Here comes my questions when wiring the recessed lights is it ok to tap into each can and only run one wire to the ceiling box? Black to black, white to white, ground to ground. (see diagram)
Yes, if the black in the fan box is from the dimmer. It could
be the red.
Also, when I eventually purchase a ceiling fan to install to the box, would I be using the red + black + ground ?
You will use the wire (red or black) that you didn't use for the lights + white........and of course the ground.
The basic circuitry is:
One wire(say black) supplies power to
One wire (red) supplies power to
The power from both comes back
on the white.