Theorem nfabg

Description: Bound-variable hypothesis builder for a class abstraction. Usage of this theorem is discouraged because it depends on ax-13 . See nfab for a version with more disjoint variable conditions, but not requiring ax-13 . (Contributed by Mario Carneiro, 11-Aug-2016) (New usage is discouraged.)

	Ref	Expression
Hypothesis	nfabg.1	|- F/ x ph
Assertion	nfabg	|- F/_ x { y | ph }

Proof

Step	Hyp	Ref	Expression
1		nfabg.1	|- F/ x ph
2	1	nfsabg	|- F/ x z e. { y | ph }
3	2	nfci	|- F/_ x { y | ph }