let p be Point of (TOP-REAL 2); :: thesis: for G being Go-board holds LSeg (p,((G * ((len G),(width G))) + |[1,1]|)) meets Int (cell (G,(len G),(width G)))
let G be Go-board; :: thesis: LSeg (p,((G * ((len G),(width G))) + |[1,1]|)) meets Int (cell (G,(len G),(width G)))
now :: thesis: ex a being Element of the carrier of (TOP-REAL 2) st
( a in LSeg (p,((G * ((len G),(width G))) + |[1,1]|)) & a in Int (cell (G,(len G),(width G))) )
take a = (G * ((len G),(width G))) + |[1,1]|; :: thesis: ( a in LSeg (p,((G * ((len G),(width G))) + |[1,1]|)) & a in Int (cell (G,(len G),(width G))) )
thus a in LSeg (p,((G * ((len G),(width G))) + |[1,1]|)) by RLTOPSP1:68; :: thesis: a in Int (cell (G,(len G),(width G)))
thus a in Int (cell (G,(len G),(width G))) by Th37; :: thesis: verum
end;
hence LSeg (p,((G * ((len G),(width G))) + |[1,1]|)) meets Int (cell (G,(len G),(width G))) by XBOOLE_0:3; :: thesis: verum