Theorem rgen2w

Description: Generalization rule for restricted quantification. Note that x and y needn't be distinct. (Contributed by NM, 18-Jun-2014)

	Ref	Expression
Hypothesis	rgenw.1	|- ph
Assertion	rgen2w	|- A. x e. A A. y e. B ph

Proof

Step	Hyp	Ref	Expression
1		rgenw.1	|- ph
2	1	rgenw	|- A. y e. B ph
3	2	rgenw	|- A. x e. A A. y e. B ph