let p be Point of (TOP-REAL 2); :: thesis: for G being Go-board holds LSeg p,((G * (len G),1) + |[1,(- 1)]|) meets Int (cell G,(len G),0 )
let G be Go-board; :: thesis: LSeg p,((G * (len G),1) + |[1,(- 1)]|) meets Int (cell G,(len G),0 )
now take a =
(G * (len G),1) + |[1,(- 1)]|;
:: thesis: ( a in LSeg p,((G * (len G),1) + |[1,(- 1)]|) & a in Int (cell G,(len G),0 ) )thus
a in LSeg p,
((G * (len G),1) + |[1,(- 1)]|)
by RLTOPSP1:69;
:: thesis: a in Int (cell G,(len G),0 )thus
a in Int (cell G,(len G),0 )
by Th42;
:: thesis: verum end;
hence
LSeg p,((G * (len G),1) + |[1,(- 1)]|) meets Int (cell G,(len G),0 )
by XBOOLE_0:3; :: thesis: verum