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1: Though you could have done this part earlier, it's a little more efficient if you choose to do it now in the walkthrough as you won't have to backtrack. There's a toxic spill you'll first need to take care of before you head down to Lower Seattle. After entering the Inclinator Facility, talk to the female director nearby. She'll offer you a reward for helping to clean it up. Proceed down the hall to a guard.
2: After talking to him, he'll allow you to pass, but warn you about the hostile security bots inside. There are in fact two you'll need to bypass, but it's easy. There's an alternate way into the spill area if you move the wooden pallet by the guard to reveal a vent. However, I found it easier to simply open the door beyond the guard and wait for the security bot to get to the far end of the room, and make a dash for the door on the right just as you enter.
3: Once safely in the room, head to the other side and enter the director's office. You'll find 100 credits on a shelf, and a vent on the right side. Enter it and exit into the room above the hazardous spill. Crawl along the beams to the opposite end of the room and use the hazard flush control panel to clean up the spill.
4: Now that it's safe, use the nearby ladder to descend to the ground, and take the stairs down on the left side of the room, near door with a repair bot inside. Talk to the maintenance tech there and you'll have free access to the repair bot back upstairs. Now exit through the door opposite the repair bot and return to the facility director near the entrance for your reward. Don't worry about the security bots, as they are now friendly.
5: After collecting your 100 reward, head back to the former spill area and take a right to the inclinator controls. Use them and you'll descend to another large room, now in Lower Seattle. Ahead and slightly on your left is a pit with a ladder. Below is a spider bot, so wait for it to appear and throw an EMP grenade down. Descend to find a few items, including a recovery of an EMP grenade. Or, you could simply walk down the ladder and run to get the items, taking slight damage in return for the EMP.
6: To the left of the pit with ladder is an opening above a ledge, and far to its right, a door to the same area. Run to the opposite side of the room, pick up a crate, set it below the opening, jump atop the box, and mantle up the ledge to crawl through the opening. In the next room, grab the items, including an EMP converter mod, and head out the door down the walkway. Time for the Lower Seattle Slums and the Greasel Pit. Exit the area through the maintenance door on the opposite side of the large room.