theorem Th47: :: GOBOARD6:47

for i being Nat
for G being Go-board st 1 <= i & i < len G holds
LSeg ((((1 / 2) * ((G * (i,(width G))) + (G * ((i + 1),(width G))))) + |[0,1]|),((1 / 2) * ((G * (i,(width G))) + (G * ((i + 1),(width G)))))) c= (Int (cell (G,i,(width G)))) \/ {((1 / 2) * ((G * (i,(width G))) + (G * ((i + 1),(width G)))))}