Once we publish the Levi-Civita image being a determinant like we did higher than, the totally antisymmetric property that it possess results in being obvious: swapping any two indices corresponds to interchanging their corresponding rows inside the matrix resulting from which the determinant, that is the Levi-Civita itself, variations indication. https://cesarkidav.elbloglibre.com/26737827/not-known-facts-about-levis-4d