namely bragg!!It's funny how Lee always gets blamed for wanting to keep his army intact. How often did Johnston or Bragg offer to send troops to fight in Virginia? It wasn't Lee's job to make these decisions. Had they been sent to Mississippi after Chancellorsville, they probably would have arrived too late (Champion's Hill was May 16), and i can assure you Johnston would not have used them to any good effect.
And as it turned out, except for a lucky break when Wood's Union division pulled out of line, the assault at Chickamauga may have ended in bloody repulse. We know that Longstreet's two excellent divisions were absolutely wasted in the Chattanooga and Knoxville campaigns. Let's face it, the problem in the West wasn't a disproportionate shortage of men, it was awful generalship again and again.