Where does “non-sterile” come from?

non-sterile (English) comes from English non, from French non, from Old French non, from Latin nōn, from Old Latin noenum, from Proto-Indo-European óynos — one; single.

Ancestry of “non-sterile”, step by step

non-sterile traces back through two separate lines of ancestry.

via English non

Step	Language	Word	Meaning
1	English	non	Obsolete form of none
2	French	non	no; not; a no, a negative response
3	Old French	non	no; not; Alternative form of nom
4	Latin	nōn	not
5	Old Latin	noenum	—
6	Proto-Indo-European	óynos	one; single

via English sterile

Step	Language	Word	Meaning
1	English	sterile	Unable to reproduce; Terse; lacking sentiment or...
2	Middle French	stérile	—
3	Latin	sterilis	barren, sterile; unprofitable, futile
4	Proto-Indo-European	ster-	sterile, infertile

Every word from Proto-Indo-European óynos →Every word from Old Latin noenum →Every word from Latin nōn →