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Theorem rgen2 2710
Description: Generalization rule for restricted quantification. (Contributed by NM, 30-May-1999.)
Hypothesis
Ref Expression
rgen2.1
Assertion
Ref Expression
rgen2
Distinct variable groups:   ,   ,
Allowed substitution hints:   (,)   ()   (,)

Proof of Theorem rgen2
StepHypRef Expression
1 rgen2.1 . . 3
21ralrimiva 2697 . 2
32rgen 2679 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358   wcel 1710  wral 2614
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-11 1746
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-nf 1545  df-ral 2619
This theorem is referenced by:  rgen3  2711
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