Once we write the Levi-Civita image as being a determinant like we did higher than, the absolutely antisymmetric home that it have will become evident: swapping any two indices corresponds to interchanging their corresponding rows during the matrix resulting from which the determinant, which can be the Levi-Civita by itself, https://milousdpi.designertoblog.com/58055004/the-basic-principles-of-levis-4d