let i, j be Element of NAT ; :: thesis: for G being Matrix of (TOP-REAL 2) holds cell G,i,j is closed
let G be Matrix of (TOP-REAL 2); :: thesis: cell G,i,j is closed
A1:
cell G,i,j = (h_strip G,j) /\ (v_strip G,i)
by GOBOARD5:def 3;
A2:
h_strip G,j is closed
by Th16;
v_strip G,i is closed
by Th17;
hence
cell G,i,j is closed
by A1, A2, TOPS_1:35; :: thesis: verum