Eggs-xactly!
Bedbug eggs are tiny and almost as hard as diamonds. Some eggs have been found on a single strand of carpet fiber in a un-trodden room corner.
Chemicals will NOT destroy the eggs.
So, after killing all the adults you need to wait two weeks and re-soak with the chemicals again. In the meantime, if they hatch early and breed and lay eggs early, and/or some survive in some tiny crevasse and it is a bred female, then you really need to wait another two weeks after the second spraying and do it again—that is, a third time.
My father had a terrible infestation of them. His wife, my step mother, who recently died, spend several months in hospital and hospices before coming home to die. And they have an electric stove.
It is a well-known fact that hospitals have them, and it is a familiar vector for them to be brought into a house from a person recently hospitalized.
You should treat a hospital stay as you would a hotel visit.
Oh, and for the above on hospitals.... You can thank politicians vying for “Sanctuary City” votes.
All the vermin and disease we wiped out here in the USA is making a comeback ridin’ an illegal.