Two arrows \(\Arrow{A}{B}\) and \(\Arrow{X}{Y}\), joining
\(A(a_1,\dots ,a_n)\) |
to |
\(B(b_1,\dots ,b_n)\) |
\(X(x_1,\dots ,x_n)\) |
to |
\(Y(y_1,\dots ,y_n)\) |
are called equivalent if
\((b_1-a_1,\dots ,b_n-a_n)\) | \(=\) | \((y_1-x_1,\dots ,y_n-x_n)\) |