Where does “vivement” come from?

vivement (Norman) comes from Norman vif, from Old French vif, from Latin vīvus, from Proto-Italic gʷīwos, from Proto-Indo-European gʷih₃wós, from Proto-Indo-European gʷeih₃w- — to live.

Definitions

Ancestry of “vivement”, step by step

Step	Language	Word	Meaning
1	Norman	vif	alive, quick
2	Old French	vif	alive
3	Latin	vīvus	alive, living
4	Proto-Italic	gʷīwos	alive, living
5	Proto-Indo-European	gʷih₃wós	alive, living
6	Proto-Indo-European	gʷeih₃w-	to live

Every word from Proto-Indo-European gʷeih₃w- →Every word from Proto-Indo-European gʷih₃wós →Every word from Proto-Italic gʷīwos →