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