u/SydykSpat

Hi, I am new to the hellblazer universe and I am a bit confused about rise & fall version of Lucifer. I know it is a one-shot so its adaptation is not really linked to the continuity but in it, the characters of Lucifer seem to be both referred to as Lucifer Morningstar and as the First of the fallen. My understanding in canon (new here so I might be wrong) was that these two were different characters. Should I consider the rise and fall version as a completely different one? ( If so, what is his history with Constantine? The one of the first? The one of Lucifer?) Or is he merely an alternate version of one of the other two?

Thanks for your answers!