The Premise is the conclusion of an argument.  It is not called a conclusion because each argument map may itself be used in a larger argument.

So the definition of an argument changes from

to

where a premise itself may be a reason or objection in a subsequent argument.

This is a premise in favour of the main premise or conclusion.

This is a premise against the main premise or conclusion.

This is a premise that works in conjunction with the associated reason or objection.