Theorem dffun6OLD

Description: Obsolete version of dffun6 as of 19-Dec-2024. (Contributed by NM, 9-Mar-1995) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Assertion	dffun6OLD	⊢ ( Fun 𝐹 ↔ ( Rel 𝐹 ∧ ∀ 𝑥 ∃* 𝑦 𝑥 𝐹 𝑦 ) )

Proof

Step	Hyp	Ref	Expression
1		nfcv	⊢ Ⅎ 𝑥 𝐹
2		nfcv	⊢ Ⅎ 𝑦 𝐹
3	1 2	dffun6f	⊢ ( Fun 𝐹 ↔ ( Rel 𝐹 ∧ ∀ 𝑥 ∃* 𝑦 𝑥 𝐹 𝑦 ) )