Does Kai'Sa need to survive combat in order to draw a card when you conquer?

Ruling: Yes, Kai'Sa must survive combat to draw a card even if you conquer.

Sequence:

• Combat damage is dealt in the Combat Damage Step
• Units that die are removed during Combat Cleanup
• Conquering happens at the end of the Resolution Step
• Kai'Sa must still be alive when conquering occurs to trigger her draw ability