let r, p be ext-real number ; :: thesis: ( r <= p implies ].r,+infty .[ \ {p} = ].r,p.[ \/ ].p,+infty .[ )
p <= +infty by XXREAL_0:3;
hence ( r <= p implies ].r,+infty .[ \ {p} = ].r,p.[ \/ ].p,+infty .[ ) by Th313; :: thesis: verum