let Z, X, Y be set ; for f being Function holds Z | <:f,X,Y:> = <:f,X,(Z /\ Y):>
let f be Function; Z | <:f,X,Y:> = <:f,X,(Z /\ Y):>
thus Z | <:f,X,Y:> =
Z | (Y | (f | X))
by RELAT_1:109
.=
(Z /\ Y) | (f | X)
by RELAT_1:96
.=
<:f,X,(Z /\ Y):>
by RELAT_1:109
; verum