Having back up funds does not guarantee that your bitcoins are going to be safe, yet the quantity of your back up funds will help to mitigate any risk to your bitcoin investment to the extent that any emergency and/or cashflow problems may last that might be causing you to draw upon your back up funds (or emergency funds) for your expenses rather than your being able to rely upon your income and/or having excess discretionary income to take care of your expenses. The longer and more intense your cashflow shortage and the size of your back up funds will help to determine the extent to which your bitcoin investment might be put in jeopardy.
I totally agree with you sir JJG and of course backup does not guarantee that our bitcoin are going to be safe, rather the amount we have in our backup fund will determine the safety of our bitcoin. as an investor even if you decide to set emergency fund aside so far as you don't have a reasonable amount in your emergency fund there's all possibility that you will definitely touch your holdings, because there are some issues that can consume all the money you set for emergency and it won't even be enough to sort it out, at this point one will be left with no choice than to dip your hand in your holdings. Most guys have this strong believe that thier emergency fund is due to solve whatever problems that might come thier way, and of course this should be everyone's pray point, but the truth is that we can't tell for sure which is why we need to ensure that our emergency fund is well loaded just for safety reasons.
Your emergency funds should be at least 3-6 months of your income so that it can take care of whatever unforeseen circumstances that played out. Whenever, you tamper with your emergency funds to solve real emergency, it should be rifilled back when possible because it's the back bone of your bitcoin investment.
I agree with you that emergency fund is our back bone when unforseen circumstances happen, but I think it not compulsory that emergency fund must be 3 to 6 months ahead of our salary. I feel that discretion fund should be in position to be higher than emergency fund. reason because emergency don't happen frequently Rather regular expenses occure more frequently which will require discretion fund rather than emergency fund. Emergency fund don't need to be tamperd always or frequently like the discretion fund. If emergency fund is much higher than discretion fund then some regular ppl problem will be considered as emergency and will leed to always tampering emergency fund. But if discretion is higher than emergency them some problem that may even appear as emergency may be solved with discretion fund. Always considered discretion as a middle man between Bitcoin investment, emergency and family expenses.
My definition of an emergency fund is that it "doesn't exist" and it doesn't correlate to any math of your income.
You built, you forget about it, maybe make it work for you (e.g. low yield, low risk investment), and that's it. You don't calculate, you don't count on it, literally until you're holding your last pair of underwear

Anyhow, on-topic, always buying THE DIP, but still not sure if it's "the one."