let f be Function; for A being set
for F being Function
for x being object holds (F [;] (x,f)) * (id A) = F [;] (x,(f | A))
let A be set ; for F being Function
for x being object holds (F [;] (x,f)) * (id A) = F [;] (x,(f | A))
let F be Function; for x being object holds (F [;] (x,f)) * (id A) = F [;] (x,(f | A))
let x be object ; (F [;] (x,f)) * (id A) = F [;] (x,(f | A))
thus (F [;] (x,f)) * (id A) =
F [;] (x,(f * (id A)))
by Th34
.=
F [;] (x,(f | A))
by RELAT_1:65
; verum