let t be ext-real number ; :: thesis: for s being real number holds [.-infty ,t.] \ [.-infty ,s.[ = [.s,t.]
let s be real number ; :: thesis: [.-infty ,t.] \ [.-infty ,s.[ = [.s,t.]
s in REAL by XREAL_0:def 1;
then -infty < s by XXREAL_0:12;
hence [.-infty ,t.] \ [.-infty ,s.[ = [.s,t.] by Th184; :: thesis: verum