Theorem nfna1

Description: A convenience theorem particularly designed to remove dependencies on ax-11 in conjunction with distinctors. (Contributed by Wolf Lammen, 2-Sep-2018)

	Ref	Expression
Assertion	nfna1	⊢ Ⅎ 𝑥 ¬ ∀ 𝑥 𝜑

Proof

Step	Hyp	Ref	Expression
1		nfa1	⊢ Ⅎ 𝑥 ∀ 𝑥 𝜑
2	1	nfn	⊢ Ⅎ 𝑥 ¬ ∀ 𝑥 𝜑