to not or not to

[allthewayanime]

In this sentence I would like to know which option would be better:(to not or not to)
e.g. Steve jobs gave us a very important lesson: to not/not to give up and keep on going,

[Preceptor]

Never split the two parts of an infinitive: to + verb. The proper form is 'not to give up.'

[5jj]

Never split the two parts of an infinitive: to + verb.

This is an artificial rule. In any case, 'to' is not an essential part of the infinitive. Many writers today refer to the to-infinitive (as in I ought to go) and the bare infinitive (as in I should go).

Many people prefer not to split thetwo parts of the to-infinitive, but is quite common to do so, especially in less formal writing and conversation.