for G being Go-board
for i1, i2, j1, j2 being Nat st 1 <= j1 & j1 <= width G & 1 <= j2 & j2 <= width G & 1 <= i1 & i1 < i2 & i2 <= len G holds
(G * (i1,j1)) `1 < (G * (i2,j2)) `1