u/Atom-ant

Hello-I'm wondering what happened to the notes on a fretboard when you place a capo on? Do the notes move up in semitones equal to the number of the fret it's placed on?

for Example, does the E string move up to A with a Capo 4 when picked open? Then first fret E string would be A#?

or does something else happen that I'm about to learn...

Thanks!