Theorem nfale2

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

	Ref	Expression
Assertion	nfale2	⊢ Ⅎ 𝑥 ∀ 𝑦 ∃ 𝑥 𝜑

Proof

Step	Hyp	Ref	Expression
1		hbe1	⊢ ( ∃ 𝑥 𝜑 → ∀ 𝑥 ∃ 𝑥 𝜑 )
2	1	nfalh	⊢ Ⅎ 𝑥 ∀ 𝑦 ∃ 𝑥 𝜑