let X, Y, Z 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