Where does “legierte” come from?

legierte (Old French) comes from Old French legier, from Vulgar Latin leviarius, from Latin levius, from Latin lēvis, from Proto-Italic leɣʷis, from Proto-Indo-European h₁léngʰus, from Proto-Indo-European h₁lengʷʰ- — light.

Ancestry of “legierte”, step by step

Step	Language	Word	Meaning
1	Old French	legier	light; slight
2	Vulgar Latin	leviarius	light
3	Latin	levius	comparative degree of leviter
4	Latin	lēvis	light, not heavy
5	Proto-Italic	leɣʷis	light
6	Proto-Indo-European	h₁léngʰus	lightweight
7	Proto-Indo-European	h₁lengʷʰ-	light

Every word from Proto-Indo-European h₁lengʷʰ- →Every word from Proto-Indo-European h₁léngʰus →Every word from Proto-Italic leɣʷis →