reserve r,r1,r2,g,g1,g2,x0,t for Real;
reserve n,k for Nat;
reserve seq for Real_Sequence;
reserve f,f1,f2 for PartFunc of REAL,REAL;

theorem
  (ex r st 0<r & f|].x0-r,x0.[ is decreasing & not f|].x0-r,x0.[ is
  bounded_below) & (for r st r<x0 ex g st r<g & g<x0 & g in dom f) implies f
  is_left_divergent_to-infty_in x0 by Th27;
