i find the topic of real exchange rate appreciation / depreciation often not very well explained.
even the excerpt below from the following accepted answer on this website is not correct in my opinion.
The home currency appreciates in real terms against a foreign currency either if the home currency appreciates in nominal terms or if the home country's inflation rate is lower than that in the foreign currency.
specifically, the part in bold i believe is wrong. if the home country's inflation rate is lower than that of the foreign country, then all else equal, the home currency should depreciate in real terms as the domestic consumption basket becomes cheaper relative to the foreign consumption basket
some of the confusion abounds because of the different quoting conventions (X vs 1/X, foreign vs domestic, etc)