Where does “mouver” come from?

mouver (Old French) comes from Old French movoir, from Latin moveō, from Proto-Italic moweō, from Proto-Indo-European mew- — to move.

Ancestry of “mouver”, step by step

Step	Language	Word	Meaning
1	Old French	movoir	to move; to cause, set in motion; to move,...
2	Latin	moveō	to move, stir, set in motion
3	Proto-Italic	moweō	to move
4	Proto-Indo-European	mew-	to move