I’m all for pedantry here but I’m not sure this one makes a difference. From my understanding a premise is a statement from which you draw a larger conclusion.

I’m all for pedantry here but I’m not sure this one makes a difference. From my understanding a premise is a statement from which you draw a larger conclusion. You’re saying you draw arguments from premises to support assertions... but as far as I can tell the formation of the sub argument is just making an assertion supported by premises to begin with, the formation of which acts as a premise to support the larger assertion. So I’m not sure I see the difference