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Theorem rabeqbidva 2944
 Description: Equality of restricted class abstractions. (Contributed by Mario Carneiro, 26-Jan-2017.)
Hypotheses
Ref Expression
rabeqbidva.1
rabeqbidva.2
Assertion
Ref Expression
rabeqbidva
Distinct variable groups:   ,   ,   ,
Allowed substitution hints:   ()   ()

Proof of Theorem rabeqbidva
StepHypRef Expression
1 rabeqbidva.2 . . 3
21rabbidva 2939 . 2
3 rabeqbidva.1 . . 3
4 rabeq 2942 . . 3
53, 4syl 16 . 2
62, 5eqtrd 2467 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 177   wa 359   wceq 1652   wcel 1725  crab 2701 This theorem is referenced by:  natpropd  14165  gsumpropd2lem  24212 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-ext 2416 This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-clab 2422  df-cleq 2428  df-clel 2431  df-nfc 2560  df-ral 2702  df-rab 2706
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