let C1, C2 be Coherence_Space; for x, y being set holds
( [[x,2],[y,2]] in Web (C1 "/\" C2) iff [x,y] in Web C2 )
let x, y be set ; ( [[x,2],[y,2]] in Web (C1 "/\" C2) iff [x,y] in Web C2 )
A1:
( [[x,2],[y,2]] in Web (C1 "/\" C2) iff {[x,2],[y,2]} in C1 "/\" C2 )
by COH_SP:5;
A2:
( [x,y] in Web C2 iff {x,y} in C2 )
by COH_SP:5;
A3:
[:{x,y},{2}:] = {[x,2],[y,2]}
by ZFMISC_1:30;
( {} U+ {x,y} = [:{x,y},{2}:] & {} in C1 )
by Th74, COH_SP:1;
hence
( [[x,2],[y,2]] in Web (C1 "/\" C2) iff [x,y] in Web C2 )
by A1, A2, A3, Th84; verum