An increase in the index from one point in time to a later point indicates a nominal appreciation over that period
Standard economic theory might suggest that would lead to lower prices than without such an appreciation, since imports would be cheaper and demand for exports could reduce
The Czech Krona was devalued at the end of 2013. An article published a year later by the Czech National Bank suggests it thought it achieved the aims, saying
Without having depreciated the exchange rate, deflation would have been significant, at least -1%, meaning that the Czech economy would already have entered deflation for an extended period. However, thanks to the exchange rate depreciation, the threat of deflation caused by a lack of demand and a downturn in the economy passed. Despite a significantly greater anti-inflationary effect abroad than was expected at the end of 2013, core inflation returned to positive values after nearly five years.
and this is consistent with standard economic theory
But if you want a rationalisation of why a currency appreciation may not have happened during a financial crisis, try thinking of a world where interest rates are tumbling worldwide and where carry-trade investors looking for nominal yield invest in countries where nominal interest rates are higher, possibly caused by higher inflation. Such a country might see higher inflation than other countries and at the same time an appreciating currency. The appreciating currency may then attract momentum investors, with the flood of money pushing interest rates lower than would be suitable to control inflation (especially if the country wanted to keep its exchange rates more stable), and the combination of more money and reducing interest rates could lead to higher inflation
To a small degree this may be what has happened in the Czech Republic more recently: it had slightly positive interest rates (until summer 2017, when they started to be increased) while the Euro area has had zero or negative short-term interest rates, and has seen an appreciation in the Krona against the Euro. There could be other explanations