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_1:20, GOBOARD9:21;
hence
cell G,i,j is connected
by A1, GOBRD11:35; verum