Theorem nfra2wOLDOLD

Description: Obsolete version of nfra2w as of 24-Sep-2024. (Contributed by Alan Sare, 31-Dec-2011) (Revised by Gino Giotto, 10-Jan-2024) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Assertion	nfra2wOLDOLD	⊢ Ⅎ 𝑦 ∀ 𝑥 ∈ 𝐴 ∀ 𝑦 ∈ 𝐵 𝜑

Proof

Step	Hyp	Ref	Expression
1		nfcv	⊢ Ⅎ 𝑦 𝐴
2		nfra1	⊢ Ⅎ 𝑦 ∀ 𝑦 ∈ 𝐵 𝜑
3	1 2	nfralw	⊢ Ⅎ 𝑦 ∀ 𝑥 ∈ 𝐴 ∀ 𝑦 ∈ 𝐵 𝜑