reserve i,j,k,n,m,l,s,t for Nat;
reserve a,b for Real;
reserve F for real-valued FinSequence;
reserve z for Complex;
reserve x,y for Complex;
reserve r,s,t for natural Number;

theorem Th37:
  k/(k+1) < 1
proof
  m < m+1 by XREAL_1:29;
  hence thesis by XREAL_1:189;
end;
