Before revision:  The new observation (by Szybowski), that " no PC submatrix may have a worse inconsistency indicator than the given PC matrix " is an essential simplification of the axiomatization. The goal of formulating axioms for all future definitions of new inconsistency indicators is difficult and as illusive as the inconsistency concept itself .
After revision:  The new observation (by Szybowski), that " no PC submatrix may have a worse inconsistency indicator than the given PC matrix " and that there must be a PC submatrix with the same inconsistency as the given PC matrix .