Theorem nfale2

Description: An inner existential quantifier's variable is bound. (Contributed by SN, 11-Feb-2026)

	Ref	Expression
Assertion	nfale2	$$⊢Ⅎx\forall y\exists x\phi$$

Proof

Step	Hyp	Ref	Expression
1		hbe1	$$⊢\exists x\phi \to \forall x\exists x\phi$$
2	1	nfalh	$$⊢Ⅎx\forall y\exists x\phi$$