let r be ext-real number ; for s being real number holds ].r,+infty.[ \ [.s,+infty.[ = ].r,s.[
let s be real number ; ].r,+infty.[ \ [.s,+infty.[ = ].r,s.[
s in REAL
by XREAL_0:def 1;
hence
].r,+infty.[ \ [.s,+infty.[ = ].r,s.[
by Th195, XXREAL_0:9; verum