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;
hence ].-infty ,t.[ \ ].-infty ,s.] = ].s,t.[ by Th187, XXREAL_0:12; :: thesis: verum