“One can say that ‘Hegel died'” – was the commentary of Carl Schmitt about Hitler’s appointment on 31 January 1933.
Independently of what Schmitt himself meant by that, it occurs to me that the rise of a party entitled “National-Socialist” would apparently signify the end of a dialectics of the Hegelian type between Nationalists and Socialists, which were involved in a long-enduring battle for political power at that time. However, the operation of joining both the antithetical thesis of Politics in a kind of synthesis is still very Hegelian, so it represents a “fake” death of hegelianism, as the Nazi government was about to prove.
Schmitt should have said instead “Nietzsche died” (as well as God), because he sabotaged such a synthetical procedure by declaring himself, simultaneously, anti-Nationalism and anti-Socialism (and all its derivatives, such as Anarchism), so, anti-National-Socialism as a whole.
“NEITHER this NOR that” is quite different from “this AND that”.
Nietzsche’s negation truly leads to the death of Hegel’s system because it is negation of a negation, in order to affirm the affirmation of what can only be affirmative.
What can only be affirmative? Well, let’s not deny it.