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Theorem rgen3 2711
Description: Generalization rule for restricted quantification. (Contributed by NM, 12-Jan-2008.)
Hypothesis
Ref Expression
rgen3.1
Assertion
Ref Expression
rgen3
Distinct variable groups:   ,,   ,   ,,
Allowed substitution hints:   (,,)   ()   (,)   (,,)

Proof of Theorem rgen3
StepHypRef Expression
1 rgen3.1 . . . 4
213expa 1151 . . 3
32ralrimiva 2697 . 2
43rgen2 2710 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358   w3a 934   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-3an 936  df-ex 1542  df-nf 1545  df-ral 2619
This theorem is referenced by: (None)
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