let t be ext-real number ; for s being real number holds ].-infty,t.[ \ ].-infty,s.[ = [.s,t.[
let s be real number ; ].-infty,t.[ \ ].-infty,s.[ = [.s,t.[
s in REAL
by XREAL_0:def 1;
hence
].-infty,t.[ \ ].-infty,s.[ = [.s,t.[
by Th189, XXREAL_0:12; verum