theorem Th19: :: GOBOARD7:19

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