A substantial pressure difference between the upstream and downstream side of a valve can make it difficult to open a valve. On most mainline block valves (MLBV) a bypass or equalization line (consisting of a smaller valve on either side of the MLBV and some associated piping) is constructed around the MLBV to allow for some equalization around the valve before it is opened, thereby making it easier to operate the valve.
Let me explain, if you have full line pressure (1500psig) on one side of the ball, slab gate, or expanding gate and 0psig on the other side, the pressure actually forces the ball, gate, etc. toward the seat on the low pressure side, this is what cause the valve to contain pressure or product. Vavles are actually designed to work off of differential pressure. If the pressure is high enough the friction can get so great between the seat and the ball that it can be hard to operate. Now, if you have some way to equalize the pressure around the valve the friction will decrease and the valve will be eastier to open. I hope that made sense.
In the situation you described, you shouldn't have a problem if you have some sort of equalization around the trap valve. In most cases you are going to want to equalize the pressure in the pig launcher/recever prior to launching the pig. If you don't, you can actually cause th pig to "burp" back up into the l/r rather then send it down the line.
Hope that helps.
ODEM