let x, X, y, Y be set ; :: thesis: ( x in X & y in Y implies {[x,y]} is Relation of X,Y )
assume
( x in X & y in Y )
; :: thesis: {[x,y]} is Relation of X,Y
then
[x,y] in [:X,Y:]
by ZFMISC_1:106;
hence
{[x,y]} is Relation of X,Y
by ZFMISC_1:37; :: thesis: verum