Moved from ON to QC, can I still claim my unused Provincial tuition?

I've seen various answers regarding this, and I'm hoping to get some advice.

I moved from Ontario (Ottawa) to Quebec (Gatineau) within the last few months of 2017. Because of this, I now have to file my taxes in Quebec. I have $8440 in unused Federal Tuition and $4500 in unused Provincial tuition. My school was also in Ontario. Can I still claim my provincial tuition amount when filing in Quebec?

I've read a few resources which told me to input the federal amount under the provincial section. Would I put the $8440 in both the federal section as well as the provincial section? This seems odd to me as I have only half that amount in provincial credits available.