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## Homework Statement

prove the zero component lemma for any anti-symmetric 4-tensor: If any one of its 0ff-diagonal component is zero in all inertial coordinate system, then the entire tensor is zero.

## Homework Equations

## The Attempt at a Solution

in case of 4-

*vector*, if a particular component is zero in all inertial frame then by Lorentz Transformation in different direction, it can be proved that the 4-vector is zero in all inertial frame.

Here, i m confusing in how to prove it in case of anti-symmetric 4-tensor

Any help would be highly appreciated. thank