let T be non empty RelStr ; for A, B being Subset of T
for n being Element of NAT holds (Fcl A,n) \/ (Fcl B,n) = (Fint ((A \/ B) ` ),n) `
let A, B be Subset of T; for n being Element of NAT holds (Fcl A,n) \/ (Fcl B,n) = (Fint ((A \/ B) ` ),n) `
let n be Element of NAT ; (Fcl A,n) \/ (Fcl B,n) = (Fint ((A \/ B) ` ),n) `
(Fcl A,n) \/ (Fcl B,n) =
Fcl (A \/ B),n
by Th17
.=
(Fint ((A \/ B) ` ),n) `
by Th27
;
hence
(Fcl A,n) \/ (Fcl B,n) = (Fint ((A \/ B) ` ),n) `
; verum