theorem Th26: :: GOBOARD7:26

for i1, i2, j1, j2 being Nat
for G being Go-board st 1 <= i1 & i1 + 1 <= len G & 1 <= j1 & j1 <= width G & 1 <= i2 & i2 + 1 <= len G & 1 <= j2 & j2 <= width G & (1 / 2) * ((G * (i1,j1)) + (G * ((i1 + 1),j1))) in LSeg ((G * (i2,j2)),(G * ((i2 + 1),j2))) holds
( i1 = i2 & j1 = j2 )