theorem Th20: :: GOBOARD7:20

for G being Go-board
for i1, j1, i2, j2 being Nat st 1 <= i1 & i1 + 1 <= len G & 1 <= j1 & j1 <= width G & 1 <= i2 & i2 + 1 <= len G & 1 <= j2 & j2 <= width G & LSeg ((G * (i1,j1)),(G * ((i1 + 1),j1))) meets LSeg ((G * (i2,j2)),(G * ((i2 + 1),j2))) holds
( j1 = j2 & |.(i1 - i2).| <= 1 )