G. Godefroy and the second author of this note proved in 1988 that in duals to Asplund spaces there always exists a projectional resolution of the identity.
A few years later, Ch. Stegall succeeded to omit from the original proof a deep lemma of S.
Simons. Here, we rewrite the condensed argument of Ch.
Stegall in a more transparent and detailed way. We actually show that this technology of Ch.
Stegall leads to a bit stronger object - the projectional skeleton.