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 convex
let G be Go-board; ( i <= len G & j <= width G implies cell G,i,j is convex )
assume
( i <= len G & j <= width G )
; cell G,i,j is convex
then
( v_strip G,i is convex & h_strip G,j is convex )
by Th19, Th20;
hence
cell G,i,j is convex
by GOBOARD9:9; verum