Theorem nfexa2

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

	Ref	Expression
Assertion	nfexa2	⊢ Ⅎ 𝑥 ∃ 𝑦 ∀ 𝑥 𝜑

Proof

Step	Hyp	Ref	Expression
1		hbe1a	⊢ ( ∃ 𝑥 ∀ 𝑥 𝜑 → ∀ 𝑥 𝜑 )
2	1	nfexhe	⊢ Ⅎ 𝑥 ∃ 𝑦 ∀ 𝑥 𝜑