Theorem hbn1

Description: Alias for ax-10 to be used instead of it. (Contributed by NM, 24-Jan-1993) (Proof shortened by Wolf Lammen, 18-Aug-2014)

	Ref	Expression
Assertion	hbn1	$$⊢\neg \forall x\phi \to \forall x\neg \forall x\phi$$

Proof

Step	Hyp	Ref	Expression
1		ax-10	$$⊢\neg \forall x\phi \to \forall x\neg \forall x\phi$$