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	$$⊢\mathrm{Fun}F\leftrightarrow \left(\mathrm{Rel}F\wedge \forall x{\exists }^{*}yxFy\right)$$

Proof

Step	Hyp	Ref	Expression
1		nfcv	$$⊢\underset{\_}{Ⅎ}xF$$
2		nfcv	$$⊢\underset{\_}{Ⅎ}yF$$
3	1 2	dffun6f	$$⊢\mathrm{Fun}F\leftrightarrow \left(\mathrm{Rel}F\wedge \forall x{\exists }^{*}yxFy\right)$$