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