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Theorem elab4g 2989
Description: Membership in a class abstraction, using implicit substitution. (Contributed by NM, 17-Oct-2012.)
Hypotheses
Ref Expression
elab4g.1
elab4g.2
Assertion
Ref Expression
elab4g
Distinct variable groups:   ,   ,
Allowed substitution hints:   ()   ()

Proof of Theorem elab4g
StepHypRef Expression
1 elex 2867 . 2
2 elab4g.1 . . 3
3 elab4g.2 . . 3
42, 3elab2g 2987 . 2
51, 4biadan2 623 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176   wa 358   wceq 1642   wcel 1710  cab 2339  cvv 2859
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-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-nfc 2478  df-v 2861
This theorem is referenced by: (None)
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