theorem Th3: :: GOBOARD5:3

for i1, i2, j being Nat
for G being Matrix of (TOP-REAL 2) st G is X_increasing-in-column & 1 <= j & j <= width G & 1 <= i1 & i1 < i2 & i2 <= len G holds
(G * (i1,j)) `1 < (G * (i2,j)) `1