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 Th185, XXREAL_0:12; verum