Question 476595
the argument is:
statement: If I shower in the morning, then I do not smell bad.
premise: I showered in the morning.
conclusion: Therefore, I do not smell bad.

this argument is valid.

the general form of this implied statement is:
if p then q
p
therefore q

it is one of the 4 valid forms of argument.

it would be called:

Law of Detachment (Modus Ponens)

It is a direct form of reasoning.

If p is true than q is true.
p is true, therefore q is true.

Here's the reference:
<a href = "http://ux.brookdalecc.edu/fac/tlt/math/136/logic.pdf" target = "_blank">http://ux.brookdalecc.edu/fac/tlt/math/136/logic.pdf</a>
go to page 6.