reserve x for set,
  p,q,r,s,t,u for ExtReal,
  g for Real,
  a for Element of ExtREAL;

theorem
  for s being Real st p < r holds [.r,s.] c= ].p,+infty.[
proof
  let s be Real;
  s in REAL by XREAL_0:def 1;
  then s < +infty by XXREAL_0:9;
  hence thesis by Th47;
end;
