let H be ZF-formula; for x, y being Variable holds variables_in (All x,y,H) = (variables_in H) \/ {x,y}
let x, y be Variable; variables_in (All x,y,H) = (variables_in H) \/ {x,y}
thus variables_in (All x,y,H) =
(variables_in (All y,H)) \/ {x}
by Th155
.=
((variables_in H) \/ {y}) \/ {x}
by Th155
.=
(variables_in H) \/ ({y} \/ {x})
by XBOOLE_1:4
.=
(variables_in H) \/ {x,y}
by ENUMSET1:41
; verum