Metamath Proof Explorer

Theorem rgen2

Description: Generalization rule for restricted quantification, with two quantifiers. This theorem should be used in place of rgen2a since it depends on a smaller set of axioms. (Contributed by NM, 30-May-1999)

Ref Expression
Hypothesis rgen2.1 x A y B φ
Assertion rgen2 x A y B φ


Step Hyp Ref Expression
1 rgen2.1 x A y B φ
2 1 ralrimiva x A y B φ
3 2 rgen x A y B φ