Wiring – Adding recessed lighting to room with ceiling fan/light already installed

At the Light

• Connect the white wire that leads to the recessed lights, and the white wire from the fan/light to the white wire in the ceiling box.
• Connect the the black from the recessed lights, to the black ungrounded (hot) wire that's controlled by the dimmer.
• Connect the red wire from the fan/light, to the red ungrounded (hot) wire that is not controlled by the dimmer.
• Connect all the grounding conductors.

At the switch

• Connect the LINE wire (probably black, but depends on manufacturer) from the dimmer, in with the black wire from the feeder cable.
• Connect the black wire from the armored cable, to the switched (probably red) wire from the dimmer.
• Connect the ground wire from the dimmer, with the other grounds in the box.

This should allow the dimmer to control the recessed lights, and the remote to control the fan/light.

Of course this assumes that power comes to the switch first, and one of the wires in the cable is always hot.

Based on the info you've provided, it should look something like this.

According to the documentation for the dimmer, the black lead is LINE and the red lead is LOAD.

You could probably get by running 14-3 wire from the box to a double gang box. Make the white wire your incoming hot, nut it to your two switches, wire switch #1 to the black, and finally switch #2 to the red. You can then attach the lights to your black at the box, and the fan to the red.

NEC recommends dropping a neutral to the box, however. If you can, get some 14/2/2 wire (4 line) and use the blue (or white-red stripe in some) to bring your hot in. Hook the white to the neutral and then nut it off in the switch box.