I don't have an emergency fund, but I am well enough off that I don't think I need one.
I am 100% invested in the market, but I could survive a a good while on the money in my brokerage account so I saw no need to have any emergency funds. I take from it as needed anyways, so I am used to treating it like a checking account that makes uber good interest. I needed to write a check last week to the guys working on my patio/deck, didn't have enough in my actual checking account, so sold some stock, auto-deposited in actual checking, and then i had enough. I would do the same for any emergencies.