As Bill noted, it is very important to realize that difluence does NOT necessarily imply divergence. Indeed, divergence is a function of difluence (and "directional" component, of sorts) and a speed component. Oftentimes, you'll see difluence downstream of the jet streak, right where you also see speed convergence (and vice versa for the area immediately upstream of a jet streak). Of course, the situation is much more complicated than this thanks to various ageostrophic accelerations. For example, ageostrophic divergence/convergence in the four quads of a "textbook" straight jet streak results in a transverse circulation that we've come to know (div in the right-entrance and left-exit regions; conv in the left-entrance and right-exit region).
Let's put this in context of a classic severe weather outbreak in the Plains. Such setups are often characterized by an upper-level trough over the Rocky Mountains and a jet streak "nosing" out onto the Plains states. The area downstream of a trough and upsteam of a ridge (or, the area in the Plains, if there is a trough to the west and a right to the east) will be an area where there is ageostrophic divergence associated with the change in the sign of curvature between the trough and ridge. In addition, there will be ageostrophic divergence in the left-exit region (the polar side) of the jet streak. Depending upon many other elements, the upper-level div in the left exit region (likely resulting in large-scale upward motion) and upper-level convergence in the right exit region (likely resulting in large-scale subsidence) will enhance the low-level jet over the Plains (the sinking motion on the south side may yield surface divergence to the south, while upward motion on the north side may yield surface convergence, thus the enhancement of the LLJ). So, there could be significant large-scale ascent over portions of the plains associated with both ageo curvature divergence and ageo div associated with the jet streak. Add in a vort max that is moving onto the Plains (where you may see differential cyclonic vorticity advection), and you could see significant mid level ascent (upward motion = cooling). Again, I have to say "could be" and "may yield" since this is only an idealm simple analysis.
It's also important to remember that you should use 200-300mb charts if you want to equate divergence = upward motion in the low levels and 1000-850mb charts if you want to equate convergence = upward motion above. If you try to discern low-level upward motion with a 500mb chart, you may have problems. For example, what happens if the "air" that's being evacuate in an area where you think there will be divergence at 500mb is not resulting in low-level upward motion but instead by upper-level downward motion? Static stability has a significant impact on the amount of vertical motion experienced as a result of differential vorticity advection (DPVA/DNVA) and thermal advection (CAA/WAA) which further complicates this.
If you'd like to learn more jet streak dynamics (very important for severe weather forecasting), I strongly suggest you watch the COMET MetEd module on jet streak at
https://www.meted.ucar.edu/loginForm.php?urlPath=norlat/jetstreaks# . You'll have to register first, but there are many other very informative MetEd modules that you may want to view as well.