Theorem wl-rgen2w

Description: Generalization rule for restricted quantification. Note that x and y needn't be distinct. (Contributed by Wolf Lammen, 10-Jun-2023)

	Ref	Expression
Hypothesis	wl-rgenw.1	$$⊢\phi$$
Assertion	wl-rgen2w	$$⊢\forall x:A\forall y:B\phi$$

Proof

Step	Hyp	Ref	Expression
1		wl-rgenw.1	$$⊢\phi$$
2	1	wl-rgenw	$$⊢\forall y:B\phi$$
3	2	wl-rgenw	$$⊢\forall x:A\forall y:B\phi$$