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Theorem rabswap 2790
Description: Swap with a membership relation in a restricted class abstraction. (Contributed by NM, 4-Jul-2005.)
Assertion
Ref Expression
rabswap

Proof of Theorem rabswap
StepHypRef Expression
1 ancom 437 . . 3
21abbii 2465 . 2
3 df-rab 2623 . 2
4 df-rab 2623 . 2
52, 3, 43eqtr4i 2383 1
Colors of variables: wff setvar class
Syntax hints:   wa 358   wceq 1642   wcel 1710  cab 2339  crab 2618
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-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-rab 2623
This theorem is referenced by: (None)
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