let i, j be Element of NAT ; for G being Go-board st i <= len G & j <= width G holds
cell (G,i,j) is connected
let G be Go-board; ( i <= len G & j <= width G implies cell (G,i,j) is connected )
assume A1:
( i <= len G & j <= width G )
; cell (G,i,j) is connected
then
Cl (Int (cell (G,i,j))) is connected
by CONNSP_1:19, GOBOARD9:18;
hence
cell (G,i,j) is connected
by A1, GOBRD11:35; verum