Theorem nfcrii

Description: Consequence of the not-free predicate. (Contributed by Mario Carneiro, 11-Aug-2016) Avoid ax-10 , ax-11 . (Revised by GG, 23-May-2024)

	Ref	Expression
Hypothesis	nfcrii.1	|- F/_ x A
Assertion	nfcrii	|- ( y e. A -> A. x y e. A )

Proof

Step	Hyp	Ref	Expression
1		nfcrii.1	|- F/_ x A
2	1	nfcri	|- F/ x y e. A
3	2	nf5ri	|- ( y e. A -> A. x y e. A )