let x, x1, x2, x3 be object ; for X being set st [x1,x,x2,x3] in X holds
x in proj2_4 X
let X be set ; ( [x1,x,x2,x3] in X implies x in proj2_4 X )
assume
[x1,x,x2,x3] in X
; x in proj2_4 X
then
[[x1,x],x2,x3] in X
;
then
[x1,x] in proj1_3 X
by Th13;
hence
x in proj2_4 X
by Def13; verum