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