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Metamath Proof Explorer

Theorem nfexa2

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

		Ref	Expression
	Assertion	nfexa2	$⊢ Ⅎ x \exists y \forall x φ$

Step	Hyp	Ref	Expression
1		hbe1a	$⊢ \exists x \forall x φ \to \forall x φ$
2	1	nfexhe	$⊢ Ⅎ x \exists y \forall x φ$