchi identity of a non-Abelian gauge theory? i.e.
$$
\epsilon_{\mu \nu \lambda \sigma}(D_{\nu}F_{\lambda \sigma})^a=0
$$$$
\epsilon^{\mu \nu \lambda \sigma}(D_{\nu}F_{\lambda \sigma})^a=0
$$
How can one prove the Bianchi identity of a non-Abelian gauge theory? i.e.
$$
\epsilon_{\mu \nu \lambda \sigma}(D_{\nu}F_{\lambda \sigma})^a=0
$$
How can one prove the Bianchi identity of a non-Abelian gauge theory? i.e.
$$
\epsilon^{\mu \nu \lambda \sigma}(D_{\nu}F_{\lambda \sigma})^a=0
$$
