Theorem 2ax5

Description: Quantification of two variables over a formula in which they do not occur. (Contributed by Alan Sare, 12-Apr-2011)

	Ref	Expression
Assertion	2ax5	⊢ ( 𝜑 → ∀ 𝑥 ∀ 𝑦 𝜑 )

Proof

Step	Hyp	Ref	Expression
1		id	⊢ ( 𝜑 → 𝜑 )
2	1	alrimivv	⊢ ( 𝜑 → ∀ 𝑥 ∀ 𝑦 𝜑 )