Covariant Derivative: 2nd Diff - My Question

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Kisok

TL;DR: On p158 of General Relativity written by Hobson et al., there is second differentiation of the covariant derivative. However hard I tried to understand why the first equality for the second differentiation holds, I could not. I would be very appreciated if someone help me why it should be.

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martinbn

Well, what is this ##\nabla_cT_{ba}## equal to?

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